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Live Leak - SSC CGL Tier II Quant Model Question Paper (based on Predicted Pattern 2016)

1. The greatest number that will divide 283 and 570 leaving remainders of 4 and

12 respectively, leaves a remainder 6 when divided by 3 prime numbers. Find

the largest prime number out of the 3.

a. 7

b. 31

c. 91

d. None of these

2. The sum of two numbers is 45 and their difference is (1/9) of their sum. What

is their LCM?

a. 120

b. 100

c. 220

d. 320

3. 9 men went to a shop. Out of 9, 8 spent Rs. 40 on snacks and 9th one spent

20 more than the average of expenditure of all 9. How much did 9th member

spent?

a. 62.5

b. 60

c. 64.5

d. 58

4. If the average of m, m + 2, m + 4 and 2m + 4 is 20, then the product of

these numbers will be

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a. 130946

b. 129021

c. 130964

d. 129036

5. In a class of 52 students number of boys is less than the number of girls by 2.

Average weight of boys is 62 kg and the average weight of all students is 59

kg. What is the approximate average weight of girls (in kg)?

a. 56

b. 49

c. 76

d. 68

6. The average age of a cricket team of 11 players is the same as it was 3 years

back because 3 of the players whose current average age is 33 years were

replaced by 3 youngsters. The average age of the newcomer is:

a. 21 years

b. 22 years

c. 20 years

d. 23 years

7. The average of three numbers is 36. The first number is thrice the second and

the second number is two times of the third number. Find the first number.

a. 64

b. 72

c. 75

d. 81

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8. Find the missing term.

1, 9, 25, 49, 81, 121, ?

a. 144

b. 125

c. 169

d. 225

9. The next number of the sequence 2, 6, 12, 20, 30, 42, 56, _____ is

a. 60

b. 64

c. 68

d. 72

10. A man can row down a stream 20 kms in 5 hrs and can return in 6�

� hrs. Find

the rate at which man can row in still water.

a. 3 km/hrs

b. 3.6 km/hrs

c. 2.5 km/hrs

d. 6.3 km/hrs

11. Simplify:-

√���√���

√��= ?

a. 2√6

b. 6√2

c. 2

d. �

� √6

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12. A jeep is chasing a car which is 3 km ahead. Their respective speeds are 90

km/hr and 75 km/hr. After how many minutes will the jeep catch the car?

a. 10

b. 12

c. 15

d. 20

13. A sum of Rs. 50,400 is to be divided among A, B and C in such a manner

that for every rupee that A gets, B gets 50 paise and for every rupee that B

gets, C gets 120 paise. B’s share will be

a. Rs. 16,010

b. Rs. 12,000

c. Rs. 18,000

d. Rs. 28,090

14. A scooterist complete a certain journey in 10 h. He covers half the distance at

30 km/h and the rest at 70 km/h. What is the total distance of the journey?

a. 210 km

b. 400 km

c. 420 km

d. 500 km

15. The value of ��������������������

������������������� is

a. 4

b. ¼

c. 270

d. �

���

16. Two number are in the ratio 4:3. The product of their H.C.F. and L.C.M. is

2028. The sum of the number is.

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a. 68

b. 72

c. 86

d. 91

17. One-fourth of a certain journey was covered at an average speed of 45

km/hour, one third at the speed of 60 km/hour and the remaining journey at the

speed of 75 km/hour. The average speed of the whole journey in km/hour is:

a. 54

b. 55

c. 60

d. 72

18. A train passes a 50 m long platform in 14 s and a man standing on a platform

in 10 s. The speed of the train is

a. 24 km/h

b. 26 km/h

c. 40 km/h

d. 45 km/h

19. (1024)0.16 × (4)0.2 is equal to

a. 64

b. 16

c. 256.25

d. 4

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20. If √24 = 4.899 find the value of ��

�.

a. 1.633

b. 1.333

c. 2.666

d. 0.544

21. A train covers a distance of 18 km in 10 minutes. If it takes 4 second to pass

a telegraph post, then the length of the train is:

a. 90 m

b. 100 m

c. 120 m

d. 140 m

22. A shopkeeper allows a discount of 10% to his customers and still gains 20%.

Find the marked price of the article which cost Rs. 450.

a. Rs. 600

b. Rs. 540

c. Rs. 660

d. Rs. 580

23. The ratio of investments of two partners is A and B is 11 : 12 respectively and

the ratio of their profits is 2 : 3 respectively. If A invested the money for 8

months, find for how much time B invested the money?

