SSC CGL (Tier - 2) Online Re-exam Paper - 2016
Extract of the Actual Question Paper with Answer Key
Q33.A businessman imported Laptops worth Rs. 210000, Mobile phones worth Rs. 100000 and Television sets worth Rs. 150000. He had to pay 10% duty on Laptops, 8% on Phones and 5% on Television sets as a special case. How much total duty (in Rupees) he had to pay on all items as per above details
Options:
1) 36500
2) 37000
3) 37250
4) 37500
Q34.On a certain date, Pakistan has a success rate of 60% against India in all the ODIs played between the two countries. They lost the next 30 ODIs in a row to India and their success rate comes down to 30%. The total number of ODIs played between the two countries is
Options:
1) 50
2) 45
3) 60
4) 30
Q35.Two donkeys are standing 400 meters apart. First donkey can run at a speed of 3 m/sec and the second can run at 2 m/sec. If two donkeys run towards each other after how much time (in sec) will they bump into each other?
Options:
1) 60
2) 80
3) 400
4) 40
Q36.Rubi goes to a multiplex at the speed of 3 km/hr to see a movie and reaches 5 minutes late. If she travels at the speed of 4 km/hr she reaches 5 minutes early. Then the distance of the multiplex from her starting point is
Options:
1) 2 km
2) 5 km
3) 2 m
4) 5 m
Q37. A man travels some distance at a speed of 12 km/hr and returns at a speed of 9 km/hr. If the total time taken by him is 2 hrs 20 min, the distance is
Options:
1) 35 km
2) 21 km
3) 9 km
4) 12 km
Q38.A and B are 15 kms apart and when travelling towards each other meet after half an hour whereas they meet two and a half hours later if they travel in the same direction. The faster of the two travels at the speed of
Options:
1) 15 km/hr
2) 18 km/hr
3) 10 km/hr
4) 8 km/hr
Q39.The sum for 2 years gives a compound interest of Rs. 3225 at 15% rate. Then the sum is
Options:
1) 10000
2) 20000
3) 15000
4) 32250
Q40.In 3 years Rs. 3000 amounts to Rs. 3993 at x% compound interest, compounded annually. The value of x is
Options:
1) 10
2) 8
3) 5
4) 8
Q41.A man borrowed some money and agreed to pay-off by paying Rs. 3150 at the end of the 1st year and Rs. 4410 at the end of the 2nd year. If the rate of compound interest is 5% per annum, then the sum is
Options:
1) Rs. 5000
2) Rs. 6500
3) Rs. 7000
4) Rs. 9200
Q42.Rs. 260200 is divided between Ram and Shyam so that the amount that Ram receives in 3 years is the same as that Shyam receives in 6 years. If the interest is compounded annually at the rate of 4% per annum then Ram's share is
Options:
1) 125000
2) 135200
3) 152000
4) 108200
Q43.The radii of two cylinders are in the ratio 2:3 and their heights are in the ratio 5:3. The ratio of their volumes is
Options:
1) 27:20
2) 20:27
3) 4:9
4) 9:4
Q44.Three cubes of iron whose edges are 6 cm, 8cm and 10 cm respectively are melted and formed into a single cube. The edge of the new cube formed is
Options:
1) 12 cm
2) 14 cm
3) 16 cm
4) 18 cm
Q45. The radii of two concentric circles are 68 cm and 22 cm. The area of the closed figure bounded by the boundaries of the circles is
Options:
1) 4140P sq.cm.
2) 4110P sq.cm.
3) 4080P sq.cm.
4) 4050P sq.cm.
