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1

1. The unit's digit in the product of7 35 × 3 71 × l l55 is –(A) 1 (B) 3(C) 7 (D) 9

2. If a =

2

10

1��

��

�, b =

5

1 and c =

100

1, then

which of the following statement iscorrect?(A) a < b < c (B) a < c < b(C) b > c > a (D) c < a < b

3. The HCF and LCM of two numbers are 21and 4641 respectively. If one of the numberlies between 200 and 300, then the twonumbers are –(A) 273, 357 (B) 273, 361(C) 273, 359 (D) 273, 363

4. A number when divided by 765 leaves aremainder 42. What will be the remainderif the number is divided by 17?(A) 8 (B) 5(C) 7 (D) 6

5. The hands of a clock are 10 cm and 7 cmrespectively. The difference between thedistance traversed by their extremities in3 days 5 hours is –(A) 4552.67 cm (B) 4557.67 cm(C) 4555.67 cm (D) 4559.67 cm

6. What is the third term in a sequence ofnumbers that leave remainder of 1, 2 and3 when divided by 2, 3 and 4 respectively?(A) 11 (B) 17(C) 19 (D) 35

7. The value of

2

1of

2

1

2

12

1of

2

1

2

1

�

� is –

(A) 3

2(B) 1

(C) 3

11(D) 3

8. If the ratio between the sum of n terms oftwo arithmetic progressions is (7n + 1) :(4n + 27), find the ratio of their 11th terms –(A) 148 : 113 (B) 147 : 118(C) 148 : 111 (D) 147 : 111

9. The sum of the series 0.4 + 0.44 + 0.444 +

..... to n terms is –

(A) 9

4

�

� �

��n

n10

118 (B)

9

4

�

� �

��n

n10

119

(C)9

4

�

� �

��n

n10

119 (D)

9

4

�

� �

��n

n10

118

SSC Mains Test- 16

10. In a group of 15 women, 7 have nose studs,8 have ear rings and 3 have neither. Howmany of these have both nose studs and earrings?(A) 0 (B) 2(C) 3 (D) 7

11. Ratio of Ashok's age to Pradeep's age is 4 : 3.Ashok will be 26 yr old after 6 yr. How old isPradeep now?(A) 18 yr (B) 21 yr(C) 15 yr (D) 24 yr

12. In the class of 52 students, the number ofboys is 2 less than the number of girls. Theaverage weight of the boys is 42 kg whilethe average weight of all the students is 52 kg.What is the average weight (in kg) of thegirls?(A) 61 (B) 39(C) 80 (D) 68

13. A mathamatics teacher calculated the totalmarks obtained by 35 students of 8th class.The average marks of the students was 72.But 36 marks for Reena was calculated inplace of 86 obtained by her. What was thecorrect average of all the students?(A) 73.14 (B) 74.31(C) 72.43 (D) 73.42

14. Several litres of acid were drawn off a 54lvessel full of acid and an equal amount ofwater added. Again, the same volume of themixture was drawn off and replaced bywater. As a result the vessel contained 24 lof pure acid. How much of the acid wasdrawn off initially?(A) 12 l (B) 16 l(C) 18 l (D) 24 l

15. 5 l of water is added to a certain quantity of

pure milk costing 3 /l. If by selling themixture at the same price as before, a profitof 20% is made, then what is the amount ofpure milk in the mixture?(A) 20 l (B) 30 l(C) 25 l (d) 35 l

16. The simple interest and the true discounton a certain sum for a given period and at a

given rate are 25 and 20 respectively.The sum is

(A) 500 (B) 200

(C) 250 (D) 10017. A retailer pourchase 40 pens at the cost

price of 36 pens from a wholeseller. If hesells all of them at a discount of 3%, thenwhat is his profit percent?(A) 9% (B) 10%

(C) 109

1% (D) 11%

2

1. 7 35 × 3 71 × l l55

(A) 1 (B) 3(C) 7 (D) 9

2. a =

2

10

1��

��

�, b =

5

1 c =

100

1

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

3.

(A) 273, 357 (B) 273, 361

4.

(A) 8 (B) 5

5.

(A) 4552.67 (B) 4557.67

(C) 4555.67 (D) 4559.67

6.

(A) 11 (B) 17

(C) 19 (D) 35

7.

(A) 3

2(B) 1

(C) 3

11(D) 3

8.

