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
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Paper - I
1) 3251 + 587 + 369 - ? = 3007
13) 
1) 1250 2) 1300 3) 1375 4) 1200
1)  2)  3)  1 4)  2
5)  9 9
5
14) The value of (256) 4 is :
2) 666 ÷ 6 ÷ 3 = ?
1) 512 2) 984 3) 1024 4) 1032
1) 37 2) 333 3) 111 4) 84
5)  15) (1000)7 + 1018 = ?
1) 10 2)100 3) 1000 4) 10000
3) 587 x 999 = ?
1) 586413 2) 587523 3) 614823 4) 615173 16) 88% of 370 + 24% of 210 - ? = 118
1) 256 2) 258 3) 268 4) 358
857 x 854 x 854 - 276 x 276 x 276
4) 854 x 854 + 854 x 276 + 276 x 276 =? 17) 86% of 50 + 50% of 860 = ?
1) 1130 2) 578 3) 565 4) 1156 1) 430 2) 516 3) 860 4) 960
5) 
18) Photostat copy 
5)   
1) 1 , 2 , 4 , 3 , 5 , 6 2) 1 , 2 , 3 , 4 , 5 , 6
(discount) copy
3 5 7 5 6 7 3 5 5 7 6 7    
1) Rs. 3920 2) Rs. 3980
3) 1 , 2 , 3 , 5 , 4 , 6 4) 2 , 3 , 1 , 4 , 5 , 6
3 5 5 6 7 7 5 5 3 7 6 7 3) Rs. 4900 4) Rs. 4920
6) 0.002 x 0.5 = ?
18) Photostat copy 
1) 0.0001 2) 0.001 3) 0.01 4) 0.1
 
7) 16.02 x 0.001 = ? (discount) copy
1) 0.0001602 2) 0.01602    
3) 0.1602 4) 1.6021 1) Rs. 3920 2) Rs. 3980
3) Rs. 4900 4) Rs. 4920
8) .009 = .01
?
1) .0009 2) .09 3) .9 4) 9 19) Rs. 
Rs.
9) 1260 ÷ 15 ÷ 7 = ? (transaction) 
1) 12 2) 58 3) 122 4) 588 1) 8% 2) 9% 3) 10% 4) 11%
5) none of these
20) 5% of (25% of Rs. 1600) is
10) The value of 0.16 is : 1) Rs. 5 2) Rs. 17.50
0.4
1) 0.02 2) 0.2 3) Rs. 20 4) Rs. 25
3) 0.63 4) none of these
21) What percent is 3% of 5% ?
2-1
11) If 2 = 1.414, the square root of 2 + 1 is nearest to : 1) 15% 2) 30% 3) 50% 4) 60%
1) 0.172 2) 0.414 3) 0.586 4) 1.414
2
22) 
5

12)  
1)  2)  1) 12.75 2) 85
3)  4)  3) 204 4) none of these
23) of  33) Jacob 
1) 12 2) 16 3) 24 4) 32 Rs. 
24)  


1) Rs. 400 2) Rs. 440
1) 28 2) 50 3) 52 4) 70
3) Rs. 500 4) Rs. 550
25) 
34)  Rs.

1) 672 2) 700 3) 749 4) 848
 
 
26)   
  
 
  1) Rs. 12,000 2) Rs. 13,000
1) 2700 2) 2900 3) 3000 4) 3100 3) Rs. 14,000 4) Rs. 15,000

27)  35) Rs.

 Rs. 
 
1) 2382 2) 2450 1) 20% 2) 22 1 % 3) 25% 4) 27 1 %
2 2
3) 2518 4) none of these

28) Rs.  Rs.


2 11 1
1) 15% 2) 12 % 3) 17 % 4) 17 %
3 17 4
29) Rs. 
 
1) Rs. 26.10 2) Rs. 43
3) Rs. 43.20 4) Rs.46.40

30) Sales Tax Rs. 

Sales Tax 
C.P. 
1) Rs. 500 2) Rs. 515
3) Rs. 550 4) Rs.600

31) Rs.  Saransh 

 octroi
Rs.

1) Rs. 86 2) Rs. 87.48
3) Rs. 89 4) Rs.90

32) Rs. 

Rs.kg
Toned Rs.per kg
Cream, Rs.Toned

1) 25% 2) 35.3%
3) 37.5% 4) 42.5%
 
1) 4 2) 1 3) 1 4) 2 5) 1 6) 2 7) 2 8) 3 9) 1 10) 3 11) 2 12) 2
13) 3 14) 3 15) 3 16) 2 17) 3 18) 4 19) 2 20) 3 21) 4 22) 2 23) 2 24) 2 25) 2
26) 1 27) 3 28) 3 29) 4 30) 1 31) 4 32) 2 33) 3 34) 2 35) 3
 
8597
17) Given expression = [ 860 x 50+ 50 x 860] = 430 + 430
- 3071 100 100
1) 3251 4207 - x = 3007 5526
= 860.
+ 587  x= 4207 - 3007 = 1200. 18) Total cost = Rs. [1 x 1000 + (100 - 2)% of 1 x 4000]
+ 369
= Rs. (1000 + 0.98 x 4000)
4207
= Rs. (1000 + 3920) = Rs. 4920.
2) 666 x 16 x 13 = 37.
19) Actual price = Rs. (25 + 2.50) = Rs. 27.50.
3) 587 x 999 = 587 x (1000 - 1) 2.50 x 100 % =100 % = 9 1 % = 9%
= 587 x 1000 - 587 - 1 = 587000-587
Saving = [ 27.50 ] 11 11
= 586413 5 25
20) 5% of (25% of Rs. 1600) = Rs. [100x [ 100 x 1600]]
4)  (a3-b3) = (a-b)= (854-276) = 578.
(a2+ab+b2) = Rs. 20.
5) Converting each of the given fractions into decimal 21) Required percentage = [ 3%x100]%
5%
form, we get:
(3/100)
1 2 4 3 5 6 = [ (5/100) x 100]% = 60%
= 0.33, = 0.4, = 0.57, = 0.6, = 0.82, = 0.857
3 5 7 5 6 7
Clearly, 0.33< 0.4 < 0.57 < 0.6 < 0.82 < 0.857.
22) Let the number be x.
1 2 4 3 5 6
So, < 5< < < <
3 7 5 6 7
Then, x - 2 x = 510 3 x = 510 x = [510x5 ]
5 5 3
6) 2 x 5 = 10. Sum of decimal places = 4.
= 850.
0.002 x 0.5 = 0.0010 = 0.001.
10% of 850 = 85.
7) 1602 x 1 = 1602. Sum of decimal places = 5.
23) Let the number be x . Then,
16.02 x 0.001 = 0.01602.
25
15% of 40 - 25% of x = 2 x = 510x5
[ x 40] - 2
8) Let .009 = 0.1 Then x =.009 = .9 = 9. 100 3
x .01 1 x
4 =4
x = 16.
9) Given expression = 1260 ÷ 7 = 84 ÷ 7 = 12.
15 24) Let the number be x. Then, x - 40% of x = 30
3x
10) 0.61 = 0.61 = 16 = 4
= 0.4= 0.63. x - 40 x = 30 x - 2 x = 30 = 30
0.4 0.40 40 10 100 5 5
30x5
x=[ ] = 50.
11) 2 - 1 = ( 2 - 1) = ( 2 - 1) = ( 2 - 1)2. 3
2 + 1 ( 2 + 1) ( 2 - 1)
25) Let the total number of votes polled be x.
12) Average = 3(1+2+3+4+5) = 45 = 9.
5 5 Then, votes polled by other candidate = (100 - 84) %
13) Average =[ 2+3+5+7+11+13+17+19+23 ]= 100 = 11 11 . of x = 16% of x.
9 9 9
5 5
5
14) (256) 4 = (44) 4 = 4 [4x 4 ] = 45 = 1024. 84% of x - 16% of x = 476 68 x = 476
100
(1000)7 (103)7 10(3x7) 1021
15) (1000)7 1018 = = = = 18 = (10)(21-18) x = [ 476x 100 ] = 700.
1018 1018 1018 10 68
= 103 = 1000.

16) Let 88% of 370 + 24% of 210 - x = 118. 26) Number of valid votes = 80% of 7500 = 6000.

Then, x = [ 88 x 370] + [ 24 x 210] - 118 = 325.60 Valid votes polled by other candidate = 45% of 6000
100 100
+ 50.40 - 118 = 376 - 118 = 258.
= [ 45 x 6000) = 2700.
100
27) Let the number of valid votes be x.

Then. 52% of x - 48% of x = 98 4% of x = 98

4 x = 98 x = 98 x 25 = 2450.
100

28) S.P. = Rs. 100, gain = Rs. 15.

C.P. = Rs. (100-15) = Rs. 85.
15
Gain % = [ x 100]% = 300 % = 17 11 %
85 17 17

29) C.P. = Rs. ( 100 x 34.80) = Rs. 46.40.

75

30) 110% of S.P. = 616 S.P. = Rs. ( 616 x 100 )

110
= Rs. 560.
C.P = Rs. ( 100 x 560) = Rs. 500.
112
31) Total investment = Rs. [120 x 80 +280 + 40 x 120
100
+ 72]

= Rs. (9600 + 280 + 48 + 72) = Rs. 10000.

S.P. of 120 reams = 108% of Rs. 10000 = Rs. 10800.

S.P. Per ream = Rs. [ 10800 ] = Rs. 90.

120
32) Investment = Rs. (20 x 8 + 10) = Rs. 170. Receipt =
Rs. (30 x 5 + 20 x 4) = Rs. 230.
60
Gain % = ( x 100)% = 35.29% = 35.3%
170

33) Let the C.P. be Rs. x. Then, 20% of x = 1100 20

100
x x = 1100 x = 5500.

Actual price = Rs. ( 100 x 5500) = Rs. 5000.

110
Expenditure on repairs = Rs. (5500 - 5000)
= Rs. 500.

34) Total cost incurred = Rs. [ 100 x 25 x (95% of 2000)]

125
100
= Rs. ( x 25 x 1900) = Rs. 38000.
125
Loss to the manufacturer = Rs. [38000 - (25 x 1000)]
= Rs. 13000.

35) C.P. = Rs. (600 + 600 x 6 x 4 ) = Rs. 612. Gain

100 x 12
= Rs. (765 - 612) = Rs. 153.

Gain % = [ 153 x 100]% = 25%

612
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Paper - 2
1) Alfred Rs.  Rs. 11) 3 : 5 
Rs. 
1) 4 4 % 2) 5 5 % 3) 10% 4) 12%  
7 11
2) Rs. kg 1) 27 2) 33 3) 49 4) 55
Rs.per kg 12) A : B = 5 : 4, B : C = 9 : 10 

1) 4 1 % 2) 6 1 % 3) 8 1 % 4) 20 %
C 
6 4 3 1) Rs. 340 2) Rs. 400 3) Rs. 450 4) Rs. 475
3) Rs. P  Q  R 
Rs. 13) Q  = R  = S  = 2 
3
1) 3.5 2) 4.5 3) 5.6 4) 6.5 P, Q, R, S P
5) None of these 1) Rs. 140 2) Rs. 160 3) Rs. 240 4) Rs. 320

4) Rs. oranges  Rs. 14) Rs. Rs. P, Q 

  
2
1) 14
7
% gain 2) 15% gain 
3) 14 2 % loss 4) 15% loss 1) 3 : 4 2) 3 : 5 3) 15 : 23 4) 17 : 23
7
5) None of these
5) Rs. 
S.P. 15) Rs. Rs.Anand,
1) Rs. 1090 2) Rs. 1160 Deepak
3) Rs. 1190 4) Rs. 1202 Rs. Deepak
1) Rs. 5400 2) Rs. 7200 3) Rs. 8400 4) Rs.9600
6) Rs.A B 
A  16) Rs. Rs.Rs.
C B C A, B, CRs.
1) Rs. 472 2) Rs. 476 A, B, C 
3) Rs. 528 4) Rs. 532 1) Rs. 10,500, Rs. 13,500, Rs. 16,500
2) Rs. 11,500, Rs. 13,000, Rs. 16,000
7) If 2A = 3B and 4B = 5C, then A : C is :
3) Rs. 11,000, Rs. 14,000, Rs. 15,500
1) 4 : 3 2) 8 : 15 3) 15 : 8 4) 3 : 4
4) Rs.11,500, Rs. 12,500, Rs. 16,500
8) If 0.75 : x : : 5 : 8, then x is equal to :
17) x dy 
1) 1.12 2) 1.20 3) 1.25 4) 1.30

9) If x : y = 5 : 2, then (8x 9y) : (8x + 2y) is : xy
1) Rs. ( ) 2) Rs. ( xd )
d
1) 22 : 29 2) 26 : 61 3) 29 : 22 4) 61 : 26
yd
3) Rs. ( yd ) 4) Rs.( )
1 : 2 : 3 x
10)
2 3 4

  18) 
1) Rs. 182 2) Rs. 190 
3) Rs. 196 4) Rs. 204 1) 48 paise 2) 54 paise 3) 56 paise 4) 72 paise
19) 35 + 15 x 1.5 = ? 0.361
29) 0.00169 = ?
1) 75 2) 51.5 3) 57.5 4) 5.25
5)  1) 1.9 2) 19
13 13
3) 1.9 4) 190
20) 72519 x 9999 = ? 130 13
1) 725117481 2) 674217481
1
3) 685126481 4) 696217481 30) ( 3 - )2 simplifies to :
3
5)  3 4
1) 4 2) 3
21) (935421 x 625) = ? 4
3) 3 4) None of these
1) 575648125 2) 584638125
3) 584649125 4) 585628125 31) 
1) 20 2) 22 3) 23 4) 24
22) 
 32) 

5 7 8 11 5 8 11 7
1) , , , 2) , , , 1) 2 2) 5 3) 8
9 11 15 17 9 15 17 11
11 7 8 5 11 7 8 8 4) Cannot be determined 5) None of these
3) , , , 4) , , ,
17 11 15 9 17 11 9 15
33) 
23) .04 x ? = .000016.

