Ssc Mains (Maths) Mock Test-6

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ARITHMETICARITHMETICARITHMETICARITHMETICARITHMETIC

1. The value of 0.075

0.13 0.07

0.25 0.2

(243) (243)

(7) (49) (343)

×

× ×is:

(A)3

7(B)

7

3

(C)

31

7

(D)

22

7

2. The simplified form of

3 32 216 16

−

+

is:

(A) 0 (B)4097

64

(C) 1 (D)

16

4097

3. How many digits in all are required to writenumbers from 1 to 50?(A) 100 (B) 92

(C) 91 (D) 50

4. The digit in the unit's place of{(251)98 + (21)59

-

(106)100 + (705) 35

-

164 +259 } is:

(A) 1 (B) 4

(C) 5 (D) 6

5. It is given that (232 +1) is exactly divisible

by a certain number. Which of the following

is also definitly divisible by the same

number?

(A) 216+1 (B) 216

-

1

(C) 7 × 233 (D) 296+1

6. The sum of two numbers is 216 and their

HCF is 27. How many pairs of such number

are there?

(A) 1 (B) 2

(C) 3 (D) 0

7. What is the remainder when [(1931)221]428

is divided by 1932?

(A) 0 (B) 1

(C) 1930 (D) 1929

8. If the 4th term of an arithmetic progression

is 14 and the 12th term is 70, then the first

term is:

(A)

-

10 (B)

-

7

(C) + 7 (D) +10

9. When a ball bounces, it rises to

3

4

of the

height from which it fell. If the ball is dropped

from a height of 32m, how high will it rise

at the third bounce?

(A)

114

2

m (B)

113

2

m

(C) 13m (D) None of these

10. In a bag containing 12 blacks and 6 white

balls, two balls are choosen at random and

first one is found to be black. The probability

that the second one is also black is-

(A)

11

17

(B)

12

17

(C)

13

18

(D)

5

17

11. The average age of employees of a company

is 35 yr. If 5 new persons with an average

age of 32 years join the company, the

average of the entire company becomes 34

years. How many people were there in the

company initially?

(A) 10 (B) 12

(C) 8 (D) None of these

12. The bowling average of a cricketer was 12.4.

He improves his bowling average by 0.2

points when he takes 4 wickets for 26 runs

in his last match. The number of wickets

taken by him before the last match was

(A) 125 (B) 150

(C) 175 (D) 200

13. A train covers a distance of 3584 km in 2

days 8 hours. If it covers 1440km on the first

day and 1608 km on the second day, by how

much does the average speed of the train

for the remaining part of the journey differ

from that for the entire journey?

(A) 3 km/hour more

(B) 3 km/hour less

(C) 4 km/hour more

(D) 4 km/hour less

14. The height of Rakesh is in the same propor-

tion as the square root of his age. What will

be the height of Rakesh after 7 years, if he

is 4 ft tall at the age of 9 years?

(A)

ft1

53

(B) ft2

45

(C) ft2

23

(D) ft2

53

15. The ratio, in which rice costing ` 192 per

kg is to be mixed with rice costing

`

150

per kg so that the mixed rice when sold for

`

194.40 per kg, gives a profit of 20%, is

(A) 2 : 5 (B) 3 : 5

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

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vadxf.kr

1- 0.075

0.13 0.07

0.25 0.2

(243) (243)

(7) (49) (343)

×

× × dk eku gS&

(A)3

7(B)

7

3

(C)

31

7

(D)

22

7

2-

3 3

2 216 16

− +

dk ljyhdr :i gS&

(A) 0 (B)

4097

64

(C) 1 (D)

16

4097

3- 1 ls 50 rd dh la[;kvksa dks fy[kus esa dqy fdruh ckjvadksa dk mi;ksx gksxk\(A) 100 (B) 92

(C) 91 (D) 50

4- {(251)98 + (21)59 -(106)100 + (705) 35 -164

+259 } esa bdkbZ LFkku ij vad gksxk&(A) 1 (B) 4

(C) 5 (D) 6

5- ;fn (232$1) fdlh la[;k ls iw.kZr% foHkkftr gS rksfuEufyf[kr esa ls dkSu lh la[;k Hkh ml la[;k ls iw.kZrfoHkkftr gksxh\(A) 216+1 (B) 216

-

1

(C) 7 × 233 (D) 296+1

6- nks la[;kvksa dk ;ksx 216 gS ,oa mudk e-l- 27 gSA blrjg dh la[;kvksa ds fdrus tksM+s laHko gS\(A) 1 (B) 2

(C) 3 (D) 0

7- [(1931)221]428 dks 1932 ls Hkkx nsus ij 'ks"kiQy vk,xkA(A) 0 (B) 1

(C) 1930 (D) 1929

8- ;fn ,d Øekxr Js.kh dk pkSFkk in 14 gS ,oa ckjgoka in70 gS] rks igyk in gS&(A)

-

10 (B)

-

7

(C) + 7 (D) +10

9- ,d xsan ftl mQapkbZ ls fxjrh gS lrg ij iVdkus ds ckn]ml mQapkbZ ds 3@4 osa mQapkbZ rd okil mNyrh gSA ;fnmls xsan dks 32 ehVj dh mQapkbZ ls fxjk;k tk,] rks rhljhckj mNyus esa og fdl mQapkbZ rd tk,xh\

(A)

114

2

ehú (B)

113

2

ehú

(C) 13 ehú (D) buesa ls dksbZ ugha

10- 12 dkys ,oa 6 mtys xsanksa ls Hkjs ,d FkSys esa ls fcukfdlh fo'ks"k Øe ds nks xsanksa dks ,d&,d dj ds fudkyktkuk gSA ;fn igyh xsan dkys jax dks fudyrh gS rks D;klaHkkouk gS fd nwljh xsan Hkh dkys jax dh gks fudysxh\

(A)

11

17

(B)

12

17

(C)

13

18

(D)

5

17

11- ,d laxBu ds lHkh deZpkfj;ksa dh vkSlr vk;q 35 o"kZgSA ;fn 32 o"kZ dh vkSlr vk;q okys 5 u;s deZpkjh]laxBu esa fu;qDr gksrs gSa] rks vc lHkh deZpkfj;ksa dhvkSlr vk;q 34 o"kZ gks tkrh gSA laxBu esa deZpkfj;ksa dhla[;k izkjaHk esa Fkh(A) 10 (B) 12

(C) 8 (D) buesa ls dksbZ ugha12- ,d xsanckt dk xsanckth dk vkSlr 12-4 FkkA fiNys eqdkcys

esa 26 ju nsdj 4 fodsV ysus ls mlds vkSlr esa 0-2vadksa dks lq/kj gqvk rks fiNys eqdkcys ls igys mlds}kjk fy, x, dqy fodsVksa dh la[;k gS&(A) 125 (B) 150

(C) 175 (D) 200

13- ,d Vªsu 3584 fdúehú dh dqy nwjh 2 fnu ,oa 8 ?kaVksa esaiwjh djrh gSA ;fn mlesa ls og 1440 fdúehú dh nwjhigys fnu vkSj 1608 fdúehú dh nwjh nwljs fnu r; djrhgS] rks cps gq, nwjh dks r; djus dh vkSlr xfr dkvarj iwjh nwjh dks r; djus dh vkSlr xfr ls(A) 3 fdú ehú izfr ?kaVs vf/d gS(B) 3 fdú ehú izfr ?kaVs de gS(C) 4 fdú ehú izfr ?kaVs vf/d gS(D) 4 fdú ehú izfr ?kaVs de gS

14- jkds'k dh yackbZ mlds vk;q ds oxZ ewy ds lekuqikr gSA;fn 9 o"kZ dh vk;q esa mldh yackbZ 4 iQhV gS rks 7 o"kks±ckn mldh yackbZ gksxh

(A)

15

3

iQhV (B)

24

5

iQhV

(C)

22

3

iQhV (D)

25

3

iQhV

15-

`

192 izfr fdú xzkú Hkko okys pkoy dks]

`

150 izfrfdúxzkú Hkko okys pkoy ds lkFk fdl vuqikr esa feyk;ktk, rkfd feJ.k dks

`

194-40 izfr fdúxzkú ds Hkko ijcspus ls ls 20» dk ykHk gks\(A) 2 : 5 (B) 3 : 5

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

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16. An alloy contains zinc, copper and tin in the

ratio 2 : 3 : 1and another contains copper,

tin and lead in the ratio 5 : 4 : 3. If equal

weights of both alloys are melted together

to from a third alloy, then the weight of lead

per kg in the new alloy will be

(A)1

2kg (B)

1

8

kg

(C)

3

14

kg (D)

7

9

kg

17. A man invests half his capital at the rate of

10% per annum, one third at 9% and the

rest at 12% per annum. The average rate of

interest per annum, which he gets, is

(A) 9 % (B) 10 %

(C) 10.5 % (D) 12 %

18. Sanjay could save 20% of his income. Two

years later now, when his income has in-

creased by 20%, he could still save only the

same amount as before. By what

percent his expenditure has increased?