(7n + 1) : (4n + 27) –

(A) 148 : 113 (B) 147 : 118

(C) 148 : 111 (D) 147 : 111

9. 0.4 + 0.44 + 0.444 + .... n

(A) 9

4

�

� �

��n

n10

118 (B)

9

4

�

� �

��n

n10

119

(C)9

4

�

� �

��n

n10

119 (D)

9

4

�

� �

��n

n10

118

SSC Mains Test- 16

10.

(A) 0 (B) 2

11.

(A) 18 (B) 21

(C) 15 (D) 24

12.

(A) 61 (B) 39

13.

(A) 73.41 (B) 74.31

14.

(A) 12 (B) 16

(C) 18 (D) 24

15.

(A) 20 (B) 30

(C) 25 (d) 35

16.

–

(A) 500 (B) 200

(C) 250 (D) 100

17.

(A) 9% (B) 10%

(C) 109

1% (D) 11%


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3

18. Ramu sees a train passing over a 1 km longbridge. The length of the train is half thatof the bridge. If the train clears the bridgein 2 min, the speed of the train is –(A) 50 km/h (B) 43 km/h(C) 45 km/h (D) None of these

19. I have to reach a certain place at a certaintime and I find that I shall be 15 min toolate, if I walk at 4 km an hour and 10 mintoo soon, if I walk at 6 km an hour. How farhave I to walk?(A) 25 km (B) 5 km(C) 10 km (D) None of these

20. A and B run a 5 km race on a round courseof 400 m. If their speeds be in the ratio 5 : 4,how often does the winner pass the other?

(A) 2

14 times (B)

4

32 times

(C) 2

13 times (D)

2

12 times

21. Three numbers A, B and C are in the ratioof 12:15:25. If sum of these numbers is312, ratio between the difference of B andA and the difference of C and B is –(A) 3 : 7 (B) 10 : 3(C) 3 : 10 (D) 5 : 1

22. Sita and Gita enter into a partnership, Sita

contributes 5000 while Gita contributes

4000. After 1 month, Gita withdraws 4

1

part of her contribution and after 3 months

from the starting, Sita puts 2000 more.When Gita withdraws her money, Rita also

joins them with 7000. If at the end of1 yr, there is a profit of 1218, what will bethe share of Rita in the profit?

(A) 844.37 (B) 488.47

(C) 588.47 (D) None of these23. A man can row 30 km upstream and 44 km

downstream in 10 hours. Also, he can row40 km upstream and 55 km downstream in13 hours. The rate of the current is –(A) 3 km/h (B) 3.5 km/h(C) 4 km/h (D) 4.5 km/h

24. A cistern has a leak which would empty itin 8 hours. A tap is turned on which admits6 l a minute into the cistern and it is nowemptied in 12 hours. The cistern can hold–(A) 7860 l (B) 6840 l(C) 8640 l (D) None of these

25. A cistern can be filled by two pipes fillingseparately in 12 and 16 min respectively.Both pipes are opened together for a certaintime but being clogged, only 7/8 of fullquantity water flows through the former andonly 5/6 through the latter pipe. Theobstructions, however, being suddenlyremoved, the cistern is filled in 3 min fromthat moment. How long was it clogged beforethe full flow began?(A) 4.5 min (B) 2.5 min(C) 3.5 min (D) 5.5 min

26. Two men undertake to do a piece of work

for 600. One alone could do it in 6 daysand the other in 8 days. With the assistanceof a boy, they finish it in 3 days. The boy'sshare should be –

(A) 75 (B) 225

(C) 300 (D) 100

27. The retail price of a water geyser is 1265.If the manufacturer gains 10%, thewholesale dealer gains 15% and the retailergains 25%, then the cost of the product is –

(A) 800 (B) 900

(C) 700 (D) 600

28. A man's income is increased by 1200 andat the same time, the rate of tax to be paidis reduced from 12% to 10%. He now paysthe same amount of tax as before. What ishis increased income, if 20% of his incomeis exempted from tax in both cases?

(A) 6300 (B) 7200

(C) 4500 (D) 6500

29. A owes B 1573, payable 1 2

1 yr hence.

Also B owes A 1444.50, payable 6 monthshence. If they want to settle the accountforthwith, keeping 14% as the rate ofinterest, then who should pay whom andhow much?