1) 0.0004 2) 0.04
1) 13 2) 17 3) 19
3) 4 4) None of these
4) Data indequate 5) None of these
5 1 2 1
24) 6
6
x5
3
+ 17
3
x4
2
=? 34) 
1) 112 1 2) 116 2

3 3 1) 15 years 2) 15.5 years
3) 240 4) 663
3) 16 years
5) None of these
4) Cannot be computed with the given information
2 5
25) 5 ÷ ? =2
3 6 35)  
1) 2 2) 3

3) 4 4) None of these

3 
26) 1 

16 1) 250 2) 276 3) 280 4) 285
1) 1 1 2) 4
8 3
3) 15 4) None of these
16
27) If 18225 = 135, then the value of
( 182.25 + 1.8225 + 0.018225 + 0.00018225)
is:
1) 1.49985
2) 14.9985
3) 149.985
4) 1499.85
55 x
28) If 1+ = , then x is equal to :
729 27
1) 1 2) 13
3) 27 4) None of these
 
1) 2 2) 3 3) 3 4) 1 5) 3 6) 3 7) 3 8) 2 9) 3 10) 4 11) 2 12) 2
13) 2 14) 5 15) 3 16) 1 17) 4 18) 1 19) 3 20) 1 21) 2 22) 4 23) 1 24) 5 25) 1
26) 4 27) 2 28) 1 29) 4 30) 3 31) 3 32) 3 33) 2 34) 4 35) 4
 

1) C.P. = Rs. (4700 + 800) = Rs. 5500; S.P. = Rs. 5800. 4 4

12) A : B = 5 : 4, B : C = 9 : 10 = (9 x 9 ) : (10 x 9 )
300 5
Gain % ( x 100)% = 5 %
5500 11 = 4 : 40 .
9
2) C.P. of 1 kg = Rs. ( 420 ) = Rs. 6. S.P. of 1 kg
70 A : B : C = 5 : 4 : 40 = 45 : 36 : 40.
9
= Rs. 6.50.
25 1
Gain % = ( 0.50 x 100)% = 3 % = 8 3 %. 13) P = 2x Q = 3x  
6
Q 2 3
3) C.P. of 1 toy = Rs. ( 375 ) = Rs. 31.25. S.P. of 1 toy = R= Q=(
3
x 3x) =
9x
.
12 R 3 2 2 2
= Rs. 33. R 2 3 9x
= S= R = ( 3 x ) = 27x.
28 S 3 2 2 2 2
Profit % = [ 1.75 x 100]% = % = 5.6%.
31.25 5 9x
 P = 2x,P = 2x, Q = 3x, R = and S =27x .
2 2
4) C.P. of 1 orange = Rs. ( 350 ) = Rs. 3.50. S.P. of 1 9x 27x
P + Q + R + S = 1300 (2x + 3x + + ) = 1300
100
2 2
orange = Rs. ( 48 ) = Rs. 4. (8x + 12x + 18x + 27x )
12
0.50
Gain % = ( x 100)% = 100 % = 14 2 %. = 5200
3.50 7 7

5) S.P. = 85% of Rs. 1400 = Rs. ( 85 x 1400) 65x = 5200 x = 5200

100 65
= 80.
= Rs. 1190.
P = Rs. (2 x 80) = Rs. 160.
6) C.P. for B = 120% of Rs. 400 = Rs. ( 120 x 400)
100
14) P : Q = 85000 : 15000 = 85 : 15 = 17 : 3.
= Rs. 480.

A 3 B 5
7) 2A = 3B and 4B = 5C = and = 15) Ratio of their shares = 22500 : 35000 = 9 : 14
B 2 C 4
A 3 5 Deepak's share = Rs [13800 x 14 ] = Rs. 8400.
= ( A x B ) = ( x ) = 15 A : C = 15 : 8.
C B C 2 4 8 23

6 16) A : B : C = 35000 : 45000 : 55000 = 7 : 9 : 11.

8) (x x 5) = (0.75 x 8) x= = 1.20.
5
7
8x +9y A's share = Rs (40500 x ) = Rs. 10500.
9) Let x = 5k and y = 2k and y = 2k. Then, 27
8x +2y
B's share = Rs. (40500 x 9 ) = Rs. 13500.
(8 x 5k) + (9 x 2k) 58k
= = = 29 27
(8 x 5k) + (2 x 2k) 44k 22
C's share = Rs. (40500 x 11 ) = Rs. 16500.
(8x + 9y) : (8x + 2y) = 29 : 22. 27
d
1 2 3 17) Cost of x metres = Rs. d. Cost of 1 metre = Rs. ( )
10) Given ratio = 2 : 3 : 4 = 6 : 8 : 9. x
d
6 Cost of y metres = Rs. ( x y) = Rs. ( yd ).
1st part = Rs. (782 x ) = Rs. 204. x x
23

11)  3x, 5x  18) Let the required cost be x paise. Less weight, Less

3x + 9 12 cost (Direct Proportion)

= 23(3x-9) = 12(5x-9) 9x = 99
5x +9 23
x = 11 250 : 200 : : 60 : x
(200x60)
= (3 x 11) = 33. 250 x x = (200 x 60) x= x = 48.
250
 S

19) x 

45
29)
0.361
=
0.36100
=
36100 190
2 0.00169 0.00169 169 = 13 .
725190000
1 1 1
20) 7259 x 9999 = 72519 x (10000 - 1) - 72519 30) ( 3 - 1 )2 = ( 3)2 + ( 3 )3 - 2 x 3 x 3 = 3 + 3 - 2
3
725117481
= 72519 x 10000 - 72519 x 1 1 4
=1+ = .
3 3
= 725190000 - 72519 = 725117481
31) Let the numbers be x, x + 1, x + 2, x + 3, x + 4, x + 5

21) 995421 x 625 = 935421 x 54 = 935421 x ( 10 )4

2 and x + 6.
935421 x 104 = 9354210000
24 16 Then, x + (x + 1) + (x + 2) + (x + 3) + (x + 4) + (x + 5) + (x + 6)
7
= 584638125
= 20
22) Converting each of the given fractions into decimal
or 7x + 21 = 140 or 7x = 119 or x = 17.
form, we get :
5 7 8 11 Largest number = x + 6 = 23.
= 0.55, = 0.63, = 0.533, = 0.647.
9 11 15 17
7 32) Let the numbers be x, x + 2, x + 4, x + 6, and x + 8.
Clearly, 0.647 > 0.63 > 0.55 > 0.533. So, 11 > 11 > 5
17 9
8 Then, x + (x + 2) + (x + 4) + (x + 6) + (x + 8)
> . 5
15
.000016 .0016 = 61 or 5x + 20 = 305 or x = 57.
23) Let. 04 x x = 000016. Then, x = =
.04 4

= .0004. So, required difference = (57 + 8) - 57 = 8.

159
24) Given exp. = [41 x 16 + 53 x 9 ] = [ 328 + ] 33) Let the numbers be x, x + 2, and x + 4.
6 3 3 2 9 2
656 +1431
= = 2087 = 11517 . Then, (x + x + 2 + x + 4) - x+x+2+x+4
18 18 18 3
2 5
25) Let 5 ÷x = 2. Then, 17 ÷ x 5 = 2 x 5 = 17 x or (3x + 6) - (3x + 6) = 38 or 2 (3x + 6) = 114 or 6x
3 6 3 6 6 3 3
1 = 17 x5 = 25 . = 102 or x = 17.
2 6 6 6
So, first number = x = 17.
x = 2.

192 - 162
34) 
26) Required difference = 19 - 16=
16 19 16 
=
(19+16) (19 - 16)
=
35 x 3
=
105
. 
304 304 304
18225 18225 18225 18225 35) Since the month begins with a Sunday, so there will
27) Given exp. = 102 + 104 + 106 + 108
18225 18225 18225 be five Sundays in the month.
= + + 18225 +
10 102 103 104

=
135 135
+ +
135
+
135
10 100 1000 10000
Required average = ( 510 x 5 + 240 x 25
30
)
8550
= = 285.
= 13.5 + 1.35 + 0.135 + 0.0135 = 14.9985. 30

55 x 784 27 + x 28
28) 1+ = 1 + 27 729 = 27 = 27
729
27 + x
= 27 + x = 28 x = 1.
27
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Paper - 3
1)  batches  8)  
 
 
1) 53.33 2) 54.68 1) 3 2) 4
3) 55 4) none of these
3) 9
2)  kgs 4) Cannot be determined
kgs 5) None of these
 9) 
1) 47.55 kgs 2) 48 kgs

3) 48.55 kgs 4) 49.25 kgs 1) 16 years
3)  2) 18 years
 Rs.  Rs. Rs. 3) 28 years
 Rs. 4) Cannot be determined
 5) None of these
1) Rs. 7.98 2) Rs. 8
10) P, Q  P Q
3) Rs. 8.50 4) Rs. 9 
4) x y 1) 3 : 4
z 2) 3 : 5
1) x = y + z 2) 2x = y + z 3) 4 : 3
3) x = 2y + 2z 4) None of these 4) Data inadequate
5) None of these
5) Rs.
 11) P, Q Q 
Rs. P 
1) Rs. 260 P, Q 
2) Rs. 290 1) 48 years
3) Rs. 292.50 2) 52 years
4) Rs. 400.50 3) 56 years
4) Cannot be determined
6)    5) None of these

 12) 
1) 3 2) 5 
3) 9 4) 11 
1) 12 years
7)  
 2) 15 years
 3) 19 1 years
2
1) 1 2) 2 4) 21 years
3) 4 4) Data inadeuqate
13) (17)3.5 x (17)? = 178 22) per kgkgkg 
1) 2.29 2) 2.75 3) 4.25 4) 4.5  kg
14)  per kg 
 1) No profit, no loss 2) 5%

 3) 8% 4) 10%

1) 2382 2) 2450 6) None of these

3) 2518 4) none of these 23) per kg  kg

15)  per kg  kg

  kg 

  1) Rs. 14.80 2) Rs. 15.40

  3) Rs. 15.60 4) Rs. 16.30

1) 25000 2) 33000 6) Rs. 18.20

3) 35000 4) 40000 24) kg  kg

16)  
 per kg padam 
  kg kg
 
1) 4.2 2) 6.4 3) 6.8 4) 8 1) Rs. 12.50

17) A  2) Rs. 13.50

B  3) Rs. 14.50

A  4) Rs. 15.50
 6) None of these

25) kg 
1) 10,000 2) 45,000
3) 60,000 4) 72,000

kg 
18) Tailors X, Y  
Y X  1) 8% 2) 9%
 Y  3) 10% 4) None of these
1) Rs. 200 2) Rs. 250
3) Rs. 300 4) None of these 26) 

19) 
oranges  
1) 2 2) 3 3) 4 4) 6

oranges  27) 
1) 30 dozens 2) 40 dozens
A, B
3) 50 dozens 4) 60 dozens
  
20) toffees  C 
   1) 5 : 7 2) 5 : 9
1) 3 2) 4 3) 5 4) 6 3) 7 : 5 4) 9 : 5

21) toffees  28) 

  1) 7 : 15 2) 15 : 23
 3) 17 : 25 4) 21 : 29
1) 5 2) 8 3) 10 4) 15
29) A, B B 

1) Rs. 11,200 2) Rs. 6400
3) Rs. 19,200 4) Rs. 39,200

30) B A C B 

A, B,C 

1) 16 : 9 : 18 2) 25 : 18 : 10
3) 18 : 25 : 10 4) 15 : 8 : 30

31) A, B,C A 

B C 
Rs.
C 
1) Rs. 45 2) Rs. 50
3) Rs. 55 4) Rs. 60

32) A, C A,

B, Rs. 
B 
1) Rs. 24,200 2) Rs. 36,300
3) Rs. 48,400 4) Rs. 72,600

33) A, B 

 B  
C 

1) 3 : 5 : 2 2) 3 : 5 : 5
3) 6 : 10 : 5
4) Data inadequate
5) None of these
1 1 1
34) 2 3 4
A, B,C


A 
Rs. 378 
 B 
1) Rs. 129 2) Rs. 144
3) Rs. 156 4) Rs. 168
7 4 6
35) 
A, B,C 
2 3 5
A 

Rs. B 
1) 16 : 9 : 18 2) 25 : 18 : 10
3) 18 : 25 : 10 4) 15 : 8 : 30
 
1) 2 2) 3 3) 1 4) 2 5) 3 6) 4 7) 4 8) 2 9) 5 10) 5 11) 1 12) 2
13) 4 14) 3 15) 1 16) 3 17) 3 18) 2 19) 4 20) 3 21) 2 22) 2 23) 4 24) 2 25) 3
26) 2 27) 3 28) 4 29) 1 30) 2 31) 1 32) 3 33) 3 34) 2 35) 4
 
1) Required average = ( 55 x 5055+ 60+ 60x 55+ 45+ 45 x 60 ) 7) x y 
= ( 2450 + 3300
160
+ 2700
)= 8750
160
(10x+ y) = 9
x=1
= 54.68.
y  .
(inadequate).
2) Required average = ( 50.25 x 1616 ++845.15 x 8 )
8) x y 
= ( 804 +24361.20 )= 1165.20
24 (10x+ y) - (10y + x) = 36 9 (x - y) = 36 x - y = 4.
= 48.55.
9) Let Rahul's age be x years. Then, Sachin's age

3) Total quantity of petrol consumed in 3 years (x - 7) years.

( 4000
=
7.50
+
4000
8
+
4000
8.50
)litres x-7
x
7
= 9 9x - 63 = 7x 2x = 63
2
= 4000 ( 15 +
1
8
+
2
17
)litres x = 31.5

Total amount spent = Rs. (3 x 4000) = Rs. 12000. Hence, Sachin's age = (x - 7) = 24.5 years.

