paper - i (quantitative abilities) iz'u i=k & …€¦ · 888 888 888 888 888 888 ... if...

14
Ph: 09555108888, 09555208888 1 2007, OUTRAM LINES, 1ST FLOOR, OPPOSITE MUKHERJEE NAGAR POLICE STATION, DELHI-110009 1. Ram borrows ` 6800 at 12 1 2 % per annum compound interest. He agrees to pay in two equal instalments. Find his each installemnt. (A) ` 4000 (B) ` 4500 (C) ` 4050 (D) ` 3890 2. Find the value of cos20°cos40ºcos60°cos80° (A) 1 16 (B) 3 16 (C) 1 (D) 0 3. If 2 4 8 x y z , and 1 1 1 7 2 4 8 x y z ; then find the value of x. (A) 4 (B) 1 4 (C) 7 16 (D) 16 7 4. The diameters of two cylinders, whose volumes are equal, are in the ratio 3 : 2 Their heights will be in the ratio (A) 4 : 9 (B) 5 : 6 (C) 5 : 8 (D) 8 : 9 5. Average of 11 numbers is 36, whereas average of 9 of them is 34. If the remaining two numbers are in the ratio 2 : 3, then find the smaller number (between remaining two numbers). (A) 36 (B) 35 (C) 48 (D) 54 6 The average weekly salary of A, B and C is ` 4,000 and that of B, C and D is ` 5,000. If the weekly salary of A is ` 2,750 then the weekly salary of D is (A) ` 5, 750 (B) ` 4, 750 (C) ` 5, 280 (D) ` 3, 800 7. Find the minimum value of sin³cos³ (A) 1 8 (B) 1 8 (C) 1 4 (D) 1 4 8 If x = 19 and y = 18, then the value of 3 3 2 2 y x xy y x is (A) 1 (B) 37 (C) 324 (D) 361 PAPER - I (QUANTITATIVE ABILITIES) I ( ) 1. 12 1 2 % ` 6800 (A) ` 4000 (B) ` 4500 (C) ` 4050 (D) ` 3890 2. cos20° cos40º cos60° cos80° (A) 1 16 (B) 3 16 (C) 1 (D) 0 3. 2 4 8 x y z 1 1 1 7 2 4 8 x y z x (A) 4 (B) 1 4 (C) 7 16 (D) 16 7 4 3 2 (A) 4 : 9 (B) 5 : 6 (C) 5 : 8 (D) 8 : 9 5. 11 36 , 9 34 2 : 3 ( ) (A) 36 (B) 35 (C) 48 (D) 54 6 A, B C ` 4 000 B, C D ` 5 000 A ` 2750 D (A) ` 5, 750 (B) ` 4, 750 (C) ` 5, 280 (D) ` 3, 800 7. sin³cos³ (A) 1 8 (B) 1 8 (C) 1 4 (D) 1 4 8 x = 19 y = 18 3 3 2 2 y x xy y x (A) 1 (B) 37 (C) 324 (D) 361

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Page 1: PAPER - I (QUANTITATIVE ABILITIES) iz'u i=k & …€¦ · 888 888 888 888 888 888 ... If f(x)= 4x3 – 2x2 + 5x – 8 is divided by (x – 2) then the remainder is (A) 26 (B) 16 (C)

Ph: 09555108888, 09555208888 1

2007, OUTRAM LINES, 1ST FLOOR, OPPOSITE MUKHERJEE NAGAR POLICE STATION, DELHI-110009

1. Ram borrows ` 6800 at 121

2% per annum

compound interest. He agrees to pay in twoequal instalments. Find his eachinstallemnt.

(A) ` 4000 (B) ` 4500(C) ` 4050 (D) ` 3890

2. Find the value of cos20°cos40ºcos60°cos80°

(A)1

16(B)

3

16(C) 1 (D) 0

3. If 2 4 8x y z , and 1 1 1

72 4 8x y z

; then

find the value of x.

(A) 4 (B)1

4

(C)7

16(D)

16

7

4. The diameters of two cylinders, whosevolumes are equal, are in the ratio 3 : 2Their heights will be in the ratio(A) 4 : 9 (B) 5 : 6(C) 5 : 8 (D) 8 : 9

5. Average of 11 numbers is 36, whereasaverage of 9 of them is 34. If the remainingtwo numbers are in the ratio 2 : 3, thenfind the smaller number (betweenremaining two numbers).(A) 36 (B) 35(C) 48 (D) 54

6- The average weekly salary of A, B and C

is ` 4,000 and that of B, C and D is `5,000. If the weekly salary of A is ` 2,750then the weekly salary of D is(A) ` 5, 750 (B) ` 4, 750(C) ` 5, 280 (D) ` 3, 800

7. Find the minimum value of sin³cos³

(A)1

8(B)

1

8

(C)1

4 (D)

1

4

8- If x = 19 and y = 18, then the value of

33

22

yx

xyyx

is

(A) 1 (B) 37(C) 324 (D) 361

PAPER - I (QUANTITATIVE ABILITIES)

iz'u i=k & I (ifjek.kkRed vfHk#fp)

1. jke 121

2% okf"kZd pØof̀¼ C;kt dh nj ij ` 6800

Í.k ysrk gSA og bls nks leku okf"kZd fdLrksa esa ykSVkus ijlger gksrk gSA mldk izR;sd fdLr crk,¡A(A) ` 4000 (B) ` 4500

(C) ` 4050 (D) ` 3890

2. cos20° cos40º cos60° cos80° dk eku Kkr djsaA

(A)1

16(B)

3

16

(C) 1 (D) 0

3. ;fn 2 4 8x y z vkSj 1 1 1

72 4 8x y z

gks] rks x

dk eku Kkr dhft,A

(A) 4 (B)1

4

(C)7

16(D)

16

7

4- nks leku vk;ru okys csyu dk O;kl 3 % 2 osQ vuqikresa gSA mudh Å¡pkb;ksa esa vuqikr gksxk&(A) 4 : 9 (B) 5 : 6(C) 5 : 8 (D) 8 : 9

5. 11 la[;kvksa dk vkSlr 36 gS, tcfd muesa ls 9 dk vkSlr34 gSA ;fn 'ks"k nks la[;kvksa dk vuqikr 2 : 3 gks rks NksVhla[;k ('ks"k nks la[;kvksas esa) fudkysaA(A) 36 (B) 35(C) 48 (D) 54

6- A, B rFkk C dk lkIrkfgd vkSlr osru ` 4]000 rFkkB, C vkSj D dk ` 5]000 gSA ;fn A dk lkIrkfgdosru ` 2750 gS] rks D dk lkIrkfgd osru gksxk&(A) ` 5, 750 (B) ̀ 4, 750(C) ` 5, 280 (D) ̀ 3, 800

7. sin³cos³dk U;wure eku crk;sA

(A)1

8(B)

1

8

(C)1

4 (D)

1

4

8- ;fn x = 19 rFkk y = 18 gks rks 33

22

yx

xyyx

dk eku gksxk &

(A) 1 (B) 37

(C) 324 (D) 361

Page 2: PAPER - I (QUANTITATIVE ABILITIES) iz'u i=k & …€¦ · 888 888 888 888 888 888 ... If f(x)= 4x3 – 2x2 + 5x – 8 is divided by (x – 2) then the remainder is (A) 26 (B) 16 (C)

Ph: 09555108888, 09555208888 2

2007, OUTRAM LINES, 1ST FLOOR, OPPOSITE MUKHERJEE NAGAR POLICE STATION, DELHI-110009

9. Let K be a positive integer such that k + 4is divisible by 7. Then the smallest positiveinteger n, greater than 2, such that k +2nis divisible by 7 is -

(A) 9 (B) 7(C) 5 (D) 3

10. If 31

2

xx , then the value of

(x72 + x66 + x54 +x36 + x24 +x6 + 1)(A) 1 (B) 2(C) 3 (D 4

11. In ABC, A = 80º, B = 60º. AD is meadianand AE is perpendicular on side BC. FindDAE.

(A) 20º (B) 28º(C) 10º (D) 23º

12. If P = x

x

sin1

sin1

, Q =

x

x

cos

sin1and R =

x

x

sin1

cos

then which of the following is correct ?