(A) A to B, 28.50 (B) B to A, 37.50

(C) A to B, 50 (D) B to A, 50

30. Ravi gave 1200 on loan. Some amount hegave at 4% per annum simple interest andremaining at 5% per annum simple

interest. After two years, he got 110 asinterest. Then, the amounts given at 4%and 5% per annum simple interestrespectively are –

(A) 500, 700 (B) 400, 800

(C) 800, 400 (D) 1100, 100

31. I derive an annual income of 688.25 from

10000 invested partly at 8% per annumand partly at 5% per annum simple interest.How much of my money is invested at 5%?

(A) 3725 (B) 4225

(C) 4800 (D) 5000

32. If the difference between the simple andthe compound interests on same principal

amount at 20% for 3 yr is 48, then theprincipal amount must be –

(A) 650 (B) 600

(C) 375 (D) 400

4

18.

(A) 50

19.

(A) 25

20. A

B

(A) 2

14 (B)

4

32

(C) 1

3 (D) 1

2

21.

B A

C B (A) 3 : 7 (B) 10 : 3

22.

1

(A) 844.37 (B) 488.47

23.

(A) 3 (B) 3.5

24.

(A) 7860

25.

(A) 4.5 (B) 2.5

(C) 3.5 (D) 5.5

26.

(A) 75 (B) 225

(C) 300 (D) 100

27.

(A) 800 (B) 900

(C) 700 (D) 600

28.

(A) 6300 (B) 7200

(C) 4500 (D) 6500

29. A, B2

11

B A

(A) A, B 28.50 (B) B, A 37.50

(C) A, B 50 (D) B, A 50

30.

(A) 500, 700 (B) 400, 800

(C) 800, 400 (D) 1100, 100

31.

(A) 3725 (B) 4225

(C) 4800 (D) 5000

32.

(A) 650 (B) 600

(C) 375 (D) 400


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5

33. The ratio of the amount for two years underCI annually and for one year under SI is6 : 5. When the ratio of interest is same,then the value of the rate of interest is –(A) 12.5% (B) 18%(C) 20% (D) 16.66%

34. A train passes a station platform in 36 sand a man standing on the platform in20 s. If the speed of the train is 54 km/h,find the length of the platform.(A) 225 m (B) 235 m(C) 230 m (D) 240 m

35. A train consists of 12 bogies, each bogie is15 m long. The train crosses a telegraphpost in 18 s. Due to some problem, twobogies were detached. The train nowcrosses the telegraph post in –(A) 15 s (B) 12 s(C) 18 s (D) 20 s

36. On selling a pen at 5% loss and a book at

15% gain, Karim gains 7. If he sells thepen at 5% gain and the book at 10% gain,

then he gains 13. The actual price of thebook is –

(A) 100 (B) 80

(C) 10 (D) 40037. By selling an article at 80% of its marked

price, a merchant makes a loss of 12%. Whatwill be the percent profit or loss made bythe merchant if he sells the article at 95%of its marked price?(A) 5.5% profit (B) 1% loss(C) 5% profit (D) 4.5% profit

38. The distance between two stations A and Bis 450 km. A train starts from A and movestowards B at an average speed of 15 km/h.Another train starts from B, 20 min earlierthan the train at A and moves towards A atan average speed of 20 km/h. How far fromA will the two trains meet?(A) 190 km (B) 320 km(C) 180 km (D) 260 km

39. The ratio between the speeds of Rameshand Suresh is 3 : 4. If Ramesh takes 30 minmore than Suresh to cover a distance, thenthe actual times taken by Ramesh andSuresh respectively are –

(A) 2 h and 12

1 h (B) 2

2

1 h and 1

2

1 h

(C) 2 h and 1 h (D) 22

1 h and 1 h

40. A and B together can do a piece of work in30 days. A and B worked for 16 days and Bfinished the remaining work alone in 44days. In how many days will B finish thewhole work alone?(A) 24 days (B) 10 days(C) 32 days (D) 60 days

41. Tarun got 30% concession on the labelled

price of an article and sold it at 8750 with25% profit on the price he bought. What wasthe labelled price?

(A) 16000 (B) 12000

(C) 10000 (D) 1400042. The sale price of an article including the

sales tax is 616. The rate of sales tax is10%. If the shopkeeper has made a profit of12%, then the cost price of the article is –

(A) 500 (B) 515

(C) 550 (D) 60043. If 7% of the sale price of an article is

equivalent to 8% of its cost price and 9% ofits sale price exceeds 10% of its cost price

by 1, then what is the cost price of thearticle?