 10) Let P's age and Q's age be 6x years and 7x years

Avarage cost = Rs. ( 12000 x 51

76700 ) = Rs. 6120
767 respectively.

= Rs. 7.98. Then, 7x - 6x = 4 x=4

4) Clearly, we have : x = ( 3y +6 3z ) or 2x = y + z. Required ratio = (6x + 4) : (7x + 4) = 28 : 32

= 7 : 8.
5) Let the average expenditure be Rs. x. Then.
11) Let the present ages of P and Q be 5x years and 7x
9x = 8 x 30 + ( x + 20) or 9x = x + 260 or 8x = 260 or
years respectively.
x = 32.50.
Then, 7x - (5x + 6) = 2 2x = 8 x = 4.
Total money spent = 9x = Rs. (9 x 32.50)
Required sum = 5x + 7x = 12x = 48 years.
= Rs. 292.50.
12) Let the present ages of Arun and Deepak be 4x years
and 3x years respectively.
6) x y 
Then,
x + y. 4x + 6 = 26 4x = 20 x = 5.
Deepak's age = 3x = 15 years.
x + y.

(10x + y) + (10y + x) = 11 (x + y), 

13) Let (17)3.5 x (17)x = 178. Then, (17)3.5 + x = (17)8.
 3.5 + x = 8 x = (8 - 3.5) x = 4.5.
14) Let the number of valid votes be x.
19) oranges C.P. = Rs. (10 + 8) = Rs. 18.
Then. 52% of x - 48% of x = 98 4% of x = 98
 oranges S.P. = Rs. 22.
4 x = 98 x = 98 x 25 = 2450.
100 Rs. 4oranges 
15)  x.  Rs. 120 oranges( 2 x120)
4
of x. 
90% of (90% of x). 20) 6 toffees C.P. = Re. 1; 6 toffees S.P. = 120% of Re. 1

54% of [90% of x)] - 46% of [90% of (90% of x)] 6

= Rs. .
5
= 1620 Rs. 6  toffees = 6. Re. 1  toffees
5
8% of [90% of (90% of x)] = 1620 = (6 x 5 )= 5.
6
8 90 90
x x x x = 1620 21) 12 toffees S.P = Rs. x  80 : 1 = 120
100 100 100
1620x100x100x100
x={ } = 25000. x = ( 120 3
80 ) =
8x90x90 :x .
2
Rs. 3 toffees = 12. Re. 1 toffees
16) x.  2
= (12 x 2 )= 8.
  of x. 3

 22) kg  C.P = Rs (26 x 20 + 30 x 36)

ofof x = Rs. (520 + 1080) = Rs. 1600.
85 8 68
=( 100x 100x x) = 1000 x. kgS.P = Rs (56 x 30) = Rs. 1680.
68x 1 80
= ( 1000 x x x 100)% = 6.8% = ( 1600 x 100)% = 5%.

23) kg  C.P = Rs (30 x 11.50 + 20 x 14.25)

17) 
= Rs. (345 + 285) = Rs. 630.
A    of x.
kgS.P = 130% of Rs. 630 = Rs. x 630
B ofof x
60 70 = Rs. 819.
=( 100 x 100 x 100 )% of x = 42% of x.
kgS.P= Rs.( 819 ) = Rs. 16.38
= [100 - (30 + 42)]% of x = 28% of x. 50
= Rs. 16.30.
30% of x - 28% of x = 1200 2% of x = 1200
1200x100
24) kg Rs.x(26 x 20 + 30 x 36)
x=( ) = 60000.
2
kgC.P = Rs (30 x 17.50 + 30 x x)

18) Y Rs. z. = Rs. (525 + 30x).

1116 - (525 + 30x 591 - 30x 1

z + 120% of z = 550 x 100 = 20 =
525 + 30x 525 + 30x 5
120 11
z + 100 z = 550 5 z = 550 2955 - 150x = 525 + 30x 180x = 2430
550 x 5
z=( ) = 250. 2430
x = ( 180 ) =( 27
) = 13.50.
11 2

C.P = Rs.13.50 per kg.

25) Suppose he bought 2 kg. 4 kg and 3 kg of the three 33) Let the initial investments of A and B be 3x and 5x.

varieties. A : B : C = (3x + 12) : (5x x 12) : (5x x 6)

C.P. of 9 kg = Rs. (2 x 50 + 4 x 20 + 3 x 30) = 36 : 60 : 30 = 6 : 10 : 5.

1 1 1
= Rs. 270. 34) Ratio of initial investments = : : = 6 : 4 : 3.
2 3 4
S.P. of 9 kg = kg = Rs. (9 x 33) = Rs. 297. Let their initial investments be 6x, 2x and 3x respec-
27
Profit % = ( x 100 )% = 10%. tively.
270
A : B : C = (6x x 2 + 3x x 10) : (4x x 12) : (3x x 12)
26) x 
6-x 16 = 42 : 48 : 36 = 7 : 8 : 6.
< 21 (6 - x) < 16 ( 7 - x) 5x > 14
7 - x 21 8
B's share = Rs. (378 x 21 ) = Rs. 144.
x > 2.8.
7 4 6
35) Ratioof initial investments = : : =105 : 40 : 36
 2 3 5

7 7 Let their initial investments be 105x, 40x and 36x

27) C (
9
+
18
) units = 76 units
A : B : C = (105x x 4 + 150 x 105x x 8) : (40x x 12)
C = (
2
9
+
11
18
) units = 56 units 100
7 : (36x x 12)
 : 5 = 7 : 5.
6 6
= 1680x : 480x : 432x = 35 : 10 : 9 .
7 15 17 21
28) 15 = 0.466. = 0.652, = 0.68 and = 0.724.
23 25 29 Hence, B's share = Rs. (21600 x 10 )
54
 0.724  21 : 29 
= Rs. 4000.
29) B 
7
B Rs. ( 3 x 4800 )

= Rs. 11200.

30) C x 

B (x + 8) A (x + 15).
x + (x + 8) + (x + 15) = 53 x = 10.

A : B : C = (10 + 15 ) : (10 + 8) : 10 = 25 : 18 : 10.

31) A : B : C = 10 x 7 : 12 x 5 : 15 X 3 = 70 : 60 : 45

= 14 : 12 : 9.
9
C's rent = Rs.(175 x ) = Rs. 45.
35
32) A : B : C = 3 : 2 B : A = 2 : 3 = 4 : 6 and A : C

= 2 : 1 = 6 : 3.

So, B : A : C = 4 : 6 : 3 or A: B : C = 6 : 4 : 3.

B's share = Rs. (157300 x 4 ) = Rs. 48400.

13
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Paper - 4
1) A, B,  7)
1
S.I.
4
 14   
1
A B 
5  1) Rs. 787.50 2) Rs. 812.50
Rs.  3) Rs. 860 4) Rs. 887.50
A  1
8) 
2

1) Rs. 330 2) Rs. 360
S.I.
3) Rs. 380 4) Rs. 430
1) Rs. 22.50 2) Rs. 27.30
1
2)  1
A 3) Rs. 28.80 4) Rs. 29
6 1 6
1 B
6 3 9) S.I.
  1
 S.I.
4
Rs.B 
1) Rs. 650 2) Rs. 800 1) Rs. 112.50 2) Rs. 125
3) Rs. 960 4) Rs. 1000 3) Rs. 150 4) Rs. 167.50

3) A, B, C  10) p.a. S.I.

Rs.A, Rs.   
B,Rs.C,  1) 3.5 years 2) 4 years
 A 3) 4.5 years 4) 5 years
Rs. 11) Albert  
B p.a. C.I.
1) Rs. 1900 2) Rs. 2660 
3) Rs. 2800 4) Rs. 2840 1) Rs. 8600 2) Rs. 8620
3) Rs. 8800 4) Rs. 8840
4) ARs.A, B, C 
5) None of these
 Rs.
Rs.A Rs.B C 12) p.a.C.I.
1) Rs. 4000 2) Rs. 5000 1) Rs. 9000.30 2) Rs. 9720
3) Rs. 6000 4) Rs. 9000 3) Rs. 10123.20 4) Rs. 10483.20
5) None of these
5) 
13) 1
 p.a.
 4
 C.I.
1) Rs. 2929 2) Rs. 3000
1) 3 : 7 2) 5 : 7 3) 7 : 3 4) 7 : 5
3) Rs. 3131 4) Rs. 3636
6) 
14) 

C.I. 
 
1) 1 : 3 2) 2 : 3
1) Rs. 565.25 2) Rs. 635
3) 3 : 4 4) 4 : 5
3) Rs. 635 4) Rs. 666.50
15) Sam  24) 
C.I.   
 
1) Rs. 16,500 2) Rs. 16,525,50 1) 60% 2) 60 2 % 3) 66%
3) Rs. 16,537,50 4) Rs. 18,150 3
5) None of these 4) 66 2 % 5) None of these
3

16) A B  25) 

 
1) 5 days 2) 6 days C.P. C.P. 
3) 8 days 4) 9 days 1) Rs. 240 2) Rs. 260 3) Rs. 280
4) Data inadequate 5) None of these
17) A B 
  4
26) 
5 
 (insure)  Rs.
1 1
1) 6 2) 9

1) Rs. 78,500 2) Rs. 80,000
3) 2 4) 2
5 7 3) Rs. 82,500 4) Rs. 87,500

18)  27)  

 
  
1) Less than 6 days 2) Exactly 6 days 
3) Approximately 6.4 days 4) More than 10 days 
1 1) 20 lakh tons 2) 80 lakh tons
19) 
4 X 
1 3) 200 lakh tons 4) 800 lakh tons
Y   Z 
3
  28) A 
1) X 2) Y B 
3) Z 4) X and Z both 
A B 
20) A, B 
  
1) 7600 2) 8000

3) 8400 4) Data inadequate
1) 12 min 2) 15 min 3) 25 min 4) 50 min

21)  29) 

 
   
1) 12 years 2) 14 years 3) 18 years 4) 20 years
1) 4.5 hrs 2) 5 hrs 3) 6.5 hrs 4) 7.2 hrs
30) A, B B, C 
22) 
 A C 
2 1 1) 12 2) 24
1) 6 % 2) 7 %
3 4 3) C is elder than A 4) Data inadequate
1 1
3) 12 % 4) 13 % 5) None of these
2 3

23) T.V. set  31) 

  
2
 1) 9 3 2) 10
1) 24.8% 2) 25% 3) 26.4%
3) 10 1 4) 11 1
4) Cannot be determined 5) None of these 5 5
5) None of these
32) Rs. 
Rs.
Rs.
1) 20 2) 21 3) 22 4) 23

33)  



1) 150 2) 250 3) 350 4) 450

34) 


1) 1 : 2 2) 2 : 3 3) 3 : 4 4) 3 : 5

35) 



1) 5 2) 10 3) 20 4) 30
 
1) 1 2) 2 3) 2 4) 2 5) 3 6) 2 7) 1 8) 2 9) 1 10) 2 11) 5 12) 3
13) 1 14) 3 15) 3 16) 2 17) 1 18) 3 19) 3 20) 1 21) 4 22) 1 23) 5 24) 4 25) 5
26) 4 27) 3 28) 2 29) 4 30) 1 31) 2 32) 2 33) 1 34) 2 35) 3
 

1) A : B = [4x x 3 +(4x - 1 x 4x) x 7] : [5x - 1 x 5x) x 7] 6) By the rule of alligation :

4 5
= (12x + 21x) : (15x + 28x) = 33x : 43x = 33 : 43.
Cost of 1 kg rice of 1st kind Cost of 1 kg rice of 2st kind
A's share = Rs. (760x 33 ) = Rs. 330.
76 720p 570 p
y x y
2) Rs. x 
6  A ; Rs. 3 
3 
6
Mean price
B, 
630 p
x
C invests [ x - ( x + )] i.e., Rs. x for y months.
6 3 2
x
A : B : C = ( x x y ) :( x + y ) : ( 2 x y) 90
6 6 3 3 60
1 1 1
= 36 : 9 : 2 = 1 : 4 : 18. Required ratio = 60 : 90 = 2 : 3.

B = Rs. (4600 x 4 ) = Rs. 800.

23 7) Time = 9 months = 3 year.
4
3) A of Rs.  25 3 1
S.I. = Rs. [ 16800 x 4 x 4 x100 ] = Rs. 784.50.

Rs.  1
8) Time = (22 + 30 + 21) days = 73 days = year.
5
Rs.  Rs.  1
S.I. = Rs. [ 1820 x 15 x 1 x ] = Rs. 27.30.
2 5 100
(6500 x 6) : (8400x5) : (10000 x 3) 25 2
9) Gain in 2 yrs. = Rs.[(5000 x x
4 100
)-( 5000x4x2
100
)]
= 39000 : 42000 : 30000 = 13 : 14 : 10.
= Rs.(652 - 400) = Rs. 225.
14
B  = Rs. (7030 x ) = Rs. 2660.
37
Gain in 1 year = Rs. ( 225 ) = Rs. 112.50.
2
4) A : B : C = 500 : 300 : 200 = 5 : 3 : 2. 100 x 81
10) Time = ( ) years = 4 years.
450 x 4.5
Let their capitals be 5x, 3x and 2x respectively.
5
11) Amount = Rs. (8000x(1+ 100 )2)
Then, 5x = 10000 x = 2000.
21 21
Rs. (8000x x )= Rs. 8820.
20 20
C's capital = 2x = Rs. 4000.
12 2
12) Amount = Rs. (25000x(1+ ))
100
5) By the rule of alligation :
Rs. (25000x 28 x 28 x 28 )
25 25 25
Cost of 1 kg pulses of 1st kind Cost of 1 kg pulses of 2st kind
= Rs. 35123.20
Rs. 15 Rs. 20
C.I. = Rs. (35123.20 - 25000) = Rs. 10123.20.