(A) RQP (B) PRQ

(C) QPR (D) RQP

13. A merchant bought 200 eggs, of which 38got broken. He sold the remaining eggs atthe rate of ̀ 4.80 per dozen and thus gained8%. The total investment (in `) is :

(A) `120 (B) `80(C) `60 (D) `45

14. The expression º53cotº33tan

º37cotº57tan

is equal to

(A) tan 33ºcot57º (B) tan 57º cot 57º(C) tan 33º cot 53º (D) tan 57º cot 37º

15. The simplified form of

1 2 3 4 5 6888 888 888 888 888 888

7 7 7 7 7 7

(A) 5997 (B) 5331(C) 5994 (D) 5328

16. Two poles are 'A' meter apart and the heightof one is double than that of the other. Iffrom the middle point of line joining theirfeet, an observer finds the angular elevationof their tops to be complementary, then theheight of shorter pole is

(A) 4

Ameter (B)

2

Ameter

(C) 2A meter (D) 22

Ameter

17. Base of a right pyramid is a square of area324 m2. If the volume of the pyramid is 1296cu.m., then the area (in m2) of the slantsurface is :(A) 360 (B) 432(C) 540 (D) 1080

9. ekuk fd K ,d /ukRed iw.kkZad la[;k bl izdkj gS fdk + 4, 7 ls foHkkftr gksrk gS] rks 2 ls cM+h U;wure/ukRed iw.kkZad la[;k n, (tks bl izdkj gS fd k +2n, 7

ls foHkkftr gks) fudkysa(A) 9 (B) 7(C) 5 (D) 3

10. ;fn 31

2

xx gks] rks (x72 + x66 + x54 +x36 + x24

+ x6 + 1) dk eku gS &(A) 1 (B) 2(C) 3 (D) 4

11. ABC esa A = 80º, B = 60º, AD ekfè;dk gS rFkkAE Hkqtk BC ij yEc gSA DAE dk eku Kkr djsaA(A) 20º (B) 28º(C) 10º (D) 23º

12. ;fn P = x

x

sin1

sin1

, Q =

x

x

cos

sin1 ,oa R =

x

x

sin1

cos

gS] rks fuEufyf[kr esa ls dkSu lk dFku lR; gS\

(A) RQP (B) PRQ

(C) QPR (D) RQP

13. ,d O;kikjh us 200 vaMs [kjhns ftlesa ls 38 VwV x,A 'ks"kvaMs mlus `4.80 izfr ntZu dh nj ls csp fn, vkSj blizdkj mls 8% dk ykHk gqvkA dqy fuos'k (` esa) gSA(A) `120 (B) `80(C) `60 (D) `45

14. O;tad º53cotº33tan

º37cotº57tan

dk eku gS &

(A) tan 33ºcot57º (B) tan 57º cot 57º(C) tan 33º cot 53º (D) tan 57º cot 37º

15.1 2 3 4 5 6

888 888 888 888 888 8887 7 7 7 7 7

dk

ljyhÑr :i gS&(A) 5997 (B) 5331(C) 5994 (D) 5328

16. nks [kEHks ,d nwljs ls ̂ A* ehVj dh nwjh ij gSa vkSj muesa ls,d dh mQ¡pkbZ nwljh ls nqxquh gSA ;fn mu nksuksa ds vk/kj dksfeykus okyh js[kk ds chp ls] mu nksuksa [kaHkks ds 'kh"kksZa ds mUu;udks.k ,d nwljs ds vuqiwjd gSa rks NksVs [kaHks dh mQ¡pkbZ gS &

(A) 4

AehVj (B)

2

AehVj

(C) 2A ehVj (D) 22

AehVj

17. ,d yEc fijkfeM dk vk/kj oxkZdkj gS ftldk {ks=kiQy324 oxZ ehVj gSA ;fn fijkfeM dk vk;ru 1296 ?ku ehVjgS] rks frjNh lrg dk {ks=kiQy (oxZ ehVj esa) gS :(A) 360 (B) 432(C) 540 (D) 1080

Page 3: PAPER - I (QUANTITATIVE ABILITIES) iz'u i=k & …€¦ · 888 888 888 888 888 888 ... If f(x)= 4x3 – 2x2 + 5x – 8 is divided by (x – 2) then the remainder is (A) 26 (B) 16 (C)

Ph: 09555108888, 09555208888 3

2007, OUTRAM LINES, 1ST FLOOR, OPPOSITE MUKHERJEE NAGAR POLICE STATION, DELHI-110009

18. I is the incentre of a triangle ABC. If

º65ABC and º55ACB , then the

value of BIC is

(A) 130º (B) 120º

(C) 140º (D) 110º

19. The simplified value of 3.36 1.33 2.05

is:

(A) 2.6 (B) 2.61

(C) 3.41 (D) 2.64

20. The ratio between the number of sides oftwo regular polygons is 1 : 2 and the ratiobetween their interior angles is 2 : 3. Thenumber of sides of these polygons arerespectively.(A) 6, 12 (B) 5, 10

(C) 4, 8 (D) 7, 1421. From any point inside an equilateral

triangle, the lengths of perpendiculars onthe sides are ‘a’ cm, ‘b’ cm and ‘c’ cm. Itsarea (in cm2) is :

(A) 2

²3

a b c (B) 2

3a b c

(C) 23

3a b c (D)

3

3a b c

22. If f(x)= 4x3 – 2x2 + 5x – 8 is divided by (x – 2)then the remainder is(A) 26 (B) 16

(C) 42 (D) 1823. A bag contains ` 1,50-paise and 25-paise

coins in the ratio of 5 : 8 : 16. If the totalamount is ` 520, the number of 25-paisecoins is:

(A) 48 (B) 120

(C) 640 (D) 19224. The product of two expressions is (x – 7)

(x2 + 8x + 12). If HCF of these expressions is(x + 6) then their LCM is(A) x2 – 5x + 14 (B) x2 + 5x – 14

(C) x2 – 5x – 14 (D) x2 + 5x + 14

25. If a b c b c a c a b

a b b c c a

and a + b +

c = 0, then

(A) a b c (B) a b c

(C) a b c (D) a b c

26. A batsman scores some runs in his 51stcompletes inning so that his averageincreases from 59.6 to 60. The runs scoredby the batsman in his 51st inning is(A) 75 (B) 70

(C) 100 (D) 80

18. I] f=kHkqt ABC dk var%dsUnz gSA ;fn º65ABC vkSj

º55ACB gS] rks dk BIC eku gS &(A) 1300 (B) 1200

(C) 1400 (D) 1100

19. 3.36 1.33 2.05 dk ljyhÑr eku gS&

(A) 2.6 (B) 2.61

(C) 3.41 (D) 2.64

20. nks lecgqHkqt ds Hkqtkvksa dh la[;kvksa dk vuqikr 1% 2 gS,oa muds izR;sd var%dks.k ds eku dk vuqikr 2 % 3 gS]rks mu lecgqHkqt dh Hkqtkvksa dh la[;k ozQe'k% gS&(A) 6] 12 (B) 5] 10

(C) 4] 8 (D) 7] 14

21. fdlh leckgq f=kHkqt ds Hkhrj fdlh Hkh fcUnq ls Hkqtkvksa ijMkys x;s yEcksa dh yEckbZ ‘a’ lseh, ‘b’ lseh rFkk ‘c’ lseh gSAmldk {ks=kiQy (oxZ lseh esa) gS :

(A) 2

²3

a b c (B) 2

3a b c

(C) 23

3a b c (D)

