Maths Book
Maths Book
Maths Book
r
years? 5. (a) M + x (b) M – x
UP Constable 2009
dk eku Kkr djsaA x
si
30x
(a)38,720 (b) 37,208 (c) (d)
x 4 M 2M
(c) 35,278 (d) 24,476 If y = 5 and 7x + 6y = 29, find dfork] lfork vkSj cchrk
an by
9. 5 :8 : 2
2. ,d oLrq dks900 :i;s esa cspus ij the value of y. dh xfr ls P ls Q rd py jgh gSaA
vftZr ykHk mlh oLrq450dks:i;s es sa lHkh }kjk
Q rd igq¡pus esa yxus okys
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UP Constable 27/01/2019 (Shift-01)
cspus ij gkfu dk nksxquk
25% gSA
ykHk (a) 2.5 (b) 2.4
le; dk vuqikr gksxk\
dekus ds fy, oLrq dks fdl ewY; ij Kavita, Savita and Babita are
ja
(c) 2.3 (d) 2.2
cspk tkuk pkfg,\
R s walking from P to Q at the speed
6.jke us12]000 #i;s yxkdj ,d O;kikj of 5 : 8 : 2. The ratio of time
The profit earned on selling an
a th
article for Rs 900 is twice the çkjEHk fd;kA 6 eghus ckn jghe us Hkh
taken by all to reach Q will be?
loss on selling the same 15]000 #i;s yxkdj O;kikj esa lk>k dj (a) 5 : 8 : 20 (b) 8 : 5 : 20
article for Rs 450. At what fy;kA ;fn o"kZ ds vUr esa jke dks 6]400
price should an item be sold to (c) 20 : 8 : 5 (d) 8 : 20 : 8
ty a
r
(d) 4
0.0113 = ? (d) 132 eh-
si
UP Constable 26/10/2018 (Shift-02)
an by
Answer Key
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1.(a) 2.(c) 3.(c) 4.(d) 5.(a) 6.(a) 7.(a) 8.(c) 9.(b) 10.(a)
ja
11.(b) 12.(b)
R s
13.(d) 14.(c) 15.(c)
a th
ty a
di M
A
r
is:
butter, the three ingredients.
SSC GD 11/01/2023 (Shift-01) 5. jke vkSj ';ke dh mez dk lkis{k vuqikr
It has three times more flour
si
(a) Rs. 5 per kg. 4 : 5 gSANg o"kZ ckn mudh mez dk lkis{kthan sugar and twice as much
(b) Rs. 8 per kg. vuqikr6 : 7 gks tk,xkAksr mudh mez ds sugar as butter. How much
an by
(c) Rs. 10 per kg. chp varj fdruk gS\ flour (in gm) is there in the
recipe?
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(d) Rs. 15 per kg. The relative ratio of the ages
(a) 600 (b) 550
2. fdlh f•ykSus dk vafdr ewY; 2100 #i;s Fkk of Ram and Shyam is 4 : 5. Six
(c) 750 (d) 500
ja
bl ij lsy ds nkSjku nks mÙkjksÙkj NwV 20» years
vkSjhence the relative ratio
R s
of their ages will be 6 : 7. What 8. ,d Nk=k ds vad 68 ds ctk; 88 ds :i
15» nh xbZ FkhA f•ykSus dk fcØh ewY; D;k
is the difference between their esa ntZ fd, x, FksA bl dkj.k] d{kk ds
a th
Fkk\ ages? vkSlr vad 0-5 ls c<+ x,A d{kk esa Nk=k
The marked price of a toy was UP Constable 2009 dh la[;k D;k gS \
Rs.2100 on which two
(a) 2 o"kZ The marks of a student were
ty a
rate of interest is increased by invested some amount after 3 A and B can complete a task in
3.5%, what will be the amount? months. If at the end of 12 12 days, B and C can complete
SSC GD 22/11/2021 (Shift-02) mont hs (from Sohail's the task in 16 days, A and C
(a) Rs. 8,200 (b) Rs. 8,600 inv estment), Sohail and can complete the task in 24
(c) Rs. 8,000 (d) Rs. 8,500 Trishala share the profit in the days. In how many days will
ratio 25 : 24, then how much they together complete the
2 did Trishala invest?
4. ;fn 16 3 % çfr o"kZ dh nj ls nwljs o"kZ task?
UP Constable 26/10/2018 (Shift-02)
UP Constable 28/01/2019 (Shift-02)
ds pØo`f¼ C;kt vkSj rhljs o"kZ ds pØo`f¼(a) 2160 # (b) 2480 # (a) 9.33 (b) 9.67
C;kt ds chp varj420 #i;s gS rks
ewy/u Kkr dhft,A (c) 2880 # (d) 2920 # (c) 10.33 (d) 10.67
r
respectively. If one of the djsaA
(c) 1 h (d) 3 h numbers is 2142, then find
si
A sphere of radius 10 cm is
11. fd;k x;k
,d la[;k dks 3]003 ls xq.kk the other. melted and made into a cone of
vkSj mlds ckn mls 7] 11 vkSj 13 ds (a) 12240 height 10 cm. Find the
an by
(b) 4128
diameter of the cone.