Mean price
13) Time = 2 73 years = 2 1 Years.
Rs. 16.50 365 5
1 25
25
[
Amount = Rs. 20480(1 + 4 x 100 ) (1+ 5 x 4 )
2

100
]
3.50 1.50 = Rs. (20480 x 17 x 17 x 81 ) = Rs. 23409.
16 16 80

Required ratio = 3.50 : 1.50 = 35 : 15 = 7 : 3. C.I. = Rs. (23409 - 20480) = Rs. 2929.
 5 3 5 
14) Amount = Rs. [200(1 + ) + 200 (1 +100 )2 + 200
100
5 Rs. 2; S.P. = Rs. 80.
(1 + )]
100
21 21 21 5 2
= Rs. (200x x x + 200 x 21 x 21 +200 x 21 ] ( 75 x 100)% = 6 3 %.
20 20 20 20 20 20
= Rs. [200 x 21 ( 21 x 21 + 21 + 1)]
20 20 20 20 23) S.P. = Rs. 17940. = Rs. x 
= Rs. 662.02.
92 x = 17940 x = Rs. (17940 x 100 ) = Rs. 19500.
15) P = Rs. 15000; R = 10% p.a. = 5% per half-year; T=1 100 92

year = 2 half-years. C.P. = Rs. ( 100 x 17940) = Rs. ( 1000 x 17940)

119.6 1196
5 2
Amount = Rs.[15000x(1+ )] = Rs. 15000.
100
= Rs. (15000x 21 x 21 ) = Rs. 16537.50.
20 20 C.P. = Rs. 15000, S.P. = Rs. 19500.
4500
1
16) A B  1 
15000
x100
10 15
1 1 1
(A + B)
10 15 6 24) S.P. = Rs. 45.
 = Rs. x 
1 90
17) A B  1 x = Rs. ( 45x100 ) = Rs. 50.
18 9 100 x = 45 90
1 1 1
(A + B)
18 9 6 C.P. = Rs. ( 100 x 45) = Rs. 30
150
1 1 1 47
18) 
15 20 25 300 C.P. = Rs. 30, S.P. = Rs. 50.
300


47 
20 x100
30
2
3
19) X, (10 x 4)
25) S.P. = Rs. 266.
Y, (40 x 100
40
) 
= Rs. x 
Z, (13 x 3) 
95
100 x = 266 x = Rs. (266 x 100 ) = Rs. 280.
Z  95

1 S.P. = Rs. 280, S.P. = 12%.

20) A 
20
B 

 1 S.P. 
100 x280
= Rs 
112

30
1 1 1
(A + B)  =Rs.
20 30 12
 26) Let the original value of the tempo be Rs. x. Then,

1 1 5 4 13 1 4
21)  1.3% of 5 of x = 910 10 x 100 x 5 x x = 910
4 9 36
36

5
 x= (910x10x100x5
13x4
) = 87500.
22) Rs.  27) Let the total production be x lakh tons. Then, 15% of

x - 10% of x = (40 - 30) lakh tons

Then, S.P. = Rs. ( 90 x 100) = Rs, 90. 
100
5% of x = 10 lakh tons x = (10x100)
100 5
C.P. = Rs. ( x 90) = Rs. 75.
120 = 200 lakh tons.
28) Let the number of candidates appeared from each

state be x.

Then, 7% of x - 6% of x = 80 1 % of x = 80

x = 80 x 100 = 8000.

29) Let the present ages of son and father be x and

(60 - x) years respectively.

Then, (60 - x) - 6 = 5 (x - 6) 54 - x = 5x - 30

6x = 84 x = 14.

Son's age after 6 years = (x + 6) = 20 years.

30) (A + B) - (B + C) = 12 A - C = 12.

31) Let the numbe be x. Then, x - 4 = 8 x - 4 = 48

6
x = 52.
x - 2 52 - 2 50
5 = 5 =
5
= 10.

32) Let the total number of workers be x. Then,

8000x - (12000 x 7) + 6000 (x-7) 2000x = 42000

x = 21.

33) Let the number of girls be x. Then, number of boys =

(600 - x).

Then (11 3 x 600) = 11x + 12 (600 - x)

4
x = 7200 - 7050 x = 150.

34) Let the ratio be k : 1. Then.

k x 16.4 + 1 x 15.4 = (k + 1) x 15.8

2
(16.4 - 15.8) k = (15.8 - 15.4) k = 0.4 =
0.6 3
Required ratio = 2 : 1 = 2 : 3.
3
35) Let the initial number of persons be x. Then,

16x + 20 x 15 = 15.5 = (x + 20) 0.5x = 10 x = 20.

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Paper - 5
1 1 1
2 ÷ 2 of 2 8) 
1) The value of is :
1 + 1 of 1
2 2 2 
1
1) 1 2) 1 2
3 
3

2 1) 6 2) 18
3) 2 3 4) 3
3) 27 4) 36
1
2) If 2 = x + 1 + 1 , then the value of x is : 9) 
3 +1 
4

1) 12 2) 13 3) 18 4) 21
17 17 17 17 
1) 8 years 2) 10 years
3) 24 + 216 =? 3) 12 years 4) 15 years
96
2
10) 
1) 2 6 2) 2 3) 6 2 4) 1
6 3 

4) 0.204 x 42 is equal to : 1) 25 years 2) 30 years
0.07 x 3.4
3) 36 years 4) Cannot be determined
1) 1 2) 0.06 3) 0.6 4) 6
6 5) None of these

11) (1000)7 + 1018 = ?

5) ( 22 +- 33 + 2- 3 3- 1
2 + 3 + 3 + 1 ) simplifies to : 1) 10 2)100 3) 1000 4) 10000

1) 16 - 3 2) 4 - 3 3) 2 - 3 4) 2 + 3 12) (256)0.16 x (256)0.09 = ?

1) 4 2) 16 3) 64 4) 256.25
6) kg. kg.
13) 5% of (25% of Rs. 1600) is
 1) Rs. 5 2) Rs. 17.50
kg. 3) Rs. 20 4) Rs. 25
 1
14) 0.15% of 33 3 of Rs. 10,000 is
1
1) 52 2) 52 1
3 2 1) Rs. 0.05 2) Rs. 5
3) 52 2 4) None of these 3) Rs. 105 4) Rs. 150
3
7)  15) 30% of 28% of 480 is the same as
 1) 15% of 56% of 240 2) 60% of 28% of 240
3) 60% of 56% of 240 4) None of these
 
 16)  
1) 22 years 2) 24 years 
1) 30% 2) 35%
3) 28 years 4) 30 years
3) 37.5% 4) None of these
17)   26) 
  
 1) 20 km/hr 2) 24 km/hr
    3) 28.5 km/hr 4) 30 km/hr

18) B A C  27) kmphmetre/sec 

B C A  
 1) 10.8 2) 18 3) 30 4) 38.8
1) Rs. 110 2) Rs. 120
3) Rs. 125 4) Rs. 150
28) metres / second 
1) 28 km/hr 2) 46.6 km/hr
19) A  set  3) 50.4 km/hr 4) 70 km/hr
B 
B C C  29) 
Radio set A  
 
1) Rs. 850 2) Rs. 890 1) 3 : 7 2) 5 : 7 3) 7 : 3 4) 7 : 5
3) Rs. 930 4) Rs. 950 1
30) 
2
p.a. S.I.
20)   
 1) Rs. 796 2) Rs. 816
 3) Rs. 918 4) Rs. 956
1) 20 2) 30 3) 48 4) 58 1
31) 
4
S.I.
21) Rs.  A    
Rs. B  1) Rs. 787.50 2) Rs. 812.50
  3) Rs. 860 4) Rs. 887.50
B 
32) Albert  

1) 4 months 2) 5 months
p.a. C.I.
3) 6 months 4) 8 months

1) Rs. 8600 2) Rs. 8620
22)  3) Rs. 8800 4) Rs. 8840
 5) None of these

1) 48 paise 2) 54 paise 3) 56 paise 4) 72 paise 33) 

23) A, B C  

 
7
1) 1 day 2) 24 day 1) 40 2) 50
24
3) 120 4) Data inadequate
3) 3 day 4) 4 day 5) None of these
7

24) A, B  34) 4 kmph 


  1) 18000 m2 2) 19000 m2
 3) 20000 m2 4) 25000 m2

1) 12 min 2) 15 min 3) 25 min 4) 50 min 35)  

   
25)  
2 1) 20 2) 24
1) 8 m/sec 2) 20 m/sec
9 3) 30 4) 33
1
3) 22 9 m/sec 4) None of these
 
1) 3 2) 4 3) 2 4) 4 5) 1 6) 3 7) 4 8) 2 9) 3 10) 4 11) 3 12) 1
13) 3 14) 2 15) 2 16) 3 17) 4 18) 4 19) 2 20) 2 21) 4 22) 1 23) 3 24) 1 25) 3
26) 4 27) 3 28) 3 29) 3 30) 3 31) 1 32) 5 33) 5 34) 3 35) 3
 

1 1 1
2 4 4 8 2
1) Given exp. = ÷ = 2x 4 = 2x 3 = 3 = 2 3. 9) 3x 
1 + 1 2+1
2 4 4 4x + 4 = 9 7 (4x + 4) = 9 (3x + 4) x = 8.
3x + 4 4
1 1 1 
2) x = 2 -1 + 1 = 2 -1 + 4 = 2 - (17 / 13)
(13/4) 13

= 2 - 13 = 21 . 32 - z 5
17 17 Then, = 3 (32 - z) = 5 (24 - z) 2z = 24
24 - z 3
z = 12.

3) 24 + 216 = 4x6 + 36x6 = 2 6 +6 6 = 8 6 = 2. 10) Let the school ages of Neelam and Shaan be 5x and
96 16 x 6 46 4 6

204 x 42 = 6x years respectively. Then,

4) Given exp. = 36 = 6. 1
7 x 34
3 x -5x = 5 1
( x 9 x 5x) = (
5
x 6x) 15 = 15.
1 x 6x 9 3 2
2
5) Given exp. = (2 + 3) x (2 + 3) + (2 - 3) x (2 - 3) Thus, Shaan's age cannot be determined.
(2 - 3) (2 + 3) (2 + 3) (2 - 3)
( 3 -1) ( 3 -1)
+ x ( 3 -1) (1000)7 (103)7 10(3x7) 1021
( 3 +1) 11) (1000)7 1018 = = = = 18 = (10)(21-18)
1018 1018 1018 10
(2 + 3)2 (2 - 3)2 ( 3 - 1)2 = 103 = 1000.
= + + = [(2 + 3)2
(4 - 3) (4 - 3) (3 - 1)
4-2 3 12) (256)0.16 x (256)0.09 = (256)(0.16 +0.09) = (256) 0.25
+ (2 + 3)2] +
2 25
= (256)[100 ]
1 1 1
= 2(4 + 3) + 2 - 3 = 16 - 3.
= (256) 4 = (44) 4 = 4(4x 4 ) = 41 = 4.

5 25
13) 5% of (25% of Rs. 1600) = Rs. [100x [ 100 x 1600]]
6) Sum of the weights of the students after replacement
= Rs. 20.
= [(52 x 45) - (48 x 5) + (54 x 5)] kg = 2370 kg.
15 1
New average = (
2370
) kg = 53 23 kg.
14) 0.15% of 33 % of Rs. 10,000 = Rs [ 100 x
100
x
45
100 1
( x x 10000)] = Rs. 5.
3 100
7) Total age increased = (8 x 2) years = 16 years.
60 28
15) Clearly, 60% of 28% of 240 = [ 100 x 100 x 240]
Sum of ages of two new men = (21 + 23 + 16) years
= ( 30 x 28 x 2 x 240)
= 60 years 100 100
30
60 =( x 28 x 480) = 30% of 28% of 480.
Average age of two new men = ( ) years 100 100
2
= 30 years.
16) kg
of 1000 gm = 800 gm.
gm C.P. = Re. 1
8) 2x- 6
 2 x
 2x 2x- 6 4x
3x 3 3x 3x 9x C.P. = Rs.800.
2 2
= 18x - 54x = 12x S.P = 110% of C.P. of 1 kg = Rs.
6x2 = 54x x = 9. ( 110 x 1000) = Rs. 1100.
100

= 2x = 18. ( 300

800
x 100)% = 37.5%
17)  25) Speed = (80 x 5 ) m/sec = 200 m/sec = 22 2 m/sec.
18 9 9
C.P. Re.1 
26) Speed = 200 m/sec = 25 m/sec = ( 25 x 18 )
Rs. 100.  24 3 3 5

  km/hr = 30 km/hr.

S.P. Rs. 1.10. 5

27) 108 kmph = (108 x ) m/sec = 30 m / sec.
18
Rs. (1.10 x 80) = Rs. 88. 28) 14 m/sec = (14 x 18 ) km/hr = 50.4 km/hr.
5
12
( 100 x 100) % = 12%
29) By the rule of alligation :
125 120
18) 125% of 120% of A = 225 x x A = 225
100 100
2 Cost of 1 kg pulses of 1st kind Cost of 1 kg pulses of 2st kind
A = (225 x ) = 150.
3
Rs. 15 Rs. 20
19) 110% of 90% of 120% of A = 1188
Mean price
110 90 120 1188 Rs. 16.50
x x A = 1188 A = 1188
100 100 100 1000
A = 1000.
3.50 1.50
A purchased it for Rs. (1000 - 110) = Rs. 890. Required ratio = 3.50 : 1.50 = 35 : 15 = 7 : 3.
1 9
30) Time = 2 yrs 3 mths = 2 yrs = yrs.
20) Let the three parts be A, B, C. Then, 4 4
9
3 3 S.I. = Rs. [ 4800 x 17 x x 1 ] = Rs. 918
A : B = 2 : 3 and B : C = 5 : 8 = (5 x ):(8 x ) = 3 24: 2 4 100
5 5 5
A : B : C = 2 : 3 : 24 = 10 : 15 : 24 B = (98 x 15 ) 31) Time = 9 months = 3 year.
5 49 4
25 3 1
= 30. S.I. = Rs. [ 16800 x 4 x 4 x100 ] = Rs. 784.50.