3

3a b c

22. f(x)= 4x3 – 2x2 + 5x – 8 esa (x – 2) ls Hkkx nsus ij'ks"kiQy gS(A) 26 (B) 16

(C) 42 (D) 18

23. ,d FkSyk esa ̀ 1,50-iSls vkSj 25-iSls ds flDds 5 : 8 : 16

ds vuqikr esa gSaA ;fn dqy jkf'k ` 520 gS] rks 25-iSls dsflDdksa dh la[;k gS&(A) 48 (B) 120

(C) 640 (D) 192

24. nks O;atdsksa dk xq.kuiQy (x – 7) (x2 + 8x + 12) gSA ;fnbu O;atdksa dk eúlú (x + 6) gks] rks budk yúlú gS(A) x2 – 5x + 14 (B) x2 + 5x – 14

(C) x2 – 5x – 14 (D) x2 + 5x + 14

25. ;fn a b c b c a c a b

a b b c c a

rFkk a + b +

c = 0 gks, rks(A) a b c (B) a b c

(C) a b c (D) a b c

26. ,d cYysckt viuh 51oha iw.kZ ikjh esa dqN ju cukrk gS]ftlls mldk vkSlr 59-6 ls c<+dj 60 gks tkrk gSAcYysckt }kjk 51oha ikjh esa cuk;s x;s ju gSa(A) 75 (B) 70

(C) 100 (D) 80

Page 4: PAPER - I (QUANTITATIVE ABILITIES) iz'u i=k & …€¦ · 888 888 888 888 888 888 ... If f(x)= 4x3 – 2x2 + 5x – 8 is divided by (x – 2) then the remainder is (A) 26 (B) 16 (C)

Ph: 09555108888, 09555208888 4

2007, OUTRAM LINES, 1ST FLOOR, OPPOSITE MUKHERJEE NAGAR POLICE STATION, DELHI-110009

27. A sum of money amounts to ̀ 500 in 2 yearsand 600 in 3 years at compound interestrate, then the rate percent per annum is :(A) 6% (B) 20%(C) 8% (D) 10%

28. If (b + c), (c + a), (a + b) are in A.P. then

(A) b = a + c (B) 2

cba

(C) 2

bac

(D)

2

cab

29. If sec– cos= 3

2, where is a positive

acute angle, then the value of secis:

(A) 0 (B)1

2

(C) 1 (D) 230. Two trains with their speeds in the ratio

of 3 :4 are going in opposite directionsalong parallel tracks. If each takes 3seconds to cross a telegraph post, thenthe time taken by the trains, to crosseach other completely, will be(A) 3 sec. (B) 4 sec.(C) 7 sec. (D) 21 sec.

31. If the area of a trapezium is 250 sq.m andthe lengths of the two parallel sides are15 m and 10 m respectively, then distancebetween the parallel sides of thetrapezium is(A) 15 m (B) 17 m

(C) 20 m (D) 12 m32. A shopkeeper marks an article at ` 60 and

sells it at a discount of 15%. He also gives agift worth ` 9. If he makes 20% profit, thecost price is

(A) ` 22 (B) ` 32

(C) ` 40 (D) ` 3533. A train travels 6 km in the first quarter of

an hour, 8 km in the second quarter and40km in the third quarter. Find the averagespeed of the train per hour over the entirejourney.(A) 72 km/h (B) 18 km/h(C) 77.33 km/h (D) 78.5 km/h

34. If a certain number of two digits is dividedby the sum of its digits, then the quotientis 6 and the remainder is 3. If the digitsare reversed and the resulting number isdivided by the sum of the digits, the quotientis 4 and the remainder is 9. The sum ofthe digits of the number is:

(A) 4 (B) 6

(C) 9 (D) 12

27. dksbZ /u okf"kZd pØof̀¼ C;kt dh nj ls 2 o"kZ esa ̀ 500

vkSj 3 o"kZ esa ` 600 gks tkrk gS] rks okf"kZd C;kt dh njgS&(A) 6% (B) 20%(C) 8% (D) 10%

28. ;fn (b + c), (c + a), (a + b) lekukUrj Js.kh esa gS] rks

(A) b = a + c (B) 2

cba

(C) 2

bac

(D)

2

cab

29. ;fn sec– cos= 3

2, tgk¡ /ukRed U;wudks.k gS

secdk eku Kkr djsaA

(A) 0 (B)1

2

(C) 1 (D) 2

30. nks jsyxkfM+;ka] ftudh xfr dk vuqikr 3 % 4 gS] lkekukUrjiVfj;ksa ij foijhr fn'kk ls pyrs gq, ,d nwljs dh vksj vkjgh gSaA vxj izR;sd jsyxkM+h 3 lsds.M esa ,d VsyxzkiQ iksLVdks ikj djrh gSa rks ,d&nwljs dks ikj djus esa mUgsa fdruk le;yxsxk\(A) 3 lsds.M (B) 4 lsds.M(C) 7 lsd.M (D) 21 lsds.M

31. ;fn fdlh leyEc prqHkqZt dk {ks=kiQy 250 oxZ ehVjrFkk nksuksa lekukarj Hkqtk,¡ ozQe'k% 15 ehVj ,oa 10 ehVjyach gS] rks lekukarj Hkqtkvksa ds chp dh nwjh gS(A) 15 ehVj (B) 17 ehVj(C) 20 ehVj (D) 12 ehVj

32. ,d nqdkunkj oLrq dk vafdr ewY; ̀ 60 j[krk gS vkSj bls15% dh NwV ij csprk gSA og ̀ 9 ewY; dk ,d fxÝV Hkhnsrk gSA ;fn mls 20% dk equkiQk gksrk gS rks oLrq d Ø;ewY; gS&(A) ` 22 (B) ` 32

(C) ` 40 (D) ` 35

33. ,d jsyxkM+h ?kaVs ds izFke pkSFkkbZ le; esa 6 fd- eh- dhnwjh r; djrh gS] nwljs pkSFkkbZ le; esa 8 fd-eh- vkSj rhljspkSFkkbZ le; esa 40 fd- eh- dh nwjh r; djrh gS] rks iwjh;k=kk ds nkSjku mldh vkSlr xfr izfr ?kaVs fdruh gS \(A) 72 fd-eh-@?kaVk (B) 18 fd-eh-@?kaVk(C) 77.33 fd-eh-@?kaVk (D) 78.5 fd-eh-@?kaVk

34. ;fn nks vadksa dh fdlh la[;k dks mlds vadksa ds ;ksx lsfoHkkftr fd;k tkrk gS] rks HkkxiQy 6 vkSj 'ks"k 3 vkrk gSA;fn vadksa dks mYVk dj fn;k tk, vkSj ifj.kkeh la[;k dksvadksa ds ;ksx ls foHkkftr fd;k tk,] rks HkkxiQy 4 vkSj 'ks"k9 vkrk gSA la[;k ds vadksa dk ;ksx gS&(A) 4 (B) 6

(C) 9 (D) 12

Page 5: PAPER - I (QUANTITATIVE ABILITIES) iz'u i=k & …€¦ · 888 888 888 888 888 888 ... If f(x)= 4x3 – 2x2 + 5x – 8 is divided by (x – 2) then the remainder is (A) 26 (B) 16 (C)

Ph: 09555108888, 09555208888 5

2007, OUTRAM LINES, 1ST FLOOR, OPPOSITE MUKHERJEE NAGAR POLICE STATION, DELHI-110009

35. The average age of the Indian football teamplayers is 30 years. The average age of 5 ofthe players is 29 years and that of anotherset of 5 players, totally different from the firstfive, is 27 years. If it is the captain who wasnot included in either of these two gorups,then find the age of the captain(A) 75 years (B) 55 years(C) 50 years (D) 58 years

36. Q and R complete a piece of work in 12 days,R and P can do it in 8 days. All the threecan do it in 6 days. P and Q together cancomplete it in :

(A) 4 days (B) 12 days

(C) 8 days (D) 10 days37. In the figure given below AB and CD are

parallel. If BAF = 98º and AFC = 144º, thenECD equals

A B

CD

F

E

98º

144º

(A) 62º (B) 64º(C) 82º (D) 84º

38. A dealer allows his customers a discount of25% and still gains 25%. If an article costs` 1440 to the dealer, then its marked priceis:

(A) ` 1500 (B) ` 1850

(C) ` 2400 (D) ` 256039. Two pipes A and B can fill a cistern in 12

and 15 minutes respectively. Both areopened together but at the end of 4 minutes,A is turned off. In how many more minuteswill B fill the cistern ?

