SSC CGL TierII Free Online Mock Test (Math Paper)4
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 Answered
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Question 1 of 100
1. Question
1 point(s)Category: Quantitative AptitudeA man sells an article at 5% above its cost price. If he had bought it at 5% less than what he had paid for it and sold it at Rs.2 less, he would have gained 10%. The cost price of the article is
CorrectIncorrect 
Question 2 of 100
2. Question
1 point(s)Category: Quantitative AptitudeA number when divided by 361 gives a remainder 47. lf the same number is divided by 19, the remainder obtained is
CorrectIncorrect 
Question 3 of 100
3. Question
1 point(s)Category: Quantitative AptitudeThe sum of squares of three positive integers is 323. If the sum of squares of two numbers is twice the third, their product is
CorrectIncorrect 
Question 4 of 100
4. Question
1 point(s)Category: Quantitative AptitudeIf tan θ – cot θ = 0 and θ ts positive acute angle, then the, then the value of tan(θ+15°)/tan(θ15°) is
CorrectIncorrect 
Question 5 of 100
5. Question
1 point(s)Category: Quantitative AptitudeRs 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
CorrectIncorrect 
Question 6 of 100
6. Question
1 point(s)Category: Quantitative AptitudeA car travels from A to B with 40 Km/h and returns from B to A with 60 Km/h. Its average speed during the whole journey is
CorrectIncorrect 
Question 7 of 100
7. Question
1 point(s)Category: Quantitative Aptituderight prism has a triangular base whose sides are 13 cm, 20 cm and 21 cm. If the altitude of the prism is 9 cm, then its volume is
CorrectIncorrect 
Question 8 of 100
8. Question
1 point(s)Category: Quantitative AptitudeIn an office, 4% of the staff is female. 70% of the female staff and 50% of the male staff are married. The Percentage of the unmarried staff in the of fice is
CorrectIncorrect 
Question 9 of 100
9. Question
1 point(s)Category: Quantitative AptitudeThe value of the expression 2(sin^{6}θ+cos^{6}θ)3(sin^{4}θ+cos^{4}θ)+1 is
CorrectIncorrect 
Question 10 of 100
10. Question
1 point(s)Category: Quantitative AptitudeThe profit earned by a shopkeeper by selling a bucket at a gain of 8% is Rs 28 more than when he sells it at a loss of 8%. The cost price (in Rupees) of the bucket is
CorrectIncorrect 
Question 11 of 100
11. Question
1 point(s)Category: Quantitative AptitudeWorking 7 hours in a day, 4 men can do a piece of work in 8 days. Working 8 hours in a day, the required number of men to perform the same work in 4 days will be
CorrectIncorrect 
Question 12 of 100
12. Question
1 point(s)Category: Quantitative AptitudeIn an equilateral triangle ABC, G is the centroid. Each side of the triangle is 6 cm. The length of AG is
CorrectIncorrect 
Question 13 of 100
13. Question
1 point(s)Category: Quantitative AptitudeA photographer allows a discount of 10% on the advertised price of a camera. The price (in Rs) that must be marked on the camera, which cost him Rs 600, to make a profit of 20% would be.
CorrectIncorrect 
Question 14 of 100
14. Question
1 point(s)Category: Quantitative AptitudeIf aman walks at the rate of 5 km/hour, he misses a train by 7 minutes. However if he walks at the rate of 6 km/ hour, he reaches the station 5 minutes before the arrival of the train. The distance covered by him to reach the station is
CorrectIncorrect 
Question 15 of 100
15. Question
1 point(s)Category: Quantitative AptitudeIf a + b = 1, then a^{4} + b^{4} – a^{3} – b^{3}2a^{2}b^{2}+ ab is equal to
CorrectIncorrect 
Question 16 of 100
16. Question
1 point(s)Category: Quantitative AptitudeIn 3 years Rs 3000 amounts to Rs 3993 at x% compound interest, compounded annually. The value of x is
CorrectIncorrect 
Question 17 of 100
17. Question
1 point(s)Category: Quantitative AptitudeA and B start an enterprise together, with A as active partner. A invests Rs 4000 and Rs 2000 more after 8 months. B invests Rs 5000 and withdraws Rs 2000 after 9 months. Being the active partner, A takes Rs 100 per month as allowance, from the profit. What is the share of B if the profit for the year is Rs 6700?