(A) 20 % (B) 23 %

(C) 25 % (D) 30 %

19. The price of sugar is reduced by 20%. Now a

person can buy 500g more sugar for

`

36

The original price of the sugar per kilogram

was

(A)

`

14.40 (B)

`

18

(C)

`

15.60 (D)

`

16.50

20. In an examination, a candidate obtained

32% marks and failed by 16 marks. Another

candidate obtaned 36% marks which is 10

marks more than minimum necessary

marks to pass. Find the passing percentage

(A)

232

13

% (B)

634

13

%

(C)

236

13

% (D)

334

13

%

21. A box has 210 coins of denominations one-

rupee and fifty paise only. The ratio of their

respective values is 13 : 11. The number of

one rupee coins is

(A) 65 (B) 66

(C) 77 (D) 78

22. A mixture contains wine ans water in the

ratio 3 : 2 and another mixture contains

them in the ratio 4 : 5. How many litres of

the latter must be mixed with 3 litres of the

former so that the resulting mixture may

contain equal quantities of wine and water?

(A)

25

5

liter (B)

25

3

liter

(C)

14

2

liter (D)

33

4

liter

23. The ratio of the number of boys and girls in

a school was 5 : 3. Some new boys and girls

were admitted to the school, in the ratio

5 :7. At this the total number of students in

the school became 1200, and the ratio of

boys to girls changed to 7.5. The number of

students in the school before new

admissions was

(A) 700 (B) 720

(C) 900 (D) 960

24. The ratio of the first and second class trains

fares between two stations is 3 : 1 and that

of the numbers of passengers travelling

between the two stations by first and

second classes is 1 : 50. If on a particular

day,

`

1, 325 are collected from passengers

travelling between the two stations, then

the amount collected from the second class

passengers is

(A)

`

1,250 (B)

`

1,000

(C)

`

850 (D)

`

750

25. A man leaves

`

8,600 to be divided among 5

sons, 4 daughters and 2 nephews. If each

daughter receives four times as much as

each nephew, and each son receives five

times as much as each nephew, how much

does each daughter receive ?

(A)

`

100 (B)

`

600

(C)

`

800 (D)

`

1,000

26.

`

600 are divided among A, B and C so that

`

40 more than

2

5

of A's share,

`

20 more

than

2

7

of B's share and

`

10 more than

9

17

of C's share are all equal. A's share is

(A)

`

180 (B)

`

160

(C)

`

150 (D)

`

140

27.

`

1200 amounts to

`

1632 in 4 years at acertain rate of simple interest. If the rate ofinterest is increased by 1%, it would amountto how much?

(A)

`

1635 (B)

`

1644

(C)

`

1670 (D)

`

1680

28. A person borrows

`

5,000 for 2 years at 4%

per annum simple interest. He immediately

lends it to another person at

16 %

4

per

annum simple interest for 2 years. His gain

in the transaction is

(A) ` 112.50 (B)

`

452

(C)

`

225 (D)

`

150

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16- ,d feJ/krq esa tLrk] rkack vkSj Vhu dk vuqikr Øe'k%2 % 3 % 1 gS ,oa nwljs feJ/krq esa rkack] Vhu ,oa 'kh'kkdk vuqikr Øe'k% 5 % 4 % 3 gSA ;fn nksuksa feJ/krqvksadks leku ek=kk (Hkkj ds vuqlkj) esa fi?kykdj ,d u;kfeJ/krq cuk;k tk, rks u;s feJ/krq ds izfr fdúxzkú esa'kh'ks dk Hkkj gksxk&

(A)1

2fdúxzkú (B)

1

8

fdúxzkú

(C)

3

14

fdúxzkú (D)

7

9

fdúxzkú

17- ,d O;fDr viuh dqy iwath dk vk/k fgLlk 10» okf"kZdC;kt dh nj ij] ,d frgkbZ fgLlk 9» okf"kZd C;kt dh njij ,oa 'ks"k jkf'k dks 12» okf"kZd C;kt dh nj ij fuos'kdjrk gS rks mls feyus okys C;kt dh nj izfr o"kZ gS&(A) 9 % (B) 10 %

(C) 10.5 % (D) 12 %

18- lat; igys viuh vk; dk 20» cpr djrk FkkA nks o"kZckn vc mldh vk; esa 20» dh c<+ksrjh gqbZ gS] fiQj Hkhvc og mrus gh #i;s cpr djrk gS ftrus #i;s ogigys cpr djrk Fkk] rks crk,¡ fd mlds [kpsZ esa fdrusizfr'kr dh c<+ksÙkjh gqbZ gS(A) 20 % (B) 23 %

(C) 25 % (D) 30 %

19- phuh ds nkeksa esa 20» dh fxjkoV gksus ds dkj.k ,dO;fDr ` 36 esa vc 500 xzke vf/d phuh [kjhn ik jgkgS rks phuh dk izkjafHkd ewY; izfr fd-xzk- Fkk(A)

`

14.40 (B)

`

18

(C)

`

15.60 (D)

`

16.50

20- ,d ijh{kk esa] ,d mEehnokj 32» vad izkIr djus dsckotwn 16 vadksa ls vuqÙkh.kZ gks tkrk gSA ,d nwljk mEehnokj36» vad vftZr djrk gS tks mÙkh.kZ gksus ds fy, t:jhU;wure vadksa ls 10 vad vf/d gS rks mÙkh.k gksus gsrqfdrus izfr'kr vadksa dh t:jr gS\

(A)

232

13

% (B)

634

13

%

(C)

236

13

% (D)

334

13

%

21- ,d cDls esa ` 1 ,oa 50 iSls ewY; okys dqy 210 flDdsgSa ,oa muds dqy ewY;ksa dk vuqikr Øe'k% 13%11 gS rks` 1 okys flDdksa dks dqy la[;k gS&(A) 65 (B)66 (C) 77 (D) 78

22- efnjk ,oa ty ds ,d feJ.k esa budk vuqikr Øe'k%3% 2 gS ,oa blds nwljs feJ.k esa budk vuqikr Øe'k%4 % 5 gSA izFke feJ.k ds 3 yhVj ek=kk ds lkFk nwljsfeJ.k dh fdruh ek=kk feyk;h tk, rkfd u, feJ.k esaefnjk ,oa ty dh ek=kk cjkcj gks\

(A)

25

5

yhú (B)

25

3

yhú

(C)

14

2

yhú (D)

33

4

yhú

23- ,d fo|ky; esa yM+dksa ,d yM+fd;ksa dh la[;kvksa dk

vuqikr 5%3 gSA 5%7 ds vuqikr esa Øe'k% dqN u, yM+ds

,oa ubZ yM+fd;ksa dk fo|ky; esa ukekadu gqvkA vc fo|ky;

esa dqy fo|kfFkZ;ksa dh la[;k 1200 gks xbZ vkSj dqy yM+ds

,oa yM+fd;ksa dk vuqikr 7%5 gks x;k rks u, fo|kfFkZ;ksa ds

ukekadu ls igys dqy fo|kfFkZ;ksa dh la[;k Fkh

(A) 700 (B) 720

(C) 900 (D) 960

24- nks LVs'kuksa ds chp izFke ntsZ ,oa nwljs ntsZ ds fdjk;s dk

vuqikr Øe'k% 3% 1 ,oa muls ;k=kk djus okys ;kf=k;ksa

dk vuqikr Øe'k% 1% 50 gSA ;fn ,d fnu mu nks LVs'kuksa

ds chp ;k=kk djus okys lHkh yksxksa ls dqy fdjk;k `

1325 izkIr gqvk rks nwljs ntsZ ls ;k=kk djus okys ;kf=k;ksa

ls izkIr fdjk;k gS&

(A)