(A) 7 minutes (B) 71

2 minutes

(C) 8 minutes (D) 6 minutes40. A triangle is formed by joining mid points

of sides of a triangle and an another triangleis formed again by joining mid points of itssides. The ratio of area of this triangle tothe area of original triangle is(A) 1 : 4 (B) 1 : 8(C) 1 : 16 (D) 1 : 64

41. In a race of 600 metres, Sonu beats Monuby 60 metres and in a race of 500 metres,Monu beats Bablu by 25 metres. By howmany metres will Sonu beat Bablu in a 400metre race ?(A) 48 m (B) 52 m(C) 56 m (D) 58 m

35. Hkkjrh; iQqVcky Vhe ds f[kykfM+;ks dh vkSlr vk;q 30

o"kZ gSA muesa ls 5 f[kykfM+;ksa dh vkSlr vk;q 29 o"kZ gS,oa igys 5 f[kykfM+;ksa ls vyx nwljs 5 f[kykfM+;ksa dslewg dh vkSlr vk;q 27 o"kZ gSA ;fn Vhe dk dIRkkumu nksuksa esa ls fdlh Hkh lewg esa 'kkfey ugha Fkk rksdIrku dh vk;q gS &(A) 75 o"kZ (B) 55 o"kZ(C) 50 o"kZ (D) 58 o"kZ

36. Q vkSj R ,d dke dks 12 fnuksa esa iwjk djrk gS] R rFkk Pbls 8 fnuksa esa dj ldrk gSA lHkh rhuksa feydj bl dke dks6 fnuksa esa dj ldrk gSA P vkSj Q feydj bl dke dks djldrs gS&(A) 4 fnu esa (B) 12 fnu esa(C) 8 fnu esa (D) 10 fnu esa

37. uhps fn, x, fp=k esas AB rFkk CD lekUrj gSA ;fn BAF

= 98º rFkk AFC = 144º gks] rks ECD dk ekucrk,¡A

A B

CD

F

E

98º

144º

(A) 62º (B) 64º(C) 82º (D) 84º

38. ,d foØsrk vius xzkgdksa dks 25% dh NwV nsrk gS vkSj fiQjHkh 25% dk ykHk dekrk gSA ;fn oLrq dh ykxr foØsrk dks` 1440 vkrh gS] rks mldk vafdr eqY; gS :(A) ` 1500 (B) ` 1850(C) ` 2400 (D) ` 2560

39. nks uy A vkSj B ,d Vadh dks Øe'k% 12 vkSj 15 feuV esaHkj ldrk gSA nksuksa dks ,d lkFk [kksyk tkrk gS ysfdu 4feuV ds ckn A dks can dj fn;k tkrk gSA Vadh dks fdrusvfrfjDr feuV ckn uy B Hkj nsxk ?

(A) 7 feuV (B) 71

2 feuV

(C) 8 feuV (D) 6 feuV40. ,d f=kHkqt ds Hkqtkvksa ds eè; fcUnq dks feykdj ,d f=kHkqt

cuk;k x;k rFkk blds Hkqtkvksa ds eè; fcUnqvksa dks feykdj,d u;k f=kHkqt cuk;k x;kA bl f=kHkqt dk okLrfod f=kHkqtls {ks=kiQy dk vuqikr D;k gksxk ?(A) 1 : 4 (B) 1 : 8(C) 1 : 16 (D) 1 : 64

41. 600 eh- dh nkSM+ esa] lksuw] eksuw dks 60 ehVj ls ijkftrdj nsrk gS rFkk 500 eh- dh nkSM+ esa eksuw] ccyw dks 25

ehVj ls ijkftr dj nsrk gS] rks 400 eh- dh nkSM+ esalksuw] ccyw dks fdrus ehVj ls ijkftr djsxk \(A) 48 eh- (B) 52 eh-(C) 56 eh- (D) 58 eh-

Page 6: PAPER - I (QUANTITATIVE ABILITIES) iz'u i=k & …€¦ · 888 888 888 888 888 888 ... If f(x)= 4x3 – 2x2 + 5x – 8 is divided by (x – 2) then the remainder is (A) 26 (B) 16 (C)

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42. If a sum of ̀ 1170 is distributed among A, B

and C in the ratio 2 : 3: 4, by mistake, in

place of 1 1 1

: :2 3 4

, then who benefited the

most and by how much ?

(A) A, ̀ 280 (B) B, ̀ 220

(C) C, ` 250 (D) B, ̀ 270

43. If 1 + 10 + 10² + ............. upto n terms =

9

110 n

, then the sum of the series 4 + 44 +

444 + ......... upto n term is

(A) 9

4)110(

9

4 nn (B) 9

4)110(

81

4 nn

(C) 9

4)110(

81

40 nn (D) 9

4)110(

9

40 nn

44. The ratio between the speeds of two trains

is 8 : 9. Second train covers 360 km in 4

hours. Distance covered by first train in 6hours is:

(A) 240 kms (B) 480 kms

(C) 120 kms (D) 60 kms

45. The length of the intercept made by theequation 9x - 12y = 108 between the two

axes is

(A) 15 units (B) 9 units

(C) 12 units (D) 18 units

46. If a = 2 3 , then the value of

6 4 2

3

1a a a

a

is:

(A) 56 (B) 45

(C) 65 (D) 42

47. How much pure alcohol has to be added to400 ml of a solution containing 15% of

alcohol to change the concentration of

alcohol in the mixture to 32%?

(A) 60 ml (B) 100 ml

(B) 128 ml (D) 68 ml

48. A boy can swim in still water at a speed of

20 km/hr. If the speed of the current is 5km/hr, then the boy could swim 100 kms

(A) Upstream in 4 hours

(B) Downstream in 12 hours

(C) Upstream in 12 hours

(D) Downstream in 4 hours

49. The numerical value of

22

2 tan1

5cos4

cosec

9

is :

(A) 4 (B) 5

(C) 9 (D) 1

42. ;fn ` 1170 dh jkf'k A, B rFkk C ds chp xyrh ls

1 1 1: :

2 3 4ds LFkku ij 2 : 3 : 4 ds vuqikr esa forfjr dj

nh xbZ gks] rks fdls lokZf/d ykHk gksxk vkSj fdruk ?(A) A, ̀ 280 (B) B, ̀ 220

(C) C, ` 250 (D) B, ̀ 270

43. ;fn 1 + 10 + 10² + ............. n inksa rd = 9

110 n

,

rks 4 + 44 + 444 + ......... n inksa rd] dk eku gS &

(A) 9

4)110(

9

4 nn (B) 9

4)110(

81

4 nn

(C) 9

4)110(

81

40 nn (D) 9

4)110(

9

40 nn

44. nks jsyxkM+h ds pky dk vuqikr 8 : 9 gSA nwljh jsyxkM+h 360

fdeh- dh nwj 4 ?kaVs esa r; djrh gSA igyh jsyxkM+h }kjk 6?kaVs esa r; dh xbZ nwjh gS(A) 240 fdeh (B) 480 fdeh(C) 120 fdeh (D) 60 fdeh

45. lehdj.k 9x - 12y = 108 }kjk nksuksas v{kks ds chp cusizfr{ksi dh yackbZ gS&(A) 15 bdkbZ (B) 9 bdkbZ(C) 12 bdkbZ (D) 18 bdkbZ

46. ;fn a = 2 3 gks] rks 6 4 2

3

1a a a

a

dk eku gS&

(A) 56 (B) 45

(C) 65 (D) 42

47. 15» lkanzrk okys vYdksgy ds 400 feúyhú feJ.k esafdruh ek=kk esa 'kq¼ vYdksgy feyk;k tk, fd u, feJ.kesa vYdksgy dh lkanzrk 32» gks tk,\(A) 60 feúyhú (B) 100feúyhú(B) 128 feúyhú (D) 68 feúyhú

48. ,d yM+dk 'kkar ty esa 20 fdeh@?kaVk dh nj ls rSj ldrkgSA ;fn /kjk dh xfr 5 fdeh@?kaVk gS] rks yM+dk 100 fdehrSj ldrk gS&(A) /kjk ds fo:¼ 4 ?kaVs esa(B) /kjk dh fn'kk esa 12 ?kaVs esa(C) /kjk ds fo:¼ 12 ?kaVs esa(D) /kjk dh fn'kk esa 4 ?kaVs esa

49.