(A) 400 (B) 350

(C) 300 (D) 28044. Two numbers are such as the square of one

is 224 less than 8 times the square of theother. If the numbers be in the ratio of 3 : 4their values are –(A) 12, 16 (B) 6, 8(C) 9, 12 (D) None of these

45. If P = 49

362

2

�

�

x

x and Q =

7

6

�

�

x

x, then the value

of Q

Pis –

(A) 7

6

�

�

x

x(B)

7

6

�

�

x

x

(C) 6

7

�

�

x

x(D)

7

6

�

�

x

x

46. If the sum of n terms of an AP is (pn + qn2) ,where p and q are constants. Then, find thecommon difference.(A) 3q (B) 2q(C) q (D) 4q

47. If a, b and, c are in GP and zyx cba

111

�� .

Then the value of 2y is –(A) x – z (B) 2x – z(C) x + z (D) 2z – x

48. Two vessels contain spirit of 0.5 and 0.75concentrations. If 2 l from the first vesseland 3 l from the second vessel are mixed,then what will be the ratio of the spirit andthe water in the resultant solution?(A) 15 : 17 (B) 7 : 17(C) 13 : 7 (D) 17 : 15

49. If zx

y

� =

z

xy � =

y

x, then find x : y : z.

(A) 1 : 2 : 3 (B) 3 : 2 : 1

(C) 4 : 2 : 3 (D) 2 : 4 : 7

6

33.

(A) 12.5% (B) 18%

34.

–

(A) 225 (B) 235

35.

(A) 15 (B) 12

36.

(A) 100 (B) 80

400

37.

(B) 1%

38. A B

A

B

B A A

A

(A) 190 (B) 320

39.

(A) 2 12

1(B) 2

2

1 1

2

1

(C) 2 1 (D) 22

1 1

40. A B

B

B

(A) 24 (B) 10

(C) 32 (D) 60

41.

(A) 16000 (B) 12000

(C) 10000 (D) 14000

42.

(A) 500 (B) 515

(C) 550 (D) 600

43.

(A) 400 (B) 350

(C) 300 (D) 280

44.

(A) 12, 16 (B) 6, 8

(C) 9, 12 (D)

45. P = 49

362

2

�

�

x

xQ =

7

6

�

�

x

x

Q

P

(A) 7

6

�

�

x

x(B)

7

6

�

�

x

x

(C) 6

7

�

�

x

x(D)

7

6

�

�

x

x

46. (AP) n (pn + qn2)

p p

(A) 3q (B) 2q

(C) q (D) 4q

47. a, b c GP

zyx cba

111

�� 2y

(A) x – z (B) 2x – z

(C) x + z (D) 2z – x

48.

(A) 15 : 17 (B) 7 : 17

(C) 13 : 7 (D) 17 : 15

49.zx

y

� =

z

xy � =

y

xx : y : z

(A) 1 : 2 : 3 (B) 3 : 2 : 1

(C) 4 : 2 : 3 (D) 2 : 4 : 7


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7

50. What percent profit would be if 34% of cost

price is 26% of the selling price?

(A) 30.77% (B) 74.00%

(C) 25.16% (D) 88.40%

51. If the roots of the equation (c2 – ab)x2 –

2(a2 – bc)x + (b2 – ac) = 0 for 0�a are real

and equal, then the value of a3 + b3 + c3 is –

(A) abc (B) 3abc

(C) zero (D) None of these

52. Simplify the following expression –

a

a

a

aa

�

��

�

��

1

1

1

2

1

2

1

2

1

(A)a1

2

�(B)

a1

2

�

(C)a1

1

�(D) None of these

53. If the expressions px4 – 3x3 + 20 and 4x2 +

7x – p when divided by (x – 2) leaves the

same remainders, then find the value of p.

(A) 2 (B) 3

(C) 0 (D) –2

54. Solve for x if a bx x3 3

. . x3ab(a + b) = (25)25, and

a + b = 5

(A) 2 (B) 3

(C) 1 (D) 0

55. In the given figure, equilateral triangle

ABC, three perpendiculars OX, OY and OZ

are drawn from point 'O' to the three sides.