`

1,250 (B)

`

1,000

(C)

`

850 (D)

`

750

25- ,d O;fDr vius 5 iq=kksa] 4 iqf=k;ksa ,oa 2 Hkrhtksa ds chp

ckaVus gsrq ` 8600 NksM+ tkrk gSA ;fn izR;sd iq=kh dks

izR;sd Hkrhts dh 4 xq.kh jkf'k izkIr gksrh gS ,oa izR;sd

iq=k dks izR;sd Hkrhts dh 5 xq.kh jkf'k izkIr gksrh gS rks

izR;sd iq=kh dks izkIr gksus okyh jkf'k gS&

(A)

`

100 (B)

`

600

(C)

`

800 (D)

`

1,000

26- ` 600 dks A, B ,oa C ds chp bl rjg ckaVuk gS fd A

ds 2/5 osa Hkkx esa ` 40] B ds 2/7 osa Hkkx esa ` 20

,oa C ds 9/17 osa Hkkx esa ` 10 tksM+us ij] ;s rhuksa

vkil esa cjkcj gks tkrs gSa] rks A dk fgLlk gS&

(A)

`

180 (B)

`

160

(C)

`

150 (D)

`

140

27- lk/kj.k C;kt dh fdlh okf"kZd nj ls] `1200] 4 o"kks± esa

` 1632 gks tkrk gSA ;fn C;kt dh nj 1» vf/d gksrh

rks izkIr gksus okyh dqy jkf'k gksrh&

(A)

`

1635 (B)

`

1644

(C)

`

1670 (D)

`

1680

28. ,d O;fDr 4» lk/kj.k okf"kZd C;kt dh nj ls 2 o"kksZ gsrq

`

5000 m/kj ysrk gS ,oa rqjr gh ml jkf'k dks og fdlh

vU; O;fDr dks

16 %

4

lk/kj.k okf"kZd C;kt dh nj ij 2

o"kksZ gsrq m/kj ns nsrk gSA bl ysu&nsu esa mls izkIr ykHk gS(A) ` 112.50 (B)

`

452

(C)

`

225 (D)

`

150

22 13%

7 2

æ öç ÷ç ÷è øp= D�

`

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29. A trader has 50kg of rice, a part of which hesells as 14% profit and the rest at 6% loss.On the whole his loss is 4%. What is thequantity sold at 14% profit and that at 6%loss?(A) 5 kg, 45 kg (B) 10 kg, 40 kg

(C) 8 kg, 32 kg (D) None of these30. The compound interest on a certain sum

for 2 years at 10% per annum is ` 525. Thesimple interest on the same sum for doublethe time at half the rate percent perannum is:

(A)

`

400 (B)

`

600

(C)

`

500 (D)

`

800

31. A sum of money is borrowed and paid backin two equal annual instalments of

`

882allowing 5% compound interest. The sumborrowed was:

(A)

`

1620 (B)

`

1680

(C)

`

1700 (D)

`

1640

32. While selling a shirt, a shopkeeper gives a

discount of 7%. If he had given a discount of

9%, he would have got

`

15 less as profit.

The marked price of the shirt is

(A)

`

750 (B)

`

720

(C)

`

712.50 (D)

`

600

33. A businessman sells a commodity at 10%

profit. If he had bought it at 10% less and

sold it for

`

2 less, then he would have

gained 16

2

3

%. The cost price of the

commodity is

(A)

`

32 (B)

`

36

(C)

`

40 (D)

`

48

34. One trader calculates the percentage of

profit on the buying price and another

calculates on the selling price. When their

selling prices are the same, then the

difference of their actual profits is

`

85 and

both claim to have made 20% profit. What

is the selling price of each?

(A)

`

1700 (B)

`

2100

(C)

`

2550 (D)

`

2750

35. If Gaurav sells an item 3/4 of its sellingprice he incurs a loss of 4%. What will bethe profit or loss percentage if he sells it atthe actual selling price?(A) 28 (B) 38

(C) 48 (D) 18

36. An article is sold at a discount of 20% and

an additional discount of 30% is allowed on

cash payment. If Namrata purchased the

article by paying

`

2240 in cash, the

marked price of the article was

(A)

`

4000 (B)

`

4368

(C)

`

4400 (D)

`

4480

37. A shopkeeper earns a profit of 12% onselling a book at 10% discount on theprinted price. The ratio of the cost price andthe printed price of the book is(A) 99 : 125 (B) 25 : 37(C) 50 : 61 (D) 45 : 56

38. A started a business with

`

30,000. After 4

months B joined them with

`

40,000. C

joined them after some more time with

`

50,000. If C gets

`

15,000 as his share at

the end of the year out of total profit of

`

49,000. How many months after B joined

the business did C join?(A) 2 (B) 4(C) 6 (D) None of these

39. 12 children take 16 days to complete a workwhich can be completed by 8 adults in 12days.16 adults started working and after 3days 10 adults left and 4 children joinedthem. How many days will it take them tocomplete the remaining work?(A) 6 (B) 8(C) 4 (D) 3

40. A can complete

2

3

of a work in 4 days and B

can complete 3

5

of the work in 6 days. In how

many days can both A and B togethercomplete the work?(A) 3 (B) 2

(C)

33

4

(D)

72

8

41. A road of 5km will be constructed in 100 days.So 280 workers were employed. But after 80

days it was found that only

13

2

km road was

completed. Now how many more pepole wereneeded to finish the work in the specifiedtime?(A) 480 (B) 80(C) 200 (D) 100

42. A , B and C completed a piece of work

costing

`

1800. A worked for 6 days, B for 4

days and C for 1 day. If their daily wages arein ratio 5 : 6 : 4, how much amount will bereceived by A?

(A)

`

800 (B)

`

600

(C)

`

900 (D)

`

750

43. A leak in the bottom of a cistern can emptythe tank in 12 hours. An inlet pipe fillswater at the rate of 5 leters a minute. Whenthe tank is full the inlet pipe is also opendand due to the leak the tank is now emptyin 15 hours. How many litres does thecistern hold?(A) 8260 (B) 12000(C) 15000 (D) 18000

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29. ,d O;kikjh 50 fdúxzkú pkoy esa ls dqN Hkkx dks 14» ykHkij ,oa ckdh dks 6» dh gkfu ij csprk gS vkSj bl rjg mlsdqy 4» dks gkfu gksrh gS] rks crkb, fd 14» ykHk ij ,oa6» gkfu ij csps tkus okys Øe'k% fdrus&fdrus fdxzkúpkoy csps x,\(A) 5 fdxzkú, 45 fdxzkú (B) 10 fdxzkú, 40 fdxzkú(C) 8 fdxzkú, 32 fdxzkú (D) buesa ls dksbZ ugha

30. ,d jkf'k ij 10» izfro"kZ C;kt dh nj ls 2 o"kksZ dk pØof¼C;kt ` 525 gSA mlh jkf'k ij igys ls vk/s okf"kZd C;kt njijUrq nks xq.ks le; ds fy, lkekU; C;kt gksxk&(A)

`

400 (B)

`

600

(C)

`

500 (D)

`

800

31. ,d jkf'k 5» okf"kZd pØo`f¼ C;kt dh nj ij m/kj yh xbZvkSj mls

`

882 ds nks okf"kZd fdLrksa esa pqdrk fd;k tkrkgS] rks m/kj yh xbZ jkf'k gS&(A)

`

1620 (B)

`

1680

(C)

`

1700 (D)

