14
Centres at: MUKHERJEE NAGAR MUNIRKA UTTAM NAGAR DILSHAD GARDEN ROHINI BARDARPUR BORDER ============================================================= Ph: 011-27607854, 08860-333-333 1 1. If the ratio of sum and difference of two numbers is 7 : 1, then the ratio of these two numbers is (1) 5 : 3 (2) 7 : 2 (3) 4 : 3 (4) 3 : 4 2. The value of 2 2 (0.147 0.289) (0.147 0.289) 0.147 0.289 + × (1) 2 (2) 4 (3) 0.258 (4) 0.236 3. If a and b are rational numbers then in the equation 6 2 3 2 3 b a + = + , the value of a and b are (1) a = 4, b = 2 (2) a = 5, b = 3 (3) a = 5, b = 2 (4) a = 2, b = 5 4. If f(x)= 4x 3 – 2x 2 + 5x – 8 is divided by (x – 2) then the remainder is (1) 26 (2) 16 (3) 42 (4) 18 5. The product of two expressions is (x – 7) (x 2 + 8x + 12). If HCF of these expressions is (x + 6) then their LCM is (1) x 2 – 5x + 14 (2) x 2 + 5x – 14 (3) x 2 – 5x – 14 (4) x 2 + 5x + 14 6. The value of (0.00032) 0.6 is (1) 0.08 (2) 0.008 (3) 0.8 (4) 8 7. Average age of three boys is 16 years. If the ratio of their ages is 4 : 5 : 7, then the age of the youngest boy is (1) 8 years (2) 9 years (3) 12 years (4) 16 years 8. A batsman scores some runs in his 51st completes inning so that his average increases from 59.6 to 60. The runs scored by the batsman in his 51st inning are (1) 75 (2) 70 (3) 100 (4) 80 9. For what value of n, n n n n b a b a + + + + 1 1 is the arithmatic mean of a and b. (1) 1 (2) 0 (3) –1 (4) 2 10. If (b + c), (c + a), (a + b) are in A.P. then (1) b = a + c (2) 2 c b a + = (3) 2 b a c + = (4) 2 c a b + = 11. The ratio of Rita's age to the age of her mother is 3 : 11. The difference of their ages is 24 years. What will be the ratio of their ages after 3 years (1) 2 : 3 (2) 1 : 2 (3) 1 : 3 (4) 3 : 5 12. 9 and 36 are first and second terms respectively in a continued proportion, then the third proportional is (1) 36 (2) 72 (3) 144 (4) 324 13. If (a + b) : (b + c) : (c + a) = 6 : 7 : 8 and a + b + c = 14, then value of c is (1) 6 (2) 7 (3) 8 (4) 14 14. A mechanic purchases a scooter with marked price of ` 2600 at successive discounts of 10% and 5%. If he spent ` 477 for its repair etc. and sold it for ` 2835, then the profit or loss percent in this deal is (1) 5% profit (2) 5% loss (3) 7% profit (4) 7% loss 15. If ` 370 are distributed among A, B and C in the ratio 1 1 1 : : 4 5 6 , then what amount A will get (1) ` 180 (2) ` 120 (3) ` 150 (4) ` 160 16. A trader has three varieties of milk measuring 435 litres, 493 litres and 551 litres. What is the maximum number of containers of equal size so that the whole of milk is filled in them without mixing (1) 51 (2) 45 (3) 61 (4) 47 17. “A’, ‘B’ and ‘C’ enter into a partnership with a capital in which A’ contribution is Rs. 10,000. If out of a profit of Rs. 1000. ‘A gets Rs. 500 and ‘B’ gels Rs.300,then the contribution of C to the capital is (1) ` 4000 (2) ` 5000 (3) ` 6000 (4) ` 9000 18. If the radius of a circle is increased by 5%, then the percentage increase in its area is (1) 25% (2) 10.25% (3) 17.25% (4) 15% ARITHMETIC

SSC(Tier - II) - 2013 (MTP - 3) final - SSC Exam Tutornotes.sscexamtutor.com/Maths/Questions/SSC MAINS (MATHS...24. A sells a good to B at a profit of 20% and B sells it to C at a

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Page 1: SSC(Tier - II) - 2013 (MTP - 3) final - SSC Exam Tutornotes.sscexamtutor.com/Maths/Questions/SSC MAINS (MATHS...24. A sells a good to B at a profit of 20% and B sells it to C at a

Centres at: ����� MUKHERJEE NAGAR � � � � � MUNIRKA � � � � �UTTAM NAGAR � � � � �DILSHAD GARDEN ����� ROHINI �����BARDARPUR BORDER

=============================================================

Ph: 011-27607854, 08860-333-333 1

1. If the ratio of sum and difference of two

numbers is 7 : 1, then the ratio of these

two numbers is

(1) 5 : 3 (2) 7 : 2

(3) 4 : 3 (4) 3 : 4

2. The value of

2 2(0.147 0.289) (0.147 0.289)

0.147 0.289

+ − −

×

(1) 2 (2) 4

(3) 0.258 (4) 0.236

3. If a and b are rational numbers then in the

equation 623

23ba +=

+, the value of a

and b are

(1) a = 4, b = 2 (2) a = 5, b = 3

(3) a = 5, b = 2 (4) a = 2, b = 5

4. If f(x)= 4x3 – 2x2 + 5x – 8 is divided by (x – 2)

then the remainder is

(1) 26 (2) 16

(3) 42 (4) 18

5. The product of two expressions is (x – 7)

(x2 + 8x + 12). If HCF of these expressions is

(x + 6) then their LCM is

(1) x2 – 5x + 14 (2) x2 + 5x – 14

(3) x2 – 5x – 14 (4) x2 + 5x + 14

6. The value of (0.00032)0.6 is

(1) 0.08 (2) 0.008

(3) 0.8 (4) 8

7. Average age of three boys is 16 years. If the

ratio of their ages is 4 : 5 : 7, then the age

of the youngest boy is

(1) 8 years (2) 9 years

(3) 12 years (4) 16 years

8. A batsman scores some runs in his 51st

completes inning so that his average

increases from 59.6 to 60. The runs scored

by the batsman in his 51st inning are

(1) 75 (2) 70

(3) 100 (4) 80

9. For what value of n, nn

nn

ba

ba

+

+ ++ 11

is the

arithmatic mean of a and b.

(1) 1 (2) 0

(3) –1 (4) 2

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

(1) b = a + c (2) 2

cba

+=

(3) 2

bac

+= (4)

2

cab

+=

11. The ratio of Rita's age to the age of her

mother is 3 : 11. The difference of their ages

is 24 years. What will be the ratio of their

ages after 3 years

(1) 2 : 3 (2) 1 : 2

(3) 1 : 3 (4) 3 : 5

12. 9 and 36 are first and second terms

respectively in a continued proportion, then

the third proportional is

(1) 36 (2) 72

(3) 144 (4) 324

13. If (a + b) : (b + c) : (c + a) = 6 : 7 : 8 and

a + b + c = 14, then value of c is

(1) 6 (2) 7

(3) 8 (4) 14

14. A mechanic purchases a scooter with

marked price of ` 2600 at successive

discounts of 10% and 5%. If he spent ` 477

for its repair etc. and sold it for 2835, then

the profit or loss percent in this deal is

(1) 5% profit (2) 5% loss

(3) 7% profit (4) 7% loss

15. If 370 are distributed among A, B and C in

the ratio 1 1 1

: :4 5 6

, then what amount A will

get

(1) 180 (2) 120

(3) 150 (4) 160

16. A trader has three varieties of milk

measuring 435 litres, 493 litres and 551

litres. What is the maximum number of

containers of equal size so that the whole

of milk is filled in them without mixing

(1) 51 (2) 45

(3) 61 (4) 47

17. “A’, ‘B’ and ‘C’ enter into a partnership with

a capital in which A’ contribution is Rs.