CorrectIncorrect 
Question 18 of 100
18. Question
1 point(s)Category: Quantitative AptitudeA spherical ball of radius 1 cm is dropped into a conical vessel of radius 3 cm and slant height 6 cm. The volume of water (in cm³), that can just immerse the ball, is
CorrectIncorrect 
Question 19 of 100
19. Question
1 point(s)Category: Quantitative Aptitudelf x cos² 30°. sin 60° = ^{tan² 45°.sec60°}/_{cosec60°} then the value of x is
CorrectIncorrect 
Question 20 of 100
20. Question
1 point(s)Category: Quantitative AptitudeIf secA + tanA = a, then the value of cosA is
CorrectIncorrect 
Question 21 of 100
21. Question
1 point(s)Category: Quantitative AptitudeA dealer fixed the price of an article 40% above the cost of production. While selling it he allows a discount of 20% and makes a profit of Rs. 48. The cost of production (in Rs.) of the article is
CorrectIncorrect 
Question 22 of 100
22. Question
1 point(s)Category: Quantitative AptitudeThe diameter of each wheel of a car ls 70 cm. If each wheel rotates 400 times Per minute’ then the speed of the car (in km/hr) is ( take π = ^{22}/_{7})
CorrectIncorrect 
Question 23 of 100
23. Question
1 point(s)Category: Quantitative AptitudeA man starts from a place P and reaches the place Q in 7 hours. He travels ¼th of the distance at 10 km/hour and the remaining distance at 12 km/hour. The distance between P and Q is
CorrectIncorrect 
Question 24 of 100
24. Question
1 point(s)Category: Quantitative AptitudeThe ratio of number of boys to the number of girls in a school of 432 pupils is 5 : 4. When some new boys and girls are admitted, the number of boys increase by 12 and the ratio of the boys to girls changes to 7 : 6. The number of new girls admitted is
CorrectIncorrect 
Question 25 of 100
25. Question
1 point(s)Category: Quantitative AptitudeThe 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
CorrectIncorrect 
Question 26 of 100
26. Question
1 point(s)Category: Quantitative AptitudeAssume that a drop of water is spherical and its diameter is onetenth of a cm. A conical glass has a height equal to the diameter of its rim. If 32000 drops of water fill the glass completely, then the height of the glass (in cm.) is
CorrectIncorrect 
Question 27 of 100
27. Question
1 point(s)Category: Quantitative AptitudeIn a farm there are cows and hens. If heads are counted they are 180, if legs are counted they are 420. The number of cows in the farm is
CorrectIncorrect 
Question 28 of 100
28. Question
1 point(s)Category: Quantitative AptitudeGiven that the ratio of altitudes of two triangles is 4 : 5, ratio of their areas is 3 : 2. The ratio of their corresponding bases is
CorrectIncorrect 
Question 29 of 100
29. Question
1 point(s)Category: Quantitative AptitudeDue to inclement weather, an airplane reduced its speed by 300 Km/ hr, and reached the destination of 1200 km late by 2hrs. Then the schedule duration of the flight was.
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Question 30 of 100
30. Question
1 point(s)Category: Quantitative AptitudeIf the ratio of the angles of a quadrilateral is 2 : 7 : 2 : 7, then it is a
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Question 31 of 100
31. Question
1 point(s)Category: Quantitative AptitudeIf a + b = 1, find the value of a² + b² – ab – (a² – b²)²
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Question 32 of 100
32. Question
1 point(s)Category: Quantitative AptitudeIf O is the orthocentre of a triangle ABC and ∠BOC = 100°, the measure of ∠BAC is
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Question 33 of 100
33. Question
1 point(s)Category: Quantitative AptitudeThe length of the diagonal of a rectangle with sides 4 m and 3 m would be
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Question 34 of 100
34. Question
1 point(s)Category: Quantitative AptitudeA manufacturer fixes his selling price at 33% over the cost of production. If cost of production goes up by 12% and manufacturer raises hls selling price by 10%, his percentage profit is
CorrectIncorrect 
Question 35 of 100
35. Question
1 point(s)Category: Quantitative AptitudeWhat is the average of difference of sales of Hindi and English newspapers in all localities ?