85000 x 12 3 5
21) x B  = or x 32) Amount = Rs. (8000x(1+ 100 )2)
42500 x x 1
85000 x 12 21 21
= 42500 x 3 = 8. Rs. (8000x x )= Rs. 8820.
20 20
B  33) Let breadth = x metres.Then, length = (x + 20)
metres.
22) Let the required cost be x paise. Less weight, Less 5300
Perimeter = ( )m = 200 m.
26.50
2[(x + 20) + x] = 200 2x+20 = 100 2x =80 x=40.
cost (Direct Proportion)
Hence, length = x + 20 = 60 m.
250 : 200 : : 60 : x 10
34) (4x 5 ) m/sec = 9 m/s.
18
250 x x = (200 x 60) x=
(200x60)
x = 48.
(3 x 60) sec = 80 sec.
250 x= ( 10 x 180) m
9
= 200m.
23) (A + B + C) = ( 1 + 1 + 1 ) = 7 1  1
24 6 12 24 2 x = ( 2 x 200 x 200)m2
24 3
A, B,  C = 3  = 20000 m2
7 7
 35) Let the side of the square be x metres.
1
24) A 
20
B  Then, AB + BC = 2x metres.

 1 AC = 2 x = (1.41x) m
30
1 1 1 Saving on 2x metres = (0.59x)m.
(A + B) 
20 30 12
059x
Saving% = ( x 100)% = 30% (approx).
 2x
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Paper - 6
1)  10) A B 
1) 64 sq. m 2) 70 sq.m 
3) 78 sq. m 4) 84 sq.m 
1) 20 years 2) 30 years
2)  3) 45 years 4) None of these

1) 120 cm2, 52 cm 2) 120 cm2, 64 cm 11) (0.04)-15 = ?
3) 240 cm2 4) 240 cm2, 64 cm 1) 25 2) 125 3) 250 4) 625

3)   12) (17)3.5 x (17)? = 178

 1) 2.29 2) 2.75 3) 4.25 4) 4.5
1) 7.5 cm2 2) 7.75 cm2
13) 
3) 8.5 cm2 4) 8.75 cm2

4)  1) 50 2) 60 3) 300 4) 400
 14) 
1) 43.2 cm2 2) 44.2 cm2
four - fifith 
3) 45.2 cm2 4) 46.2 cm2
1) 70 2) 90 3) 120 4) 140
5)  15)  14
2 2
1) 154 cm 2) 168 cm
2
 
3) 308 cm 4) Data indequate 
5) None of these 1) 150 2) 200
6)  3) 300 4) Data inadequate
1) 22 m2 2) 77 m2 16) 
3) 154 m2 4) 308 m2 C.P.
5) None of these 1) Rs. 50 2) Rs. 160
3) Rs. 200 4) Rs. 225
7) (8 m x 6 m x 2.5 m) 
1) 120 litres 2) 1200 litres 17) 
3) 12000 litres 4) 120000 litres Fan C.P.
1) Rs. 480 2) Rs. 500
8) (10 cm x 4 cm x 3 cm)  3) Rs. 600 4) None of these
1) 84 sq.m 2) 124 sq.m
3) 164 sq.m 4) 180 sq.m 18)  
C.P.
9) A, B  1) Rs. 150 2) Rs. 200
A B  3) Rs. 250 4) Rs. 300
A  B  1
19)  
 2

1) 1 : 3 2) 2 : 1 3) 3 : 1
C.P. 
4) 4 : 1 5) None of these
1) Rs. 280 2) Rs. 300 3) Rs. 380 4) Rs. 400
 P  Q  R  2 30) 
20) Q  = R  = S  = 3  S.I.
P, Q, R, S P 1) Rs. 22.50 2) Rs. 27.30
1) Rs. 140 2) Rs. 160 3) Rs. 240 4) Rs. 320 3) Rs. 28.80 4) Rs. 29

21) Rs. A 31) S.I.

B  1
 S.I.
4
B  
1) Rs. 7500 2) Rs. 8000
1) Rs. 112.50 2) Rs. 125
3) Rs. 8500 4) Rs. 9000
3) Rs. 150 4) Rs. 167.50
22)  32) p.a.C.I.
 1) Rs. 9000.30 2) Rs. 9720
 3) Rs. 10123.20 4) Rs. 10483.20
1 1
1) 29 5 2) 37 4 5) None of these
3) 42 4) 54
33) 
23)  
 1) 1520 m2 2) 2420 m2
 3) 2480 m2 4) 2520 m2

1) Less than 6 days 2) Exactly 6 days 34)  

3) Approximately 6.4 days 4) More than 10 days 
1) 10% 2) 10.08% 3) 20% 4) 28%
24) 
 35) 
   
1) 4.5 hrs 2) 5 hrs 1) 10 2 cm 2) 40 cm
3) 6.5 hrs 4) 7.2 hrs 3) 40 2 cm 4) 200 cm

25) 
1) 25 m/sec 2) 1500 m/ min
3) 90 km / hr 4) None of these

26) 
kmph 
1) 3.6 2) 7.2 3) 8.4 4) 10

27) km/ ph m

 
1) 2.5 sec 2) 4.25 sec
3) 5 sec 4) 12.5 sec

28) kmph m

 
1) 15sec 2) 16sec 3) 18 sec 4) 20sec

29) 


1) 1 : 3 2) 2 : 3
3) 3 : 4 4) 4 : 5
 
1) 2 2) 1 3) 4 4) 4 5) 6 6) 2 7) 4 8) 3 9) 3 10) 4 11) 2 12) 4
13) 3 14) 4 15) 2 16) 3 17) 4 18) 4 19) 2 20) 2 21) 4 22) 3 23) 3 24) 4 25) 4
26) 2 27) 1 28) 2 29) 2 30) 2 31) 1 32) 3 33) 4 34) 4 35) 3
 

1) Perimeter of the rhombus = 56m. Each side of the

10) Let the ages of A and B 10 years ago be x and 2x
56
rhombus = m = 14 m.
4 years respectively.
Height of the rhombus = 5 m. x - 10 3
Then = 4(x + 10) = 3(2x + 10) 2x = 10
2x + 10 4
Area = (14 x 5) m2 = 70 m2.
x = 5.

2) Area = 1 d1d2 = ( 1 x 24 x 10) cm2 = 120 cm2 Sum of their present ages = (x + 10) + (2x + 10)
2 2
1 1 D C
OA = 2 d1 = ( 2 x 24) cm = 12 cm. = (3x + 20) = 35 years.
0
OB = 1 d2 = ( 1 x 10) cm = 5 cm. A B
2 2
11) (0.04)-1.5 = ( 4 )-1.5 = ( 1 )- 32= (25) 32 = (52) 32 =5(2x 32 )
100 25
AB2 = OA2 + OB2 = (12)2 + 52 = 169 AB = 13cm. = 53 = 125.

Permeter = (13 x 14) cm = 52 cm. 12) Let (17)3.5 x (17)x = 178. Then, (17)3.5 + x = (17)8.
3.5 + x = 8 x = (8 - 3.5) x = 4.5.
3) Area of the sector ( 1 x arc x R) = ( 1 x 3.5 x5) cm2
2 2
13) Let the number be x, Then,
= 8.75 cm2
75% of x + 75 = x x - 75 x = 75 x - 3 x = 75
100 4
4) Area of the sector = R 0 = ( 22 x 7 x 7 x 108 )cm2
2

2 7 360 x
= 75 x = 300.
4
= 46.2 cm2
14) Let the number be x,
36
5) R + 2R = 36 ( + 2) R = 36 R = ( 22 + 2)
Then, x - 35 = 80 x x - 80 x = 35 x = 35 x 100
7 100 100 20
cm = ( 36 x 7 ) cm = 7 cm. 4
36 = 175 x = 140.
5
x y
6) Area of the semicircle = 1 R2 = ( 1 x 22x 7 x 7)m2 15) Let the numbers be x and y. Then. =
12 12
x = 3y.
2 2 7
x-y 2y
= 77 m2 Requiredpercentage = ( y x 100)%=( x 100)%
y
= 200%.
7) Capacity of the tank = Volume of the tank
16) Let C.P. be Rs. x. Then, 5% of x = (350 - 340) = 10
= ( 8 x 100 x 6 x 100 x 2.5 x 100 ) litres x
1000
20 = 10 x = 200.
= 120000 litres.

17) Let C.P. be Rs. x. Then, 2% of x = (400 - 380) = 20

2
8) Surface area = [2 (10 x 4 + 4 x 3 + 10 x 3 )] cm x
50 = 20 x = 1000.
2 2
= (2 x 82) cm = 164 cm
10x
18) Let C.P. be Rs. x. Then, 105
x- 95 x = 15 =
100 100 50
9) Let the present ages of A and B be 5x and 3x years 15 x = 150.

respectively. 1
19) Let C.P. be Rs. x. Then, (106% fo x ) - (87 2 % of x)
5x - 4 1
Then = 5x - 4 = 3x + 4 2x = 8 x=4
3x + 4 1 = 51.80
Required ratio = (5x + 4) : (3x - 4) = 24 : 8 = 3 : 1. 1
18
2
% of x = 51.80 x= ( 51.80x100x2
37
) = 280.
20) P = 2x Q = 3x   27) Speed = = (144x 5 )m/sec = 40 m /sec.
18
Q 2 3 3 9x
= R= Q=( x 3x) = .
R 3 2 2 2 Time taken = ( 100 )sec = 2.5 sec.
40
R 2 3 9x
= S= R = ( 3 x ) = 27x.
S 3 2 2 2 2 5 35
9x
 P = 2x,P = 2x, Q = 3x, R = and S =27x . 28) Speed = = (63x 18 )m/sec = 2 m /sec.
2 2 2
P + Q + R + S = 1300 (2x + 3x 9x+ +27x) = 1300 Time taken = (280x 35 )sec = 16 sec.
2 2
(8x + 12x + 18x + 27x )
29) By the rule of alligation :
= 5200
Cost of 1 kg rice of 1st kind Cost of 1 kg rice of 2st kind
65x = 5200 x = 5200
65
720p 570 p
= 80.

P = Rs. (2 x 80) = Rs. 160.

Mean price
630 p

21) Let B's capital be Rs. x.

3500 x 12 2
Then = 14x = 126000 x =9000. 60 90
7x 3
Required ratio = 60 : 90 = 2 : 3.
22) 
 30) Time = (22 + 30 + 21) days = 73 days =
1
year.
5
x  S.I. = Rs. [ 1820 x 15 x 1 x
1
] = Rs. 27.30.
2 5 100

x 125 x x = 150x35
31) Gain in 2 yrs. = Rs.[(5000 x
25 2
x )-( 5000x4x2)]
4 100 100
x = 150x35 x = 42.
125 = Rs.(652 - 400) = Rs. 225.
 Gain in 1 year = Rs. ( 225 ) = Rs. 112.50.
2
1 1 1 47
23) 
15 20 25 300 12 2
32) Amount = Rs. (25000x(1+ ))
300

 100
47
Rs. (25000x 28 x 28 x 28 )
1 1 5 25 25 25
24) 
4 9 36
36 = Rs. 35123.20

5

C.I. = Rs. (35123.20 - 25000) = Rs. 10123.20.
18
25) 25 m/sec = (25x 5 ) km/hr = 90 km/hr.
33) We have : (l - b) = 23 and 2 (l + b) = 206 or (l + b)
And, 25 m/sec = (25 x 60) m/min = 1500 m/min.
= 103.
So, all the three speeds are equal.
Solving the two equations, we get : l = 63 and b = 40.
26) Speed = ( 600 ) m/sec = 2 m/sec = (2x 18 ) km/hr
5x60 5
Area = (l x b) = (63 x 40) m2 = 2520 m2.
= 7.2 km/hr.
34) xy 
80 90 18
 xy- (100xx y) = (xy -
100 25
xy)

7
= xy.
25

7 1
- ( 25 xy x
xy
x 100) % = 28%.

20
35) d = 2 x l l=
2

Perimeter = (4l) cm = ( 4x20 x 2 )cm = 40 2 cm.

2 2
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Paper - 7
1) mm mcm. 11) 49 x 49 x 49 x 49 = 7?
 1) 4 2) 7 3) 8 4) 16
1) 49 m2 2) 50 m2
12) The value of (8-25 - 8-26) is
2 2
3) 53.5 m 4) 55 m
1) 7 x 8-25 2) 7 x 8-26
2) m m  3) 8 x 8-26 4) None of these
cm 
13) A B 
1) 12 kg 2) 60 kg 3) 72 kg 4) 96 kg
 
3)  B 
 
1) 2 : 3 2) 4 : 9 1) 1440 2) 1800 3) 3600
3) 12 : 9 4) None of these
4) Data inadequate
4)   14)   
  
1) 1 : 3 2) 1 : 27 3) 3 : 1 4) 27 : 1

5)  th
June 1) 300 2) 500 3) 800 4) 1000
1) Monday 2) Tuesday
3) Wednesday 4) Thursday
15) 

6) Monday.  1) 672 2) 700
1) Wednesday 2) Saturday 3) 749 4) 848
3) Tuesday 4) Friday
1
16) 
2

7)  1
 
 1 2

2 
1) 1200 2) 1250 3) 1300 4) 1350
1) Rs. 850 2) Rs. 925
8)  3) Rs. 1080 4) Rs. 1125

1) 800 2) 750 3) 50 4) 1050
17) 

9) B A B, C  1) 51 : 52 2) 52 : 53 3) 51 : 53 4) 52 : 55
A, B, C B
 18)  
1) 7 2) 8 3) 9 
4) 10 5) 11  

10)  11
 1) Neither profit, nor loss 2) 1 25 % loss
 3) 1 11 % profit 4) 3 2 % loss
25 25
1) 14 years 2) 18 years 3) 20 years 4) 22 years
19)  28) m kmph 
   m  
 1) 40 sec 2) 42 sec
1) 0.25% loss 2) 0.25% gain 3) 45 sec 4) 48 sec
3) 2.5% loss 4) 25% loss
29)  
20)   per
 kg 
1) 20 litres 2) 30 litres 1) 3 : 1 2) 3 : 2
3) 40 litres 4) 60 litres 3) 4 : 3 4) 5 : 3

21) A,B   30) p.a. S.I. 

