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Surds & Indices - SBI Clerk

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1. (17)3.5 x (17)?

= 178

A.

2.29

B.

2.75

C.

4.25

D.

4.5

2.

a x-1

If

b
A.

C.

3.

4.

5.

6.

b x-3
a

, then the value of x is:

1
2
2

B.

D.

1
7
2

Given that 100.48 = x, 100.70 = y and xz = y2, then the value of z is close to:
A.

1.45

B.

1.88

C.

2.9

D.

3.7

If 5a = 3125, then the value of 5(a - 3) is:


A.

25

B.

125

C.

625

D.

1625

If 3(x - y) = 27 and 3(x + y) = 243, then x is equal to:


A.

B.

C.

D.

B.

16

(256)0.16 x (256)0.09 = ?
A.

C.

64

D.

256.25

The value of [(10)150 (10)146]


A.

1000

B.

10000

C.

100000

D.

106

8.

1
1+

x(b - a)

x(c - a)

1+

x(a - b)

x(c - b)

1
1+

x(b - c)

+ x(a - c)

=?

A.

B.

C.

xa - b - c

D.

None of these

9. (25)7.5 x (5)2.5 (125)1.5 = 5?


A.

8.5

B.

13

C.

16

D.

17.5

E.

None of these

10. (0.04)-1.5 = ?
A.

25

B.

125

C.

250

D.

625

11. (243)n/5 x 32n + 1


9n x 3n - 1

=?

A.

B.

C.

D.

3n

12.

1
1 + a(n - m)

1
1 + a(m - n)

=?

A.

B.

C.

D.

1
2
am + n

13. If m and n are whole numbers such that mn = 121, the value of (m - 1)n + 1 is:

14.

A.

B.

10

C.

121

D.

1000

xb

(b + c - a) .

xc

(c + a - b) .

xa

(a + b - c)

=?

xc

15.

xa

xb

A.

xabc

B.

C.

xab + bc + ca

D.

xa + b + c

If x = 3 + 22, then the value of

x -

is:

A.

B.

C.

22

D.

33

16. Value of

(256)54
A.
B.
C.
D.

1012
1024
1048
525

17. 2. What is the value of (7-14 - 7-15)?


A. 6 7-15 B. 6 7-14 C. 7 7-15 D. 7 7-14
18. If 3(n + 4) - 3(n + 2) = 8, What is the value of n?
A. 0

B. -1

C. -2

D. 2

18. If 2x = mathbfsqrt[7]1024mathbfsqrt[7]1024 , What is the value of x ?


A. None of these

B. -7/10

C. 10/7

D. 7/10

19. [(32 52)17 (32 52)18]1/2 = ?


A. 15/4

B. 4/15

C. 7/4

D. 4/7

20. (6561)(1/2) + (6561)(1/4) + (6561)(1/8) = ?


A. 98

B. 86

C. 93

D. 81

21. 3n = 6561. 3n = ?
A. 81

B. 9

C. 16

D. 25

23. If 5(a + b) = 5 25 125 , what is (a + b)2


A. 12

B. 16

C. 34

D. 36

24. (7-1 - 11-1) + (7-1 + 11-1) = ?

A. 2 7-1 B. 2 11-1 C. 14

D. 22

25. (5)1.25 (12)0.25 (60)0.75 = ?


A. 420

B. 260

C. 200

D. 300

26. 65610.14 65610.11 = ?


A. 16

B. 9

C. 4

D. 1

27. What is the value of (2 4 5)5n


A. 25n + 45n + 55n B. (405)n C. (40)5n D. (40n)5
28. If (3)n = 6561, (n)3/2 = ?
A. 64

B. 643

C. 163

D. 16

28. 5x 23 = 36. 5(x+1) = ?


A. 22

B. 21

C. 20.5

D. 22.5

29. 36120 = (36 x)40. What is the value of x?


A. 44

B. 46 C. 62 D. 64

30. If 1000.20 = x, 100.60 = y and xz = y2, what is the value of z?


A. 3

B. 6

C. 4.2

D. 2.2

32. If x = (8 + 37), what is the value of (x (1/x))?


A. 12

B. 4

C. 2

D. 14

33. if 6m = 46656, What is the value of 6m-2


A. 36

B. 7776

C. 216

D. 1296

C. 1000

D. 10000

4. 10222 10220 = ?
A. 10

B. 100

5. If m and n are whole numbers and mn = 196, what is the value of (m - 3)(n+1) ?
A. 2744

B. 1

C. 121

D. 1331

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