`

1640

32. ,d nqdkunkj dehtksa ij 7» dh NwV iznku djrk gSA vxjog 9» dh NwV iznku djrk rks mls

`

15 de ykHk izkIr gksrkrks deht dk vafdr ewY; gS&(A)

`

750 (B)

`

720

(C)

`

712.50 (D)

`

600

33. ,d O;kikjh ,d oLrq dks 10» ykHk ij csprk gSA ;fn ogbls 10» de dher ij [kjhnrk vkSj `2 de dher ij

csprk] rks mls

216 %

3dk ykHk izkIr gksrk] rks ml oLrq dk

Ø; ewY; gS&(A)

`

32 (B)

`

36

(C)

`

40 (D)

`

48

34. ,d O;kikjh vius ykHk izfr'kr dh x.kuk Ø; ewY; ijdjrk gS ,oa nwljk O;kikjh vius ykHk izfr'kr dh x.kukfoØ; ewY; ij djrk gSA ;fn muds oLrqvksa dk foØ; ewY;leku gS] rks muds ykHkksa esa

`

85 dk varj gS vkSj nksuksa dksgh muds vuqlkj 20» dk ykHk gksrk gS] rks izR;sd oLrq dkfoØ; ewY; gS&(A)

`

1700 (B)

`

2100

(C)

`

2550 (D)

`

2750

35. ;fn xkSjo fdlh oLrq dks muds foØ; ewY; ds

3

4

osa ewY; ij

csprk gS rks mls 4» dh gkfu gksrh gSA vxj og mls mldsfoØ; ewY; ij csps rks mls fdrus izfr'kr dh ykHk ;k gkfugksxh\(A) 28 (B) 38(C) 48 (D) 18

36. ,d oLrq dks 20» dh NwV ij cspk tk jgk gS vkSj lkFk ghlkFk uxn Hkqxrku djus ij ml ij 30» dk vfrfjDr NwVHkh iznku fd;k tk jgk gSA ;fn uezrk ml oLrq dks

`

2240uxj nsdj [kjhnrh gS] rks mldk vafdr ewY; gS&(A)

`

4000 (B)

`

4368

(C)

`

4400 (D)

`

4480

37. ,d nqdkunkj ,d fdrkc ds vafdr ewY; ij 10» dh NwVnsus ds ckotwn 12» dk ykHk vftZr dj jgk gS] rks mlfdrkc ds Ø; ewY; vkSj vafdr ewY; dk vuqikr gS&(A) 99 : 125 (B) 25 : 37

(C) 50 : 61 (D) 45 : 56

38. A,

`

30000 ds lkFk ,d O;kikj dh 'kq:vkr djrk gSA 4eghus ckn B,

`

40]000 ds lkFk ml O;kikj esa tqM+ tkrk gSrFkk C mlds dqN vkSj le; ckn

`

50]000 ds lkFk O;kikjls tqM+rk gSA o"kZ ds var esa dqy

`

49]000 ds ykHk esa C dksykHkka'k ds rkSj ij

`

15]000 izkIr gksrs gSa rks B ds O;kikjls tqM+us ds fdrus eghuksa ckn C ml O;kikj ls tqM+k Fkk\(A) 2 (B) 4

(C) 6 (D) buesa ls dksbZ ugha39. 12 cPps ftl dk;Z dks 16 fnuksa esa iwjk dj ldrs gSa] 8 cM+s

mlh dk;Z dks 12 fnuksa esa iwjk dj ldrs gSaA 16 cM+s ml dk;Zdks djuk 'kq: djrs gSa ijUrq 3 fnuksa ckn 10 cM+s dk;Z djukNksM+ nsrs gSa ,oa 4 cPps dk;Z djuk 'kq: dj nsrs gSaA rks vc'ks"k dk;Z dks iwjk djus esa yxus okys fnuksa dh la[;k gksxh&(A) 6 (B) 8(C) 4 (D) 3

40. A ,d dk;Z ds

2

3

Hkkx dks 4 fnuksa esa dj ldrk gS ,oa B

ml dk;Z ds 3

5Hkkx dks 6 fnuksa esa iwjk dj ldrk gS] rks nksuksa

feydj ml iwjs dk;Z dks fdrus fnuksa eas dj ldrs gSa\(A) 3 (B) 2

(C)

33

4

(D)

72

8

41. ,d 5 fdehú yEch lM+d dks 100 fnuksa esa cukus gsrq 280dkexkjksa dks yxk;k x;k fdUrq 80 fnuksa ckn ;g ik;k x;k fd

13

2

fdúehú lM+d gh cu ik;h gSA vc fdrus vkSj

dkexkjksa dks yxk;k tk, rkfd fuf'pr le; ij dk;Z iwjkgks tk,\(A) 480 (B) 80(C) 200 (D) 100

42. A, B ,oa C]

`

1800 etnwjh okys ,d dk;Z dks feydj iwjkdjrs gSaA A, B ,oa C Øe'k% 6 fnu] 4 fnu ,oa 1 dke djrsgSaA ;fn mudh nSfud etnwjh dk vuqikr 5% 6% 4 gS] rks Adks izkIr etnwjh gS&(A)

`

800 (B)

`

600

(C)

`

900 (D)

`

750

43. ,d fNnz ds dkj.k ,d Hkjh gqbZ Vadh 12 ?kaVs esa [kkyh gks tkrhgSA ,d ikuh Hkjus okyh uyh tks izfr feuV 5 yhVj dh njls ikuh Hkjrh gS] ls ;fn ml Vadh esa lkFk gh lkFk ;fn Hkjktk, rks vc ml Hkjh gqbZ Vadh dks [kkyh gksus esa 15 ?kaVksa dkle; yxsxk] rks Vadh dh {kerk (yhVj esa) gS&(A) 8260 (B) 12000(C) 15000 (D) 18000

Centres at:

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44. Two pipes can fill a tank with water in 15and 12 hours respectively and third pipe canempty it in 4 hours. If the pipes be openedin order, at 8,9 and 11 a.m. respectively, thetank will be emptied at-(A) 11 : 40 am (B) 12 : 40 pm(C) 1 : 40 pm (D) 2 : 40 pm

45. The driver of a car sees a bus 40m ahead ofhim. After 20s, the bus is 60m behind. Ifthe speed of the car is 30 km/hr, what isthe speed of the bus? (Neglect the lenghtsof car and the bus)(A) 16 km/hr (B) 22 km/hr(C) 24 km/hr (D) 12 km/hr

46. A can go round a circular path 8 times in 40minutes. If the diameter of the circle isincreased to 10 times the original diameter,the time required by A to go round the newpath once travelling at the same speed asbefore is:(A) 25 min (B) 20 min(C) 50 min (D) 100 min

47. Two trains started at the same time, onefrom A to B and the other from B to A. Ifthey arrived at B and A respectively 4 hoursand 9 hours after they passed each other,the ratio of the speeds of the two trains was(A) 2 : 1 (B) 3 : 2(C) 4 : 3 (D) 5 : 4

48. A passenger train running at the speed of80km/hr leaves the railway station 6 hoursafter a goods train leaves and overtakes itin 4 hours. The speed of the goods train is:(A) 32 km/hr (B) 40 km/hr(C) 50 km/hr (D) 60 km/hr

49. The length of a train and that of a platformare equal. If with a speed of 90km/hr thetrain crosses the platfrom in one minute,then the length of the train (in meters) is:(A) 500 (B) 600(C) 750 (D) 900

50. A man rows a distance of 12km in 1 hour instill water and in 80 minutes against thecurrent. Find the time taken by him to row45 km with the current and return to thestaring point.(A) 8 hr. (B) 6 hr.(C) 12 hr. (D) 16 hr.

51. The price of 2 saress and 4 shirts is ` 1600.With the same money one can buy 1 sareesand 6 shirts. If one wants to buy 12 shirts,how much shall one have to pay?