If the perpendicular measure 6 m, 7 m and

8 m respectively, find the area of the

triangle?

(A) 254.6 m2 (B) 252.6 m2

(C) 252.4 m2 (D) 254.4 m2

56. A ladeer, 25 m long is placed against a wall

with its foot 7 m from the wall. How far

should the foot be drawn out so that the top

of the ladder may come down by the half the

distance that the foot is drawn out?

(A) 6 m (B) 7 m

(C) 4 m (D) 8 m

57. The circumferences of two concentric

circles are 62.832 m and 37.6992 m. Find

the area between the circles.

(A) 203 m2 (B) 205 m2

(C) 201 m2 (D) 207 m2

58. If the two circles be described on thebounding radii of a qudrant of a circle whoseradius is 10 m, as diameters, find the areaof the figure common to both the circles.(A) 14.26 m2 (B) 8.38 m2

(C) 9.46 m2 (D) 12.26 m2

59. A box contain 5 red pens and 5 blue pens.Two pens are drawn at random. What is theprobability that both are of the same colour?(Assume, pens differ only in colour) –

(A) 0 (B) 9

4

(C)3

1(D)

9

1

60. Find the value of sec2 � cosec2 � – [tan2 � +

cot2 � ] –(A) 0 (B) 2(C) –1 (D) 1

61. To a man standing outside a house, theangles of elevation of the top and bottom ofa window are 60º and 45ºrespectively. If theman is 3 m away from the wall and hisheight is 152 cm. Find the length of thewindow.(A) 3.2 m (B) 2.2 m(C) 4.2 m (D) 1.5 m

62. If 1 – sin2 A = Asec

8.0, then the value of

tan A + Acos

1 is –

(A) 0 (B) 0.5(C) 2 (D) 1.5

63. In �ABC, � is an acute angle and tan � is

equal to three times of cot � . Find the value

of sin2 � + cosec2 � – 2

1cot2 � .

(A)12

23(B)

9

23

(C)11

23(D)

8

23

64. A rectangular grass plot is 112 m × 78m. Ithas a gravel path 2.5 m wide all round it onthe inside. Find the cost of constructing it

at 3.40 per m2.

(A) 3115 (B) 3050

(C) 3145 (D) 308065. A field is in the form of an equilateral

triangle of side 100 m. A horse is tied to avertex of the field, with a 15 m long rope.Over what area can the horse graze?(A) 117.85 m2 (B) 119.85 m2

(C) 117.35 m2 (D) 119.35 m2

66. A cone is 200 m high and its slant heightis inclinded at 30º to the horizon. Find thearea of its curved surface.(A) 435213 m2 (B) 453312 m2

(C) 453213 m2 (D) 435312 m2

8

50.

(A) 30.77% (B) 74.00%

(C) 25.16% (D) 88.40%

51. (c2 – ab)x2 – 2(a2 – bc)x + (b2 – ac) = 0,

,0�a a3 + b3 + c3

(A) abc (B) 3abc

(C) zero (D)

52.

a

a

a

aa

�

��

�

��

1

1

1

2

1

2

1

2

1

(A)a1

2

�(B)

a1

2

�

(C)a1

1

�(D)

53. px4 – 3x3 + 20 4x2 + 7x – p

(x – 2)

p

(A) 2 (B) 3

(C) 0 (D) –2

54. a bx x3 3

. . x3ab(a + b) = (25)25, a + b = 5 x

(A) 2 (B) 3

(C) 1 (D) 0

55. ABC OX,

OY OZ O

(A) 254.6 m2 (B) 252.6 m2

(C) 252.4 m2 (D) 254.4 m2

56.

(A) 6 (B) 7

(C) 4 (D) 8

57.

(A) 203 (B) 205

(C) 201 (D) 207

58.

(A) 14.26 (B) 8.38

(C) 9.46 (D) 12.26

59.

(A) 0 (B) 9

4

(C)3

1(D)

9

1

60. sec2 � cosec2 � – [tan2 � + cot2 � ]

(A) 0 (B) 2(C) –1 (D) 1

61.

60º 45º

(A) 3.2 (B) 2.2

(C) 4.2 (D) 1.5

62. 1 – sin2 A = Asec

8.0, tan A +

Acos

1

(A) 0 (B) 0.5(C) 2 (D) 1.5

63. �ABC � tan � , cot �

sin2 � + cosec2 � – 2

1cot2 �

(A)12

23(B)

9

23

(C)11

23(D)

8

23

64. 112 × 78 2.5

3.40

(A) 3115 (B) 3050

(C) 3145 (D) 3080

65.