2

22 tan1

5cos4

cosec

9

dk la[;kRed eku

fdruk gS \(A) 4 (B) 5

(C) 9 (D) 1

Page 7: PAPER - I (QUANTITATIVE ABILITIES) iz'u i=k & …€¦ · 888 888 888 888 888 888 ... If f(x)= 4x3 – 2x2 + 5x – 8 is divided by (x – 2) then the remainder is (A) 26 (B) 16 (C)

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50. In a classroom there are certain numberof benches. If 6 students are made to sit ona bench, then to accommodate all of them,one more bench is needed. However, if 7students are made to sit on a bench, then,after accomodating all of them, space for 5students is left. What is the total numberof students in the class?(A) 30 (B) 42(C) 72 (D) 56

51. If the length of the parallelopiped is 3 timesof its breadth and 6 times of its height andits volume is 768000 cm³, then its totalsurface area will be :

(A) 6400 cm² (B) 64000 cm²(C) 3200 cm² (D) 32000 cm²

52. A milkman bought 15 kg of milk and mixed3 kg of water in it. If the price per kg of themixture becomes ` 22, what is the costprice of the milk per kg ?

(A) ` 28.00 (B) ` 26.40(C) ` 24.00 (D) ` 22.60

53. If cos sin tan cot ,3 3 6 3

x x then find

the value of x.

(A) –1 (B) 0

(C) 1 (D) 3 3

54. If y xx y then

y

xx

y

is equal to:

(A)x

yx (B) 1y

xy

(C)y

xx (D) 1x

yx

55. If x + y = 14 and x² + y² = 106, then find the

value of 1 1

x y

(A)5

14(B)

45

14

(C)9

14(D)

14

4556. In the given figure AB ||QR. Find the length

of PB.

P

Q R

3 cm

9 cm

A B

9 cm

(A) 2 cms (B) 3 cms

(C) 2.5 cms (D) 4 cms

50. ,d d{kk esa dqN csap gSaA ;fn izR;sd csap ij 6 fo|kFkhZ cSBrsgSa] rks lHkh fo|kfFkZ;ksa dks cSBus gsrq ,d vkSj csap dhvko';drk gksrh gS vkSj ;fn izR;sd csap ij 7 fo|kFkhZ cSBrsgSa] rks mu lHkh fo|kfFkZ;ksa dks cSBus ds ckn 5 vkSj fo|kfFkZ;ksadks cSBkus dh txg [kkyh jg tkrh gS] rks crk,¡ fd ml d{kkesa fdrus Nk=k gSa\(A) 30 (B) 42

(C) 72 (D) 56

51. ;fn ,d ?kukHk dk yEckbZ] bldh pkSM+kbZ dk 3 xquk vkSjm¡QpkbZ dk 6 xquk gS rFkk bldk vk;ru 768000 ?ku lseh-gks] rks bldk dqy i"̀Bh; {ks=kiQy gksxk&(A) 6400 oxZ lseh (B) 64000 oxZ lseh(C) 3200 oxZ lseh (D) 32000 oxZ lseh

52. ,d nqf/;k 15 fdxzk nw/ [kjhnrk gS rFkk mlesa 3 fdxzk ikuhfeyk nsrk gSA ;fn feJ.k ds izfr fdxzk dk eqY; ̀ 22 gks x;kgks rks nw/ ds izfr fdxzk dk Ø; eqY; D;k gS ?(A) ` 28.00 (B) ` 26.40

(C) ` 24.00 (D) ` 22.60

53. ;fn cos sin tan cot ,3 3 6 3

x x rks x dk eku

Kkr djsaA(A) –1 (B) 0

(C) 1 (D) 3 3

54. ;fn y xx y gS] rks

y

xx

y

cjkcj gS&

(A)x

yx (B) 1y

xy

(C)y

xx (D) 1x

yx

55. ;fn x + y = 14 rFkk x² + y² = 106 gS] rks 1 1

x y dk

eku Kkr djsaA

(A)5

14(B)

45

14

(C)9

14(D)

14

45

56. fn, x, fp=k esa AB ||QR gSA. PB dh yEckbZ Kkr djsaA

P

Q R

3 lseh

9 lseh

A B

9 lseh

(A) 2 lseh (B) 3 lseh(C) 2.5 lseh (D) 4 lseh

Page 8: PAPER - I (QUANTITATIVE ABILITIES) iz'u i=k & …€¦ · 888 888 888 888 888 888 ... If f(x)= 4x3 – 2x2 + 5x – 8 is divided by (x – 2) then the remainder is (A) 26 (B) 16 (C)

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57. The average of 1²,2²,3², 4², 5², 6², 7², 8², 9²,10² is :

(A) 18 (B) 38.5

(C) 38 (D) 48.558. Deepak buys two chairs of ` 900. By selling

one at 4

5 of its cost price and the other at

5

4 of its cost price he makes a profit of ` 90

on the whole transaction. Find the cost ofthe lower priced chair.(A) ` 360 (B) ` 400(C) ` 420 (D) 300

59. A BMW is chasing a Maruti which is 5 kmsahead. Their respective speeds are 90 km/hr and 60 km/hr. After how many minutesthe BMW will catch the Maruti ?

(A) 18 minutes (B) 20 minutes

(C) 10 minutes (D) 25 minutes

60. 300 grams of sugar solution has 40% ofsugar in it. How much sugar should beadded to make it 50% in the solution?

(A) 10 gms (B) 60 gms

(C) 80 gms (D) 40 gms61. If a shopkeeper wants to give 20% discount

on a toy, he has to sell it for ` 300. If hesells it at ` 405. then his gain percent is

(A) 4% (B) 6%(C) 5% (D) 8%

62. A and B have their monthly incomes in theratio 8 : 5, while their monthlyexpenditures are in the ratio 5 : 3. If theyhave saved ` 12,000 and ` 10,000 monthlyrespectively, then the difference in theirmonthly incomes is

(A) ` 42,000 (B) ` 46,000

(C) ` 52,000 (D) ̀ 44,000

63. Three Science classes A, B and C take aLife Science test. The average score of classA is 83. The average score of class B is 76.The average score of class C is 85. Theaverage score of class A and B is 79 andaverage score of class B and C is 81. Thenthe average score of classes A, B and C is(A) 81 (B) 80.5(C) 80 (D) 81.5

64. There is a number consisting of two digits,the digit at units place is twice that of tensplace and if 2 be subtracted from the sumof the digits, the difference is equal to 1/6th

of the number. The number is(A) 23 (B) 26(C) 25 (D) 24

57. 1²,2²,3², 4², 5², 6², 7², 8², 9², 10² dk vkSlr KkrdjsaA(A) 18 (B) 38.5

(C) 38 (D) 48.5

58. nhid nks dqlhZ;ksa dks ̀ 900 ij [kjhnrk gSA igys dks mlds

Ø; ewY; dk 4

5 rFkk nwljs dks Ø; ewY; dk

5

4 ij cspk

x;k bl izdkj mlus dqy O;kikj esa ̀ 90 dk ykHk dek;kA

de eqY; okys dqlhZ dk Ø; eqY; crk,¡A(A) ` 360 (B) ` 400

(C) ` 420 (D) 300

59. ,d BMW 5 fdeh vkxs py jgh ,d ek:rh dk ihNk dj

jgh gSA mudh pky Øe'k% 90 fdeh@?kaVk rFkk 60 fdeh@?kaVk

gS fdrus feuV ds ckn BMW, ek:rh dks idM+ ysxk ?