(A)

`

2,400 (B)

`

4,800

(C)

`

1,200 (D)

`

13,500

52. If

4 21 1 1

1 (1 )

− +÷ × =

+ −

x xA

x x x x

, then the value

of A will be:

(A)x

1(B) 1 + x

(C) 1

-

x2 (D) 1

53. If x =

( )1

32 1+

, the value of 3

3

1x –

x

is

(A) 0 (B)

2-

(C) 2- (D)

3 2

54. If x + 2 is a factor of (x +1)7 + (2x+k)3, k beingreal, then the value of k is:(A)

-

1 (B)

-

4(C) 5 (D) 4

55. (y

-

z)3 + (z

-

x)3 + (x

-

y)3 is equal to(A) 3(y

-

z) (z + x)( y

-

x )(B) (x

-

y)(y +z )(x

-

z )(C) 3(y

-

z)(z

-

x) (x

-

y)(D) (y

-

z) (z

-

x)(x

-

y)56. The value of

1 1 1 11 1 1 1

1 2 3

+ + + + + + + x x x x

is:

(A)x

11

4+

+(B) x + 4

(C)

x

1

(D)

x

x

4+

57. If

x x x5 12 13+ =

, then x is equal to

(A)25

4(B) 4

(C) 9 (D) 16

58. If a =( )3

3 2-

+and b = ( )

3

3 2-

- , then the

value of (a + b ) - 1 + (b +1)

-

1 is :

(A) 50

3

(B) 40

2

(C) 1 (D) 559. If ax = by=cz and b2 = ac then y = ?

(A)

xz

x z+

(B)

( )xz

x z2 +

(C) ( )xz

z x2 - (D) ( )xz

x z

2

+

60. If for two real constants a and b, theexpression ax3 + 3x2 - 8x + b is exactlydivisible by (x +2) and (x

-

2), then(A) a = 2 , b = 12 (B) a = 12 , b = 2(C) a = 2 , b =

-

12 (D) a =

-

2 , b = 12

61. If sin B =

1

2

, then 3 cos B

-

4 cos3 B is equal to:

(A) 1 (B)

3

4

(C) 0 (D)

12

2

62. If tan A = 1 and tan B =

3

, then cos A. cos B

sin A. sin B is equal to

(A)

1 3

2 2

+

(B)1 3

2 2

-

(C)2 2

3(D) 1

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44. nks uyh;k¡ ,d Vadh dks Øe'k% 15 ,oa 12 ?kaVksa esa Hkj ldrhgS rFkk ,d rhljh uyh mls 4 ?kaVs esa [kkyh dj ldrh gSA;fn mUgsa izkr% Øe'k% 8] 9 ,oa 11 ctsa [kksyk tk,] rks HkjhgqbZ Vadh [kkyh gks tk,xh&(A) 11 : 40 izkr% (B) 12 : 40 lk;a(C) 1 : 40 lk;a (D) 2 : 40 lk;a

45. ,d dkj dk Mªkboj ,d cl dks 40 ehVj vkxs ikrk gS ijUrq20 lsds.M ds ckn cl mlls 60 ehVj ihNs gks tkrh gSA ;fndkj dh xfr 30 fdehú izfr ?kaVk gS] rks cl dh xfr gksxh&(dkj ,oa cl dh yEckbZ;ksa dks ux.; ekusa)(A) 16 fdehú@?kaVk (B) 22 fdehú@?kaVk(C) 24 fdehú@?kaVk (D) 12 fdehú@?kaVk

46. A ,d xksykdj iFk ij 40 feuV esa 8 pDdj yxk ldrkgSA ;fn ml xksykdj iFk ds O;kl dks 10 xq.kk dj fn;k tk,]rks A dks mlh xfr ls vc mldk iwjk ,d pDdj yxkus esale; yxsxk&(A) 25 feuV (B) 20 feuV(C) 50 feuV (D) 100 feuV

47. nks jsyxkfM+;k¡ ,d gh le; pyuk 'kq: djrh gSa] ,d A lsB dh vksj ,oa nwljh B ls A dh vksjA ;fn igyh ,oa nwljhjsyxkM+h ,d nwljs dks ikj djus ds Øe'k% 4 ?kaVs ,oa 9 ?kaVsckn vius xarO; LFkku (Øe'k% B ,oa A )ij igq¡prh gSa rksmu nksuksa jsyxkfM+;ksa ds xfr;ksa dk Øe'k% vuqikr gS&(A) 2 : 1 (B) 3 : 2

(C) 4 : 3 (D) 5 : 4

48. ,d 80 fdehú@izfr ?kaVs dh xfr ls pyus okyh ;k=kh jsyxkM+h],d ekyxkM+h ds ,d LVs'ku ls [kqyus ds 6 ?kaVs ckn mlhLVs'ku ls [kqyrh gS vkSj vius [kqyus ds 4 ?kaVs ckn ekyxkM+hls vkxs fudy tkrh gS] rks ekyxkM+h dks xfr gS(A) 32 fdehú@?kaVk (B) 40 fdehú@?kaVk(C) 50 fdehú@?kaVk (D) 60 fdehú@?kaVk

49. ,d jsykxkM+h ,oa ,d IysViQkeZ dh yEckbZ leku gSA ;fn ogjsyxkM+h 92 fdehú izfr ?kaVs dh xfr ls ml IysViQkeZ dks 1feuV esa ikj dj tkrh gS] rks ml jsyxkM+h dh yEckbZ (ehVjesa) gksxh&(A) 500 (B) 600(C) 750 (D) 900

50. ,d O;fDr 'kkar ty esa 12 fdehú dh nwjh 1 ?kaVs esa rSjrkgS vkSj mlh nwjh dks og cgrh /kjk dh foijhr fn'kk esa 80feuV esa r; dj ikrk gS rks 45 fdehú /kjk ds lkFk ,oa mruhgh nwjh /kjk ds foijhr r; djus esa dqy le; yxsxk&(A) 8 ?kaVs (B) 6 ?kaVs(C) 12 ?kaVs (D) 16 ?kaVs

51. nks lkfM+;ksa ,oa 4 dehtksa dh dqy dher ` 1600 gSA mrusgh #i;s esa 1 lkM+h ,oa 6 dehtsa [kjhnh tk ldrh gSA ;fndqy 12 dehtsa [kjhnuh gks rks fdrus #i;s yxsaxs\(A)

`

2,400 (B)

`

4,800

(C)

`

1,200 (D)

`

13,500

52. ;fn

4 21 1 1

1 (1 )

− +÷ × =

+ −

x xA

x x x x

gS] rks A dk eku gS&

(A)x

1(B) 1 + x

(C) 1

-

x2 (D) 1

53. ;fn x =

( )1

32 1+

gS] rks 3

3

1x –

x

dk eku gS&

(A) 0 (B)

2-

(C) 2- (D)

3 2

54. ;fn (x +1)7 + (2x+k)3 dk ,d xq.kd (x +2) gS] rks kdk eku gS (tgk¡ k ,d okLrfod la[;k gS )(A)

-

1 (B)

-

4(C) 5 (D) 4

55. (y

-

z)3 + (z

-

x)3 + (x

-

y)3 cjkcj gS&(A) 3(y

-

z) (z + x)( y

-

x )(B) (x

-

y)(y +z )(x

-

z )(C) 3(y

-

z)(z

-

x) (x

-

y)

(D) (y

-

z) (z

-

x)(x

-

y)

56.

1 1 1 11 1 1 1

1 2 3

+ + + + + + + x x x x

dk eku

gS&

(A)x

11

4+

+(B) x + 4

(C)

x

1

(D)

x

x

4+

57. ;fn

x x x5 12 13+ =

gS] x rks dk eku gS&

(A)25

4(B) 4

(C) 9 (D) 16

58. ;fn a =( )

3

3 2-

+

,oa b = ( )3

3 2-

- , gS] rks

(a + b ) - 1 + (b +1)

-

1 dk eku gS&(A) 50

3

(B) 40

2

(C) 1 (D) 5

59. ;fn ax = by=cz gS ,oa b2 = ac gS] rks y = ?