y?kqÙke lekioR;Z }kjk foHkkftr fd;k x;k
(c) 1120 (d) 80
n
UP Constable 28/01/2019 (Shift-1)
vkSj fiQj Lo;a ls foHkkftr fd;k x;kA
13. (5(2((2 – 4)2 + 7) + 3) –1)2 dk eku
(a) 10 lseh (b) 20 lseh
ifj.kke Kkr djsaA blds cjkcj gSA
(c) 40 lseh (d) 80 lseh
ja
R s
Answer Key
a th
1.(c) 2.(b) 3.(b) 4.(b) 5.(b) 6.(c) 7.(a) 8.(d) 9.(d) 10.(c)
ty a
1. fdl ç dkj dh la[;k,¡ lg&vHkkT; ugha gSa\ (a) 5 (b) 9 (a) 48 (b) 60
Which type of numbers are (c) 11 (d) 3 (c) 60 + 48 P (d) 12 + 48 P
NOT co-prime? 5. dfiy vkSj vorkj us fdlh O;kikj esa9. vgen us 1440#i;s 5» okf"kZd nj ls
SSC GD 31/01/2023 (Shift-03) Øe'k% 1300 #i;s rFkk 1400 #i;s yxk;s rFkk 1650 #i;s 4» okf"kZd nj ls m/kj
(a) Any two prime numbers ;fn o"kZ ds vUr esa 675 #i;s dk ykHk fy,] rks 3 o"kZ ckn mls dqy fdruk C;kt
dksbZ
nks vHkkT; la[;k,¡ gqvk gks rks dfiy dks ykHk esa fdrus #i;snsuk iM+sxk\
(b) Any two consecutive odd feys\ Ahmed borrowed Rs. 1440 at
numbers
r
Kapil and Avtar invested Rs. 5% per annum and Rs. 1650
Hkh nks yxkrkj fo"ke la[;k,¡
dksbZ 1300 and Rs. 1400 at 4% per annum, then how
si
(c) Any two consecutive respectively in a business. If much interest will he have to
numbers there is a profit of Rs. 675 at pay after 3 years?
an by
the end of the year, how much
dksbZ
Hkh nks yxkrkj la[;k,¡ UP Constable 2009
money did Kapil get?
(d) Any two consecutive even (a) 414 # (b) 416 #
n
UP Constable 2009
numbers
(a) 320 # (b) 325 # (c) 408 # (d) 480 #
dksbZ
Hkh nks yxkrkj le la[;k,¡
ja
(c) 345 # (d) 340 # 10. 15 o"kks±sa pØo`f¼
e C;kt ds rgr dksbZ
R s
2. nks a[;kvksa
l dk ;ksx 50 gS vkSj nks jkf'k vius vki dh nksxquh gks tkrh gS
6. 360 dk30» & 280 dk 10» & 800 dk
la[;kvksa dk y?kqÙke lekioR;Z vkSj
a th
x dk eku D;k gksxkA
x » = 0 gS] rks fdrus o"kks± esa ;g vius vki dh 4096
egÙke lekiorZd Øe'k% 5 vkSj 180
gS] rks la[;kvksa ds O;qRØe dk ;ksx30% of 360 – 10% of 280 – x% of xquk gks tk,xhA (o"kkZs esa)
800 is 0, then the value of x is
Kkr djasA The amount doubles itself
ty a
UP Constable 2009
The sum of two numbers is under compound interest in
(a) 15 (b) 12 15 years. In how many years
50 and the LCM and HCF of (c) 10 (d) 14
di M
(a)
1
(b)
1
(c)
8
(d)
1 11. ;fn 2P = 3Q = 5R vkSjP + Q +
27 18 9 2520 R = 6200, gS]rksP vkSjR ds chp
5 7 8. lans'k okgd }kj
k 'kgj dh lhek esa iklZy dk varj gS%
(c) (d)
28 17 Hkstus dk •pZ igys fd-xzk- ds 60fy, If 2P = 3Q = 5R and P + Q + R
3. ljy dhft; sSimplify
@ #i;s rFkk vfrfjÙkQ çR;sd fd-xzk- ds= 6200, then the difference
1 1 1 1 7 fy, 48 #i;s gSA ,d iklZy ftldk between P and R is:
3 1 ÷ – + +
2 4 2 3 5 otu 'P' fd-xzk- gS] rks mls Hkstus dh SSC GD 31/01/2023 (Shift-04)
A
(a) 3000 (b) 2000
SSC GD 13/02/2023 (Shift-03)
ykxr fdrus #i, gksxh
(a) 5 (b) 7 (c) 1200 (d) 1800
The cost of sending a parcel
4 5 by a courier within the city 12. rhu lk>snkj
A, B vkSj C dqy /ujkf'k
(c) 9 (d) 8
5 6 limits for the first kg. Rs.60/- ` 36000 dk fuos'k djrs gSaA o"kZ ds
4. fuEu dk eku Kkr djsAa for each additional Kg. Rs.48/ var esa A dks` 26000, B dks`
Find the value of the - for Rs. A parcel whose weight 20800 vkSj C dks` 31200 ykHk ds
following? is 'P' kg. then, shipping cost :i esa feyrs gSaAA vkSjC nksuk
sa }kjk
3
will be in Rs. dqy feykdj fdruh jkf'k dk fuos'k
8 3
812 UP Constable 2009
fd;k tkrk gS\ `( esa)
(c) 29400 (d) 26400 km/h, respectively. In what (a) igys tSls gh gksxk
time (in seconds) will they (b) 31.25% c<+ ksÙkjh gksxh
13. 40 yhVjfeJ.k esa 10» vYdksgy vkSj
cross each other? (c) 20.25% c<+ ksÙkjh gksxh
'ks"k ikuh gSA ;fn blesa 4 yhVj ikuh
(a) 15 (b) 16.5 (d) 10% c<+ ksÙkjh gksxh
feyk;k tk, rks u, feJ.k esa vYdksgy (c) 15.5 (d) 14
dk çfr'kr gksxk% 19. 'kkar ikuh esa ,d uko dh xfr /kjk ds
16. 110 #i;s ykxr okyh ,d oLrq dks 104- çfrdwy xfr ls 50 çfr'kr vfèkd gSA ;fn
40 litres of a mixture has 5 #i;s esa csph xbZA fdruh NwV dh is'kd'kuko dks /kjk ds vuqdwy Pfcanq
ls fcanq
r
10% alcohol and the rest
dh xbZ Fkh\ Q rd igqapus esa 20 feuV yxrs gSa] rks
water. If 4 litres of water be
si
mixed in it, the percentage of An article costing Rs.110 was Q ls fcanq
/kjk ds çfrdwy fcanq P rd
sold for Rs.104.5. How much
alcohol in the new mixture igqapu
s esa fdruk le; yxsxk\
discount was offered?
an by
will be: The speed of a boat in still water
UP Constable 27/01/2019 (Shift-01) is 50 percent more than it's speed
SSC GD 17/01/2023 (Shift-02)
(a) 4% (b) 5% in upstream. If the boat takes 20
n
1 2 (c) 6% (d) 7% minutes to reach point Q from
(a) 9 % (b) 9 % point P in downstream, then how
11 11 17. j{kk 21 fnuksa esa fdlh dk;Z dks iwjk dj
ja
much time will it take to reach
ldrh gS tcfd bLFkj dks dke iwjk djus
R s
1 1 point P from point Q in upstream?