(A) 117.85 (B) 119.85

(C) 117.35 (D) 119.35

66.

(A) 435213 (B) 453312

(C) 453213 (D) 435312


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9

67. What is the side of that equilateral triangle

whose area costs as much to pave at 10

per square metre as it would cost to fence

the three sides at 25 a metre?

(A) 17.32 m (B) 16.08 m

(C) 17.15 m (D) 16.80 m

68. If the diagonal and the area of a rectangle

are 25 m and 168 m2, find the length and

the breadth of the rectangle.

(A) 7 m, 24 m (B) 8m, 13 m

(C) 24 m, 7 m (D) 13 m, 8 m

69. For what value of 'm' the points A (m + 1, 1),

B (2m + 1, 3) and C (2m + 2, 2m) are collinear.

(A) 2 (B) 1

(C) 3 (D) –2

70. In which point the straight line joining the

points (2, –3), (–3, 7), is divided externally

in the ratio 5 : 3 –

(A) (22, –10.5) (B) (–10.5, 22)

(C) (22, 16) (D) (–10.5, 16)

71. Find the sides of a parallelogram whose

diagonals are 10 m and 17.78 m and the

perimeter is 40 m.

(A) 8 m, 10 m (B) 12m, 6 m

(C) 9 m, 9 m (D) 12 m, 8 m

72. The area of a wall clock in the form of a

rhombus is 72 m2 and its perimeter is 36 m.

Find the perpendicular breadth.

(A) 9 m (B) 8m

(C) 6 m (D) 10 m

73. In a �ABC, If AD�BC and DA

BD=

DC

DA, then

what type of triangle is � ABC?

(A) Scalene triangle(B) Obtuse triangle

(C) Right triangle (D) Equilateral triangle

74. A perfectly flexible rope 2 cm in diameter

is coiled closely upon the deck of a ship,

and there are 140 complete coils. Find the

length of the rope.

(A) 1236.8 m (B) 2612.8 m2

(C) 3612.4 m (D) 1236.4 m

75. A regular hexagonal pyramid has the

perimeter of its base as 30 m and its

altitude 20 m. Find its Volume.

(A) 431 m3 (B) 432 m3

(C) 433 m3 (D) 434 m3

76. The whole surface area of a cylinder is 2.5

times the curved surface of a cylinder. If

the height of the cylinder is 7 cm, find the

volume of cylinder.

(A) 2423.5 cm3 (B) 2425.5 cm3

(C) 2434.5 cm3 (D) 2524.5 cm3

77. A recangular grass plot 80 m × 60 m hastwo roads, each 10 m wide, running in themiddle of it; one parallel to length and theother parallel to breadth. Find the cost of

gravelling the roads at 2 per m2.

(A) 2600 (B) 2680

(C) 2580 (D) 2500

78. A hemispherical punch-bowl is 176 cmround the brim. Supposing it to be half full,how many persons can be served from it inhemispherical glasses 4 cm in a diameterat the top?

(A) 1472 (B) 1327

(C) 1372 (D) 1427

79. If 2

2

3

3.3

y

xyx

�

�

= 81 and 3

3

2

2

x

y

� = 256, then the

value of x + y is equal to –

(A) 0 (B) 4

(C) 3 (D) 2

80. Solve for 'y' if c + y

yd � = e – 1 +

y

f.

(A)ce

fd

�

�(B)

ce

fd

�

�

(C)ce

fd

�

�(D)

ce

fd

�

�

81. If x1 and x

2 are the roots of the equation bx2

– ax + log2my = 0 such that 2

222

1 xax �� , then

evaluate the roots in terms of a and b.

(A) )1(2

),1(2

22 bab

aa

ab

a��

(B) )1(2

),1(2

22 ab

ab

b

a��

(C) )1(2

),1(2

22 bab

ab

ab

a��

(D) )1(2

),1(2

22 bab

ab

ab

a��

82. Find the square root of

K + l + m + n + 2 mKml � + mn2 –

nlKn �2 .

(A) nmK ��1

(B) nmnK ��

(C) ]1[ nmK ��

(D) nmK �� 1

10

67.