Q46. The radius of a sphere is 6 cm. It is melted and drawn into a wire of radius 0.2 cm. The length of the wire is
Options:
1) 81 m
2) 80 m
3) 75 m
4) 72 m
Q47.The radius of a wire is decreased to one-third. If volume remains the same, length will increase by
Options:
1) 1.5 times
2) 3 times
3) 6 times
4) 9 times
Q48.In a trapezium ABCD, AB and DC are parallel sides and Ð ADC = 90°. If AB = 15 cm, CD = 40 cm and diagonal AC = 41 cm. Then the area of the trapezium ABCD is
Options:
1) 245 cm2
2) 240 cm2
3) 247.5 cm2
4) 250 cm2
Q49.The area of a rhombus having one side 10 cm and one diagonal 12 cm is
Options:
1) 48 cm2
2) 96 cm2
3) 144 cm2
4) 192 cm2
Q50.The cost of levelling a circular field at 50 Paise per square metre is Rs. 7700. The cost (in Rs.) of putting up a fence all round it at Rs. 1.20 per meter is (Use P = 22/7)
Options:
1) Rs. 132
2) Rs. 264
3) Rs. 528
4) Rs. 1056
Q51.From the four corners of a rectangular sheet of dimensions 25 cm x 20 cm, square of side 2 cm is cut off from four corners and a box is made. The volume of the box is 25 cm x 20 cm
Options:
1) 828 cm3
2) 672 cm3
3) 500 cm3
4) 1000 cm3
Q52.The height and the total surface area of a right circular cylinder are 4 cm and 8P sq.cm. respectively. The radius of the base of cylinder is
Options:
1) (2Ö2 - 2) cm
2) (2 - Ö2) cm
3) 2 cm
4) Ö2 cm
Q53. The radius of a cylindrical milk container is half its height and surface area of the inner part is 616 sq.cm. The amount of milk that the container can hold, approximately, is [ Use : Ö5 = 2.23 and
P = 22/7 ]
Options:
1) 1.42 litres
2) 1.53 litres
3) 1.71 litres
4) 1.82 litres
Q54. A solid brass sphere of radius 2.1 dm is converted into a right circular cylindrical rod of length 7cm. The ratio of total surface areas of the rod to the sphere is
Options:
1) 3:1
2) 1:3
3) 7:3
4) 3:7
Q55.A solid sphere of radius 3 cm is melted to form a hollow right circular cylindrical tube of length 4 cm and external radius 5 cm. The thickness of the tube is
Options:
1) 1 cm
2) 9 cm
3) 0.6 cm
4) 1.5 cm
Q56.If x = y + 2 then x3 - y3 - z3 is
Options:
1) 0
2) 3xyz
3) -3xyz
4) 1
Q57.If x = 11, the value of x5- 12x4 + 12x3 - 12x2 + 12x - 1 is
Options:
1) 11
2) 10
3) 12
4) -10
Q58.If x, y, z are the three factors of a3 -7a - 6, then value of x+y+z will be Options:
1) 3a
2) 3
3) 6
4) a
Q59.ABCD is a cyclic quadrilateral of which AB is the diameter. Diagonals AC and BD intersect at E. If ÐDBC = 35°, then ÐAED measures
Options:
1) 35°
2) 45°
3) 55°
4) 90°
Q60.In a triangle ABC, ÐA = 70°, ÐB = 80° and D is the incentre of D ABC. ÐACB = 2x° and ÐBDC = y°. The values of x and y, respectively are
Options:
1) 15, 130
2) 15, 125
3) 35, 40
4) 30, 150
Q61.In a right angled triangle D DEF, if the length of the hypotenuse EF is 12 cm, then the length of the median DX is
Options:
1) 3 cm
2) 4 cm
3) 6 cm
4) 12 cm
Q62.PQRA is a rectangle, AP = 22 cm, PQ = 8 cm. D ABC is a triangle whose vertices lie on the sides of PQRA such that BQ = 2 cm and QC = 16 cm. Then the length of the line joining the mid points of the sides AB and BC is
Options:
1) 4Ö2 cm
2) 5 cm
3) 6 cm
4) 10 cm
Q63.DABC is an isosceles right angled triangle having ÐC = 90°. If D is any point on AB, then AD2+ BD2 is equal to
Options:
1) CD2
2) 2CD2
3) 3CD2
4) 4CD2
Q64.D and E are points on the sides AB and AC respectively of D ABC such that DE is parallel to BC and AD:DB = 4:5, CD and BE intersect each other at F. Then the ratio of the areas of D DEF and D CBF