(c) 11
9
% (d) 11
11
% esa 20 fnu yxrs gSaA os ,d lkFk dk;Z djuk SSC GD 24/01/2023 (Shift-04)
a th
'kq: djrs gSa ysfdu dk;Z •Re gks tkus ls (a) 40 feuV (b) 45 feuV
14. 18 O;fDr;ksa ds ,d ifjokj dk vkSlr 4 fnu igys j{kk dk;Z dks NksM+ nsrh gSA (c) 35 feuV (d) 30 feuV
otu 1 fdxzk ls de gks tkrk gSA tc bLFkj fdrus fnu dk;Z djrk gS\ 20. 625 ehVjdh ,d xksykdkj nkSM+ A esa]
mlesa ,d cPps dk otu tksM+k tkrk vkSjB ,d gh fcanq ls] ,d gh le; ij
ty a
15. Øe'k%329 ehVj vkSj 296 ehVj yackbZ dqy {ks=kiQy dks ,d leku j•us gsrq dejs
(c) In 125 seconds/lsdaM sa
e
A vkSjB le kukarj iVfj;ksa ds vk;ru es D;k cnyko fd;k tk,xk\
okyh Vªsusa
(d) In 120 seconds/lsdaM sa
e
ij foijhr fn'kkvksa esa Øe'k% 85
Answer Key
1.(d) 2.(b) 3.(c) 4.(d) 5.(b) 6.(c) 7.(c) 8.(d) 9.(a) 10.(b)
11.(d) 12.(d) 13.(a) 14.(b) 15.(a) 16.(b) 17.(c) 18.(b) 19.(a) 20.(c)
days? f•ykSus dk foØ; ewY; D;k gksxk\ 10. ,sfyl] ckWc vkSj pkyhZ ,d daiuh esa
The difference between a 13% Hkkxhnkj gSaA ,d fo'ks"k o"kZ ds nkSjk
(a) 64 fnu (b) 66 fnu loss and 11% profit while selling dks ykHk dk ,d&frgkbZ Hkkx feyk] ck
(c) 62 fnu (d) 60 fnu a toy was Rs.108. What should dks ykHk dk ,d&pkSFkkbZ feyk vkSj p
3.
be the selling price of the toy if
13 ?kaVs dh ;k=kk ds fy, dkj dh vkSlr the profit earned was 12%? dks 'ks"k feyk] tks fd 5000 #i;s gSaA
pky (fdeh/?kaVk
) esa D;k gksxh] ;fn ;g UP Constable 19/06/2018 (Shift-01) ,sfyl dks fdruk ykHk feyk\
Alice, Bob and Charlie are
igys 3 ?kaVs ds fy, 50 fdeh ?kaVk] vxys(a) 440 # (b) 480 # partners in a company. During
4 ?kaVs ds fy, 60 fdeh
/?kaVk vkSj vafre (c) 504 # (d) 514 # a particular year Alice got one
4 ?kaVs ds fy, 65 fdeh
/?kaVk ls pyrh gS\ third of the profit, Bob got one
7. C;kt nj Kkr djsa] tc 1]000 #i;s ds
What will be the average fourth of the profit and Charlie
speed (in km/hr) of the car for
ewyèku ij 5 o"kZ esa lk/kj.k C;kt 440 got the rest, which is Rs 5000.
a journey of 13 hours, if it #i;s çkIr gksrk gSA How much profit did Alice get?
travels at 50 km/hr for the Find the rate of interest if the (a) ` 4500 (b) ` 5000
first 3 hours, 60 km/hr for the simple interest on a principal
(c) ` 4000 (d) ` 3500
next 4 hours and 65 km/hr for of Rs.1000 gave an interest of
the last 4 hours? Rs.440 in 5 years. 11. isuds ,d lsV ds vafdr ewY; ij 15» dh
SSC GD 02/02/2023 (Shift-04) UP Constable 28/01/2019 (Shift-02) NwV ds ckn Hkh •jhnkj dks bldh dher
(a) 50 (b) 65 (a) 8.4% (b) 8.55% 1]751 #i;s nsuh iM+hA isu ds lsV dk
(c) 62.5 (d) 65.5 (c) 8.8% (d) 8.9% vafdr ewY; D;k Fkk\
The result
obtained on Find the value of X in the 1 3
(c) 17 (d) 17
1 1 given image. 2 4
simplification of 1 – 1–
2 3
X = 587 – 121 ÷ 2316 – 180 – 1296 19. ;fn fdlh ?ku dk lcls yack fod.kZ432
1 1
1 – ..... 1 – will be (a) 2 (b) 1 lseh gS] rks mldk vk;ru gS%
4 23
_______. (c) 0.5 (d) 4 If the longest diagonal of a cube
SSC GD 24/11/2021 (Shift-03) is cm, then its volume is:
16. j ikuh dks VEcyj
50 yhV A ls VEcyj B esa 432
1 1 yk tkrk gSA VEcyj
Mk B ds Hkjus ds ckn] SSC GD 11/01/2023 (Shift-02)
(a) (b)
2 22 mlesa ls ,d pkSFkkbZ ikuh uhps cg tkrk gSA
(a) 1,928 lseh³ (b) 1,625 lseh³
1 1 VEcyjB dh {kerk fdruh gS\
(c) (d) (c) 1,825 lseh³ (d) 1,728 lseh³
3 2 50 litres of water is poured from
tumbler A into tumbler B of which 20. P vkSjQ dh vk;q dk vuqikr
nks O;fÙkQ;ksa
13. 40 eh- yEcs rFkk 30 eh- pkSM+s ,d vk;rkdkj
a quarter of it overflows. What is 5 : 7 gSAvkB o"kZ igysP vkSjQ dh
eSnku ds pkjksa vksj 2-5 eh- pkSM+k jkLrk gSA of tumbler B?