10,000. If out of a profit of Rs. 1000. ‘A’ gets

Rs. 500 and ‘B’ gels Rs.300,then the

contribution of C to the capital is

(1)

`

4000 (2)

`

5000

(3)

`

6000 (4)

`

9000

18. If the radius of a circle is increased by

5%, then the percentage increase in its

area is

(1) 25% (2) 10.25%

(3) 17.25% (4) 15%

ARITHMETIC

Page 2: SSC(Tier - II) - 2013 (MTP - 3) final - SSC Exam Tutornotes.sscexamtutor.com/Maths/Questions/SSC MAINS (MATHS...24. A sells a good to B at a profit of 20% and B sells it to C at a

Centres at: ����� MUKHERJEE NAGAR � � � � � MUNIRKA � � � � �UTTAM NAGAR � � � � �DILSHAD GARDEN ����� ROHINI �����BARDARPUR BORDER

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1- ;fn fdUgha nks la[;kvksa ds ;ksx ,oa varj dk vuqikr7 % 1 gS] rks bu nksuksa la[;kvksa dk vuqikr gksxk \(1) 5 % 3 (2) 7 % 2(3) 4 % 3 (4) 3 % 4

2.2 2(0.147 0.289) (0.147 0.289)

0.147 0.289

+ − −

× dk eku gS

(1) 2 (2) 4(3) 0-258 (4) 0-236

3- ;fn a vkSj b ifjes; la[;k,a gS a ] rk s lehdj.k

23

23

+6ba += esa a vkSj b dk eku gS

(1) a = 4, b = 2 (2) a = 5, b = 3

(3) a = 5, b = 2 (4) a = 2, b = 5

4- f(x)= 4x3 – 2x2 + 5x – 8 esa (x – 2) dk Hkkx nsusij 'ks"kiQy gS(1) 26 (2) 16(3) 42 (4) 18

5- nks O;atdsksa dk xq.kuiQy (x – 7) (x2 + 8x + 12) gSA ;fnbu O;atdksa dk eúlú (x + 6) gks] rks budk yúlú gS(1) x2 – 5x + 14 (2) x2 + 5x – 14

(3) x2 – 5x – 14 (4) x2 + 5x + 14

6- (0-00032)0-6 dk eku gS(1) 0-08 (2) 0-008(3) 0-8 (4) 8

7- rhu yM+dksa dh vkSlr vk;q 16 o"kZ gSA ;fn mudh vk;q dkvuqikr 4 % 5 % 7 gks] rks lcls NksVs yM+ds dh vk;qfdruh gS(1) 8 o"kZ (2) 9 o"kZ(3) 12 o"kZ (4) 16 o"kZ

8- ,d cYysckt viuh 51oha iw.kZ ikjh esa dqN ju cukrk gS]ftlls mldk vkSlr 59-6 ls c<+dj 60 gks tkrk gSA cYysckt}kjk 51oha ikjh esa cuk;s x;s ju gSa(1) 75 (2) 70(3) 100 (4) 80

9- n ds fdl eku ds fy, nn

nn

ba

ba

+

+ ++ 11

] a vkSj b dk

lkekUrj ekè; gS(1) 1 (2) 0(3) &1 (4) 2

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

(1) b = a + c (2) 2

cba

+=

(3) 2

bac

+= (4)

2

cab

+=

11- jhrk ,oa mldh eka dh mez dk vuqikr 3 % 11 gSA mudh vk;qdk varj 24 o"kZ gSA 3 o"kZ ckn mudh vk;q dk vuqikr gksxk

(1) 2 % 3 (2) 1 % 2

(3) 1 % 3 (4) 3 % 5

12- 9 vkSj 36 fdlh forrkuqikr ds ozQe'k% izFke ,oa f}rh;in gSa] bldk r`rh;kuqikrh gS

(1) 36 (2) 72

(3) 144 (4) 324

13- ;fn (a + b) : (b + c) : (c + a) = 6 : 7 : 8 rFkka + b + c = 14 gks] rks c dk eku gS

(1) 6 (2) 7

(3) 8 (4) 14

14- ,d feL=kh ,d LdwVj ftldk vafdr ewY; ` 2600 gS]dks 10» vkSj 5» ozQfed cV~Vksa ij [kjhnrk gSA ;fn ogbldh ejEer vkfn ij ` 477 [kpZ djs vkSj ` 2835 eascsp ns rks lkSns esa ykHk vFkok gkfu izfr'kr gS

(1) 5» ykHk (2) 5» gkfu

(3) 7» ykHk (4) 7» gkfu

15- ` 370 dks A, B rFkk C esa 1 1 1

: :4 5 6

ds vuqikr esa ckaVk

tk, rks A dks fdruk fgLlk feysxk\

(1) 180 (2) 120

(3) 150 (4) 160

16- ,d O;kikjh ds ikl rhu izdkj ds nw/ rhu ek=kkvksa 435yhVj] 493 yhVj vkSj 551 yhVj esa gSA mls iwjk nw/ fcukfeyk, Hkjus ds fy, ,d gh eki ds de ls de fdrus crZupkfg,

(1) 51 (2) 45

(3) 61 (4) 47

17- A, B ,oa C ,d lk>k O;kikj 'kq: djrs gSa ftlesa A dhlk>snkjh ` 10000 gSA ;fn ` 1000 ds dqy ykHk esa ls] Adks 500 ,oa 300 izkIr gksrs gSa] rks C us O;kikj esa fdrus:i;s yxk, Fks\

(1) 4000 (2) 5000

(3) 6000 (4) 9000

18- ;fn o`Ùk dh f=kT;k esa 5» dh o`f¼ gksrh gS] rks blds{ks=kiQy esa fdrus izfr'kr dh of¼ gksxh \

(1) 25» (2) 10-25»

(3) 17-25» (4) 15»

vadxf.kr

Page 3: SSC(Tier - II) - 2013 (MTP - 3) final - SSC Exam Tutornotes.sscexamtutor.com/Maths/Questions/SSC MAINS (MATHS...24. A sells a good to B at a profit of 20% and B sells it to C at a

Centres at: ����� MUKHERJEE NAGAR � � � � � MUNIRKA � � � � �UTTAM NAGAR � � � � �DILSHAD GARDEN ����� ROHINI �����BARDARPUR BORDER

=============================================================

Ph: 011-27607854, 08860-333-333 3

19. By reducing the entry fee by 25% in a circusshow, the number of viewers increased by30%. Then the percent increase or decreasein the income from the entry fee is(1) 2.5% increase (2) 0.5% decline(3) 2.5% decline (4) 3% increase

20. If 60 is subtracted from a number it is

reduced by 80%. The 3

2rd of the number is

(1) 75 (2) 50(3) 100 (4) 60

21. The value of

20of%9020of%4020of%10 −+ is

(1) 0 (2) 10(3) 5 (4) 20

22. An article is sold for Rs. 575 the amount of

profit is equal to the amount of loss if it is

sold for Rs. 385, the cost price for this article is

(1) 496 (2) 400

(3) 480 (4) 475

23. A person bought a certain quantity of rice

at the rate of ` 150 per quintal. 10% of the

rice was spoiled. At what price (per quintal)

should he sell the remaining rice to earn

20% profit

(1) 200 (2) 180

(3) 225 (4) 175

24. A sells a good to B at a profit of 20% and B

sells it to C at a profit of 25%. If C pays

` 225 for it, what was the cost of price for A?