Rs. A B    
2

7
B  1) 3.5 years 2) 4 years
B  3) 4.5 years 4) 5 years
1) Rs. 10,500 2) Rs. 11,900
3) Rs. 12,800 4) Rs. 13,600 31) 

22)  1) 3% 2) 4% 3) 5% 4) 6%
 5) None of these

1 32) 1
 p.a.
1) 1 2) 40 4
C.I.
3) 40 4) 80
1) Rs. 2929 2) Rs. 3000
23)  3) Rs. 3131 4) Rs. 3636
 33) 
 
1
1) 6 2 days 2) 7 days 
1 
3) 7 days 4) 8 days
2
1) 46 2) 81
24)  3) 126 4) 252

   34) 
1) 3 hrs 15 min 2) 3 hrs 45 min

1) 40% 2) 42%
3) 4 hrs 4) 4 hrs 15 min
3) 44% 4) 46%
25) kmph   35) 
kmph   
1) 600 2) 750 
3) 1000 4) 1250 1) 80% 2) 88%
3) 110% 4) 120%
26)  
 
1) 50 sec 2) 52 sec
3) 54 sec 4) 56 sec

27) kmph  m 


1) 9.8 sec 2) 12.1 sec
3) 12.42 sec 4) 14.3 sec
 
1) 1 2) 2 3) 2 4) 3 5) 3 6) 2 7) 3 8) 2 9) 4 10) 4 11) 3 12) 2
13) 2 14) 2 15) 2 16) 4 17) 2 18) 2 19) 1 20) 4 21) 3 22) 3 23) 3 24) 2 25) 4
26) 4 27) 2 28) 1 29) 1 30) 2 31) 4 32) 1 33) 3 34) 3 35) 2
 

1) Area of the wet surface = [2 (lb + bh + lh) - lb]

8) 17
2
360
 12
17 
x
2
= 2 (bh + lh) + lb 
360
= [2 (4 x 1.25 + 6 x 1.25) + 6 x 4] m2 = 49 m2.  x 30
60
2) (3 x 2 x 0.01) m 3 
9) Let C's age be x years. The, B's age = 25 years. A's
= 0.06 m3
age = (2x + 2) years.
x 
(2x + 2) + 2x + x = 27 5x = 25 x = 5.

Hence, B's age = 2x = 10 years.
= (0.06 x 1000) kg = 60 kg.
10) Let the son's present age be x years. The, man's
3) Let their edges be a and b. Then,
present age = (x + 24) years.
a3 27 a 3 3 3 a 3
b3 = 1
( ) =( ) = a : b = 3 : 1.
b 1 b 1 (x + 24) + 2 = 2(x + 2) x + 26 = 2x + 4 x = 22.

4) Let their edges be a and b. Then,

11) 49 x 49 x 49 x 49 = (72 x 72 x 72 x 72) = 7(2+2+2+2) = 78.
a3 8 a 3 2 3 a 2 a2 = 4 So, the correct answer is 8.
= ( ) =( ) =
b3 27 b 3 b 3 b2 9
1 1 (8 - 1)
12) 8-25 - 8-26 = ( 825 - 826 ) = 826 = 7 x 8-26.
6a2 4
=
6b2 9
13) = [100 - (20 + 60%) = 20%.
5)  June 1998 =to
th

60% of x - 20% of x = 720 40% of x = 720


40 x = 720
 x = (720 x 100 ) = 1800.
100 40
(5 x 3) = 1
14) Let the maximum marks be x.

33
Then, 33% of x = 125 + 40 x = 165
(24 x 2 + 73 x 1) 100

 x = (165 x 100 ) = 500.

33
Jan Feb Mar Apirl May June
15) Let the total number of votes polled be x.

Then, votes polled by other candidate = (100 - 84) %

 of x = 16% of x.

Wednesday. 84% of x - 16% of x = 476 68 x = 476

100
6)  x = [ 476x 100 ] = 700.
Monday  68

Saturday  16) Let C.P. be rs. x. Then,

1 1
7)  (107 2 % of x) - (97 2% of x = 100 10% of
11 
 360 x 11 
3 12 3 x = 100 x = 1000.

Desired S.P. = 112 % of Rs. 1000 = Rs.
360 x 40

60 1
( 225 x x 1000) = Rs. 1125.
 2 100
17) Let C.P. of the article Rs. x. Then, Required ratio =
104% of x = 104 = 52 = 52 : 53. 25) Speed = (5 x 5 ) m/sec = 25 m/sec.
106% of x 106 53 18 18
25
Distance covered in 15 minutes = ( x 15 x 60) m
12 18
18) Loss% = ( Common Loss and Gain % )2% = ( )2 %
10 10
= 1250 m.
36 11
= %=1 %.
25 25
5
26) Speed = 9 km/hr = (9 x 18 ) m/sec = 5 m/sec.
19) Loss % = ( 5 )2% = (0.5)2% = 0.25%. 2
10
Distance = (35 x 4) m = 140 m.
20) (60 x 23 ) litres = 40 litres.
Time taken = (140 x 2 ) sec = 56 sec.
= (60 - 40) litres = 20 litres. 5

 5
27) Speed = (72 x ) m/sec = 20 m/sec.
x  (2040+x) 18

40 1 Total distance covered = (110 + 132)m = 242 m.

(20 +x) = 2 20 + x = 80 x = 60.
Required time = ( 242 ) sec = 12.1 sec.
 20
2x
21) Let the total profit be Rs. x. Then, B = and 5 25
7 28) Speed = (45 x 18 ) m/sec = 2 m/sec.
2x 5x
A =(x- 7 ) = Total distance covered = (360 + 140)m = 500 m.
7
5x 2x Required time = (500 x 2 ) sec = 40 sec.
So, A : B = 7 : 7 = 5 : 2, Let B's capital be Rs. y. 25

16000 x 8 5
Then, = y = ( 16000 x 8 x 2) = 12800. 29) By the rule of alligation :
y x4 2 5 x4
Cost of 1 kg tea of 1st kind Cost of 1 kg tea of 2st kind
22) 
 6200p 7200 p


 } : : 40 : x Mean price
6450 p
1 x 40 x x = 40 x 1 x 40 x = 40.

1 1 2 750 250
23) 
3 5 15
Required ratio = 750 : 250 = 3 : 1.
15 1

2 2

100 x 81
30) Time = ( 450 x 4.5 ) years = 4 years.
24) 
31) S.I = Rs. (15500 - 12500) = Rs. 3000.

Rate = ( 100 x 3000 ) % = 6%.
12500 x 4
(4x 16 )  2
3
32) Time = 2 73 years = 2 1 Years.
365 5
B = (1 - 12 ) = 1
2
1 25
2 : 1 ::1:x
[
Amount = Rs. 20480(1 + 25 )2 (1+ 5 x 4 ) ]
x = ( 1 x 1x 3 ) = 3 hrs 4 x 100 100
3 2 2 2 4
= Rs. (20480 x 17 x 17 x 81 ) = Rs. 23409.
i.e.,45 mins.
16 16 80
 C.I. = Rs. (23409 - 20480) = Rs. 2929.
33) Clearly, we have : l = 9 and l + 2b = 37 or b = 14.

Area = (l x b) = (9 x 14) sq. ft. = 126 sq. ft.

34) = x m;= y m 

 = (xy) m . 2

= ( 120
100
x)m = (
6
5
x)m;

6
= ( 120 x)m = ( y)m
100 5

( 65 xx 65 y)m = (2 36
25
xy)m2

( 11 xy x 1 x100)% = 44%.

25 xy

35) New area = ( 80 a x 110b) = ( 4 x 11ab) = ( 22ab)

100 100 5 10 25
22 1
Required percentage = ( ab x x100)%= 88%.
25 ab
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Paper - 8
1)  12) (18)3.5  (27)3.5 x 63.5 =2? :
1) 700 2) 800 3) 1200 4) 2000 1) 3.5 2) 4.5 3) 6 4) 7

2) 'APPLE'  5) None of these

1) 720 2) 120 3) 60 4) 180

13)  
5) None of these

3) 'LEADER'  
1) 72 2) 144 3) 360 4) 720  
5) None of these 1) 2700 2) 2900 3) 3000 4) 3100

4)  14) 

1) 1035 2) 1280 3) 2070 4) 2140 

5)  1) 2382 2) 2450
1) 6 2) 128 3) 240 4) 512
3) 2518 4) none of these
6)  15) 
1) 0 2) 1 3) 2 4) 2
 
7)   
1) 33 2) 81 3) 93 4) 97  
1) 25000 2) 33000
8)  3) 35000 4) 40000

1) 4 2) 3 3) 2 4) 1
16) 
  
9)  
 1) 0.25% loss 2) 0.25% gain
3) 2.5% loss 4) 25% loss

1) 54 2) 72 3) 105 4)2 108 17) 
5 
10)   
 
1) 16 2 % 2) 18 2 %
 3 9
3) 25% 4) None of these
1) 32 years 2) 36 years
3) 40 years 4) 48 years 18) 
 
1 4
11) (64)- 2 - (-32)- 5 = ? 
1 3 1 3 1) no loss , no gain 2) loss of Rs. 1 lakh
1) 8 2) 8 3) 16 4) 16 12
1
3) loss of Rs. 18 lakh 4) gain of Rs. 1 lakh
5) None of these 24
19)  27) m kmph 
 
 1) 130 2) 360
  3) 500 4) 540

1) Rs. 10.04 2) Rs. 10.875
28) kmphm
3) Rs. 12.80 4) Rs. 12.875

1) 230 m 2) 240 m
20) A, B  C  3) 260 m 4) 270 m

B 29) 
1) Rs. 605 2) Rs. 790

1) 1 : 2 2) 2 : 1
3) Rs. 800 4) Rs. 810
3) 2 : 3 4) 3 : 2
21) P,Q 
Q R 30) S.I. 
  
Rs. R  1) 6% 2) 6 1 %
4
1) Rs. 1,05,000 2) Rs. 1,75,000
3) 6 1 % 3
4) 6 %
3) Rs. 2,10,000 4) Data inadequte 2 4
5) None of these 31) 

22)  
  1) 3.6 2) 6
 
3) 18 4) Cannot be determined
1) 4 2) 5 3) 6 4) 8
5) None of these
23)  A B 32) 
 C C.I. 
C  
 1) Rs. 565.25 2) Rs. 635
1 3) Rs. 635 4) Rs. 666.50
1) 9 days 2) 9 2 days
5 5
3
3) 9 days 4) 10 days
33) 
5 
24) A, B, C  
 1) 2400 sq.cm 2) 2480 sq. cm
 3) 2560 sq. cm 4) data indequate
1) 2 2) 2.5 3) 3 4) 3.5 5) None of these

25) kmph  34)  

 
1) 45 metres 2) 55 metres 1) 15 metres 2) 26 metres
3) 450 metres 4) Cannot be determined 3) 26 metres 4) Cannot be determined
5) None of these 5) None of these

1 
26) 
2
 35)
  
  
1) 2 : 3 2) 3 : 4 1) 34 2) 40
3) 4 : 5 4) 8 : 9 3) 68 4) 88
 
1) 1 2) 3 3) 3 4) 1 5) 3 6) 3 7) 4 8) 3 9) 4 10) 3 11) 3 12) 4
13) 1 14) 3 15) 1 16) 1 17) 1 18) 2 19) 2 20) 4 21) 3 22) 4 23) 3 24) 3 25) 3
26) 3 27) 3 28) 4 29) 1 30) 4 31) 2 32) 3 33) 3 34) 5 35) 4
 

1) leap  10) Let the mother's present age be x years. Then, the
 person's present age = ( 2 x) years.
5
2) 'APPLE' A-1, P-2, L-1, E-1 ( 2 x + 8) = 12 (x + 8) 2(2x + 40) = 5(x + 8)
5
5 x = 40.

(1 ) (2 ) (1 ) (1  )
1 4 1 4 (-1) (-4)
11) (64)- 2 - (-32)- 5 = (82)- 2 - {(-2)5} - 5 = 82x 5 -(-2)5x 5

3) 'LEADER' L-1, E-2, A-1, D-1, R-1

= 8-1 - (-2)-4
6
 (1 ) (2 ) (1 ) (1  ) (2  ) =
1
-
1
=(
1
-
1 1
) = 16
8 (-2)4 8 16

12) (18)3.5  (27) 3.5
x 63.5 = 2x
4) Sn = (1 + 2 + 3 + ... + 45). A.P. a = 1, d = 1,
1 1
(18)3.5 x (27)3.5 x 63.5 = 2x (32 x2)3.5 x
n = 45. (33)3.5
x (2x3)3.5 = 2x
Sn = n [2a + (n - 1)d] = 45 x [2 x 1 + (45 - 1) x 1]
2 2
1
3(2x3.5) x 23.5 x(3x 3.5) x 23.5 x 33.5 = 2x
= ( 45 x 46) = (45 x 23) 3
2 1
37 x 23.5 x 310.5 x 23.5 x 33.5 = 2x 27 = 2x
= 45 x (20 + 3) = (45 x 20 + 45 x 3) = (900 + 135)
x = 7.
= 1035.