(A) 18 feuV (B) 20 feuV

(C) 10 feuV (D) 25 feuV

60. 300 xzke phuh ds ?kksy esa 40% phuh gSA ?kksy dh lkanzrk

50% djus ds fy, feyk, x, phuh dh ek=kk D;k gS ?

(A) 10 xzke (B) 60 xzke

(C) 80 xzke (D) 40 xzke

61. ;fn ,d nqdkunkj f[kykSus ij 20% dh NwV nsuk pkgrk gS]

rks mls og ̀ 300 esa cspuk iM+sxkA ;fn og mls ̀ 405 esa

csprk gS] rks mldk ykHk dk izfr'kr fdruk gksxk \

(A) 4% (B) 6%

(C) 5% (D) 8%

62. A vkSj B dk ekfld vk; 8 : 5 vuqikr esa gS tcfd mudk

ekfld O;; 5 : 3 vuqikr esa gSA ;fn mUgksaus Øe'k% `

12,000 rFkk ` 10,000 dh ekfld cpr dh gks] rks

mudh ekfld vk; esa varj fdruk gS ?(A) ` 42,000 (B) ` 46,000

(C) ` 52,000 (D) ̀ 44,000

63. rhu foKku d{kk,¡ A, B rFkk C thou&foKku dh ijh{kk nsrh

gSA d{kk A dk vkSlr vad 83 gSaA d{kk B dk vkSlr vad

76 gSA d{kk C dk vkSlr vad 85 gSaA d{kk A vkSj B ds

vkSlr vad 79 vkSj d{kk B vkSj C ds vkSlr vad 81 gSA

d{kk A, B vkSj C ds vkSlr vad fdrus gSa ?(A) 81 (B) 80.5

(C) 80 (D) 81.5

64. nks vadksa dh ,d la[;k esa bdkbZ ds LFkku okyk vad ngkbZ

ds LFkku okys vad ls nqxuk gS vkSj ;fn mu nksuksa vadksa ds

;ksx esa ls 2 ?kVk;k tk,] rks varj ml la[;k ds 1/6 ds

cjkcj gSA og la[;k D;k gS\(A) 23 (B) 26

(C) 25 (D) 24

Page 9: PAPER - I (QUANTITATIVE ABILITIES) iz'u i=k & …€¦ · 888 888 888 888 888 888 ... If f(x)= 4x3 – 2x2 + 5x – 8 is divided by (x – 2) then the remainder is (A) 26 (B) 16 (C)

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65. The value ofcot41°. cot42°. cot43°. cot44°. cot45°. cot46°.cot47°. cot48°. cot49° is&(A) 1 (B) 0

(C)3

2(D)

1

2

66. Quadrilateral ABCD circumscribes a circle.If the lengths of AB, BC, CD are 7 cm, 8.5cm and 9.2 cm respectively, then the length(in cm) of DA is(A) 10.7 (B) 16.2(C) 7.7 (D) 7.2

67. Average of n numbers is a. The first numberis increased by 2, second one is increasedby 4, the third one is increased by 8 and soon. The average of the new numbers is

(A)2 1

2n

an

(B)

2 1n

an

(C)12 1n

an

(D)

12n

an

68. P and Q together can do a job in 6 days. Qand R can finish the same job in 60/7 days.P started the work and worked for 3 days. Qand R continued for 6 days. Then thedifference of days in which R and P cancomplete the job is(A) 10 (B) 15(C) 8 (D) 12

69. If a man walks at the rate of 5 km/hour,he misses a train by 7 minutes. However ifhe walks at the rate of 6 km/hour, hereaches the station 5 minutes before thearrival of the train. The distance coveredby him to reach the station is(A) 6 km (B) 6.25 km(C) 7 km (D) 4 km

70. Let x be the smallest number, which whenadded to 2000 makes the resulting numberdivisible by 12, 16, 18 and 21. The sum ofthe digits of x is(A) 4 (B) 5(C) 7 (D) 6

71. If sinA + sin²A = 1, then the value of cos²A+ cos4A is

(A) 1 (B) 12

3

(C)1

2(D) 2

72.

2 2 2 2 26 7 8 9 10

7 4 3 4 2 3

is equal to

(A) 366 (B) 305(C) 355 (D) 330

65. cot41°. cot42°. cot43°. cot44°. cot45°. cot46°.

cot47°. cot48°. cot49° dk eku fdruk gksxk\(A) 1 (B) 0

(C)3

2(D)

1

2

66. ,d prqHkqZt ABCD fdlh oÙ̀k dks cká Li'kZ djrh gSA ;fnAB, BC, CD dh yackbZ Øe'k% 7 lseh, 8.5 lseh rFkk9.2 lseh gS] rks DA dh yackbZ (lseh esa) fdruh gksxh ?(A) 10.7 (B) 16.2(C) 7.7 (D) 7.2

67. n la[;kvksa dk vkSlr a gSA igyh la[;k esa 2 tksM+ fn;k tkrkgS] nwljh la[;k esa 4 tksM+ fn;k tkrk gS vkSj rhljh la[;k esa8 tksM+ fn;k tkrk gS vkSj blh izdkj vkxs dh la[;kvksa dksHkh c<+k;k tkrk gSA ubZ la[;kvksa dk vkSlr D;k gS ?

(A)2 1

2n

an

(B)

2 1n

an

(C)12 1n

an

(D)

12n

an

68. P vkSj Q feydj ,d dk;Z dks 6 fnuksa esa dj ldrs gSaA QvkSj R mlh dk;Z dks 60/7 fnuksa esa dj ldrs gSaA P us dk;ZvkjaHk fd;k vkSj 3 fnuksa rd dk;Z fd;kA Q vkSj R 6 fnuksard dk;Z djrs jgsA R vkSj P }kjk ml dk;Z dks iwjk djus esafdrus fnuksa dk varj gksxk ?(A) 10 (B) 15(C) 8 (D) 12

69. ;fn ,d O;fDr 5 fdeh@?kaVk dh xfr ls pyrk gS rks mldhxkM+h 7 feuV igys NwV tkrh gS ;fn og 6 fdeh@?kaVk dh xfrls pyrk gS rks og xkM+h ds vkxeu le; ls 5 feuV igysLVs'ku igq¡p tkrk gSA LVs'ku igq¡pus ds fy, mlus fdruh nwjhr; dh ?(A) 6 fdeh (B) 6.25 fdeh(C) 7 fdeh (D) 4 fdeh

70. eku ysa fd x ,d U;wure la[;k gS ftls tc 2000 esas tksM+ktk,] rks ifj.kkeh la[;k 12, 16, 18 vkSj 21 ls foHkkftrgks tkrh gSA x ds vadksa dk ;ksx gS(A) 4 (B) 5(C) 7 (D) 6

71. ;fn sinA + sin²A = 1, rks cos²A + cos4A dk ekugS&

(A) 1 (B) 12

3

(C)1

2(D) 2

72.

2 2 2 2 26 7 8 9 10

7 4 3 4 2 3

cjkcj gS &

(A) 366 (B) 305(C) 355 (D) 330

Page 10: PAPER - I (QUANTITATIVE ABILITIES) iz'u i=k & …€¦ · 888 888 888 888 888 888 ... If f(x)= 4x3 – 2x2 + 5x – 8 is divided by (x – 2) then the remainder is (A) 26 (B) 16 (C)

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73. What is the remainder when3x3 – 7x2 + 11x + 1 is divided by (x+ 3) ?

(A) 38 (B) –11

(C) –176 (D) 196

74. If x * y = (x + 3)2 (y – 1), then the value of 5*4 is(A) 192 (B) 182

(C) 180 (D) 172

75. The value 4 8432 64 2 is

(A) 12 (B) 18

(C) 16 (D) 24

76. The radius of a wheel is 21 cm. How muchrevolution it takes to cover a distance of

924 m ?