a. 10 months

b. 7 months

c. 8 months

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d. 11 months

24. By selling an article for Rs. 144, a person gained such that the percentage gain

equals the cost price of the article. The cost price of the article is

a. Rs. 90

b. Rs. 80

c. Rs. 75

d. Rs. 60

25. A man sells two articles for Rs. 5000 each neither losing nor gaining in the

deal. If he sold one of them at a gain of 25%, the other article is sold at a

loss of

a. 15�

�%

b. 16�

�%

c. 17�

�%

d. 18�

�%

26. A trader advertises for selling the cloth at 5% loss, but by using a false meter

scale he actually gains 20%. What is the actual length of the scale?

a. 0.75m

b. 0.8m

c. 0.6m

d. 0.5m

27. A shopkeeper gives 12% additional discount on the discounted price, after

giving an initial discount of 20% on the labeled price of a mobile. If the final

sale price of mobile is Rs 704, then find the labeled price.

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a. Rs 914

b. Rs 820

c. Rs 1000

d. Rs 1024

28. In an examination a student scores 4 marks for every correct answer and loses

1 mark for every wrong answer. If he attempts all 75 questions and secures

125 marks, the number of questions he attempts correctly is

a. 35

b. 40

c. 42

d. 46

29. The traffic lights at three different road crossings change after 24 seconds, 36

seconds and 54 seconds respectively. If they all change simultaneously at 10 :

15 : 00 AM, then at what time will they again change simultaneously ?

a. 10:16:54 AM

b. 10:18:36 AM

c. 10:17:02 AM

d. 10:22:12 AM

30. A sum of money is sufficient to pay A’s wages for 21 days and B’s wages for

28 days. The same money is sufficient to pay the wages of both for.

a. 12�

� days

b. 14 days

c. 24�

� days

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d. 12 days

31. A and B together can do a piece of work in 7 days. If A does twice as much

more as B in a given time, find how long A alone would take to do the work?

a. 10�

� days

b. 12�

� days

c. 14�

� days

d. 16 days

32. 3 men or 5 women can do a work in 12 days. How long will 6 men and 5

women take to finish the work?

a. 4 days

b. 5 days

c. 6 days

d. 7 days

33. In a certain store, the profit is 440% of the cost. If the cost increases by 35%

but the selling price remains constant, approximately what percentage of the

selling price is the profit?

a. 70%

b. 80%

c. 60%

d. 75%

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34. A shopkeeper marks his goods 40% above cost price, but allows 60% discount

on cash payment. His net loss is –

a. 46%

b. 40%

c. 38%

d. 44%

35. If a2 – 4a – 1 = 0, then value of �� +�

��+ 3�

�

� is

a. 25

b. 30

c. 35

d. 40

36. 10 liters are removed from a cask full of wine containing 60 liters and is then

filled with water. 10 liters of mixture is again withdrawn from the container.

What quantity of wine is now left in the cask?

a. 41�

�

b. 27�

�

c. 40

d. 35

37. If x2 + y2 + z2 = 2(x – y - z) - 3, then the value of (2x - 3y + 4z) is [Assume

that x, y, z are all real numbers] :

a. 9

b. 1

c. 3

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d. 0

38. The sum of two numbers is 15 and the sum of their squares is 113. Find the

product of the numbers.

a. 48

b. 54

c. 56

d. 50

39. A invested Rs. 12,000 for 8 months and B invested Rs. 16,000 for some times

in a business. If the profits of A and B are equal, then the period of time for

which B’s capital was invest is

a. 6 month

b. 5 months

c. 4 months

d. 3 months

40. If �� +�

���= 3, then find the value of x154 + x148 + x78 + x72 + x26 + x20 + 1.

a. 0

b. 1

c. 148

d. 78

41. A sum of money lent at compound interest for 2 years at 20% per annum

would fetch Rs. 482 more, if the interest was payable half yearly than if it was

payable annually. The sum is

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a. Rs. 30,000

b. Rs. 40,000

c. Rs. 10,000

d. Rs. 20,000

42. A chord AB of a circle C1 of radius (√3 + 1) cm touches a circle C2 which is

concentric to C1. If the radius of C2 is (√3 - 1) cm., the length of AB is:

a. 2 x 4√3 cm

b. 8√3 cm

c. 4 x 4√3 cm

d. 4√3 cm

43. The value of a machine depreciates every year by 10%. If its present value is

Rs. 50,000 then the value of the machine after 2 years is__________.