the capacity vk;q dkvuqikr 7 : 13 FkkAP vkSjQ
3-50 #i;s çfr oxZ eh- dh nj ls jkLrs ij UP JAIL POLICE 2020 dh orZe ____ gSA
ku vk;q Øe'k%
?kkl yxokus dk •pZ D;k gksxk \ (a) 37.5 yhVj (b) 30 yhVj
The ratio of ages of two persons
A rectangular field 40 m long (c) 25 yhVj (d) 12.5 yhVj P and Q is 5 : 7. Eight years ago,
and 30 m wide is surrounded 17. ikuh rFkk vYdksgy dks fdl vuqikr esa the ratio of the ages of P and Q
was 7 : 13. The present age of P
by a path 2.5 m wide. What will feyk;k tk, rkfd feJ.k dks Ø; ewY;
be the cost of planting grass on and Q respectively is ____.
ij cspus ij Hkh mls
33.33% ykHk gks\
the road at the rate of Rs.3.50 In what ratio should water and SSC GD 17/11/2021 (Shift-01)
per square meter? wine be mixed so that after (a) 21 vkSj15 o"kZ
UP Constable 2009 selling the mixture at the cost
(b) 15 vkSj21 o"kZ
(a) 1312.50 # (b) 1000 # price a profit of 33.33% is made?
(a) 1 : 5 (b) 1 : 4 (c) 12 vkSj13 o"kZ
(c) 1012.50 # (d) 1300 # (c) 1 : 2 (d) 1 : 3
(d) 20 vkSj28 o"kZ
Answer Key
1.(c) 2.(b) 3.(a) 4.(b) 5.(b) 6.(c) 7.(c) 8.(a) 9.(c) 10.(c)
11.(c) 12.(a) 13.(a) 14.(c) 15.(c) 16.(a) 17.(d) 18.(c) 19.(d) 20.(b)
Answer Key
1.(b) 2.(c) 3.(a) 4.(b) 5.(b) 6.(a) 7.(d) 8.(b) 9.(a) 10.(b)
1. ,d 'kgj esa] 55» yksx Vhoh ij lekpkj Radha takes a loan of Rs.4,00,000 In a bucket, paint and oil are in
ns•rs gSa] 40» v•ckj i<+rs gSa] 25» ukat 14% per annum compound the ratio 7: 5. 24 liters of mixture
interest, compounded half-yearly. is drawn off and 24 liters of oil
v•ckj i<+rs gSa uk gh Vhoh ij lekpkj ns•rs What is the interest that she is added. If the ratio of paint and
gSa vkSj 4000 yksx nksuksa djrs gSa] v•ckj repays after 2 years? oil becomes 1: 1, then how many
i<+uk vkSj Vhoh ij lekpkj ns•ukA 'kgj dh SSC GD 23/01/2023 (Shift-03) liters of paint was contained in
vkcknh Kkr dhft,A (a) Rs.1,24,375.40 the bucket initially?
In a town, 55% people watch (b) Rs.1,24,318.40 (a) 49 (b) 63
news on television, 40% read a (c) Rs.1,24,398.40 (c) 84 (d) 98
newspaper, 25% neither read a (d) Rs.1,24,324.40
8. 16 la[;kvksa dk vkSlr 24-5 gSA ;fn igyh
newspaper nor watch news on 5. esjs ikl3 : 2 : 1 ds vuqikr aes5 #i;s] 2 6 la[;kvksa dk vkSlr 20-5 gS vkSj vafre
television and 4000 people do
#i;s vkSj 1 #i;s ds flDds gSaA ;fn esjs ikl 5 la[;kvksa dk vkSlr 32-4 gS] rks 'ks"k
both, read a newspaper and watch
news on television. Find the 120 #i;s dh oqQy jkf'k gS rks esjs ikl 5 #i;s la[;kvksa dk vkSlr Kkr dhft,A
population of the town. ds fdrus flDds gSa\
The average of 16 numbers is 24.5.
UP ASI 22/12/2018 I have coins in the ratio 3 : 2 : 1
If the average of the first 6
in the denomination of Rs. 5, Rs.
(a) 22,000 (b) 20,000 numbers is 20.5 and that of the
2 and Rs. 1. If I have a total
(c) 150,000 (d) 18,000 last 5 numbers is 32.4, then find
amount of Rs. 120, then how many
the average of the remaining
2. ,d •qnjk foØsrk us 10 #i;s dh nj ls 7 Rs. 5 coins do I have?
numbers.
oLrq,¡] 11 #i;s dh nj ls 9 oLrq,¡] 15 #i;s UP ASI 22/12/2018
SSC GD 23/11/2021 (Shift-03)
dh nj ls 14 oLrq,¡ •jhnhaA çfr oLrq foØ; (a) 12 (b) 24
(c) 6 (d) 18 (a) 21.4 (b) 22.4
ewY; Kkr djsa] ;fn ekuk tkrk gS fd vkSlr
6. lqgkl vkSj fufru
us8 : 3 ds vuqikr esa ,d (c) 20.2 (d) 21.8
ykxr ewY; ij 20» ykHk gksuk pkfg,A
O;olk; esa dqN iSlk fuos'k fd;k] ysfdu 9. x vkSjy nksikbi Øe'k% 24 ?kaVs vkSj
A retailer bought 7 articles for
Rs.10 each, 9 articles for Rs.11,
dqN eghuksa ds ckn lqgkl us viuk iSlk okil 32 ?kaVs esa ,d VSad dks Hkj ldrs gS
14 articles for Rs.15 each. Find ys fy;kA ;fn ckjg eghuksa ds var esa lqgkl;fn nksuksa ikbi ,d lkFk •qys gksa] rk
the selling price per article if the vkSj fufru }kjk ykHk 4 ds vuq
5 :dks ikr esa igys ikbi dks fdl le; can dj nsuk
profit as supposed to be 20% of lk>k fd;k x;k] rks fufru us vdsys fdrus pkfg, ftlls VSad Hkjus esa dsoy 16 ?kaV
the average cost price. eghuksa ds fy, fuos'k fd;k\ gh yxsa\
UP Constable 28/01/2019 (Shift-02) Suhas and Nitin invested some
money in a business in the ratio Two pipes x and y can fill a tank
(a) 15.16 # (b) 15.20 # in 24 hour and 32 hour
8 : 3, but Suhas withdraw his
(c) 15.24 # (d) 15.28 # money after a few months. If at respectively. If both the pipes are
open simultaneously, then at
3. dqN o"kks± esa ewy/u vkSj jkf'k dk vuqikr
the end of twelve months' profit
what time should the first pipe
4:5 gkstkrk vkSjo"kks± ds was shared by Suhas and Nitin
gSA ogka3 ls be closed so that it takes only
in the ratio 5 : 4, for how many
ckn ewy/u vkSj jkf'k dk vuqikr
5:7 months did Nitin invest alone? 16 hour to fill the tank?