(A)

xz

x z+

(B)

( )xz

x z2 +

(C) ( )xz

z x2 - (D) ( )xz

x z

2

+

60. mu nks okfLrod fLFkj la[;kvksa a ,oa b dk eku D;k gksxkrkfd O;atd (ax3 + 3x2 - 8x + b), (x + 2) ,oa ( x - 2)

ls iw.kZr% foHkkftr gks tk,¡\(A) a = 2 , b = 12 (B) a = 12 , b = 2(C) a = 2 , b =

-

12 (D) a =

-

2 , b = 12

61. ;fn sin B =

1

2

gS] rks (3 cos B - 4 cos3B) dk eku gS&

(A) 1 (B)

3

4

(C) 0 (D)

12

2

62. ;fn tanA=1 ,o a tanB=

3

g S ] r k scosA. cosB. sinA. sinB dk eku gS&

(A)

1 3

2 2

+

(B)1 3

2 2

-

(C)2 2

3(D) 1

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63. The angle of elevation of a pole at a point p

is tan - 1

5

12

. On walking 300m towards the

pole, the angle of elevation of the pole is

tan

-

1

3

4

. The height of the pole is

(A) 300m (B) 281

1

4

m

(C) 375m (D) None of these

64. (sin A + cosecA)2 + (cos A + secA)2 =?

(A) 7 + tan2 A + cot2 A

(B) 4 + tan2 A

(C) 5 + tan2 A

(D) 6 + tan2 A + cot2 A

65. A tower subtends an angle α at a point A in

the plane of its base and the angle of de-

pression of the foot of the tower at a point 'b'

meters, just above A is β, then the height of

the tower is:

(A) b tan α tan β(B) b cot α cos β(C) b tan α cos β(D) b tan α cot β

66. The height of a tower is h and the angle of

elevation of the top of the tower from a point

on the plane is α. On moving a distance h

2towards the tower, the angle of elevation

becomes β. The value of cot α

-

cot β is

(A) 1 (B) 2

(C)

1

2

(D)

2

3

67. A vertical tower stands on a horizontal plane

and is surmounted by a vertical flag staff of

height h. At a point on the plane, the angle

of elevation of the bottom of the flag staff is

α

and that of the top of the flag staff is

β

.

Then, the height of the tower is

(A) h tan

α

(B)

tan

tan tan−h αβ α

(C)

tan

tan tan−h αα β

(D) None of these

68. Value of 2 (sin6

q

+cos6

q

)

-

3 (sin4

q

+ cos4

q

)

+1 is

(A) 4 (B) 0

(C) 1 (D) 2

69. If sin

q

+ sin2

q

+sin3

q

=1, then cos6

q-

4

cos4

q

+ 8 cos2

q

is equal to

(A) 2 (B) 1

(C) 4 (D) 3

70. If tan

q

=

a

b

, then

a b

a b

sin cos

sin cos

q + q

q - q

is

(A)

a

a b2 2+

(B)b

a b

2

2 2+

(C)a b

a b

2 2

2 2

-

+(D)

a b

a b

2 2

2 2

+

-

71. The length of the diagonal BD of the

parallelogram ABCD is 18cm. If P and Q are

the centroid of the ∆ABC and ∆ADC re-

spectively then the length of the line seg-

ment PQ is

(A) 4 cm (B) 6 cm

(C) 9 cm (D) 12 cm

72. In a quadrilateral ABCD, with unequal sides

if the diagonals AC and BD intersect at right

angles, then

(A) AB2 + BC2 = CD2 + DA2

(B) AB2 + CD2 = BC2 + DA2

(C) AB2 + AD2 = BC2 + CD2

(D) AB2 + BC2 = 2(CD2 + DA2)

73. The vertex A of ∆ABC is joined to a point D

on BC. If E is the midpoint of AD, then ar

(∆BEC) = ?

A

D

E

BC

•

(A)1

2ar (∆ABC) (B)

1

3

ar (∆ABC)

(C)

1

4

(∆ABC) (D)

1

6

(∆ABC)

74. If an angle of a parallelogram is two third of

its adjacent angle, then the smallest angle

of the parallelogram is

(A) 108º (B) 54º

(C) 72º (D) 81º

75. In the given figure, AB

�

DC, ∠BAD = 90º,

∠CBD = 28º and ∠BCE = 65º. Then ∠ABD = ?

AB

CD E

65º

28º

(A) 32º (B) 37º

(C) 43º (D) 53º

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63. P fcanq ls ,d [kaHks dk mUu;u dks.k 1 5

tan12

− gSA [kaHks dh

vksj 300 ehú pyus ij] mldk mUu;u dks.k 1 3tan

4

− gks

tkrk gS] [kaHks dh mQ¡pkbZ gS

(A) 300ehú (B) 2811

4ehú

(C) 375ehú (D) buesa ls dksbZ ugha64. (sin A + cosecA)2 + (cos A + secA)2 =?

(A) 7 + tan2 A + cot2 A

(B) 4 + tan2 A

(C) 5 + tan2 A

(D) 6 + tan2 A + cot2 A

65. ,d ehukj vius vk/kj ds lery ij ds fdlh fcanq A ijα dks.k cukrh gS vkSj ehukj ds vk/kj dk vou;u dks.kml fcanq A ls 'b' ehVj Bhd mQij ds ,d fcanq ls dks.k β gS]rks ehukj dh mQapkbZ gS(A) b tan αtan β(B) b cot α cos β(C) b tan α cos β(D) b tan αcot β

66. ,d ehukj dh mQ¡pkbZ ‘h’ gS vkSj lery ds fdlh fcanq ls

blds 'kh"kZ dk mUu;u dks.k α gSA ehukj dh vksj

h

2

ehú

c<+us ij] mUu;u dks.k β gks tkrk gS] rks cotα – cotβ dkeku gS(A) 1 (B) 2

(C)

1

2

(D)

2

3

67. ,d mQèokZ/j ehukj fdlh lery ij fLFkr gS vkSj bldsmQij ,d ‘h’ mQ¡pkbZ dk >aMk gSA lery ds fdlh fcanq ls >aMsds vk/kj dk mUu;u dks.k α rFkk >aMs ds 'kh"kZ dk mUu;udks.k β gS] rks ehukj dh mQ¡pkbZ gS

(A) h tan α (B)

tan

tan tan−

h αβ α

(C)

tan

tan tan−

h αα β

(D) buesa ls dksbZ ugha

68. 2 (sin6

q

+cos6

q

)

-

3 (sin4

q

+ cos4

q

) +1 dk ekugS(A) 4 (B) 0

(C) 1 (D) 2

69. ;fn sin

q

+ sin2

q

+sin3

q

=1 gS, rks cos6

q-

4

cos4

q

+ 8 cos2

q

dk eku gS(A) 2 (B) 1

(C) 4 (D) 3

70. ;fn tan

q

=

a

b

gS, rks

a b

a b

sin cos

sin cos

q + q

q - q

dk eku gS

(A)

a

a b2 2+

(B)b

a b

2

2 2+

(C)a b

a b

2 2

2 2

-

+(D)

a b

a b

2 2

2 2

+

-

71. lekarj prqHkqZt ABCD ds ,d fod.kZ BD dh yackbZ 18 ls-eh- gSA ;fn P vkSj Q ∆ABC vkSj ∆ADC dk Øe'k%dsUnzd gS] rks js[kk[k.M PQ yackbZ gS&(A) 4 lsehú (B) 6 lsehú(C) 9 lsehú (D) 12 lsehú

72. vleku Hkqtkvksa okyh ,d prqHkqZt ABCD gSA ;fn fod.ks±AC vkSj BD ,d nwljs dks yEcor~ izfrPNsn djrh gS] rks(A) AB2 + BC2 = CD2 + DA2

(B) AB2 + CD2 = BC2 + DA2

(C) AB2 + AD2 = BC2 + CD2

(D) AB2 + BC2 = 2(CD2 + DA2)

73. ∆ABC ds 'kh"kZ A dks BC ij fLFkr ,d fcanq D ls feyk;ktkrk gSA ;fn AD dk eè;fcanq E gS] rks (∆BEC) dk{ks=kiQy ¾

A

D

E

BC

•

(A)1

2ar (∆ABC) (B)

1

3

ar (∆ABC)

(C)

1

4

(∆ABC) (D)

1

6

(∆ABC)

74. ;fn ,d lekukarj prqHkqZt dk ,d dks.k vius lehiorhZdks.k dk nks&frgkbZ gS] rks lekarj prqHkZqt dk lcls NksVkdks.k gS(A) 108º (B) 54º

(C) 72º (D) 81º

75. nh gqbZ vkd`fr esa] AB||DC, ∠BAD= 900, ∠CBD=

280, vkSj ∠BCE = 650, rks ∠ABD = ?