5) Sn = (2 + 4 + 6 + ... + 30) A.P. a = 2, 13) Number of valid votes = 80% of 7500 = 6000.

d = 2, l = 30 n  Valid votes polled by other candidate = 45% of 6000

a + (n - 1) d = 30 2 + (n - 1) x 2 = 30 n = 15.
= [ 45 x 6000) = 2700.
100
Sn = n (a + l) =15 x (2 + 30) = (15 x 16) = 240.
2 2

6)  14) Let the number of valid votes be x.

Then. 52% of x - 48% of x = 98 4% of x = 98

7) 
4 x = 98 x = 98 x 25 = 2450.
100
8) 6) 4456 (742

42
15)  x. 
25
24  of x.
16 90% of (90% of x).
12
54% of [90% of x)] - 46% of [90% of (90% of x)]
4
= 1620
9) Let the present ages of the father and son be 2x
8% of [90% of (90% of x)] = 1620
and x yeras respectively.
8 90 90
Then, (2x - 18) = 3 (x - 18) x = 36. x x x x = 1620
100 100 100
1620x100x100x100
Required sum = (2x + x) = 3x = 108 years. x={ 8x90x90 } = 25000.
16) Loss % = ( 5 )2% = (0.5)2% = 0.25%. 22) x 
10

17) S.P. = Rs.8000 C.P.= Rs.8000. 

S.P. = Rs.4000;  

C.P.= Rs.( 100 

125 x 4000) = Rs. 3200. } : : 12 : x
C.P.= Rs. (8000 - 3200) = Rs. 4800. 
10 x 8 x 12
8 x 15 x x = 10 x 8 x 12 x= x = 8.
S.P. = Rs.4000 8 x 15

800 2
= ( 4800 x 100)% = 16
3
%.
23) (A + B + C) 1 A  1

4 16
18) Total S.P. = Rs. 2 lakh. 1
B  12
C.P. of house = Rs. ( 100 x 1) lakh = Rs. 5 lakh.
80 4 5
C  1 - ( 1 + 1 ) = ( 1 - 7 ) = 48
C.P. of shop = Rs. ( 100 x 1) lakh = Rs. 5 lakh. 4 16 12 4 48
120 6
48 3
Total C.P. = Rs. ( 5 + 5 ) lakh = Rs. 25 lakh. C 

12 5 5
4 6
Loss = Rs. ( 25 - 2) lakh = Rs. 1 lakh.
12 12 1 1 1
24) (A + B + C) 
5 10 30
19) Total C.P. = Rs. (120 x110) = Rs. 13200. 1

3
Total S.P = Rs.[(30 x 110 + 30 x 12) + (75 x 110 + 75

x 14) + (15 x 110 - 15 x 7)] = Rs. 14505.

14505-13200 25) Speed = 108 kmph = (108 x 5 ) m/sec = 30 m/sec.

Average profit = Rs. (
120
) = Rs. 1305 18
120
Distance covered in 15 sec. = (30 x 15) m = 450m.
= Rs. 10.875

20) [2400 - (5 + 10 + 15)] 26) Ratio of speeds = (300 x 2 ) : ( 450 ) = 40: 50 = 4 : 5.

15 9

B[(2400 x 4 ) + 10] 

12 27) Speed = (78 x 5 ) m/sec = ( 65 ) m/sec.
18 3
21) Rs. z  Time = 1 minute = 60 sec.

of x = 98000 x = (98000 x 100 ) = 480000. Let the length of the tunnel be x metres.
20

P, Q, R Rs. 5x, Rs. 6x, Rs. 6x  Then, 800 + x = 65 3(800 + x) = 3900
60 3

 x = 500

(5x x12) + (6x x 12) + (6x x 6) = 490000 x 12

28) Speed = (72 x 5 ) m/sec = 20 m/sec; Time = 26 sec.
18
168x = 490000 x 12 x = (490000 x 12 ) = 35000.
168
Let the length of the train be x metres.
R's investment = 6x = Rs. (6 x 35000)
x + 250
Then, = 20 x + 250 = 520 x = 270.
= Rs. 210000. 26
29) By the rule of alligation :

C.P. of 1 litre of water C.P. of 1 litre of milk

0 Rs. 12

Mean price
Rs. 8

4 8

Ratio of water to milk = 4 : 8 = 1 : 2.

1 7
30) Time = 2 years 4 months = 2 3 years = 3 years.

Rate = ( 100x 252x3 )% = 6 3 %

1600x7 4

31) Let rate = R% and time = R years. Then,

( 1200 x R x R ) = 432 12R2 = 432 R2 = 36

100
R=6

5 3 5
32) Amount = Rs. [200(1 + ) + 200 (1 +100 )2 + 200
100
5
(1 + )]
100
21 21 21
= Rs. (200x 20 x 20 x 20 + 200 x 21 x 21 +200 x 21 ]
20 20 20
= Rs. [200 x 21 ( 21 x 21 + 21 + 1)]
20 20 20 20
= Rs. 662.02.

33) = x ( 160

100
x) cm = 8 xcm.
5
8 3
So, x- x = 24 x = 24 x = (24 x 5 ) = 40.
5 5 3
= 64 cm, = 40 cm.
= (64 x 40) cm 2
= 2560 cm2

34) Let breadth = x metres. Then, length = (115 x) metres

100
xx 115 x = 460 x2 = ( 460 x100 ) = 400
100 115
x= 20.

35) We have : l = 20 ft and lb = 680 sq. ft. So, b = 34 ft.

Length of fencing = (l + 2b) = (20 + 68) ft = 88 ft.

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Paper - 9
1) H.C.F 12 9) 
 
1) 4, 8, 12 2) 5, 10, 15

3) 1, 20, 30 4) 12, 24, 36

2) H.C.F L.C.M. 1) 1 : 2 2) 1 : 5 3) 3 : 8
1) 12 2) 16 4) None of these
3) 24 4) 48
10) 
3)  L.C.M. 
 
1) 28 2) 32 1) 5 : 2 2) 7 : 3 3) 9 : 2 4) 13 : 4
3) 40 4) 64
11) If 2n = 64, then the value of n is :
4)  1) 2 2) 4 3) 6 4) 12

12) If ( 3)5 x 92 = 3n x 3 3, then the value of n is :
 
1) 2 2) 3 3) 4 4) 5
1) 1  2) 7 
3) 31  4) 41  13) 
5)  
 
1) 4 2) 7 
3) 9 4) 13 1) 4.2 2) 6.4 3) 6.8 4) 8

6)  14) A 

1) 10010 2) 10015 B 
3) 10020 4) 10080 A 

7) 


1) 10,000 2) 45,000
1) 504 2) 536
3) 60,000 4) 72,000
3) 544 4) 548
15) Tailors X, Y 
8) 
 Y X 
   Y 
1) Rs. 200 2) Rs. 250
1) 4 2) 10
3) Rs. 300 4) None of these
3) 15 4) 16
16)  24) A, B 
  C 
  
  
13 8
1) Rs. 7.40 2) Rs. 7.60 1) 1 17 hours 2) 2 11 hours
3) Rs. 7.80 4) Rs. 8
3) 3 9 hours 4) 4 1 hours
17 2
17)  25) 
 
  1) 3 : 4 2) 4 : 3
1) 7.68 2) 15 3) 16 4) 19.2
3) 3 : 5 4) 50 : 3
3 
18) 
4 26)  
 
 

1) 70 km/hr 2) 75 km/hr
1
1) a loss of 5% 2) a gain of 5 2 % 3) 84 km/hr 4) 87.5 km/hr
1 5
3) a loss of 5 % 4) a loss of 5 % 27) m kmph 
19 19
2 
19) 
3

1) 130 2) 360
 
3) 500 4) 540

1) 12% 2) 17% 28) kmphm
3) 18% 4) 20% 
1) 230 m 2) 240 m
20)   
 3) 260 m 4) 270 m

 29) I  per kgII per kg

 
 
 1) Rs. 18 2) Rs. 18.50
 3) Rs. 19 4) Rs. 19.50
1) Rs. 1560 2) Rs. 1680
3) Rs. 1840 4) Rs. 1950 30) p.a. S.I.
 
21) 


1) Rs. 2000 2) Rs. 10,000

3) Rs. 15,000 4) Rs. 20,000
1) 5 : 7 : 8 2) 28 : 49 : 64
3) 38 : 28 : 21 4) None of these 31) 5% p.a. S.I. 

22)  

1) Rs. 112 2) Rs. 118.80
 
3) Rs. 120 4) Rs. 122

 32) Sam 
1) 6 2) 10 3) 12 4) 15 C.I. 
23) B A  
B  1) Rs. 16,500 2) Rs. 16,525,50
 3) Rs. 16,537,50 4) Rs. 18,150
1) 4 days 2) 6 days 5) None of these
3) 8 days 4) 12 days
33) The value of log 343 7 is :

1) 1 2) -3
3
1
3) - 4) 3
3

34) 

1) 15 10cm 2) 16 10 cm
3) 24 10 cm 4) 64 cm

35) 

1) 3 : 1 2) 3:1
3) 3:1 4) 2 2 : 1
 
1) 4 2) 4 3) 3 4) 3 5) 1 6) 4 7) 4 8) 4 9) 4 10) 2 11) 4 12) 4
13) 3 14) 3 15) 2 16) 2 17) 3 18) 1 19) 3 20) 2 21) 4 22) 1 23) 2 24) 3 25) 1
26) 1 27) 3 28) 4 29) 1 30) 3 31) 3 32) 3 33) 1 34) 4 35) 4
 

1) x, 2x, 3x  1 n

n
2
11) 2 = 64
n
(2 )2 = 26
n
2 = 26 2 =6 n = 12.
H.C.F. = x x = 12

12, 24, 36. 1 1

12) ( 3)5 x 92 = 3n x 3 3 (3 2)2 x (32)2 = 3n x 3 x 3 2
1 5 3
2) 3x, 4x, H.C.F. = x 3( 2 x 5)
x 3(2x2) = 3(n + 1 +
1
2) 3( 2 +4) =3(n + 2 )

x = 4. 3 13 13 3
n+ 2 =2 n2= ( 2- ) = 10 = 5.
L.C.M.

3) 2x, 3x  13) x. 

L.C.M. = 6x 6x = 48x = 8.   of x.
 
4) Required measurement = (H.C.F. of 496, 4033, 713) ofof x
8 85 68
litres = 31 litres. =( 100x
x x) = 1000 x.
100
68x 1
5) Required number = H.C.F. of (91 - 43), (183 - 91) = ( 1000 x x x 100)% = 6.8%
and (183 - 43) = H.C.F. of 48, 92 and 140 = 4.
14) 
6) L.C.M.
 A    of x.

 B ofof x
 60 70
=( 100 x 100 x 100 )% of x = 42% of x.

7) Required number = (L. C. M of 12, 15, 20, 54) + 8 = [100 - (30 + 42)]% of x = 28% of x.
= 540 + 8 = 548. 30% of x - 28% of x = 1200 2% of x = 1200

L.C.M  1200x100

8) x=( ) = 60000.
2

 15) Y Rs. z.
9) T = x G = 8x 
z + 120% of z = 550
T = (x + 16 + 8) G 120 11
z + 100 z = 550 5 z = 550
= (8x + 16 + 8) 
550 x 5
z=( 11 ) = 250.
8x + 24 = 3 (x + 24) 5x = 48.

48
T x+8 +8 88 11 Rs. (42 x 18) = Rs. 756.
G = 8x +8 = 85x48 =
+8 424 53
= 16)
5
10) Let the ages of father and son 10 years ago be 3x Rs. (460 + 144) = Rs. 604.
and x years respectively.
Rs. (756 - 604) = Rs. 152.
Then, (3x + 10) + 10 = 2[(x + 10) + 10] 3x + 20 =
2x + 40 x = 20. Rs. ( 152
20
) = Rs. 7.60.
Required ratio = (3x + 10) : (x + 10) = 70 : 30 = 7 : 3.
17) C.P. of 20 dozen = Rs. (48 x 20) = Rs. 960. 7
14x 5
Now, = 70x = 40y y= 4 x
8y 7
C.P. of 8 dozen = Rs. (48 x 8) = Rs. 384.
And, 14x = 5 112x = 35z z = 112 x = 16x
7y 8 35 5
C.P. of 12 dozen = Rs. (960 - 384) = Rs. 576. x : y : z = x7: x16
: x = 20 : 35 : 64.
4 5
110 120
Total S.P. = Rs. ( x 384 + x 576)
100 100 22) x 
= Rs. 1113.60.

Profit % (153.60 x 100)% = 16%. 
960

3
th = Rs. (
3 1
x 400) = Rs. 300. C.P. of th
}x
18) C.P. of
4 4 4 
10x 18x6
= Rs. 100. x x =
15x12
x = 6.
Total S.P. = (90% of Rs. 300 + 110% of Rs. 100)
23) A, B C x, x
= Rs. 380. 2

x 
3
Loss = ( 20 x 100)% = 5%. 1 2 3 1 6 1
400 ( x+ x + x)=
2 x = 2 x = 12.
1 2x
19) Let C.P. of whole be Rs. x C.P. of 2 = Rs. 3 C.P. of B 
1
rd = Rs. 1 1 1 17
3 24) 
5 6 12 60
x
Total S.P. = Rs. [(120% of 2x ) + (114% of 3 )] =
3 60 9 
hrs i.e., 
4x 19x 59x 17 17
Rs. ( + ) = Rs. 50
5 50 550 18 33
Gain = Rs. ( 59x - x) = Rs. 25) Ratio of speeds = ( 60 x 5 ) : ( 45 x 60) = 33 : 44
50
9x 1 = 3 : 4.
Gain % ( x x x 100)% = 18%.
50
26) Let the speeds of two train be 7x and 8x km/hr.
20) xy 
Then, 8x = 400 = 100 x = ( 100 ) = 12.5
4 8
540y + x = 1800 ....(i)  620y + x = 2040
Speed of first train = (7 x 12.5) km/hr
....(ii)
= 87.5 km/hr
(ii) - (i) 80y = 240 y = 3.
27) Speed = (78 x 5 ) m/sec = ( 65 ) m/sec.
18 3
(i)y = 3 540 x 3 + x = 1800
Time = 1 minute = 60 sec.
x = (1800 - 1620) = 180.
Let the length of the tunnel be x metres.