Options:
1) 16:25
2) 16:81
3) 81:16
4) 4:9
Q65.Diagonals of a Trapezium ABCD with AB CD intersect each other at the point O. If AB = 2CD, then the ratio of the areas of
DAOB and DCOD is
Options:
1) 4:1
2) 1:16
3) 1:4
4) 16:1
Q66.If O is the orthocentre of a triangle ABC and ÐBOC = 100°, the measure of ÐBAC is
Options:
1) 100°
2) 180°
3) 80°
4) 200°
Q67.PQ and RS are common tangents to two circles intersecting at A and B. AB, when produced both sides, meet the tangents PQ and RS at X and Y, respectively. If AB = 3 cm, XY = 5 cm, then PQ (in cm) will be
Options:
1) 3 cm
2) 4 cm
3) 5 cm
4) 2 cm
Q68.If sin P + cosec P = 2, then the value of sin7 P + cosec7P is
Options:
1) 1
2) 2
3) 3
4) 0
Q69.The value of the expression 2 (sin6q+cos6q)-3 (sin4q +cos4q)+1 is
Options:
1) -1
2) 0
3) 1
4) 2
Q70.The distance between two pillars is 120 metres. The height of one pillar is thrice the other. The angles of elevation of their tops from the midpoint of the line connecting their feet are complementary to each other. The height (in metres) of the taller pillar is (Use : Ö3 = 1.732)
Options:
1) 34.64
2) 51.96
3) 69.28
4) 103.92
Q71.If x = cosecq - sinq and y = secq - cosq, then the relation between x and y is
Options:
1) x2+ y2+ 3 =1
2) x2y2 (x2+ y2+3)=1
3) x2 (x2+ y2 - 5)=1
4) y2 (x2+ y2 - 5)=1
Q72.A hydrogen filled balloon ascending at the rate of 18 kmph was drifted by wind. Its angle of elevation at 10th and 15th minutes were found to be 60° and 45° respectively. The wind speed (in whole numbers) during the last five minutes, approximately, is equal to
Options:
1) 7 km/hr
2) 11 km/ hr
3) 26 km/hr.
4) 33 km/hr
Q73.The angle of elevation of an aeroplane as observed from a point 30 m above the transparent water-surface of a lake is 30° and the angle of depression of the image of the aeroplane in the water of the lake is 60°. The height of the aeroplane from the water-surface of the lake is
Options:
1) 60 m
2) 45 m
3) 50 m
4) 75 m
Q74.The angles of depression of two ships from the top of a light house are 60° and 45° towards east. If the ships are 300 m apart, the height of the light house is
Options:
1) 200 (3+Ö3) meter
2) 250 (3+Ö3) meter
3) 150 (3+Ö3) meter
4) 160 (3+Ö3) meter
Q75.By how much percentage is the average number of females from all the organisations together is more than the number of males in organization 'D'?
Options:
1) 30%
2) 38%
3) 40%
4) 45%
Q76.What is the ratio of the number of females from the organisations B and C to the number of males from the organisations D and E?
Options:
1) 12 : 11
2) 12 : 15
3) 11 : 15
4) 15 : 11
Q77.Males from organisations A and B together form what percent of total number of males from organisations C, D and E together?
Options:
1) 78.04%
2) 87.44%
3) 47.08%
4) 74.08%
Q78.What is the ratio of average number of females from the organisations A, B and C to the average number of males from the organisations C, D and E?
Options:
1) 42 : 41
2) 41 : 42
3) 40 : 41
4) 41 : 40
SSC CGL (Tier - 2) Online Re-exam Paper – 2016
Answer key
33. 1
34. 3
35. 2
36. 1
37. 4
38. 2
39. 1
40. 1
41. 3
42. 2
43. 2
44. 1
45. 1
46. 4
47. 4
48. 3
49. 2
50. 3
51. 2
52. 1
53. 2
54. 3
55. 1
56. 2
57. 2
58. 1
59. 3
60. 2
61. 3
62. 2
63. 2
64. 2
65. 1
66. 3
67 2
68 2
69 2
70 4
71 2
72 4
73 1
74 3
75 3
76 4
77 1
78 1