AB

CD E

65º

28º

(A) 32º (B) 37º

(C) 43º (D) 53º

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76. The area of a square is equal to that of arectangle. The length of rectangle is 5 cmmore than the side of square and width is3cm less than the side of square. Theperimeter of the rectangle is(A) 17 cm (B) 26 cm

(C) 30 cm (D) 34 cm77. In the adjoining figure, AB, EF and CD are

parallel lines. Given that EG = 5cm, GC = 10cmand DC =18cm, then EF is equal to:

(A) 11 cm (B) 5 cm

(C) 6 cm (D) 9 cm

78. In the given figure, ABCD is a cyclic quad-

rilateral in which DC is produced to E and

CF is drawn parallel to AB such that ∠ADC

= 90º and∠ECF = 20º. Then, ∠BAD = ?

D

A

B

C E

F

20º

85º

95º

(A) 95º (B) 85º

(C) 105º (D) 75º79. The equation of straight line which passes

through the mid point of the two points (4,2)and (6,4) and the point (-5, -3) is(A) 5x -3y = 15 (B) 5y -3x = 30

(C) 5y -3x = 10 (D) 3x -5y = 1580. The area of the circle (x +1) (x +2) +(y - 1)

(y +3) = 0 is

(A)

17

4

p

(B)

17

2

p

(C)

2

17

p

(D) None of these

81. ∆ABC and ∆BDE are two equilateral tri-

angles such that D is the midpoint of BC.

Then ar(∆BDE): ar (∆ABC) = ?

A

B C

D

E

(A) 1 : 2 (B) 1 : 4

(C) 3 : 2 (D) 3 : 4

82. The area of a trapezium is 336 sq. cm. If itsparallel sides are in the ratio 5 : 7 and the

perpendicular distance between them be14cm, then the smaller of the parallel sidesis:(A) 20 cm (B) 22 cm

(C) 24 cm (D) 26 cm83. The size of a wooden block is 5×10×20cm.

How many whole such blocks will be requiredto construct a solid wooden cube of mini-mum size?(A) 6 (B) 8

(C) 12 (D) 1684. The percentage increase in the surface area

of a cube when each side is tripled is:(A) 600% (B) 700%

(C) 800% (D) 300%

85. If the difference between areas of

circumcircle and the incircle of an

equilateral triangle is 44 cm2, then the area

of the triangle is

22Take

7

=

π

(A) 28 cm2 (B) 7 3 cm2

(C) 14

3

cm2 (D) 21 cm2

86. The volume of the metal of a cylindrical pipe

is 748 cm3. The length of the pipe is 14 cm

and its external radius is 9 cm. Its

thickness is 22Take

7

=

π

(A) 1 cm (B) 5.2 cm

(C) 2.3 cm (D) 3.7 cm

87. A tank is 25meters long, 12 meters wideand 6 metres deep. The cost of plasteringits inner walls and the bottom at ` 75per m2 is:(A)

`

33,300 (B)

`

55,800

(C)

`

16,650 (D)

`

279,00

88. If the height, curved surface area and thevolume of a cone are h, c and v respectively,then 3

p

vh3

-

c2h2 + 9v2 will be equal to:(A) 0 (B) 1

(C) chv (D) v2h

89. In a quadrilateral ABCD, it is given that

BD = 16cm .If AL

⊥

BD and CM

⊥

BD such

that AL = 9 cm and CM = 7cm, then ar (quad.

ABCD) =

(A) 256 cm2 (B) 128 cm2

(C) 64 cm2 (D) 96 cm2

Centres at:

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76. ,d oxZ dk {ks=kiQy] ,d vk;r ds {ks=kiQy ds cjkcj gSA ;fnvk;kr dh yackbZ oxZ ds Hkqtk ls 5 ls-eh- vf/d gS vkSjpkSM+kbZ oxZ dh Hkqtk ls 3 lsaúehú de gSA vk;r dk ifjekigS&(A) 17 lsaúehú (B) 26 lsaúehú(C) 30 lsaúehú (D) 34 lsaúehú

77. nh xbZ vkÑfr esa AB, EF vkSj CD lekarj js[kk,a gSaA fn;k gSEG = 5 lsaúehú, GC = 10 lsaúehú vkSj DC =18 lsaúehú,

rks EF cjkcj gS&

(A) 11 lsaúehú (B) 5 lsaúehú(C) 6 lsaúehú (D) 9 lsaúehú

78. fn;s x;s vkdfr esa] ABCD ,d pØh; prqHkqZt ftlesa DC

dks E rd c<+k;k tkrk gS vkSj CF dks AB ds lekukarj blizdkj [khapk x;k fd ∠ADC = 900, vkSj ∠ECF = 200

rks ∠BAD= ?

D

A

B

C E

F

20º

85º

95º

(A) 95º (B) 85º

(C) 105º (D) 75º

79. ml ljy js[kk dk lehdj.k tks nks fcanvksa (4]2) vkSj (6]4)ds eè; fcanq ls vkSj fcanq (µ5] µ3) ls xqtjrh gS&(A) 5x -3y = 15 (B) 5y -3x = 30

(C) 5y -3x = 10 (D) 3x -5y = 15

80. o`Ùk (x+1) (x+2) + (y–1) (y+3)=0 dk {ks=kiQy gS&

(A)17

4

p(B)

17

2

p

(C)

2

17

p

(D) buesa ls dksbZ ugha

81. ∆ABC vkSj ∆BDE nks leckgq f=kHkqtsa bl izdkj ls gaS fdBC dk eè;fcanq D gS] rks {ks-(∆BDE) % {ks-(∆ABC)¾\

A

B C

D

E

(A) 1 : 2 (B) 1 : 4

(C) 3 : 2 (D) 3 : 4

82. ,d leyEc prqHkqZt dk {ks=kiQy 336 oxZ lsaeh- gSA ;fn bldslekukarj Hkqtkvksa dk vuqikr 5%7 gS vkSj nksuksa ds chp dhyEcor~ nwjh 14 ls-eh- gS] rks lekarj Hkqtkvksa esa NksVh Hkqtk gS&(A) 20 lsaúehú (B) 22 lsaúehú(C) 24 lsaúehú (D) 26 lsaúehú

83. ,d ?kukHkkdkj ydM+h dk vkdkj 5 lsehú × 10 lsehú ×× 20 lsehú gSA ,d U;wure laHko vkdkj dk Bksl ?ku cukusgsrq bl izdkj ds de ls de fdrus ydM+h [k.Mksa dhvko';drk gksxh\(A) 6 (B) 8 (C) 12 (D) 16

84. ;fn fdlh ?ku dh Hkqtk dks rhu xq.kk dj fn;k tk, rks dqyi`"B {ks=kiQy esa fdrus izfr'kr dh o`f¼ gksxh\(A) 600% (B) 700%

(C) 800% (D) 300%

85. ,d leckgq f=kHkqt ds ifjo`Ùk vkSj var% o`Ùk ds {ks=kiQyksa dkvarj 44 oxZ lsehú gSa] rks f=kHkqt dk {ks=kiQy gS

(π =

22

7

ysa)

(A) 28 oxZ lsaúehú (B) 7

3

oxZ lsaúehú

(C) 14

3

oxZ lsaúehú (D) 21 oxZ lsaúehú

86. ,d csyukdkj uyh dks cukus esa bLrseky gq, /krq dkvk;ru 748 ?ku lsehú gSA uyh dh yEckbZ 14 lsehú gS vkSjbldh ckgjh f=kT;k 9 lsehú gSA uyh dh eksVkbZ gS (π =22

7

ysa)

(A) 1 lsaúehú (B) 5.2 lsaúehú(C) 2.3 lsaúehú (D) 3.7 lsaúehú

87. ,d Vadh 25 ehVj yEch 12 ehVj pkSM+h vkSj 6 ehVj xgjhgSA

`

75 izfr oxZ ehVj dh nj ls van:uh fnokjksa (iQ'kZlfgr) dks IykLVj djus esa [kpZ gS&(A)

`

33,300 (B)

`

55,800

(C)

`

16,650 (D)

`

279,00

88. ;fn fdlh 'kadq dh mQ¡pkbZ] oØ lrgh; {ks=kiQy vkSj vk;ruØe'k% h, c vkSj v gS] rks 3

p

vh3

-

c2h2 +9v2 cjkcj gS&(A) 0 (B) 1

(C) chv (D) v2h

89. prqHkqZt ABCD esa] BD = 16 lsehú gSA ;fn AL ⊥ BD

vkSj CM ⊥ BD bl izdkj gSa fd AL = 9 lsehú rFkk CM

=7 lsehú gS] rks {ks=k (

�

ABCD) =?