(A) 17.32 (B) 16.08

(C) 17.15 (D) 16.80

68.

(A) 7 , 24 (B) 8 , 13

(C) 24 , 7 (D) 13 , 8

69. A (m + 1, 1), B (2m + 1, 3) C (2m + 2, 2m)

'm'

(A) 2 (B) 1(C) 3 (D) –2

70.

(A) (22, –10.5) (B) (–10.5, 22)(C) (22, 16) (D) (–10.5, 16)

71.

(A) 8 , 10 (B) 12 , 6

(C) 9 , 9 (D) 12 , 8

72.

(A) 9 (B) 8

(C) 6 (D) 10

73. � ABC AD�BC DA

BD=

DC

DA

�ABC

(A) (B)

(C) (D)

74.

(A) 1236.8 (B) 2612.8

(C) 3612.4 (D) 1236.4

75.

(A) 431 (B) 432

(C) 433 (D) 434

76.

(A) 2423.5 (B) 2425.5

(C) 2434.5 (D) 2524.5

77. 80 × 60

2

(A) 2600 (B) 2680

(C) 2580 (D) 2500

78.

(A) 1472 (B) 1327

(C) 1372 (D) 1427

79. 2

2

3

3.3

y

xyx

�

�

= 81 3

3

2

2

x

y

� = 256 , x + y

(A) 0 (B) 4

(C) 3 (D) 2

80. 'y' c + y

yd � = e – 1 +

y

f

(A)ce

fd

�

�(B)

ce

fd

�

�

(C)ce

fd

�

�(D)

ce

fd

�

�

81. bx2 – ax + log2my = 0 x

1x

2

22

221 xax �� a b

(A) )1(2

),1(2

22 bab

aa

ab

a��

(B) )1(2

),1(2

22 ab

ab

b

a��

(C) )1(2

),1(2

22 bab

ab

ab

a��

(D) )1(2

),1(2

22 bab

ab

ab

a��

82. K + l + m + n + 2 mKml � + mn2 –

nlKn �2

(A) nmK ��1

(B) nmnK ��

(C) ]1[ nmK ��

(D) nmK �� 1


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

11

83. Evaluate: º375sin2º165cot2

º285tanº255cos

�

�

(A) 0.278 (B) 0.66(C) 0.5 (D) 0.25

84. From an observation tower 'h' metres abovethe level of a river, the angle of depressionof a point on the near shore is Aº and thatof a point directly on the far shore is Bº. Findthe width of the river.(A) h(cot B + cot A) (B) h(tan B + tan A)(C) h(tan A – tan B) (D) h(cot B – cot A)

85. In �ABC (as shown in adjacent

figure), i f B� = 90º and thenumbers denoting the length of'h ' and 'a' are consecutive

integers, then express sin � interms of 'b'.

(A) 2

1

�

�

b

b(B)

1

1

�

�

b

b

(C) 1

12

2

�

�

b

b(D)

1

22 �

�

b

b

86. The angle of elevation of a jet plane from apoint on the ground is 60º. After a flight of18 seconds, the angle of elevation changesto 30º. If the jet plane is flying at a constant

height of 2000 3 metre. Find the speed ofthe plane in km/hr.(A) 800 km/h (B) 828 km/h(C) 750 km/h (D) 700 km/h

87. The angle of elevation of a kite from a point

'd' metre above a lake is 30º and the angle

of depression of its reflection is 60º. Find

the height of the kite above the surface of

the lake.

(A) 3d (B) d

(C) 2d (D) 4d

88. The interior angles of a polygon are in AP.

The smallest angles 120º and the common

difference is 5º. Find the number of sides

of the polygon.

(A) 7 (B) 9

(C) 6 (D) 8

89. A 12 m deep well with diameter 3.5 m is

dug up and the earth from it is spread

evently to form a plat form 10.5 m × 8 m.

Find the height of the platfrom.

(A) 1.375 m (B) 1.735 m

(C) 1.357 m (D) 1.573 m

90. A right pyramid stands on a rectangular

base whose sides are 24 cm and 18 cm and

on the shorter side, the slant height is

17 cm. Find the volume of the pyramid.