(A) 500 (B) 600

(C) 700 (D) 80077. The average of x

1 x

2 and x

3 is 14. Twice the

sum of x2 and x

3 is 50. What is the value of

x1 ?

(A) 20 (B) 22(C) 16 (D) 17

78. A number leaves remainder 44 when divided

by 52. If the number is divided by 13 then

remainder will be(A) 2 (B) 3

(C) 4 (D) 5

79. Two trains having length 105 m and 90 m

are approaching each other on two parallel

tracks at a speed of 45 km/hr and 72 km/hr respectively. How much time it take to

cross each other ?

(A) 5 sec (B) 6 sec

(C) 7 sec (D) 8 sec80. If the rate of interest is 10% per annum

and is compounded half yearly, the principal

of ` 400 in 3/2 year will amount to

(A) ` 463.00 (B) ` 463.05(C) ` 463.15 (D) ` 463.20

81. By selling a fan for ` 1200, Sanjay loses

`200. At what price must he sell it to gain

10%?(A) 1500 (B) 1520

(C) 1560 (D) 1540

82. If the selling price of 10 books is equal tothe cost price of 12 books, the gain percent

is:

(A) 20% (B) 18%

(C) 16% (D) 25%

83. If 7 3 5 7 3 5

3 5 3 5

= 5p q then what

are the value of p and q ?

(A) p = 0, q = 1 (B) p = 1, q = 0(C) p = 1, q = 1 (D) p = –1, q = –1

73. fdruk 'ks"k cpsxk tc 3x3 – 7x2 + 11x + 1 dks (x+ 3)

ls Hkkx fn;k tkrk gS ?(A) 38 (B) –11

(C) –176 (D) 196

74. ;fn x * y = (x + 3)2 (y – 1), rks 5*4 dk eku gS(A) 192 (B) 182

(C) 180 (D) 172

75. 4 8432 64 2 dk eku gS&

(A) 12 (B) 18

(C) 16 (D) 24

76. ,d pDds dh f=kT;k 21 lseh gSA 924 eh- dh nwjh r; djusesa og fdruk pDdj yxk,xk ?(A) 500 (B) 600

(C) 700 (D) 800

77. x1 x

2 rFkk x

3 dk vkSlr 14 gSA x

2 vkSj x

3 ds ;ksxiQy dk

nksxq.kk 50 ds cjkcj gSA x1 dk eku Kkr djsaA

(A) 20 (B) 22

(C) 16 (D) 17

78. fdlh la[;k dks 52 ls Hkkx nsus ij 44 'ks"k cprk gSA ;fnml la[;k dks 13 ls Hkkx fn;k tk, rks fdruk 'ks"k cpsxk(A) 2 (B) 3

(C) 4 (D) 5

79. 105 eh vkSj 90 eh- yEch nks Vªsusa nks lekukUrj iVfj;ksa ijØe'k% 45 fdeh@?kaVs vkSj 72 fdeh@?kaVs dh jÝrkj ls ,dnwljs dh rjiQ ls vk jgh gSaA ,d nwljs dks ikj djus esa bUgsafdruk le; yxsxk ?(A) 5 lsds.M (B) 6 lsds.M(C) 7 lsds.M (D) 8 lsds.M

80. 10% okf"kZd C;kt dh nj ls (C;kt v/Z okf"kZd la;ksftrgksrk gS) ewy/u ̀ 400 dk 3/2 o"kZ esa fdruk feJ/u cutk,xk ?(A) ` 463.00 (B) ` 463.05

(C) ` 463.15 (D) ` 463.20

81. ,d ia[ks dks ` 1200 esa cspdj lat; ` 200 dh gkuhdjrk gSA fdrus esa cspus ls mls 10% dk ykHk gksxk ?(A) 1500 (B) 1520

(C) 1560 (D) 1540

82. ;fn 10 iqLrdksa dk foØ; ewY; 12 iqLrdksa ds Ø; ewY; dscjkcj gS] rks ykHk izfr'kr fdruk gS ?(A) 20% (B) 18%

(C) 16% (D) 25%

83. ;fn 7 3 5 7 3 5

3 5 3 5

= 5p q rks p vkSj q dk

eku gS&(A) p = 0, q = 1 (B) p = 1, q = 0

(C) p = 1, q = 1 (D) p = –1, q = –1

Page 11: PAPER - I (QUANTITATIVE ABILITIES) iz'u i=k & …€¦ · 888 888 888 888 888 888 ... If f(x)= 4x3 – 2x2 + 5x – 8 is divided by (x – 2) then the remainder is (A) 26 (B) 16 (C)

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84. If (5a – 2b) : (2a + b) = 7 : 10 then what is a: b ?(A) 2 : 3 (B) 3 : 2(C) 3 : 4 (D) 1 : 7

85. Three bells toll at intervals of 9,12, and 15minutes respectively. All the three beganto toll at 8 A.M. At what time will they tolltogether again ?(A) 8.45 A.M. (B) 10.30 A.M.(C) 11.00 A.M. (D) 1.30 P.M.

86. A Photograph of sizes 35 cm by 22 cm ismounted onto a frame of externaldimension 45 cm by 30 cm. Find the areaof the border surrounding the photograph.(A) 540 sq. cm (B) 620 sq. cm(C) 580 sq. cm (D) 600 sq. cm

87. Find the 4th proportionate of 4, 7 and 12.(A) 21 (B) 20(C) 35 (D) 25

88. 20 women do a work in 16 days and 16 mendo the same work in 15 days, what is thework efficiency ratio of 1 man and 1 woman?(A) 3 : 4 (B) 4 : 3(C) 5 : 3 (D) None of these

89. Find the value of x in the equation

4 413 4 – 3 – 6x

(A) 3 (B) 4(C) 6 (D) 7

90. Due to reduction of 1

83

% in price of suger a

person is able to buy 1 kg more in ` 120.Find the reduced price of sugar.(A) ` 16 (B) ̀ 10(C) ` 8.5 (D) ̀ 7.5

91. The ratio of inradius and circumradius ofan equilateral triangle is 1 : 2. Find the ratioof the areas of two circles ?(A) 3 : 4 (B) 1 : 4

(C) 3 : 2 (D) 6 : 5

92. If the perimeter of a circle is equal to thatof a square, then the ratio of their areas is(A) 22 : 7 (B) 7 : 22(C) 14 : 11 (D) 11 : 7

93. Two men are running in the same direction

with a speed of 6km per hour and 1

72

km

per hour. A train running in the same

direction crosses them in 5sec and 1

52

sec

respectively. The length and the speed ofthe train are respectively.(A) 22.92m (app.) and 22 km/hour.(B) 22m (app.) and 22.5 km/hour.(C) 22.90m (app.) and 20.5 km/hour.(D) 22.92m (app.) and 22.5 km/hour.

84. ;fn (5a – 2b) : (2a + b) = 7 : 10 rks a : b D;k gksxk ?(A) 2 : 3 (B) 3 : 2

(C) 3 : 4 (D) 1 : 7

85. 3 ?kafV;ka Øe'k% 9,12, rFkk 15 feuV ds varjky ij ctrhgSaA lHkh rhuksa izkr% 8 cts ctuk izkjaHk djrh gSaA fdrus ctsos rhuksa fiQj ,d lkFk ctsaxh ?(A) 8.45 A.M. (B) 10.30 A.M.(C) 11.00 A.M. (D) 1.30 P.M.