(1) 200 (2) 150

(3) 175 (4) 162.5

25. A dealer marks the price of an article 40%more than the cost price. He allows 10%commission, his profit percent is(1) 26% (2) 30%(3) 36% (4) 40%

26. An article was sold at 25% loss. Had thearticle been sold for ` 60 more there wouldhave been a profit of 5%. The cost price ofthe article is(1) 150 (2) 200(3) 250 (4) 300

27. On selling an article for ` 270 the loss isequal to the profit, if the article is sold at10% profit. The cost price of the article is(1) 290 (2) 310(3) 300 (4) 363

28. A factory has priced the cycles at ` 725 each

and allows a discount of 16% to the traders.If they gain 5%, find the cost ofmanufacture?

(1)

`

680 (2)

`

580

(3)

`

575 (4)

`

480

29. A dishonest dealer professes to sell his goods

at cost price by using a false weight and

thus gains

111 %

9

. For weighing a kilogram,

he uses a weight of

(1) 960 gm. (3) 940 gm .

(3) 920 gm. (4) 900 gm.

30. By selling an article at 80% of its marked

price, a trader makes a loss of 10%. What

will be the profit percentage if he sells it at

95% of its marked price?

(1) 6.9 (3) 5

(3) 5.9 (4) 12.5

31. If the work done by (x - 1) men in (x +1) days

is to the work done by (x + 2) men in (x - l)

days is in the ratio of 9 : 10, then x is equal

to

(1) 5 (3) 6

(3) 7 (4) 8

32. Simple interest on a sum of money for

5 years is 5

2times the amounts, the rate of

simple interest is

(1) 13% (2) %3

112

(3) %3

114 (4) %

3

113

33. If the difference of compound interest and

simple interest for 3 years at the rate of

5% per annum is ` 11.40, then the

principal amount is

(1) 1500 (2) 1475

(3) 1395 (4) 1495

34. The rate of compound interest is 10%. If

the amount of the first instalment is Rs. x,

then the principal amount is

(1) `

+

100

101x (2) `

100

101x

(3) ` 100

10×x (4) `

100

10÷x

35. On compound interest a certain amount

becomes p times in a year, then in how

many years it will become q times.

(1) p

q

log

log(2)

p

qa

log

log

(3) q

pa

log

log(4)

q

p

log

log

Page 4: SSC(Tier - II) - 2013 (MTP - 3) final - SSC Exam Tutornotes.sscexamtutor.com/Maths/Questions/SSC MAINS (MATHS...24. A sells a good to B at a profit of 20% and B sells it to C at a

Centres at: ����� MUKHERJEE NAGAR � � � � � MUNIRKA � � � � �UTTAM NAGAR � � � � �DILSHAD GARDEN ����� ROHINI �����BARDARPUR BORDER

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Ph: 011-27607854, 08860-333-333 4

19- ,d ldZl esa n'kZdksa ds izos'k 'kqYd esa 25» deh djus lsn'kZdksa dh la[;k esa 30» dh o`f¼ gks xbZA crkb, fd izos'k'kqYd ls izkIr vk; esa fdrus izfr'kr deh ;k o`f¼ gqbZ(1) 2-5» o`f¼ (2) 0-5» deh(3) 2-5» deh (4) 3» o`f¼

20- fdlh la[;k esa ls tc 60 ?kVk fn;k tkrk gS] rks og vius

ls 80» ?kV tkrh gs] ml la[;k dk 3

2gS

(1) 75 (2) 50(3) 100 (4) 60

21- dk eku gS(1) 0 (2) 10(3) 5 (4) 20

22- ,d oLrq dks 575 :i;s esa cspus ij ftruk ykHk gksrk gSmruh gh gkfu bls 385 :i;s esa cspus ls gksrh gSA mloLrq dk ozQ; ewY; gS(1) ` 496 (2) ` 400(3) ` 480 (4) ` 475

23- ,d O;fDr ` 150 izfr fDoaVy dh nj ls dqN pkoy[kjhnrk gSA pkoy dk 10» ckcZn gks tkrk gSA 'ks"k pkoyfdl Hkko (izfr fDoaVy) ls csps fd 20» equkiQk gks(1) ` 200 (2) ` 180(3) ` 225 (4 ` 175

24- A fdlh oLrq dks B ds gkFkksa 20» ykHk ysdj csp nsrk gSrFkk B, C ls 25» ykHk ysdj og oLrq iqu% csp nsrk gSA;fn C dks ` 225 dk Hkqxrku djuk iM+s rks A us bldsfy, fdrus :i;s dk Hkqxrku fd;k Fkk(1) ` 200 (2) ` 150(3) ` 175 (4) ` 162-5

25- ,d O;kikjh vius eky ij ozQ; ewY; ls 40» c<+kdj ewY;vafdr djrk gSA vafdr ewY; ij 10» deh'ku nsrk gSAmldk izfr'kr ykHk gS(1) 26» (2) 30»(3) 36» (4) 40»

26- ,d oLrq dks 25» gkfu ij cspk x;kA ;fn mls 60 vfèkdesa cspk tkrk rks 5» ykHk gksrkA oLrq dk ozQ; ewY; gS(1) 150 (2) 200(3) 250 (4) 300

27- fdlh oLrq dks ` 270 esa cspus ij mruh gh gkfu gksrh gSftruk fd oLrq 10» ykHk ij cspus ij ykHk gksrk gS] rks oLrqdk ozQe ewY;(1) 290 (2) 310(3) 300 (4) 363

28- ,d dkj[kkus us izR;sd lkbfdy dk ewY; ` 725 r; fd;svkSj ml ij O;kikfj;ksa dks 16» dk cV~Vk fn;kA bl rjg vxjmUgsa 5» ykHk izkIr gksrk gS rks izR;sd lkbfdy dk mRiknuewY; gS &(1) 680 (2) 580(3) 575 (4) 480

29- ,d csbeku nqdkunkj vius oLrq dks ozQ; ewY; ij gh csprk

gS ijUrq xyr eki&rkSy dk mi;ksx djds %9

111 dk ykHk

dekrk gS rks crkb, fd 1 fdyksxzke dh txg og fdrukrkSyrk gS \

(1) 960 xzke (2) 940 xzke

(3) 920 xzke (4) 900 xzke

30- ,d O;kikjh dks oLrq dks vafdr ewY; ds 80» ewY; ij cspusls 10» dh gkfu gksrh gSA vxj og oLrq dks mlds vafdrewY; ds 95» ewY; ij csps] rks mls fdrus izfr'kr dk ykHkizkIr gksxk \

(1) 6-9 (2) 5

(3) 5-9 (4) 12-5

31- vxj (x – 1) O;fDr;ksa (x + 1) fnuksa esa fd, x, dk;Z ,oa(x + 2) O;fDr;ksa }kjk (x – 1) fnuksa esa fd, x, dk;Z dkvuqikr 9 % 10 gS] rks x dk eku gS &

(1) 5 (2) 6

(3) 7 (4) 8

32- fdlh ?ku ij 5 o"kZ dk lk/kj.k C;kt mlds feJ/u dk

5

2 gS] rks lk/kj.k C;kt dh nj gS

(1) 13» (2) %3

112

(3) %3

114 (4) %

3

113

33- ;fn fdlh /u ds 5» okf"kZd nj ls 3 o"kZ ds pozQo`f¼vkSj lk/kj.k C;kt esa varj ` 11-40 gks] rks ewy/u gS