(A) 1735.5 cm3 (B) 17.533 cm3

(C) 1733.5 cm3 (D) 17.335 cm3

91. What is the maximum difference betweenthe number of tyres of any two types soldtaken together for September and that ofother two types sold for October?(A) 3390 (B) 5430(C) 4523 (D) 4230

92. For how many types of tyres, there is anabsolute decrease in the number of soldin October over September?(A) 0 (B) 1(C) 2 (D) 3

93. The total sales of which of the followingtypes of tyres in September wasapproximately equal to F type of tyres inOctober?(A) A & C (B) C & E(C) B & D (D) A & B

94. What is the difference in total sales

between September and October in

respect to only those types where there

was an increase in sale?

(A) 6520 (B) 3540

(C) 4530 (D) None of these

95. The number of tyres D and E sold in

September is approximately what percent

of the number of tyres sold for these types

in October?

(A) 85% (B) 67%

(C) 145% (D) 112%

Directions (Q. Nos. 91-95) There are seven different types of tyres manufactured by a factory. Thepie charts show the percentage of sales of the types in a city in two consecutive months Septemberand October. The total number of type B tyres sold in September and October were 1560 and 2250respectively.

12

83.º375sin2º165cot2

º285tanº255cos

�

�

(A) 0.278 (B) 0.66

84. 'h'

Aº

Bº (A) h(cot B + cot A) (B) h(tan B + tan A)(C) h(tan A – tan B) (D) h(cot B – cot A)

85. �ABC

B� = 90º

'h' 'a'

sin � 'b'

(A) 2

1

�

�

b

b(B)

1

1

�

�

b

b

(C) 1

12

2

�

�

b

b(D)

1

22 �

�

b

b

86.

60º

30º

2000 3

(A) 800 (B) 828

(C) 750 (D) 700

87. 'd'

30º

60º

(A) 3d (B) d

(C) 2d (D) 4d

88. (AP)

120º 5º

(A) 7 (B) 9

(C) 6 (D) 8

89. 3.5 12

10.5 × 8

.

(A) 1.375 (B) 1.735

(C) 1.357 (D) 1.573

90. 24 × 18

(A)1735.5 (B) 17.533

(C) 1733.5 (D) 17.335

91.

(A) 3390 (B) 5430(C) 4523 (D) 4230

92.

(A) 0 (B) 1(C) 2 (D) 3

93.

F

(A) A & C (B) C & E(C) B & D (D) A & B

94.

(A) 6520 (B) 3540

(C) 4530 (D)

95. D E

(A) 1 (B) 2

(C) 3 (D) 4

B


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

13

Directions (Q. Nos. 96-100) Study the graph to answer these questions.The pie chart showspercentage turnover of each time in Tanzania company M/s AYZM. The bar graph givesthe turnover in $ millions in Africa on various items by M/s AYZM. Rest of Africa refers tothose countries which are in Africa other than Tanzania.

96. What is the percentage of rest of Africaturnover for Leather goods?(A) 25% (B) 29%(C) 67% (D) 69%

97. What is the ratio of turnover from rest ofAfrica for Jewellery and Garments to theturnover from Tanzania for Electrical andLeather goods?(A) 2.14 : 2 (B) 1.14 : 1(C) 2.14 : 1 (D) 2 : 2.4

98. Turnover from Tanzania for Electricalgoods and Handicrafts together is howmany times the turnover from rest ofAfrica for Garments?(A) 0.63 (B) 0.36(C) 0.50 (D) 0.46

99. The turnover from Jewellery and

Garments together from Tanzania is

what per cent of the turnover from the

rest of Africa for Electrical and Leather

goods together?

(A) 48% (B) 60%

(C) 56% (D) 65%

100. If the turnover from rest of Africa for

Electrical goods increases by 20%, then

what is the ratio of turnover from

Tanzania for Handicrafts item to that

from rest of Africa for Electrical goods?

(A) 1 : 1.83 (B) 1 : 1.38

(C) 6 : 13 (D) 13 : 6

14

96.

(A) 25% (B) 29%

(C) 67% (D) 69%

97.

(A) 2.14 : 2 (B) 1.14 : 1

(C) 2.14 : 1 (D) 2 : 2.4

98.

(A) 0.63 (B) 0.36

(C) 0.50 (D) 0.46

99.

(A) 48% (B) 60%

(C) 56% (D) 65%

100.

(A) 1 : 1.83 (B) 1 : 1.38

(C) 6 : 13 (D) 13 : 6

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