65
Then, 800 + x = 3(800 + x) = 3900
  60 3

x = 500


21) Let their investments be Rs. x for 14 months; Rs. y for 28) Speed = (72 x 5 ) m/sec = 20 m/sec; Time = 26 sec.
18

8 months and Rs. z for 7 months respectively. Let the length of the train be x metres.

Then, 14x : 8y : 7z = 5 : 7 : 8. x + 250

Then, = 20 x + 250 = 520 x = 270.
26
29) C.P. Rs. x per kg 

C.P. per kg C.P. per kg

Rs. 15 Rs. 20

Mean price
Rs. x

(20 - x) (x - 15)

(20-x) 2
= 60 - 3x = 2x - 30 5x = 90 x = 18.
(x-15) 3



30) Principal = Rs. ( 100x5400 ) = Rs. 15000.

12x3

31) Let the present worth be Rs. x then,S.I. = Rs. (132-x)

( x x 5x2) = 132 - x 10x = 13200 - 100x 110x

100

= 13200 x = 120.

32) P = Rs. 15000; R = 10% p.a. = 5% per half-year; T=1

year = 2 half-years.
5 2
Amount = Rs.[15000x(1+ )]
100
= Rs. (15000x 21 x 21 ) = Rs. 16537.50.
20 20
33) Let log 343 7 = n. The, (343)n = 7 (73)n = 7 3n = 1
n= 1
3
1
log 343 7 = .
3
34) Let breadth = x cm. Then, length = 3x cm.
x2 + (3x)2 = (8 10)2 10x2 = 640 x2 = 64 x =8
So, lenght = 24 cm and breadth = 8 cm.
Perimeter = [2(24+8)] cm = 64 cm.
2 2
35) l2 + b2 l2 + b2 = 9b2 l2 = 8b2 l2 = 8 l2 = 8
b b
=2 2
 HARSHITH INSTITUTE
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Free Online Exams: www.99vidya.com

Paper - 10
1) 0.002 x 0.5 = ? 1
11) If x = 3 + 2 2, then the value of ( x - x ) is :
1) 0.0001 2) 0.001 3) 0.01 4) 0.1
1) 1 2) 2 3) 2 2 4) 3 3
3
2) 37 16  1 1
12) If 2x + 85 = 25 , Then x is equal to :
1 4 15
1) 1 2) 3)
8 3 16 1) 1 2) - 1 3) 2 4) - 2
5 5 5 5
4) None of these
13) Rs. 
1 1 1 1
3) The value of (1+
2
) (1+
3
)(1+
4
) .......(1+ ) is:
120 Rs.
1) 30 2) 40.5 3) 60.5 4) 121 

4)  
 1) 8%
13
2) 8 17%
1) 22 2) 23 15 1
3) 817 % 4) 8 2 %
3) 24 4) 26

14) test
5) The value of 10 + 25 + 108 + 154 + 225 is :
 
1) 4 2) 6 3) 8 4) 10
aggregate 
6) 176 + 2401 is equal to :

1) 64 2) 68
1) 14 2) 15 3) 18 4) 24
3) 70 4) None of these
7) 0.00004761 equals :

1) 0.00069 2) 0.0069 3) 0.0609 4) 0.069 15) 


? 54
8)
169
=
39

2
1) 108 2) 324 3) 2916 4) 4800 1) 58% 2) 62 %
3
3) 64% 4) 78%
9) 
 16)  X X, 

1) 12 years 2) 14 years 3) 18 years 4) 20 years X Y 

10) A, B B, C 
A C  1) X loses Rs. 1350

1) 12 2) 24 2) X gains Rs. 3150

3) C is elder than A 4) Data inadequate
3) X loses Rs. 4350
5) None of these
4) X gains Rs. 4350
17)  24)  
C.P.: 
1) Rs. 72 2) Rs. 80 
3) Rs. 90 4) Rs. 100 

13
18) 
15
Rahul  1) 90 min 2) 100 min

3) 110 min 4) 120 min

3 25) 
1) 20% 2) 29 13 %

3) 30% 4) 38 1 % 
13
1) 2197 ft 2) 2420 ft
19) 
3) 2500 ft 4) 2629 ft

26) 
 
1) no profit, no loss 
2) 20% profit 
3) less than 20% profit 1) 6 hrs 21 min 2) 6 hrs 24 min

4) more than 20% profit 3) 6 hrs 27 min 4) 6 hrs 30 min

20)  27) kmph


 

 1) 500 2) 600
 3) 750 4) 900
 28) m
1) 4 : 1 2) 151 : 48 kmph 
3) 157 : 53 4) 5 : 2 1) 13.33 2) 26.67

21) A, B  3) 40 4) 66.67

A  29)  kg 


Rs.

1) Rs. 1425 2) Rs. 1500

3) Rs. 15.7.50 4) Rs. 1576 1) 3 : 2 2) 3 : 4
22)  3) 3 : 5 4) 4 : 5
 30) p.a.
 S.I. 

1) 12 2) 15 3) 18 4) 21 1) Rs. 4462.50 2) Rs. 8032.50

3) Rs. 8900 4) Rs. 8925
23) A B B
5) None of these
C C A 
31) x x%p.a.Rs.x S.I. 
 

5 1) Rs. x 2) Rs. ( 100 )
1) 5 days 2) 7 6 days x
3) Rs. 100x 4) Rs.( 100 )
3) 10 days 4) 15 2 days x2
3
32)   C.I.



1) Rs. 120 2) Rs. 121
3) Rs. 122 4) Rs. 123
33) The value of log2 16 is :

1) 1 2) 4
8
3) 8 4) 16
34) 
 

1) 55 2) 56

3) 57 4) 58
35) 


1) 18000 2) 20000

3) 25000 4) None of these

 
1) 2 2) 4 3) 3 4) 4 5) 1 6) 2 7) 2 8) 2 9) 4 10) 1 11) 2 12) 4
13) 3 14) 1 15) 2 16) 2 17) 2 18) 2 19) 4 20) 3 21) 2 22) 2 23) 3 24) 2 25) 3
26) 1 27) 3 28) 3 29) 1 30) 4 31) 2 32) 2 33) 2 34) 2 35) 2
 
1) 2 x 5 = 10. Sum of decimal places = 4.
1 1 1
0.002 x 0.5 = 0.0010 = 0.001. 11) ( x - )2 = x + - 2 = (3 + 2) + -2
x x (3 + 2 2)
1 (3 - 2 2)
19 16 192-162 = (3 + 2 2) + (3 + 2 2) x -2
2) Required difference = - = (3 - 2 2)
16 19 304
(19 + 16) (19 - 16) = (3 + 2 2) + (3 - 2 2) - 2 = 4.
= = 35 x3 = 105
304 304 304
1
( x - x ) = 2.
3 4 5 121 121
3) Given exp. = x x x .......x =
2 3 4 120 2
1 1 1 1 3 1 1
12) 2x x 85 = 25 2x x (23)5 = 2 5 2x x 25 = 25 2(x+5 ) = 2 5
3

= 60.5.
3 1 1 3 -2
4) Let the number of hens be x and the number of cows x+ = x=( - )=
5 5 5 5 5

be y. Then, 13) of Rs. 400 + 9% of

x + y = 48 ....(i) and 2x + 4y = 140 x +2y =70
Rs. 6400
......(ii) 7 9
= Rs. ( 100 x 400 + 100 x 6400) = Rs. (28+576) =
Solving (i) and (ii), we get : x = 26, y = 22.
Rs. 604.

5) Given exp. = 10 + 25 + 108 + 154 + 15 Rs. (400 + 6400) = Rs. 6800.

604
= 10 + 25 + 108 + 169 ( 6800 x 100)% = 8 15 %.
17
= 10 + 25 + 108 + 13 = 10 + 25 + 121
14) Total marks secured = (90% of 100 + 60% of 150 +
= 10 + 25 + 11 = 10 + 36 = 10 +6
= 16 = 4. 54% of 200)

= ( 90 x 100 + 60 x 150 + 54 x 200) = (90 + 90 +

6) Given exp. = 176 + 49 = 225 = 15. 4 2401 (49 100 100 100
16
108) = 288.
89 801
801 Total maximum marks = (100 + 150 + 200) = 450.
x
Aggregate percentage = ( 288 x 100)% = 64%
4761 4761 69 69 450
7) 0.00004761 = = 108 = 104 = 10000
108
15) Total number of students = 1100 + 700 = 1800.
= 0.0069.

x 54 x 54 54 Number of students passed = (42% of 1100 + 30% of

8) Let = . Then, = x =( x 13)
169 39 13 39 39
700) = (462 + 210) = 672.
=18 x = (18)2 = 324.
Number of failures = 1800 - 672 = 1128.

9) Let the present ages of son and father be x and Percentage failure = ( 1128 x 100) = 62 %.
1800
(60 - x) years respectively.

Then, (60 - x) - 6 = 5 (x - 6) 54 - x = 5x - 30 16) X = Rs. 150000.

6x = 84 x = 14. X = 105% of Rs. 150000=Rs.157500.

Son's age after 6 years = (x + 6) = 20 years. X C.P. = 98% of Rs. 157500 = Rs. 154350.

10) (A + B) - (B + C) = 12 A - C = 12. X = Rs. (157500 - 154350) = Rs. 3150.

 21) Rs. 100 
17) Let C.P. = Rs. x, Profit% = x % and S.P. = Rs. 144.
100 2
A = Rs. (95 x 35 ) = Rs.57
x = [(100 +x) x 144] x + 100x =14400
x2 + 100x - 14400 = 0 A Rs. 57, = Rs. 100.

x2 + 180x - 80x - 14400 = 0 (x + 180) (x-80) = 0

A Rs. 855, ( 100 x 855)
57
x = 80.
= 1500.

28
18) Let S.P. be Rs. x. Then, C.P. = Rs.13 x, Receipt = 22) x 
15 25
112% of Rs. x = Rs.x. 9

5 
Gain = Rs. ( 28x - 13x ) = Rs. 19x 27
25 15 75 

3 5
Gain% = ( 19x x 15x x 100)% = 380 % = 29 %
75 13x 13 13 27


5
57


19) Let the article be worth Rs. x. 5
9x 
C.P = 90% of Rs x = Rs. ; S.P. = 110% of Rs. x =
10
Rs. 11x 57
 57 x
x
10 5 5
11x 9x x
Gain = Rs. ( - 10 ) = Rs. 5 5
10 x
57
x 10 2
Gain% = ( 5 x 9x x 100)% = 22 9 %>20%.
23) (A + B) 1 (B + C)  1
12 15
20) 3x , 4x, 5x litres (A + C) 
1
20
 1 1 1
2 (A + B + C) = (12 + + 20 ) = 12
15 60
= (3x + 45 ) litres = 12x
5
litres. = 1
5
= (3x +12x
5
) litres = 3x litres. 1
(A + B + C) = 10
5
3
= (4x + 4
) litres = 3x litres. A, B C 
= (4x - 3x) litres = x litres.
24) B
25x
= (5x + 57 ) litres = 7 litres. 1 1 1 1
3
 1
50 60 75 50 100 100
10x
= (5x - 25x
7 ) litres = 7 litres. 
= ( 3x
5
+ 3x +25x ) litres = 314x
7 35 
litres.
25) 
10x 106x
( 3x
5
+ x + 7 ) litres = 35 litres.
mkm
106x
= 314x
35
:
35
= 157 : 53.
km/hr
26) = ( 600
100
) hrs = 6 hrs. 33) Let log2 16 = n. Then, 2n = 16 = 24 n = 4.

= 600
75
- 1 = 7. log2 16 = n.

= (3 x 7) min = 21 min. 34) Permeter of the plot = 2 (90 + 50) = 280 m.

= 6 hrs 21 min. Number of poles = ( 280 ) = 56 m.

5

35)


27) Speed = (90x 5 ) m/sec = 25 m/sec; Time = 1 min. = 
18


60 sec. 
Let the length of the train and that of the platform be

x metres.
25 x 60
Then, 2x = 25 x= 2 = 750.
60

28) Speed = ( 150 +300 ) m/sec = ( 450 x 18 ) km/hr

40.5 40.5 5
= 40 km/hr

29) S.P. 1 kg = Rs. 68.20, 

S.P. 1 kg = Rs. 68.20, 
By the rule of alligation, we have :

Cost of 1 kg tea of 1st kind Cost of 1 kg tea of 2nd kind

Rs. 60 Rs. 65

Mean price
Rs. 62

3 2

Required ratio = 3 : 2.

30) Principal = Rs. ( 100x4016.25 ) = Rs. ( 401625 )

9x5 45
= Rs. 8925.

100
31) Sum = ( 100xS.I ) = Rs. ( 100x x ) = Rs. ( )
RxT xx x x
5 5
32) Amount = Rs. [1600x(1+ 2x100)2 + 1600 x (1+ 2x100 )]
41 41 41
= Rs. [1600 x 40 x 40 + 1600 x 40 ]

= Rs. [1600 x 41 ( 41 + 1)] = Rs. ( 1600x41x81 )

40 40 40x40
= Rs. 3321.

C.I. = Rs. (3321 - 3200) = Rs. 121.