a. Rs. 40,050

b. Rs. 45,000

c. Rs. 40,005

d. Rs. 40,500

44. A pump can fill a tank with water in 3 hours. Because of a leak it

took 3�

� ����� to fill the tank. The leak can drain all the water in the tank in

a. 54 hours

b. 36 hours

c. 42 hours

d. 48 hours

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45. Out of the total income, a person spends 15% on the house rent and 65% of

the rest on house hold expenditure. If he saves Rs. 8925. What is his total

income?

a. Rs. 44,625

b. Rs. 30,000

c. Rs. 25,000

d. None of the above

46. An empty tank can be filled by pipe A in 4 hours and by pipe B in 6 hours. If

the two pipes are opened for 1 hour each alternately with first opening pipe A,

then the tank will be filled in:

a. 4�

� hours

b. 3�

� hours

c. 4�

� hours

d. 3�

� hours

47. A man undertakes to do a certain work in 150 days. He employs 200 men. He

finds that only a quarter of the work is done in 50 days. The number of

additional men that should be appointed so that the whole work will be finished

in time is:

a. 75

b. 100

c. 125

d. 50

48. A milk vendor purchases 33 liters of milk containing milk and water in the ratio

12: 1. He wants to make this a 11: 2 solution of milk and water and sell the

entire quantity at the cost price. How much of water needs to be added?

a. 3 lts

b. 2�

�����.

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c. 2.5 lts.

d. 3.5 lts.

49. If the price of a commodity is increased by 50% by what fraction must its

consumption be reduced so as to keep the same expenditure on its

consumption?

a. ¼

b. 1/3

c. ½

d. 2/3

50. The population of a town increases every year by 4%. If its present population

is 50,000, then after 2 years it will be

a. 53,900

b. 54,000

c. 54,080

d. 54,900

51. If S is the circumcentre of ΔABC and ∠A = 50°, then the value of ∠BCS is

a. 20°

b. 40°

c. 60°

d. 80°

52. The area of the triangle formed by the lines 5x + 7y = 35. 4x + 3y = 12 and x

– axis is

a. 160/13 sq. unit

b. 150/13 sq. unit

c. 140/13 sq. unit

d. 10 sq. unit

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53. In triangle ABC, AB = 12 cm, ∠B = 60°, the perpendicular from A to BC meets

it at D. The bisector of ABC meets AD at E. Then E divides AD in the ratio

a. 3 : 1

b. 6 : 1

c. 1 : 1

d. 2 : 1

54. Two circles with same radius r intersect each other and one passes through the

centre of the other. Then the length of the common chord is

a. R

b. r √3

c. √�

��

d. r √5

55. Hari requires 35% to pass. If he gets 183 marks, he fails by 27 marks. What is

the maximum marks in the exam?

a. 700

b. 600

c. 450

d. 550

56. If a sum of money at simple interest doubles in 12 years, the rate of interest

per annum is

a. 16.3%

b. 7.5%

c. 8.3%

d. 10%

57. If sin2α = cos3α , then the value of (cot6α – cot2α) is

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a. 1

b. 0

c. -1

d. 2

58. What equal installment of annual payment will discharge a debt which is due as

Rs. 1272 at the end of 4 years at 4% per annum simple interest?

a. Rs. 272

b. Rs. 315

c. Rs. 300

d. Rs. 350

59. If �����

���� �+

�����

���� �= 1, then the value of

���� �

���� �+

���� �

���� � is

a. 4

b. 0

c. 1/8

d. 1

60. A hollow cylindrical tube 20 cm long is made of iron and its external and

internal radii are 14 cm and 7 cm respectively. The volume of the iron used in

making the tube is –

a. 9290 cm3

b. 9462 cm3

c. 9240 cm3

d. 9840 cm3

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61. The angle formed by the hour-hand and the minute-hand of a clock at 2 : 15

p.m. is

a. 27�

�

°

b. 45°

c. 22�

�

°

d. 30°

62. The height of a tower is h and the angle of elevation of the top of the tower is

α. On moving a distant h/2 towards, the tower, the angle of elevation becomes

β. The value of cot α – cot β is

a. 1

b. 2

c. ½

d. 3

63. The value of �����°

�����°+ 2 tan 11° tan 31° tan45° tan59° tan79° 3(sin� 21° + sin� 69°)