(1) 1500 (2) 1475

(3) 1395 (4) 1495

34- ;fn pozQo`f¼ C;kt dh nj 10» okf"kZd gSA izFke fdLr dhjkf'k ` x gks] rks ml fdLr dk ewy/u gS

(1) `

+

100

101x (2) `

100

101x

(3) ` 100

10×x (4) `

100

10÷x

35- ;fn dksbZ /u pozQo`f¼ C;kt ls a o"kZ esa p xquk gks tkrk gS]rks fdrus o"kZ esa q xquk gks tk;sxk

(1) p

q

log

log(2)

p

qa

log

log

(3) q

pa

log

log(4)

q

p

log

log

Page 5: SSC(Tier - II) - 2013 (MTP - 3) final - SSC Exam Tutornotes.sscexamtutor.com/Maths/Questions/SSC MAINS (MATHS...24. A sells a good to B at a profit of 20% and B sells it to C at a

Centres at: ����� MUKHERJEE NAGAR � � � � � MUNIRKA � � � � �UTTAM NAGAR � � � � �DILSHAD GARDEN ����� ROHINI �����BARDARPUR BORDER

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36. A can do a work in 12 days. B is 60% more

efficient than A, B will complete the same

work in

(1) 2

17 days (2) 8 days

(3) 2

18 days (4) 7 days

37. A social service camp is planned to beconducted for 30 days. Required food isstored and the intended number of studentshave been admitted. After 20 days, thenumber of students is increased by 500because of unforeseen reasons. The campcould then be run for 5 more days only. Whatis the number of students originallyadmitted?(1) 1000 (2) 750(3) 500 (4) 250

38 The expenses of a hostel consist of twoparts, One part varies with the number ofinmates while the cither is alwaysconstant. When the number of inmates is200 and 250, the expenses are respectively

` 1300 and

`

1600. Then the expenses for

300 inmates are

(1)

`

1800 (2)

`

1900

(3) ` 2000 (4) ` 2l00

39.

th5

1

of a tank is filled with water. After

taking out 8 litre of water, th6

1of the tank

remains filled with water. The capacity of

the water tank is

(1) 240 litre (2) 280 litre

(3) 320 litre (4) 520 litre

40. Two pipes P and Q can fill a tank in 3 hrs.and 4 hrs. respectively. If both pipes areopened together, then after what time,should P be closed so that the tank is full in2 hrs., from the start(1) 1 hr. 10 min. (2) 1 hr. 15 min.(3) 1 hr. 20 min. (4) 1 hr. 30 min.

41. A man is late by 5 mintues to reach hisoffice from his house when he moves witha speed of 4 km/hour. If he moves with aspeed of 5 km/hour then he reaches hisoffice 4 minutes earlier, then the distanceof his office from his house is(1) 4 km (2) 3 km(3) 5 km (4) 2 km

42. An aeroplane travels distances 2500km,1200 km and 500 km at the rate of 500 km/hr, 400 km/hr and 250 km/hr respectively.The average speed is(1) 420km/hr (2) 410 km/hr(3) 405km/hr (4) 575 km/hr

43. Two trains with their speeds in the ratio of3 :4 are going in opposite directions alongparallel tracks. If each takes 3 seconds tocross a telegraph post, then the time takenby the trains, to cross each othercompletely, will be(1) 3 sec. (2) 4 sec.(3) 7 sec. (4) 21 sec.

44. It costs Rs. 10 a kilometer to fly and Rs. 2a kilometer to drive. If one travels 200 kmcovering x km of the distance by flying andthe rest by driving, then the cost of the tripis

(1) ` 2,000 (2)

`

24,000

(3)

`

(8x + 400) (4)

`

(l2x + 400)

45. The value of

7/2 5/21 2 2 3

2 4 3 5

5 7 5 7

5 7 5 7

−− −

− −

× × × × ×

is

(1) 150 (2) 125(3) 175 (4) 90

46. The roots of the equation ax2 + x + b = 0 areequal if(1) b2 = 4a (2) b2 < 4a

(3) b2 > 4a (4) ab =

4

1

47. Quadratic equation corresponding to the

roots 52 + and 52 − is

(1) x2 – 4x – 1 = 0 (2) x2 + 4x – 1 = 0(3) x2 – 4x + 1 = 0 (4) x2 + 4x + 1 = 0

48. Solution of the equation 3

10

1

1

1

1=

+

−+

+

x

x

x

xis

(1) 2±=x (2) 3±=x(3) x = 2, 3 (3) x = –2, 3

49. One factor of 5 + 8x – 4x2 is (2x + 1) thenanother factor is(1) 5 + 2x (2) –5 + 2x(3) 5 – 2x (4) –(5 + 2x)

50. If 131=+

xx , then value of 3

3 1

xx − is

(1) 27 (2) 30(3) 36 (4) 26

51. If 3725 =−x , then value of x is

(1) 8 (2) 250(3) 125 (4) 16

52. If 32x + 1 – 3x = 3x + 3 – 32, then values of x are(1) 1 and 2 (2) –1 and 3(3) 2 and 3 (4) –1 and 2

53. The product of two numbers is x

y. If one of

the numbers is 2y

x, then the other number is

(1) y

x

3

2 (2)

y

x2

(3)

x

y2

(4) x

y3

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36- A fdlh dke dks 12 fnuksa esa lEiUu djrk gSA B dhdk;Z{kerk A dh vis{kk 60» vf/d gS] rks mrus gh dkedks B fdrus fnuksa esa lEiUu djsxk \

(1) 2

17 fnuksa esa (2) 8 fnuksa esa

(3) 2

18 fnuksa esa (4) 7 fnuksa esa

37- 30 fnuksa ds fy, ,d lekt lsok f'kfoj dk vk;kstu fd;kx;kA f'kfoj esa ftrus Nk=kksa dks vkeaf=kr fd;k x;k] muds gsrqi;kZIr ek=kk esa Hkkstu tek dj yh xbZA 20 fnuksa ds i'pkr~fdlh dkj.ko'k Nk=kksa dh la[;k esa vpkud 500 dh c<+ksrjhgks xbZ ftlds dkj.k f'kfoj vkSj 5 fnuksa rd gh py ik;kArks f'kfoj esa vkeaf=kr fd, x, Nk=kksa dh la[;k Fkh&(1) 1000 (2) 750(3) 500 (4) 250

38- ,d Nk=kkokl dk dqy [kpZ nks Hkkxksa esa foHkDr gS] ftlesa ls,d Hkkx Nk=kksa dh la[;k ij fuHkZj djrk gS tcfd nwljk HkkxlnSo leku gksrk gSA tc Nk=kksa dh la[;k 200 ,oa 250 gks]rks dqy [kpZ ozQe'k% 1300 ,oa 1600 gksrk gS rks 300 Nk=kksads fy, dqy [kpZ gksxk&(1) 1800 (2) 1900(3) 2000 (4) 2100

39- ,d Vadh dk 5

1 Hkkx ikuh ls Hkjk gS] mlesa ls 8 yhVj ikuh

fudkyus ij mlesa 6

1 Hkkx ikuh ls Hkjk jgk tkrk gS] rks iwjh

Vadh esa fdrus yhVj ikuh vk ldrk gS

(1) 240 yhVj (2) 280 yhVj

(3) 320 yhVj (4) 520 yhVj40- nks ufy;ka P ,oa Q] ,d Vadh dks ozQe'k% 3 ?kaVs ,oa 4 ?kaVs

esa Hkj ldrs gSaA ;fn nksuksa ufy;ksa dks ,d lkFk [kksy fn;k tk,rks fdrus le; ckn uyh P dks can dj fn;k tk, rkfd Vadh2 ?kaVs esa ('kq: ls) Hkj tk,\(1) 1 ?kaVk 10 feuV (2) 1 ?kaVk 15 feuV(3) 1 ?kaVk 20 feuV (4) 1 ?kaVk 30 feuV