gks krk
t gSA C;kt] nj Kkr dhft;sA UP Constable 19/06/2018 (Shift-02) (a) 18 ?kaVs
ckn (b) 12 ?kaVs
ckn
The ratio of Principal to amount
5 3
in some years becomes 4:5. From (a) 5 (b) 6 (c) 15 ?kaVs ckn (d) 10 ?kaVs ckn
there after 3 more years the ratio 8 8
3 5 lhek vkSj xhrk] ,d gh le; esa LFkku
35. A
of principal to amount becomes
(c) 5
8
(d) 6
8 ls 90 fdeh nwj fLFkr LFkku
B ij t kus ds
5:7. Find the rate of interest.
(a) 5 % (b) 8 % 7. ,d ckYVhesa] isaV vkSj rsy 7%5 ds vuqikrfy, ;k=kk 'kq: djrh gSA lhek dh pky]
(c) 1 % (d) 6 % esa gSaA 24 yhVj feJ.k fudkyk tkrk gS xhrk dh pky ls 3 fdeh @ ?kaVk de gSA
4. jk/k14» çfr o"kZ pØo`f¼ C;kt ij 4]00]000 vkSj 24 yhVj rsy Mkyk tkrk gSA ;fn xhrk] LFkku B ij i gqaprh gS vkSj rqjar okil
#i;s dk ½.k ysrh gS] tks v¼Z&okf"kZd :iisaV vkSj rsy dk vuqikr 1%1 gks tkrk pyuk 'kq: djrh gSA ekxZ esa ogBLFkku
ls la;ksftr gksrk gSA og fdruk C;kt gS tksgS] rks 'kq: esa ckYVh esa fdrus yhVj ls 15 fdeh dh nwjh ij lhek ls feyrh gSA
isaV
og 2 o"kZ ckn pqdkrh gS\ Fkk\ xhrk dh pky (fdeh @ ?kaVk esa) Kkr dhft,A
Answer Key
1.(b) 2.(a) 3.(a) 4.(b) 5.(d) 6.(b) 7.(d) 8.(a) 9.(b) 10.(c)
r
5%. Find the price of the article been Rs. _____.
at which Amal bought the picture. 10. A, B ls vk/k dq'kygS tks ky
c ls frxquk dq'
si
UP Constable 19/06/2018 (Shift-01)
gSA os rhuksa feydj ,d dke fdrus fnuksa es
vey us ,d fp=k 20» gkfu ij cspkA ;fn (a) 7,975 (b) 7,500 iwjk dj ldrs gS] ;fnB vdsys bl dke dks
mlus bls 200 #i;s vf/d csprk rks] mls (c) 10,312.50
an by
5» dk ykHk gksrkA ml oLrq dk ewY; Kkr
dhft, ftl ij vey us fp=k •jhnk FkkA
6.
(d) 9,600
;fn çFke 110çkÑr la[;kvksa dk
LCM
6 fnuksa esa iwjk dj ldrk gS\
A is half as efficient as B who is
n
thrice as efficient as C. In how
N gS] rks çFke
115 çkÑr la[;kvksa dk
CISF HC 30/10/2023 (Shift-01) many days can all 3 of them
LCM Kkr dhft,A
(a) Rs.800
ja
(b) Rs.650
complete a task if B can complete
R s
the task alone in 6 days?
(c) Rs.932 (d) Rs.300 If the LCM of the first 110 natural
UP Constable 28/01/2019 (Shift-01)
a th
3. 1]625 #- dh kf'k
j ij nks vyx&vyx lzksrksa numbers is N, then find the LCM (a) 3.13 (b) 3.27
ls 5 o"kks± esa çkIr lk/kj.k C;ktksa ds chp
of the first 115 natural numbers. (c) 3.33 (d) 3.36
32-50 #- dk varj gSA mudh C;kt njksa ds SSC GD 07/02/2023 (Shift-02) 11. ;fn 9 vadh; la[;k 5y97405x2, 72 ls
chp varj Kkr dhft, A foHkkT; gS]x rksds lcls cM+s eku ds
ty a
(a) 111×112×113×114×115N
The difference between the fy, (x – 2y) dk eku Kkr djsaA
simple interest received in 5 (b) 113N
di M
Answer Key
1.(c) 2.(a) 3.(d) 4.(a) 5.(b) 6.(b) 7.(c) 8.(a) 9.(c)
r
10.(b) 11.(a) 12.(d) 13.(c) 14.(a) 15.(b)
si
an by
n
ja
R s
a th
ty a
di M
A
1. X] Y vkSj Z ,d O;olk; esa fuos'k djrs (a) 12 years/o"kZ(b) 4years/o"kZ (a) 32 (b) 24
gSaA ftl le; vof/ ds fy, os fuos'k djrs (c) 8 years/o"kZ (d) 16 years/o"kZ (c) 28 (d) 30
gSa vxj og5 %3 %4 ds vuqikr esa gS vkSj 4. vkSj 5 çf'k{kq fdlh dk;Z dks
7 fo'ks"kK 7. 9 110 ehVj yEch jsyxkM+h 60 fdeh@?k
O;olk; ls çkIr ykHk6 %9 %8 ds vuqikr fnuksa esa iwjk dj ldrs gSa tcfd 4 fo'ks"kKdh pky ls py jgh gS rFkk foijhr
esa gS rks ml vuqikr dk irk yxk,a ftlesa fn'kk ls 6 fdeh@ ?kaVk dh pky ls ,d
vkSj 15 çf'k{kq bls 12 fnuksa esa iwjk dj ldrs
j Z fuos'k fd, x, FksA
X] Y vkS gSaA 5 fo'ks"kKksa vkSj 6 çf'k{kqvksa dks iwjk dk;Z
vkneh vk jgk gSA jsyxkM+h ml vkne
X, Y and Z invest in a business. djus esa fdrus fnuksa dh vko';drk gksxh\ dks fdrus le; esa ikj djsxh\
The time period for which they 7 experts and 5 trainees can A train 110 m long running
invest if it is in the ratio 5 : 3 complete a job in 9 days while with a speed of 60 kmph. In
: 4 and the profit from the 4 experts and 15 trainees can what time will it pass a man
business is in the ratio 6 : 9 complete it in 12 days. How who is running at 6 kmph in
: 8, then find the ratio in which many days will 5 experts and the direction opposite to that
X, Y and Z invest were go. 6 trainees need to complete in which the train is going?