86. 35 lseh × 22 lseh vkdkj dh ,d rLohj dks 45 lseh ×30 lseh (ckgjh) vk;ke ds ,d izQse esa yxk;k tkrk gSA mlrLohj dh pkjksa rjiQ ckWMZj dk {ks=kiQy fdruk gS ?(A) 540 oxZ lseh (B) 620 oxZ lseh(C) 580 oxZ lseh (D) 600 oxZ lseh

87. 4, 7 rFkk 12 dk pkSFkk lekuqikrh fudkysaA(A) 21 (B) 20(C) 35 (D) 25

88. 20 efgyk ,d dke dks 16 fnuksa esa djrh gS vkSj mlh dkedks 16 iq#"k 15 fnuksa esa djrs gSaA 1 iq#"k vkSj 1 efgyk dkdk;Z {kerk dk vuqikr D;k gS ?(A) 3 : 4 (B) 4 : 3

(C) 5 : 3 (D) buesa ls dksbZ ugha

89. lehdj.k 4 413 4 – 3 – 6x esa x dk eku fudkysa

(A) 3 (B) 4(C) 6 (D) 7

90. phuh ds eqY; esa 1

83

% deh ds dkj.k ,d O;fDr `

120 eas 1 fdxzk phuh vf/d [kjhn ikrk gSA phuh dk?kVk gqvk eqY; crk,¡A(A) ` 16 (B) ̀ 10(C) ` 8.5 (D) ̀ 7.5

91. ,d leckgq f=kHkqt ds var%f=kT;k vkSj ifjf=kT;k dkvuqikr 1 : 2 gS] rks nksuksa o`Ùkksa ds {ks=kiQyksa dk vuqikrcrk,¡A(A) 3 : 4 (B) 1 : 4

(C) 3 : 2 (D) 6 : 5

92. ;fn ,d o`Ùk dh ifjfefr ,d oxZ dh ifjfefr ds cjkcj gS]rks muds {ks=kiQy dk vuqikr D;k gS ?(A) 22 : 7 (B) 7 : 22(C) 14 : 11 (D) 11 : 7

93. nks O;fDr ,d gh fn'kk esa 6 fdehú izfr ?kaVs ,oa 1

72

fdúehú izfr ?kaVs dh xfr ls py jgs gSA leku fn'kk esa tkrhgqbZ ,d jsyxkM+h mu nks O;fDr;ksa dks Øe'k% 5 lsds.M ,oa

15

2 lsds.M esa ikj dj tkrh gS rks ml jsyxkM+h dh yEckbZ

,oa xfr Øe'k% gS&(A) 22.92 ehú yxHkx vkSj 22 fdúehú@?kaVk(B) 22 ehú yxHkx vkSj 22.5 fdúehú@?kaVk(C) 22.90 ehú yxHkx vkSj 20.5 fdúehú@?kaVk(D) 22.92 ehú yxHkx vkSj22.5 fdúehú@?kaVk

Page 12: PAPER - I (QUANTITATIVE ABILITIES) iz'u i=k & …€¦ · 888 888 888 888 888 888 ... If f(x)= 4x3 – 2x2 + 5x – 8 is divided by (x – 2) then the remainder is (A) 26 (B) 16 (C)

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Directions (94 - 97) : The following graphs show

the distribution of workers of different

categories A to D in Retail Sector and

Insurances Sector.

D 40º

C 80º

B 90º

A 150º

D 70º

C 50º

B 80º

A 160º

A

B

C

D

A

B

C

D

Insurance Sector

Retail Sector

94. If there are 18000 workers each in both

Retail and Insurance Sector, then howmany workers of category A in Insurance

Sector are more than those in Retail

Sector?

(A) 5000 (B) 450

(C) 750 (D) 500

95. If the total number of workers of category B

in Retail Sector is 2200, how many workers

of category D are in Insurance Sector?

(A) 1600

(B) 1710

(C) 2100

(D) Can’t be determined

96. Workers of category D in Retail Sector is

what percent of the workers of category B

in Insurance Sector?

(A) 45%

(B) 40%

(C) 50%

(D) Can’t be determined

97. The ratio of the number of workers of Retail

Sector to that of Insurance Sector is 5:3,and the total number of category C workers

in Retail Sector is 1840. The number of

category A workers in Insurance Sector is:

(A) 2304 (B) 2208

(C) 2496 (D) Data Inadequate

funZs'k (94 - 97) : fuEufyf[kr js[kkfp=k Øe'k% [kqnjk {ks=k ,oa

chek {ks=k ds pkj Js.kh;ksa A ls D esa dke djus okys dkexkjksa

dk fooj.k n'kkZrs gSA

D 40º

C 80º

B 90º

A 150º

D 70º

C 50º

B 80º

A 160º

A

B

C

D

A

B

C

D

chek {ks=k

[kqnjk {ks=k

94. ;fn [kqnjk ,oa chek izR;sd {ks=k esa dkexkjksa dh la[;k

18000 gS] rks chek {ks=k dh Js.kh A esas dkexkjksa dh la[;k

[kqnjk {ks=k dh Js.kh A ds dkexkjksa dh la[;k ls fdruh vf/

d gS\

(A) 5000 (B) 450

(C) 750 (D) 500

95. ;fn [knqjk {ks=k dh Js.kh B esa dkexkjksa dh la[;k 2200 gS]

rks chek {ks=k dh Js.kh D esa dkexkjksa dh la[;k gS&

(A) 1600

(B) 1710

(C) 2100

(D) fu/kZfjr ugha fd;k tk ldrk

96. [kqnjk {ks=k dh Js.kh D esa dkexkjksa dh la[;k] chek {ks=k ds

Js.kh B ds dkexkjksa dh la[;k dk fdruk izfr'kr gS\

(A) 45%

(B) 40%

(C) 50%

(D) fu/kZfjr ugha fd;k tk ldrk

97. ;fn [kqnjk {ks=k ,oa chek {ks=k ds dqy dkexkjksa dk vuqikr

5 % 3 gS vkSj [kqnjk {ks=k ds Js.kh C esa dkexkjksa dh la[;k

1840 gS rks chek {ks=k ds Js.kh A esa dkexkjksa dh la[;k gS&

(A) 2304 (B) 2208

(C) 2496 (D) vkdM+s vi;kZIr gSaA

Page 13: PAPER - I (QUANTITATIVE ABILITIES) iz'u i=k & …€¦ · 888 888 888 888 888 888 ... If f(x)= 4x3 – 2x2 + 5x – 8 is divided by (x – 2) then the remainder is (A) 26 (B) 16 (C)

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funsZ'k (98-100) : fuEufyf[kr pkVZ dks i<+dj iz'uksa dsmÙkj nsaA'kgjksa dh dqy tula[;k esa ls >qXxh cLrh esa jgus okyksa dhizfr'kr tula[;k

35%

38%

30%

32%

26%

21%

10% 29.2

25.5

25.5

42.9

57.3

82.4

91.9

yk[k%

A

B

C

D

E

F

G

98. 'kgj A esa >qXxh cLrh esa jgus okyksa dh dqy tula[;k gS&(A) 30 yk[k (B) 31 yk[k(C) 32 yk[k (D) 33 yk[k

99. 'kgj G ,oa 'kgj F esa >qXxh cLrh esa jgus okyksa dh tula[;kvksadk varj gS&(A) 4.1 yk[k (B) 3.71 yk[k(C) 2.43 yk[k (D) 2 l yk[k

100. fdl 'kgj esa >qXxh cLrh esa jgus okyksa dh tula[;k lclsvf/d gS\(A) B (B) A(C) C (D) D

Direction (98-100): Study the following chartto answers these questions.

Slum Population as percent of totalpopulation

35%

38%

30%

32%

26%

21%

10% 29.2

25.5

25.5

42.9

57.3

82.4

91.9

Lakh%

A

B

C

D

E

F

G

98. The total slum population of city A isapproximately(A) 30 lakh (B) 31 lakh(C) 32 lakh (D) 33 lakh

99. The difference in the slum populations ofcity G and city F is -(A) 4.1 lakh (B) 3.71lakh(C) 2.43lakh (D) 2 lakh

100. The city with the highest slum populationis -(A) B (B) A

(C) C (D) D

Page 14: PAPER - I (QUANTITATIVE ABILITIES) iz'u i=k & …€¦ · 888 888 888 888 888 888 ... If f(x)= 4x3 – 2x2 + 5x – 8 is divided by (x – 2) then the remainder is (A) 26 (B) 16 (C)

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Rough