41- ?kj ls 4 fdeh@?kaVk dh pky ls pydj tkus ij ,dO;fDr vius dk;kZy; 5 feuV nsjh ls igqaprk gSA ;fn og5 fdeh@?kaVj dh pky ls dk;kZy; tk;s rks 4 feuV tYnhigqaprk gS] rks mls ?kj ls dk;kZy; dh nwjh gS(1) 4 fdeh (2) 3 fdeh(3) 5 fdeh (4) 2 fdeh

42- ,d gokbZ tgkt 2500fdyksehVj] 1200 fdyksehVj ,oa 500fdyksehVj dh nwfj;ka ozQe'k% 500 fdyksehVj@?kaVk] 400 fdyksehVj,oa 250 fdyksehVj izfr ?kaVk dh xfr ls r; djrh gS] rksmldh vkSlr xfr gS&(1) 420 fdyksehVj@?kaVk (2) 410 fdyksehVj@?kaVk(3) 405 fdyksehVj@?kaVk (4) 575fdyksehVj@?kaVk

43- 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\(1) 3 lsds.M (2) 4 lsds.M(3) 7 lsd.M (4) 21 lsds.M

44- gokbZ tgkt vkSj dkj }kjk ;k=kk dk izfr fdyksehVj [kpZozQe'k% 10 ,oa 2 gSA ;fn dksbZ O;fDr 200 fdyksehVjdh dqy ;k=kk esa ls x fdyksehVj dh ;k=kk gokbZ tgkt ls iwjkdjrk gS rks iwjh ;k=kk dk [kpZ gS &(1) 2000 (2) 2400(3) (8x $ 400) (4) (12x $ 400)

45-7/2 5/2

1 2 2 3

2 4 3 5

5 7 5 7

5 7 5 7

−− −

− −

× × × × ×

dk eku gS

(1) 150 (2) 125(3) 175 (4) 90

46- lehdj.k ax2 + x + b = 0 ds ewy leku gksaxs ;fn(1) b2 = 4a (2) b2 < 4a

(3) b2 > 4a (4) ab =

4

1

47- ewyksa 52 + rFkk 52 − ds laxr f}?kkr lehdj.k gS(1) x2 – 4x – 1 = 0 (2) x2 + 4x – 1 = 0

(3) x2 – 4x + 1 = 0 (4) x2 + 4x + 1 = 0

48- lehdj.k 3

10

1

1

1

1=

+

−+

+

x

x

x

x dk gy gS

(1) 2±=x (2) 3±=x(3) x = 2, 3 (4) x = –2, 3

49- 5 + 8x – 4x2 dk ,d xq.ku[k.M (2x + 1) gS] rksnwljk xq.ku[k.M gS(1) 5 + 2x (2) –5 + 2x

(3) 5 – 2x (4) –(5 + 2x)

50- ;fn 131=+

xx gks] rks 3

3 1

xx − dk eku gS

(1) 27 (2) 30(3) 36 (4) 26

51- ;fn 3725 =−x gS rks x dk eku gS(1) 8 (2) 250(3) 125 (4) 16

52- ;fn 32x + 1 – 3x = 3x + 3 – 32 rks x ds eku gSa(1) 1 vkSj 2 (2) &1 vkSj 3(3) 2 vkSj 3 (4) &1 vkSj 2

53- nks la[;kvksa dk xq.kuiQy x

y gSA ;fn buesa ls ,d la[;k

2y

x gks] rks nwljh la[;k gS

(1) y

x

3

2 (2)

y

x2

(3)

x

y2

(4) x

y3

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54. For x = 2y + 6, the value of x3 – 8y3 – 36xy –

216 is

(1) 4 (2) 0

(3) –2 (4) –1

55. If 12

13sec =θ then value of

θ+

θ−

tan1

tan1is

(1) 17

7(2)

7

17

(3) 7

13(4)

13

7

56. If 1tan =A and 3tan =B then value of

cos(A + B) is

(1) 22

31+(2)

2

31−

(3) 22

31−(4)

4

31+

57. If tan A = 12 − then value of sin2A is

(1) 2

1(2)

2

12 +

(3) 2

1(4) 2

58. At a point A, the angle of elevation of a tower

is found to be such that its tangent is 12

5.

On walking 240 meter towards the tower

the tangent of the angle of elevation is

found to be 4

3. The height of the tower is

(1) 220 m (2) 200 m

(3) 225 m (4) 240 m

59. The value of

4cot2 45º – sec2 60º + sin2 30º is

(1) 4

1−(2)

4

1

(3) 2

1(4)

2

1−

60. The value of

2 2 2 24 1 43tan 30º sin 60º cosec 45º sin 90º

3 2 3− − +

is

(1) 3 (2) 3

1

(3) 2 (4) 3

61. A straight tree breaks due to a storm and

the broken part bends so that the top of the

tree touches the ground making an angle

of 30° with the ground. The distance from

the foot of the tree of the point where the

top touches the ground is 10 meters, The

height of the tree (in metres) is

(1) 10 3

3(2)

10( 3 1)−

(3)

10( 3 1)+

(4)

10 3

62. A landmark on the bank of a river are

observed from two points A and B on the

opposite bank of the river. The lines of sight

make equal angles of 45° with the bank of

the river. If AB = 1 km, then the width of

the river (in kilometre) is

(1)

3 2

2

(2) 2

(3)

3

2

(4)

1

2

63. A person of height 2 metres wants to get a

fruit which is on a pole of height10

3 metres. If he stands at a distance of

4

3

metres from the foot of the pole, then

the angle at which he should throw the

stone, so that it hits the fruit is

(1) 60° (2) 45°

(3) 30° (4) 15°

64. The quadrilateral, whose vertices are

(–1, 1), (0, –3), (5, 2) and (4, 6) is

(1) a square (2) a rectangle

(3) a rhombus (4) a parallelogram

65. The radius of a circular wheel is

4

31

. How

many revolutions will it make in travelling

11 km.

7

22

(1) 1000 (2) 1100

(3) 900 (4) 1200

66. If the area of a trapezium is 250 sq.m and

the lengths of the two parallel sides are

15 m and 10 m respectively then distance

between the parallel sides of the

trapezium is

(1) 15 m (2) 17 m

(3) 20 m (4) 12 m

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54- tc x = 2y + 6 gS] rks x3 – 8y3 – 36xy – 216 dkeku gS

(1) 4 (2) 0

(3) &2 (4) &1

55- ;fn 12

13sec =θ gks] rks

θ+

θ−

tan1

tan1 dk eku gS

(1) 17

7(2)

7

17

(3) 7

13(4)

13

7

56- ;fn 1tan =A vkSj 3tan =B gks] rks )cos( BA +

dk eku gS

(1)

22

31+

(2) 2

31−

(3) 22

31−(4)

4

31+

57- ;fn tan A = 12 − , rks sin2A dk eku gS

(1) 2

1(2)