(a) 6 : 10 : 15 the job? (a) 5 lsdsaM (b) 6 lsdsaM
(b) 15 : 10 : 6 UP Constable 19/06/2018 (Shift-01) (c) 7 lsdsaM (d) 10 lsdsaM
(c) 6 : 15 : 10 (a) 10 (b) 12 8. 6]561 dsoxZewy dks Kkr djds bl la[;k
(c) 14 (d) 15 dks vius oxZewy ls foHkkftr fd;k tkrk
(d) 10 : 6 : 15
,d daVs 5. Ng ?kafV;kak% Øe'12 feuV 9 feuV] 8 gSA ifj.kke Kkr djsaA
2. uj esa 36 yhVj ikuh gSA bl daVsuj
ls 6 yhVj ikuh fudky yh xbZ vkSj mldh feuV] 6 feuV] 3 feuV vkSj 10 feuV ds
The square root of 6,561 is
txg rsy Mky fn;k x;kA ;g çfØ;k nks varjky esa Lor% ctrh gSA 'kq: gksus ds calculated. This number is
ckj nksgjkbZ xbZA daVsuj ds vanj fdruk {k.k ls 12 ?kaVs esa os ,d&lkFk fdruh ckj
divided by its own square root.
ikuh gS\ ctsaxh\ Find the result.
Six bells automatically ring at intervals UP constable 27/01/2019 (Shift-01)
A container contains 36 litres of
of 12 minutes, 9 minutes, 8 minutes,
water. From this container, 6 (a) 3 (b) 9
6 minutes, 3 minutes and 10 minutes
litres of the content were taken (c) 27 (d) 81
out and replaced by oil. This respectively. How many times will they
process was repeated two times. ring together in 12 hours from the 4 2 8
How much water is inside the start ? 9. If p = ,q= and r = then
9 3 11
container? SSC GD 22/11/2021 (Shift-02)
which of the following is not true?
SSC GD 31/01/2023 (Shift-01) (a) 4 (b) 6
(a) 30 litres (b) 28 litres (c) 3 (d) 2 4 2 8
(c) 25 litres (d) 20 litres ;fn p = 9 , q = 3 vkSjr = gS]
6. ,d e fgyk 40 fdeh@?kaVk dh xfr ls xkM+h 11
mEehnokj us 41» er çkIr fd, rFkk og 14. 4» çfr o"kZ ds lk/kj.k C;kt dh nj ij 5 (a) 25% (b) 26%
5,580 erksa
ls ijkftr gks x;k A dqy erksa o"kZ gsrq 3]750 #i;s dk fuos'k djus ij (c) 25.5% (d) 27.5%
dh la[;k fdruh Fkh\ ___#i;s dk C;kt izkIr gksxkA
Answer Key
1.(c) 2.(c) 3.(c) 4.(b) 5.(c) 6.(d) 7.(b) 8.(d) 9.(a) 10.(b)
1. B vkSjC ,d dk e 40 fnuksa esa iwjk dj (a) 2480 # (b) 2520 # 8. fuEufyf•resa ls dkSu&lk lcls NksVk gS\
ldrs gSa] tcfdA, B vkSjC mlh dke dks Which one of the following is the
(c) 2600 # (d) 2640 #
20 fnuksa esa iwjk dj ldrs gSaA og
A vdsys least?
dke fdrus fnuksa esa iwjk dj ldrk gS\5. fuEufyf[
kr O;atd dks gy djsaA
/Solve 3, 3 2, 2 and 3
4
the following expression.
B & C can complete a task in 40
days while A, B & C can complete (a) 2 (b) 3
2
10 [5 (5 10)] 5
the task in 20 days. In how many ?
(5 10) (5 10) 5 (c) 3 (d) 3
4
days can A complete the task alone?
UP Constable 28/01/2019 (Shift-01) (a) 1 (b) 2 9. ,d iQy cspus okyk 23» dh gkfu ij vaxwj
(a) 20 (b) 25 csprk gS vkSj ,sls xyr otu dk mi;ksx djrk
(c) 5 (d) 10
r
(c) 30 (d) 40 gS ftldk otu lgh otu ls 30» de gSA
lekuqikfrd la[;k,¡ çkIr djus ds fy, 6. Ñfrdk ds ikl 21,450 # Fks A mlus mldk ykHk ;k gkfu çfr'kr Kkr dhft,A
si
2.
la[;k 39] 42] 9 vkSj 10 esa ls çR;sd esa bl jkf'k dk 16% okg u ij [kpZ fd;kA A fruit-seller sells grapes at a
fiQj] mlus 'ks"k jkf'k dk jk'ku
an by
D;k tksM+k tkuk pkfg,\
What should be added to each of ij [kpZ fd;kA fiQj]
50%
mlus baVjusV
991 # [kpZ fd,A vc mlds ikl fdrus
ij
loss of 23% and uses false weight
which is 30% less than the
original weight. What is his gain
n
the numbers 39, 42, 9 and 10 to
or loss percentage?
get the numbers which are in #i;s cps gSa\ UP ASI 22/12/2018
proportion?
2 years 6 months.