(A) 256 oxZ lsehú (B) 128 oxZ lsehú

(C) 64 oxZ lsehú (D) 96 oxZ lsehú

Centres at:

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90. The radius of the base of a conical vessel is

10cm and its height is 48cm. This vessel

is full of water. This water is poured into a

cylindrical vessel having base radius 20 cm.

The depth of water in the vessel is

(A) 2.1 cm (B) 5.2 cm

(C) 3.6 cm (D) 1cm

91. Water is being pumped out through a

circular pipe whose internal diameter is

7cm. If the flow of water is 12cm per sec-

ond, how many litres of water is being

pumped out in one hour?

(A) 1663.2 l (B) 1500 l

(C) 1747.6 l (D) 2000 l

92. If G be the centroid of ∆ABC and the area of

∆GBD is 6 sq. cm, where D is the midpoint

of side BC, then area of ∆ABC is

(A) 18 sq. cm (B) 12 sq. cm

(C) 24 sq. cm (D) 36 sq. cm

Direction (93-96): The following Pie-chart shows

the land distributions of a housing complex. If

the total area of the complex is 5 acres,

examine the pie chart and answer the question

93. The ratio of area allotted for residential and

road purpose is

(A) 1 : 4 (B) 4 : 1

(C) 3 : 8 (D) 8 : 3

94. The percentage of the total area alloted for

water area and green zone together is

(A) 35% (B) 30%

(C) 45% (D) 40%

95. Land allotted for green zone is greater than

that for commerical purpose by

(A)3

2acres (B)

2

3

acres

(C)

4

3

acres (D)

3

4

acres

96. The total land allotted for residential and

commercial purpose is

(A)

124

acres (B)

142

acres

(C)

324

acres (D)

122

acres

Directions (97-100): Study the table given

below and answer the following questions.Loans Disbursed by Four Banks in Croresof Rupees in Different Years

2007

18

27

29

13

87

2008

23

33

29

19

104

2009

45

18

22

28

113

2010

30

41

17

32

120

YearsBanks

A

B

C

D

Total

97. In which year the disbursement of loans by

all the banks combined together was near-

est to the average disbursement of loans

over the years?

(A) 2007 (B) 2008

(C) 2009 (D) 2010

98. What was the percentage increase of

disbursement of loans of all banks together

from 2009 to 2010?

(A) 6% (B)

226 %113

(C)

116 %113

(D)

117 %113

99. In which year was the total disbursement

of loans of banks A and B exactly equal to

the total disbursement of loans of banks C

and D?

(A) 2007 (B) 2008

(C) 2010 (D) None of these

100. In which banks was the loan disbursement

more than 30% of the disbursement of all

banks combined together in 2010?

(A) A (B) B

(C) C (D) D

Centres at:

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Ph: 011-27607854, (M) 8860-333-333 14


90. fdlh 'kaDokdkj crZu ds vk/kj dh f=kT;k 10 lsehú vkSjmQ¡pkbZ 48 lsehú gSA crZu eas ikuh Hkjk gSA ikuh dks ,dcsyukdkj crZu] ftlds vk/kj dh f=kT;k 20 lsehú gS] esaMky fn;k tkrk gS] rks crZu esa ikuh dh xgjkbZ fudkysaA(A) 2.1 lsehú (B) 5.2 lsehú(C) 3.6 lsehú (D) 1 lsehú

91. ,d csyukdkj uyh ftldh var% O;kl 7 lsehú gS] ls ikuhfudkyk tkrk gSA ;fn ikuh 12 lsehú izfr lsds.M ds osx lscgrk gS] rks uyh ls 1 ?kaVs esa fdrus yhVj ikuh fudkyk tkrkgS\(A) 1663.2 yhVj (B) 1500 yhVj(C) 1747.6 yhVj (D) 2000 yhVj

92. ;fn G, ∆ABC dk dsUnzd gS vkSj ∆GBD dk {ks=kiQy 6oxZ lsehú gS tgk¡ D, BC dk eè;fcUnq gS] rks ∆ABC dk{ks=kiQy gS&(A) 18 oxZ lsehú (B) 12 oxZ lsehú

(C) 24 oxZ lsehú (D) 36 oxZ lsehú

funsZ'k (93&96)% fuEufyf[kr o`Ùk vkjs[k ,d vkoklh; Hkoulewg ds Hkwfe forj.k dks n'kkZrk gSA ;fn iwjs Hkou lewg dhHkwfe 5 ,dM+ gS] rks o`Ùk vkjs[k ds vuqlkj fuEufyf[kr iz'uksads mÙkj nsaA

93. vkoklh; {ks=k ,oa lM+d {ks=k ds fy, vkoafVr Hkwfe;ksa dkvuqikr gS(A) 1 : 4 (B) 4 : 1

(C) 3 : 8 (D) 8 : 3

94. ty {ks=k ,oa gfjr {ks=k ds fy, vkoafVr dqy Hkwfe dk izfr'kr gS&(A) 35% (B) 30%

(C) 45% (D) 40%

95. gfjr {ks=k ds fy, vkoafVr Hkwfe] O;olkf;d mi;ksx gsrq Hkwfels fdruh T;knk gS\

(A)3

2,dM+ (B)

2

3

,dM+

(C)

4

3

,dM+ (D)

3

4

,dM+

96. vkoklh; ,oa O;olkf;d {ks=kksa gsrq vkokafVr dqy Hkwfe gS&

(A)

124

,dM+ (B)

142

,dM+

(C)

324

,dM+ (D)

122

,dM+

funsZ'k (97&100)% fuEufyf[kr rkfydk dks è;kuiwoZd i<+s ,oafuEufyf[kr iz'uksa ds mÙkj nsa&

pkj cSadksa }kjk fofHkUu o"kksZ esa fn;k x;k Í.k (djksM+

`

esa)

2007

18

27

29

13

87

2008

23

33

29

19

104

2009

45

18

22

28

113

2010

30

41

17

32

120

A

B

C

D

97. fdl o"kZ esa] lHkh cSadksa }kjk fn;k x;k dqy Í.k] lHkh o"kksZds vkSlr Í.k forj.k ds yxHkx cjkcj gS\(A) 2007 (B) 2008

(C) 2009 (D) 2010

98. o"kZ 2009 dh rqyuk esa o"kZ 2010 esa lHkh cSadksa }kjk dqy Í.kforj.k esa izfr'kr o`f¼ gS&

(A) 6% (B)22

6 %113

(C)

116 %113

(D)

117 %113

99. fdl o"kZ esa cSad A ,oa B }kjk feydj forfjr fd;k x;kdqy Í.k] cSad C ,oa D }kjk feydj forfjr fd, x, dqyÍ.k ds ,dne cjkcj gS\(A) 2007 (B) 2008

(C) 2010 (D) buesa ls dksbZ ugha100. o"kZ 2010 esa] fdl cSad }kjk forfjr Í.k] lHkh cSadksa }kjk

forfjr dqy Í.k ds 30» ls vf/d gS\(A) A (B) B

(C) C (D) D

Documents

Ssc Mains (Maths) Mock Test-6