2

12 +

(3) 2

1(4) 2

58- ,d fcUnq A ij ,d feukj dk mUu;u dks.k bl izdkj gS

fd blds tan dk eku 12

5 gSA 240 ehVj ehukj dh vksj

pyus ij mUu;u dks.k ds tan dk eku 4

3 gks tkrk gSA

ehukj dh mQapkbZ gSA

(1) 220 ehVj (2) 200 ehVj

(3) 225 ehVj (4) 240 ehVj

59- 4cot2 45º – sec2 60º + sin2 30º dk eku gS

(1) 4

1−(2)

4

1

(3) 2

1(4)

2

1−

60- 2 2 2 24 1 43tan 30º sin 60º cosec 45º sin 90º

3 2 3− − +

dk eku gS

(1) 3 (2) 3

1

(3) 2 (4) 3

61- ,d lh/k yack isM+ vka/h ds dkj.k VwV tkrk gS vkSj VwVk HkkxfrjNk gksdj lrg ij bl izdkj fxjrk gS fd VwVs gq, isM+ dk'kh"kZ lrg ls 300 dks.k cukrk gSA isM+ ds ry ls VwV dj lrgij fxjs gq, 'kh"kZ dh nwjh 10 ehVj gS] rks ml isM+ dh dqyyackbZ gS &

(1) 3

310ehVj (2) )13(10 − ehVj

(3) )13(10 + ehVj (4) 310 ehVj

62- unh ds nksuksa fdukjksa ij fLFkr nks fcUnq,a A vkSj B ls] unh dsfdukjs fLFkr ,d lhekfpUg dks ns[kk tkrk gSA n`f"V js[kkfdukjksa ls 450 ds cjkcj dks.ksa cukrh gSA ;fn AB = 1 fdehgS rks unh dh pkSM+kbZ (fdyksehVj esa) gS &

(1) 2

23(2) 2

(3) 2

3(4)

2

1]

63- 2 ehVj mQapkbZ dk ,d O;fDr 3

10ehVj mQaps [kaHks ds mQij

ls ,d iQy mrkjuk pkgrk gSA ;fn og O;fDr [kaHks ds vkèkkj

ls 3

4ehVj dh nwjh ij gS rks og ,d iRFkj dks fdrus fMxzh

dks.k ij mNkys rkfd og iQy dks uhps fxjk lds \

(1) 600 (2) 450

(3) 300 (4) 150

64- fcUnqvksa (&1] 1)] (0] &3)] (5] 2) vkSj (4] 6) ls fufeZrprqHkqZt gksxk

(1) oxZ (2) vk;r

(3) leprqHkqZt (4) lekUrj prqHkqZt

65- fdlh oÙkkdkj ifg, dh f=kT;k 4

31 ehVj gSA 11 fdyksehVj

dh ;k=kk djus ds fy, bls fdrus pDdj yxkus

gksaxs\

7

22

(1) 25» (2) 10-25»

(3) 17-25» (4) 15»

66- ;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

(1) 15 ehVj (2) 17 ehVj

(3) 20 ehVj (4) 12 ehVj

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67. The hypotenuse of a right angled triangle

is 6 meter more than twice the shortest

side. If the third side is 2 meter less than

the hypotenuse then length of the shortest

side of the triangle is

(1) 15 m (2) 10 m

(3) 24 m (4) 20 m68. In the given figure if DE || BC, AD = x + 4,

DB = x + 3, AE = 2x – 1 and EC = x + 1, thenvalue of x is

A

B C

D E

(1) 5 (2) 6

(3) 3 (4) 7

69. If in ABC∆ and

DEF∆

,

º50=∠A

, º70=∠B ,

º60=∠C , º60=∠D , º70=∠E and º50=∠F .

Which of the following is correct ?

(1) DEFABC ∆∆ ~ (2) EDFABC ∆∆ ~

(3) DFEABC ∆∆ ~ (4) FEDABC ∆∆ ~

70. If in a triangle ABC, AB = AC, ºxA =∠ ,

º2xB =∠ then value of

C∠(1) 60º (2) 36º

(3) 72º (4) 108º

71. The sum of exterior angles of an n-side

polygon is

(1) n right angles

(2) 2n right angles

(3) (2n – 4) right angles

(4) 4 right angles

72. The number of sides in a regular polygon

is 10. Its each interior angle is

(1) 36º (2) 72º

(3) 144º (4) 90º

73. How much time does the minute hand of a

watch take to describe an angle of

2

radians

(1) 60 minutes (2) 45 minutes

(3) 30 minutes (4) 15 minutes

74. If PAB is a secant of a circle and PT is atangent drawn from an exterior point. IfPA = 3 cm and PT = 6 cm, then AB is(1) 15 cm (2) 9 cm(3) 12 cm (4) 6 cm

75. AB and CD are chords of a circleintersecting at P inside the circle. If CD =18 cm, AP = 18 cm and DP = 6cm, thenvalue of BP is(1) 4 cm (2) 8 cm(3) 12 cm (4) 6 cm

76. A room 8 meter long, 6 meter wide and 3

meter high has two windows of the size

2

11 m × 1 m and a door of the size 2m ×

2

11

m. The cost of papering the walls with paper

of width 50 cm at 25 paisa per meter is

(1) 50 (2) 45

(3) 60 (4) 39

77. ABCD is a trapezium in which is AB||CD

and the diagonals intersect at O. If AB = 6 cm

and DC = 3 cm then the ratio of the areas

of AOB∆ and

COD∆

is

(1) 4 : 1 (2) 1 : 2

(3) 2 : 1 (4) 1 : 4

78. The area of a squared field is 4225 sq. meter

and there is a path way of 2.5 meter wide

around its periphery, the area of the path

way is

(1) 675 sq. m (2) 625 sq. m

(3) 725 sq. m (4) 575 sq. m

79. If length of the equal sides of an isosceles

triangle is a and the length of the third side

is b then area of the isosceles triangle is

(1)

2244

baa

sq. units

(2) 224

4ab

b− sq. units

(3) 224

4ba

b− sq. units

(4) 224

4ab

a− sq. units

80. The lengths of two adjacent sides of a

parellelogram are 5 cm and 3.5 cm

respectively. One of its diagonals is 6.5 cm

long, the area of the parallelogram is

(1) 38 sq. cm (2) 312 sq. cm

(3) 15 sq. cm (4) 310 sq. cm

81. If the heights of two cones are in the ratio

1 : 4 and diameters of their bases are in

the ratio 4 : 5. The ratio of their volumes is

(1) 4 : 5 (2) 4 : 25

(3) 16 : 25 (4) 16 : 5

82. A chord of a circle of radius 6 cm makes an

angles of 60º at the centre. Area of the minor

sector made by the chord is

(1) )323(3 −π sq. cm

(2) )333(3 −π sq. cm

(3) )332(3 −π sq. cm

(4) )33(3 −π sq. cm

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67- ,d ledks.k f=kHkqt dk d.kZ mldh lcls NksVh Hkqtk dsnqxqus ls 6 ehVj vf/d gSA ;fn rhljh Hkqtk d.kZ ls 2ehVj NksVh gks] rks f=kHkqt dh lcls NksVh Hkqtk dh yEckbZ gS(1) 15 ehVj (2) 10 ehVj(3) 24 ehVj (4) 20 ehVj