The average score obtained by (c) 8,640 # (d) 9,852 # CISF HC 30/10/2023 (Shift-01)
Jitendra and Umar is 70, the 7. ,d VªsuP ls Q rd µ fdeh@?kaVk dh pky (a) Rs.5001 (b) Rs5011.5
average score obtained by Umar
and Shyamal is 56, while the ls tkrh gS fiQj
Q ls R rd (QR = 2PQ) (c) Rs.5025.5 (d) Rs.5021.5
3µ fdeh@?kaVk dh pky tkrhlsgS vkSj
average score obtained by
R 11. 60 33 2 (29 26 31) ?
Shyamal and Jitendra is 78. What ls P rd µ/2 fdeh@?kaVk dh pky okills
(a) 5 (b) 10
is the average of the scores vkrh gSA P ls 'kq: gksdj P rd okil
obtained by Jitendra, Umar and (c) 6 (d) 3
vkus ds nkSjku bl iwjh ;k=kk esa Vªsu dh
Shyamal? ksa dk
12. nks la[;kv LCM muds HCF dk
vkSlr pky (fdeh@?kaVk esa) Kkr djsaA
UP Constable 26/10/2018 (Shift -2) 15 xquk gSA y-l-i- vkSj e-l-i- dk ;ksx
A train goes from P to Q with a
(a) 67 (b) 68
speed µ km/h, then from Q to R 112 gSA ;fn ,d la[;k 49 gS] rks nwljh
(c) 69 (d) 69.5 (QR = 2PQ) with a speed 3µ km/ la[;k gS%
A
4. ,d ½ .k çR;sd1750 #i; s dh 2 leku h, and returns from R to P with The LCM of two numbers is 15
okf"kZd fdLrksa esa pqdk;k tkrk gSA a;fnspeed µ/2 km/h. What is the times their HCF. The sum of the
average speed (in km/h) of the
C;kt nj 25% çfr o"kZ okf"kZd :i ls train for the entire journey
LCM and the HCF is 112. If one
la;ksftr gks] rks ewy ½.k D;k gS\ starting from P and back to P? of the numbers is 49, then the
A loan is repaid in 2 equal annual other number is:
18μ 4μ
installments of Rs 1750 each. If (a) (b) SSC GD 10/01/2023 (Shift-02)
the interest rate is 25% per year 23 3
(a) 18 (b) 21
compounded annually, what is 16μ 3μ
(c) (d) (c) 24 (d) 15
the original loan amount? 23 2
r
The child birth rate of a town
(c) 6 (d) 7 increased by 5% in 2023. It will
ysrh gSA 10 osa •EHks rFkk 31 osa •EHks ds
si
again be increased by 8% 2024.
chp dh nwjh (ehVj esa) D;k gksxh\ 17. A, B, C us 1 % 3 % 5 ds vuqikr esa Find the net percentage change in
vius fuos'k ds lkFk ,d O;olk; 'kq:
an by
45 pillars are standing in a line
such that distance between any
two consecutive pillars is same. A
fd;kA 4 eghus ckn]
A us igys dh rjg
B vkSjC us vius
gh fuos'k fd;k vkSj
the population increment of the
town.
n
CISF HC 30/10/2023 (Shift-02)
car travelling with uniform speed
fuos'k dk vk/k okil ys fy;kA o"kZ ds (a) 15% (b) 12%
of 72 km/h takes 18 seconds to
var esa muds ykHk dk vuqikr gS%
ja
reach from 1st pole to 10th pole. (c) 13.4% (d) 13%
R s
What is the distance between A, B, C started a business with their
2
10th and 31st pole (in metres)? investments in the ratio 1 : 3 : 5. 20. 2 o"kZ esa
1470 #i; s ij 14 % dh
a th
7
After 4 months, A invested the same
(a) 800 (b) 820
amount as before and B as well as
nj ls CI vkS
j SI ds chp D;k varj gS\
(c) 840 (d) 910 C withdrew half of their What is the difference between
15. nks LVs'
kuksa ds chp çFke Js.kh vkSj f}rh;investments. The ratio of their CI and SI on Rs 1470 at the rate
ty a
Answer Key
1.(d) 2.(d) 3.(b) 4.(b) 5.(b) 6.(a) 7.(a) 8.(b) 9.(c) 10.(d)
A
11.(d) 12.(d) 13.(c) 14.(c) 15.(c) 16.(d) 17.(d) 18.(c) 19.(c) 20.(c)
1. 4.
16 ehVj] 14 ehVj vkSj 10 ehVj ,d dejs 1]00]000 #i;s ewY; dk ,d ?kjA }kjk 2
(a) 9 fnu (b) 14 fnu
ds vk;ke gSaA lHkh vk;keksa dks lVhd :i lsB dks6» ds ykHk ij cspk tkrk gSA
B] 5
ekius ds fy, lcls cM+s laHkkfor iSekus dhA dks3» gkfu ij ?kj okil csprk gSA 1
yackbZ Kkr djsaA iwjs ysu&nsuA dk
esaykHk@gkfu D;k gS\ (c) 10 fnu (d) 12 fnu
2
16 m, 14 m and 10 m are the A house worth Rs.1,00,000 is sold
dimensions of a room. Find the by A to B at a profit of 6%. B sells 7. ,d gh le; esa LFkkuA
lhek vkSj xhrk]
length of the greatest possible house back to A at 3% loss. What ls 90 fdeh nwj fLFkr LFkku
B ij tkus ds
scale to measure all dimensions is the gain/loss of A in the entire fy, ;k=kk 'kq: djrh gSA lhek dh pky]
exactly. transaction? xhrk dh pky ls 3 fdeh @ ?kaVk de gSA
SSC GD 01/02/2023 (Shift-01) xhrk] LFkku
B ij igqaprh gS vkSj rqjar okil
r
SSC GD 23/01/2023 (Shift-01)
(a) Loss of Rs.3,280 pyuk 'kq: djrh gSA ekxZ esa ogBLFkku
(a) 3 ehVj (b) 4 ehVj
si
(b) Gain of Rs.2,802 ls 15 fdeh dh nwjh ij lhek ls feyrh gSA
(c) 2 ehVj (d) 10 ehVj (c) Loss of Rs.2,280 xhrk dh pky (fdeh @ ?kaVk esa) Kkr dhft,A
2. nks çdkj ds
an by
LVsuysl LVhy esa Øksfe;e vkSj(d) Gain of Rs.2,820
LVhy ds chp dk vuqikr Øe'k% 2 : 11 5. foeyk uslk/kj.k C;kt ij 7]200 #- dk
Seema and Geeta, at the same
time, start the journey to reach
n
place B which is 90 km away from
vkSj5 : 21 gSA;fn bu nks çdkj ds LVsuysl ½.k fy;kA C;kt dh nj vkSj vof/ o"kZ place A. The speed of Seema is 3
LVhy dks ,d lkFk feykdj ,d u;k LVsuysl ds la[;kRed eku leku gSaA ½.k vof/ ds km/h less than the speed of
ja
LVhy cuk;k tkrk gS ftlesa Øksfe;e vkSjvar esa ;fn mls C;kt ds :i esa 5]832 #- Geeta. Geeta reaches place B and
R s
LVhy dk vuqikr 7: 32 gS] rks
og vuqikr dh /ujkf'k dk Hkqxrku djuk iM+k] rks C;ktimmediately starts walking back.