is

a. 1

b. 2

c. -1

d. 0

64. If ab > 0 and the point (a, b) lies in the third quadrant, the quadrant in which

the point (-b, -a) lies is

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a. III

b. IV

c. I

d. II

65. The ratio of the volumes of water and glycerine in 240 cc of a mixture is 1 : 3.

The quantity of water (in cc) that should be added to the mixture so that the

new ratio of the volumes of water and glycerine becomes 2 : 3 is

a. 55

b. 60

c. 62.5

d. 64

66. A copper wire is bent in the form of an equilateral triangle and has area 121√3

cm2. If the same wire is bent into the form of circle, the area (in cm2) enclosed

by the wire is ����� � =��

��

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a. 364.5

b. 693.5

c. 346.5

d. 439.5

67. The diameter of a wheel is 98 cm. The number of revolutions in which it will

have to cover a distance of 1540 m is

a. 500

b. 600

c. 700

d. 800

68. A rectangular sheet of metal is 40 cm by 15 cm. Equal square of side 4 cm

are cut off at the corners and the remainder is folded up to form an open

rectangular box. The volume of the box is

a. 896 cm3

b. 986 cm3

c. 600 cm3

d. 916 cm3

69. The perimeter of an isosceles, right-angled triangle is 2p unit. The area of the

same triangle is:

a. (3 - 2√2) p2sq.unit

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b. (2 + √2) p2sq.unit

c. (2 - √2) p2sq.unit

d. (3 - √2) p2sq.unit

70. The sides of a triangle are in the ratio 2:3:4. The perimeter of the triangle is 18

cm. The area (in cm2) of the triangle is

a. 9

b. 36

c. √42

d. 3√15

71. If each interior angle is double of each exterior angle of a regular polygon with

n sides, then the value of n is

a. 8

b. 10

c. 5

d. 6

72. In the following figure, O is the center of the circle and XO is perpendicular to

OY. If the area of the triangle XOY is 32, then the area of the circle is

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a. 64π

b. 256π

c. 16π

d. 32π

73. The length of canvas, 75 cm wide required to build a conical tent of height 14

m and the floor area 346.5 m2 is:

a. 490 m

b. 770m

c. 860 m

d. 665 m

74. ABCD is a trapezium, such that AB = CD and AD|| BC. AD = 5 cm, BC = 9

cm. If area of ABCD is 35 sq.cm, then CD is:

a. √29 cm

b. 5 cm

c. 6 cm

d. √21 cm

75. P and Q are the middle points of two chords (not diameters) AB and AC

respectively of a circle with centre at a point O. The lines OP and OQ are

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produced to meet the circle respectively at the points R and S. T is any point

on the major arc between the points R and S of the circle. If ∠BAC = 32°,

∠RTS =?

a. 32°

b. 74°

c. 106°

d. 64°

76. Two circles touch externally. The sum of their area is 130π sq cm and the

distance between their centres is 14 cm. the radius of the smaller circle is:

a. 5 cm

b. 2 cm

c. 3 cm

d. 4 cm

77. In an acute angled triangle ABC, if sin 2(A +B – C) = 1 and tan(B + C – A) =

√3, then the value of ∠B is

a. 60°

b. 30°

c. 52 ��

�� °

d. 67 ��

�� °

78. Let α, β, γ be the three angles of a ΔABC such that α + β < γ. Then ΔABC is

a. Right angled triangle

b. Acute angled triangle

c. Obtuse angled triangle

d. Isosceles

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79. ABC is a triangle and its side AB, BC and CA are produced to E, F and G

respectively. If ∠CBE = ∠ACF = 130°. Find ∠GAB.

a. 100°

b. 90°

c. 80°

d. 130°

80. ΔABC is a right angled triangle whose ∠C = 90°, if CD ⊥ AB and BC2 = 16,

CA2 = 9 find CD.