68- fn;s x;s fp=k esa ;fn BC || DE, AD = x + 4, DB = x

+ 3, AE = 2x – 1 ,oa EC = x + 1 gks] rks x dk eku gSA

B C

D E

(1) 5 (2) 6

(3) 3 (4) 7

69- ;fn ABC∆ vkSj

DEF∆

esa

,º50=∠A

,º70=∠B

,º60=∠C ,º60=∠D º70=∠E ,oa º50=∠F

gks] rks fuEufyf[kr esa ls dkSu lgh gS \

(1) DEFABC ∆∆ ~ (2) EDFABC ∆∆ ~

(3) DFEABC ∆∆ ~ (4) FEDABC ∆∆ ~

70- ;fn f=kHk qt es a ABC es a AB = AC, ºxA =∠ ,

º2xB =∠

gks rks

C∠

dk eku gS

(1) 60º (2) 36º

(3) 72º (4) 108º

71- ,d n Hkqtk okys cgqHkqt dh Hkqtkvksa dks ,d gh ozQe esac<+kus ls cus cfgdks.kksa dk ;ksx gS

(1) n ledks.k (2) 2n ledks.k(3) (2n – 4) ledks.k (4) 4 ledks.k

72- ,d lecgqHkqt esa Hkqtkvksa dh la[;k 10 gS] rks mldsizR;sd var%dks.k dk eku gS

(1) 36º (2) 72º

(3) 144º (4) 90º

73- fdlh ?kM+h ds feuV dh lqbZ dks

2

jsfM;u dks.k dh

jpuk djus esa fdruk le; yxsxk

(1) 60 feuV (2) 45 feuV

(3) 30 feuV (4) 15 feuV74- ;fn PAB o`Ùk dh Nsnd js[kk gks rFkk PT ckg~; fcUnq ls

[khaph xbZ Li'kZ gks] tgka PA = 3 lseh rFkk PT = 6 lsehgks] rks AB dk js[kk eku gS(1) 15 lseh (2) 9 lseh(3) 12 lseh (4) 6 lseh

75- oÙk dh thok,a AB vkSj CD ijLij varfcUnq P ij izfrPNsndjrh gSA ;fn CD = 18 lseh] AP = 18 lseh vkSj DP =

6 lseh gks rks BP dk eku gS(1) 4 lseh (2) 8 lseh(3) 12 lseh (4) 6 lseh

76- 8 ehVj yacs] 6 ehVj pkSM+s vkSj 3 ehVj mQaps fdlh dejs

esa 2

11 ehVj × 1 ehVj vkdkj dh nks f[kM+fd;ka gSa ,oa

2 ehVj × 2

11 ehVj vkdkj dk ,d njoktk gSA nhokjksa

ij isij fcNkus esa fdruk [kpZ vk,xk ;fn 50 lseh pkSM+kisij 25 iSls izfr ehVj gks(1) ` 50 (2) ` 45(3) ` 60 (4) ` 39

77- ,d leyEc prqHkqZt ABCD esa AB ||CD gS ,oa bldsfod.kZ O fcUnq ij feyrs gSaA ;fn AB = 6 lseh ,oaDC = 3 lseh gks] rks AOB∆ ds {ks=kiQy ,oa

COD∆

ds {ks=kiQy dk vuqikr gS(1) 4 % 1 (2) 1 % 2(3) 2 % 1 (4) 1 % 4

78- ,d oxkZdkj eSnku dk {ks=kiQy 4225 oxZ ehVj gS rFkkblds pkjksa vksj 2-5 ehVj pkSM+k ekxZ cuk gqvk gS] ekxZdk {ks=kiQy gS(1) 675 oxZ ehVj (2) 625 oxZ ehVj(3) 725 oxZ ehVj (4) 575 oxZ ehVj

79- ;fn lef}ckgq f=kHkqt dh nks leku Hkqtkvksa dh yEckbZ a,oa rhljh Hkqtk dh yEckbZ b gks] rks lef}ckgq f=kHkqt dk{ks=kiQy gS

(1) 224

4ba

a− oxZ bdkbZ

(2) 224

4ab

b− oxZ bdkbZ

(3) 224

4ba

b− oxZ bdkbZ

(4) 224

4ab

a− oxZ bdkbZ

80- fdlh lekukUrj prqHkqZt dh nks vklUu Hkqtk,a ozQe'k% 5lseh ,oa 3-5 lseh gSa rFkk fod.kZ 6-5 lseh gSA lekukUrjprqHkqZt dk {ks=kiQy gS

(1) 38 oxZ lseh (2) 312 oxZ lseh

(3) 15 oxZ lseh (4) 310 oxZ lseh81- ;fn nks 'kadqvksa dh mQapkbZ dk vuqikr 1 % 4 gS rFkk muds

vk/kj ds O;kl dk vuqikr 4 % 5 gks] rks muds vk;ru dkvuqikr gS(1) 4 % 5 (2) 4 % 25(3) 16 % 25 (4) 16 % 5

82- ,d thok] 6 lsaVhehVj f=kT;k ds oÙk ds dsUnz ij 600 dk dks.kcukrh gSA thok }kjk fufeZr y?kq o`Ùk[k.M dk {ks=kiQy gS

(1) )323(3 −π oxZ lsaVhehVj

(2) )333(3 −π oxZ lsaVhehVj

(3) )332(3 −π oxZ lsaVhehVj

(4) )33(3 −π oxZ lsaVhehVj

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83. The perimeter of a square and an

equilateral triangle are equal. If the length

of the diagonal of the square is 212 , then

area of the equilateral triangle is

(1) 350 sq. cm (2) 364 sq. cm

(3) 316 sq. cm (4) 64 sq. cm

84. The area of a circle is halved when its

radius is decreased by n. The radius of the

circle is

(1) 12

n

−(2)

2n

2 1+

(3)

2n

2 1−

(4)

2n

2 1+

85. If the ratio of radii of the bases of two

cylinders is 2 : 3 and the ratio of their

heights is 5 : 3, then the ratio of their

volumes is

(1) 20 : 27 (2) 7 : 5

(3) 25 : 29 (4) 20 : 29

86. If the volume of a sphere is 38808 cubic

cm, then its surface area is

7

22

(1) 5500 sq. cm (2) 5544 sq. cm

(3) 4455 sq. cm (4) 5000 sq. cm

87. A cone, a hemisphere and a cylinder stand

on same base and have same height. The

ratio of their volumes is

(1) 2 : 1 : 3 (2) 1 : 2 : 3

(3) 3 : 1 : 2 (4) 1 : 3 : 2

88. The area of a quadrilateral whose diagonal

is 8 cm and the lengths of perpendiculars

drawn from opposite vertices are 5 cm and

3.5 cm respectively is

(1) 40 sq. cm (2) 34 sq. cm

(3) 17.5 sq. cm (4) 60 sq. cm

89. The dimensions of a cubiod are 18 cm × 12

cm × 9 cm. How many cubes of side 3 cm

can be made by melting the cuboid ?

(1) 60 (2) 55

(3) 69 (4) 72

90. What will be the volume of a right triangular

prism if the area of its base is 36 sq. cm

and height is 5 cm

(1) 36 cubic cm (2) 180 cubic cm

(3) 72 cubic cm (4) 90 cubic cm

Directions: (91-92): The Piechart given below

represents the marks obtained by a

student in five subjects. Total marks

obtained by the student is 450. Answer

no. 91-92 on the basis of pie-chart.

Physics

English

Maths

91. What percentage of the total obtainted

marks, the student has obtained in physics.

(1) 20% (2) 30%

(3) 35% (4) 25%

92. Average of the marks obtained in five

subjects is

(1) 82 (2) 90

(3) 95 (4) 75

Directions: (93-96): Study the pie chart and

answer the questions given below

Air conditioner manufacuring company

manufacturing 4 models of air

conditioners - A, B, C, D. In the year 2012

the company generates a revenue of Rs.

10 million by selling 1000 air

conditioners.