a th
ratio between chromium and steel same numerical value. Find the (a) 9 (b) 10.5
are 2 : 11 and 5 : 21 respectively. rate of interest if he had to pay an (c) 12 (d) 7.5
di M
r
SSC GD 11/01/2023 (Shift-01) (c) 11 : 12 : 13 (d) 13 : 11 : 12
If a rectangle has 10 cm long
si
diagonal and perimeter 28 cm, (a) 3 (b) 2
then the area of the rectangle is: (c) 2.5 (d) 1.5
(a) 60 cm2 an by
SSC GD 30/01/2023 (Shift-02)
(b) 24 cm2
n
(c) 48 cm2 (d) 96 cm2
ja Answer Key
R s
1.(c) 2.(b) 3.(b) 4.(d) 5.(b) 6.(a) 7.(b) 8.(d) 9.(b) 10.(c)
a th
1. ;fn x dk 25%, (x + 60) ds 30» ls The ratio of the cost price to the 7. ,d vf /dkjh vkSj ,d DydZ dh ekfld
40 de gS] rks(x – 40) dk 35»] 120 ls marked price of a table is 3 : 4. osru 11 % 4 ds vuqikr esa gSA ;fn vf/
fdrus çfr'kr vf/d gksxk\
The shopkeeper gives two equal dkjh ds ekfld osru esa 7]000 #- vkSj DydZ
successive discounts of 25% on ds ekfld osru esa 3]000 #- dh o`f¼ gksrh
If 25% of x is 40 less than 30% of
the marked price and sells the
(x + 60), then 35% of (x – 40) is gS rks vuqikr 19 % 7 gks tkrk gS vf/dkjh
table for Rs 2,250. Find the loss
what percent more than 120? dk çkjafHkd osru (#- esa) fdruk Fkk \
SSC GD 17/11/2021 (Shift-01)
during this transaction.
The monthly salaries of an officer
SSC GD 11/01/2023 (Shift-03) and a clerk are in the ratio 11 : 4.
1
(a) 20% (b) 12 % (a) Rs. 1,000 (b) Rs. 750 If the monthly salary of an officer
2
is increased by Rs. 7,000 and that
r
(c) Rs. 500 (d) Rs. 250 of a clerk by Rs. 3,000, the ratio
2
(c) 16 % (d) 25% lk/kj.k C;kt dh ,d fuf'pr okf"kZd nj
5. becomes 19 : 7. What was the
si
3
ij ,d /ujkf'k ij çkIr feJ/u 4 o"kZ officer's starting salary (in Rs.)?
2. ] nks mEehnokj
,d pquko esa A vkSjB FksA
ckn 13200 #- vkSj 8 o"kZ ckn 16400 #-
esa ernkrkvksa dh dqy la[;k gksrk gSA mlh /ujkf'k ij 10» okf"kZd C;kt
fuokZpu {ks=k
an by
90000 Fkh vkSj dqy erksa dk 70» ernku
SSC GD 18/11/2021 (Shift-1)
(a) 1,52,000 (b) 32,000
n
1 (c) 88,000 (d) 56,000
gqvk FkkA ;fn ernku esa ls 60»A ds
oksV dh nj ls 3 5 o"kZ çkIr
esa lk/kj.k C;kt
i{k esa iM+s
] rksB dks fdrus oksV
çkIr gq,\ 8. ;fn 51, x, 72 vkSj96 lekuqikrha] gSrks
(#- esa) Kkr dhft,A (2x + 8) vkSj(x + 13) ds chp eè;kuqikr
ja
R s
In an election, there were two The amount received on a sum fdruk gksxk\
candidates A and B. The total of money at a certain rate of If 51, x, 72 and 96 are proportional,
a th
number of voters in the simple interest per annum is then what will be the mean
constituency was 90000 and 70% Rs. 13200 after 4 years and Rs. Proportional between (2x + 8) and (x
of the total votes were polled. If 16400 after 8 years. Find the + 13)?
60% of the polled votes were cast simple interest (in Rs.) on the SSC GD 25/11/2021 (Shift-03)
ty a
r
15.
24 and 36 is divided by 40.
2 ?kksM+s cka/s x, gSa] çR;sd dks cka/us d
fnu
si
(b) 14 SSC GD 06/02/2023 (Shift-03)
5 7 ehVj yach jLlh dk mi;ksx fd;k x;k
(a) 144 (b) 36
gS] ?kksM+ksa }kjk pjs x, dqy LFkku dk {
fnu
(c) 10
n
(d) 12
2
fnu la[;kvksa esa 3 dk varj gSA la[;kvksa dk
corners of a triangular field, 7 m
LCM Kkrdhft,A long rope is used to tie each, find
11. ¡ A vkSjB ,d lh/h js• k ij
nks jsyxkfM+;k
ja The product of 2 numbers is 1890
155 fdeh dh nwjh ij gSaA ,d Vªsu lqcg and the numbers differ by 3. Find
the area of the total space
R s
occupied by the horses.
7%00 ctsA ls 'kq: gksrh gSA vkSj 20 the LCM of the numbers.
a th
Answer Key
1.(c) 2.(b) 3.(c) 4.(b) 5.(a) 6.(b) 7.(a) 8.(b) 9.(d) 10.(a)