a. �

��

b. ��

�

c. 5

d. 12

81. Two alloys contain tin and iron in the ratio of 1 : 2 and 2 : 3. If the two alloys

are mixed in the proportion of 3 : 4 respectively(by weight), the ratio of tin and

iron in the newly formed alloy is:-

a. 12 : 23

b. 14 : 25

c. 10 : 21

d. 13 : 22

82. The cost of making an article is divided between materials, labor and overheads

in the ratio 3 : 4 :2. If the cost of material Rs.33.60 the cost of article is

a. Rs.100.80

b. Rs.11.20

c. Rs.44.80

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d. Rs.22.40

83. A right pyramid 6 m height has a square base of which the diagonal is √1152

m. Volume of the pyramid is

a. 144 m3

b. 288 m3

c. 576 m3

d. 1152 m3

84. The perimeter of one face of a cube is 20cm, the volume in cm3 of the cube

will be

a. 125

b. 400

c. 625

d. 100

85. If A and B are in ratio 4 : 5 and the difference of their squares is 81, what is

the value of A?

a. 36

b. 15

c. 45

d. 12

86. In the given figure, POQ is a diameter and PQRS is a cyclic quadrilateral. If

∠PSR = 130°, then the value of ∠RPQ is

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a. 30°

b. 40°

c. 45°

d. 35°

87. In ΔABC, D and E are two mid points of sides AB and AC respectively. If

∠BAC = 40° and ∠ABC = 65° then ∠CED is :-

a. 75°

b. 125°

c. 130°

d. 105°

Q88-90. Directions: The following table gives zone wise survey report of the people

of a country who take coffee. Study the table and answer the questions.

Take Coffee Zone

North EastWestSouth

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More than 3 times a day 410 310 700 1450

1 to 3 times a day 1220 830 1250 1120

Twice a week 1640 710 950 420

Only once a week 620 540 530 350

Never 950 430 620 50

88. The percentage of people from non-west zone who take coffee ‘only once a

week’ is approximately

a. 11

b. 12

c. 13

d. 14

89. The ratio of the total number of people surveyed who take coffee more than 3

times a day to the total number of people who do not take coffee at all is

a. 1:1.4

b. 1.4:1

c. 1.5:1

d. 1:1.1

90. The percentage of people of south zone who take coffee at least once a day is

close to

a. 33.51

b. 42.72

c. 75.81

d. 80.82

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91. The volumes of a right circular cylinder and a sphere are equal. The radius of

the cylinder and the diameter of the sphere are equal. The ratio of height and

radius of the cylinder is

a. 3:1

b. 1:3

c. 6:1

d. 1:6

92. Some bricks are arranged in a pile having volume 20 cu. m. If the length,

breadth and height of each brick is 25 cm, 12.5 cm and 8 cm respectively,

then in that pile the number of bricks are (suppose there is no gap in between

two bricks)

a. 6,000

b. 8,000

c. 4,000

d. 10,000

93. Rs. 555 was to be divided among A, B and C in the ratio of �

�∶�

�∶�

�. But by

mistake it was divided in the ratio of 4 : 5 : 6. The amount in excess received

by C was

a. Rs. 72

b. Rs. 75

c. Rs. 22

d. Rs. 52

94. From a point 20m away from the foot of a tower, the angle of elevation of the

top of the tower is 30°. The height of the tower is

a. 10√3 m

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b. 20√3 m

c. ��

√� �

d. ��

√� �

95. Eighteen years ago ratio of A’s and B’s age was 8 : 13 . Their present ratio is

5:7.What is the present age of A?

a. 60

b. 70

c. 50

d. 40

96. If 7 sin α = 24 cos α; 0 < α < π/2, then the value of 14 tan α – 75 cos α – 7

sec α is equal to

a. 3

b. 4

c. 1

d. 2

97. A man having height 169 cm is standing near a pole. He casts a shadow 130

cm long. What is the length of the pole if it gives a shadow 420 cm long?

a. 550 cm

b. 589 cm

c. 323 cm

d. 546 cm

Q98-100. Direction: - The following pie-chart shows the sources of funds to be

collected by the National Highways Authority of India (NHAI) for its phase II

projects. Study the pie-chart and answer the following questions:-

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98. The central angle corresponding to Market Borrowing is :

a. 57°

b. 137.8°

c. 187.2°

d. 192.4°

99. If NHAI could receive a total of Rs. 9695 crores as External Assistance, by

what percent (approximately) should it increase the Market Borrowing to arrange

for the shortage of funds?

a. 7.5

b. 6

c. 4.5

d. 8

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100. If the toll is to be collected through an outsourced agencies by allowing a

maximum 10% commission , how much amount in crores should be collected

by the outsourced agency so that the project is supported with Rs 4910 crores?

a. 5401

b. 5287

c. 5316

d. 6213

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