The cost of manufacturing is

A

B

C

D

Model-wise percentage breakup of revenues

60%

5%

15%

20%

Model-wise percentage breakup of sales (units)

A

B

C

D

10%

40%25%

25%

Profit = Sales (value) - Manufacturing cost

Unit sales and Revenue Earned by AC

Manufacturing company

93. For which model (s) is the selling price per

unit greater than the average selling price ?(1) D (2) C(3) B (4) A

94. Model C will generate a profit of (in Rs.million)(1) 0.75 (2) 7.5(3) 10 (4) 1.5

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83- ,d oxZ rFkk ,d leckgq f=kHkqt dh ifjekisa leku gSaA ;fn

oxZ ds fod.kZ dh yEckbZ 212 lseh gks] rks f=kHkqt dk

{ks=kiQy gS

(1) 350 oxZ lsaeh (2) 364 oxZ lsaeh

(3) 316 oxZ lsaeh (4) 64 oxZ lsaeh

84- fdlh o`Ùk dh f=kT;k esa n dh deh djus ls o`Ùk dk {ks=kiQy?kVdj vk/k jg tkrk gS] o`Ùk dh f=kT;k gS

(1) 12

n

−(2)

2n

2 1+

(3)

2n

2 1−

(4)

2n

2 1+

85- ;fn nks csyuksa ds vk/kjksa dh f=kT;kvksa dk vuqikr 2 % 3 gSrFkk mudh mQ¡pkb;ksa dk vuqikr 5 % 3 gS rks muds vk;ruksadk vuqikr gksxk

(1) 20 % 27 (2) 7 % 5

(3) 25 % 29 (4) 20 % 29

86- ,d xksys dk vk;ru 38808 ?ku lseh gS] rks xksys dk i`"Bh;

{ks=kiQy gS

7

22

(1) 5500 oxZ lseh (2) 5544 oxZ lseh

(3) 4455 oxZ lseh (4) 5000 oxZ lseh

87- ,d 'kadq] v¼Zxksyk vkSj csyu ,d gh vk/kj vkSj mQapkbZ ijcus gSa] muds vk;ruksa dk vuqikr gS

(1) 2 % 1 % 3 (2) 1 % 2 % 3

(3) 3 % 1 % 2 (4) 1 % 3 % 2

88- ,d prqHkqZt dk fod.kZ 8 lseh ,oa fod.kZ ij lEeq[k 'kh"kksZals Mkys x;s yEcksa dh yEckbZ ozQe'k% 5 lseh ,oa 3-5 lseh gks]rks prqHkqZt dk {ks=kiQy gS

(1) 40 oxZ lseh (2) 34 oxZ lseh

(3) 17-5 oxZ lseh (4) 60 oxZ lseh

89- ,d ?kukHk dh eki 18 lseh × 12 lseh × 9 lseh gSA bl?kukHk dks fi?kykdj 3 lseh Hkqtk okys fdrus ?ku cuk;s tkldrs gSa \

(1) 60 (2) 55

(3) 69 (4) 72

90- ,d ledks.kh; f=kHkqtkdkj fizTe ds vk/kj dk {ks=kiQy 36oxZ lseh rFkk mQapkbZ 5 lseh gS] rks f=kHkqtkdkj fizTe dkvk;ru gS

(1) 36 ?ku lseh (2) 180 ?ku lseh

(3) 72 ?ku lseh (4) 90 ?ku lseh

funsZ'k% uhps fn, x, ikbZ pkVZ esa fdlh Nk=k }kjk ,d ijh{kkesa ikap fo"k;ksa ds izkIrkad fn;s x, gSaA mlds izkIrkadksadk ;ksx 450 gSA ikbZ pkVZ ds vk/kj ij iz'u la[;k 91o 92 dk mÙkj nhft,A

91- Nk=k us dqy vaadksa dk fdrus izfr'kr HkkSfrd 'kkL=k esa izkIrfd;k

(1) 20» (2) 30»

(3) 35» (4) 25»

92- ikapksa fo"k;ksa ds vkSlr izkIrkad gS

(1) 82 (2) 90

(3) 95 (4) 76

funsZ'k (93&96) fuEufyf[kr oÙk vkjs[k dks i<+dj fuEufyf[kriz'uksa ds mRrj nsaA

,d daiuh }kjk 4 izdkj (A, B, C, D) ds ekWMyksa dkmRiknu okrkuqdwfyr ;a=kksa fd;k tk jgk gSA o"kZ 2012esa dEiuh esa 1000 ;a=kksa dks cspdj #- 10 fefy;u dkykHk vftZr fd;k A

A

B

C

D 60%

A

B

C

D

10%

40%25%

25%

5%

15%

20%

93- fdl ekMy ds fy, izfr bdkbZ foozQ; ewY; vkSlr foozQ;ewY; ls vf/d gS\(1) D (2) C

(3) B (4) A

94- ekMy C ls izkIr ykHk (fey;u : esa) gS(1) 0.75 (2) 7.5

(3) 10 (4) 1.5

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95. What is the profit margin of Model B?(1) 12% (2) 9%(3) 20% (4) 25%

97. The approximate percentage increase inproduction of D type toys from 2003 to 2005was(1) 5% (2) 19%(3) 29% (4) 25%

98. The percentage drop in production of A typeof toys from 2002 to 2004 was(1) 10% (2) 20%(3) 25% (4) 30%

96. Percentage profit is maximum for whichmodels?(1) A (2) C(3) B (4) D

99. The approximate percentage increase of theproduction of all types of toys from 2005 to2006 was(1) 9% (2) 10%(3) 11% (4) 12%

100. The difference of the average number oftoys (in thousands) of the types of B and C,manufactured over the years was(1) 52 (2) 66(3) 68 (4) 72

Directions: (97-100): Number of toys of five types (A to E) manufactured over the years (inthousands) is given below. Study the table and answer the following questions.

Type

YearA

200 150 7878 90 65

70

85

75

80

105

110

125

135

100

92

120

130

80

175

160

185

150

180

195

220

B C D E

2002

2003

2004

2005

2006

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95- ekMy B ij izkI; ykHk izfr'kr gS(1) 12% (2) 9%(3) 20% (4) 25%

96- fdl ekMy ds fy, ykHk izfr'kr lokZf/d gS\(1) A (2) C(3) B (4) D

97- D izdkj ds f[kykSus ds mRiknu esa o"kZ 2003 ls o"kZ 2005 esaizfr'kr (yxHkx) o`f¼ gqbZ(1) 5% (2) 19%(3) 29% (4) 25%

98- D izdkj ds f[kykSuksa ds mRiknu esa o"kZ 2002 ls o"kZ 2004esa izfr'kr deh Fkh(1) 10% (2) 20%(3) 25% (4) 30%

99 o"kZ 2005 ls o"kZ 2006 esa dqy f[kykSus ds mRiknu esa izfr'kr(yxHkx) o`f¼ Fkh&(1) 9% (2) 10%(3) 11% (4) 12%

100- foxr dqy o"kksZa B ,oa C izdkj ds f[kykSus ds vkSlr mRiknuesa (gtkj esa) varj Fkk\(1) 52 (2) 66(3) 68 (4) 72

funsZ'k (97&100) % foxr o"kksaZ esa 5 izdkj ds f[kykSus (A ls E) dk mRiknu (gtkj esa) rkfydk dks è;kuiwoZd ns[kdjfuEufyf[kr iz'uksa ds mÙkj nsaA

A

200 150 7878 90 65

70

85

75

80

105

110

125

135

100

92

120

130

80

175

160

185

150

180

195

220

B C D E

2002

2003

2004

2005

2006