CorrectIncorrect 
Question 36 of 100
36. Question
1 point(s)Category: Quantitative Aptitudea + ^{1}/_{b} = b + ^{1}/_{x} = c + ^{1}/_{a} (where a ≠ b ≠ c), then abc is equal to
CorrectIncorrect 
Question 37 of 100
37. Question
1 point(s)Category: Quantitative Aptitudehe ratio of the amount of work done by (x1) labours in (x+1) days and that done by (x+1) labours in (x+2) days is 5 : 6. Then the value of x is
CorrectIncorrect 
Question 38 of 100
38. Question
1 point(s)Category: Quantitative AptitudeIf 90 men can do a certain job in 16 days, working 12 hours per day, then the part of that work which can be completed by 70 men in 24 days, working 8 hours per day is
CorrectIncorrect 
Question 39 of 100
39. Question
1 point(s)Category: Quantitative AptitudeA shopkeeper offers 15% discount on all plastic toys. He offers a further discount of 4% on the reduced price to those customers who pay cash. What does a customer have to pay (in Rs) in case for a toy of Rs 200?
CorrectIncorrect 
Question 40 of 100
40. Question
1 point(s)Category: Quantitative AptitudeA company employed 200 workers to complete a certain work in 150 days. If only one fourth of the work has been done in 50 days, then in order to complete the whole work in time, the number of additional workers to be employed was
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Question 41 of 100
41. Question
1 point(s)Category: Quantitative AptitudeLet x be the smallest number, which when added to 2000 makes the resulting number divisible by 12, 16, 18 and 21. The sum of the digits of x is
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Question 42 of 100
42. Question
1 point(s)Category: Quantitative AptitudeLet x be the smallest number, which when added to 2000 makes the resulting number divisible by 12, 16, 18 and 21. The sum of the digits of x is
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Question 43 of 100
43. Question
1 point(s)Category: Quantitative AptitudeIf a – ^{1}/_{a3} = 5, then the value of ^{1}/_{(a3)³} is
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Question 44 of 100
44. Question
1 point(s)Category: Quantitative AptitudeThe sides of a triangle are in the ratio ^{1}/_{2} : ^{1}/_{3} : ^{1}/_{4} and its perimeter is 104 cm. The length of the longest side (in cm) is
CorrectIncorrect 
Question 45 of 100
45. Question
1 point(s)Category: Quantitative AptitudeFrom 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
CorrectIncorrect 
Question 46 of 100
46. Question
1 point(s)Category: Quantitative AptitudeA builder purchases 25 windows at 25% off the total price of Rs.1,20,000. If the builder receives an additional discount of Rs.75000 for the purchase then the cost of each window is
CorrectIncorrect 
Question 47 of 100
47. Question
1 point(s)Category: Quantitative AptitudeIf sin A + sin^{2}A = 1. then the value of cos^{2}A + cos^{2}A + cos^{4}A is
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Question 48 of 100
48. Question
1 point(s)Category: Quantitative Aptitudex, y be two acute angles, x + y < 90° and sin(2x – 20°) = cos(2y + 20°), the value of tan(x + y) is
CorrectIncorrect 
Question 49 of 100
49. Question
1 point(s)Category: Quantitative AptitudeA can do as much work in 4 days as B can do in 5, and B can do as much work in 6 days as C in 7. In what time will C do a piece of work which A can do in a week ?
CorrectIncorrect 
Question 50 of 100
50. Question
1 point(s)Category: Quantitative AptitudeAB is a diameter of a circle with centre O. The tangents at C meets AB produced at Q. If ㄥCAB = 34°, then measure of ㄥCAB is
CorrectIncorrect 
Question 51 of 100
51. Question
1 point(s)Category: Quantitative AptitudeIn a partnership business, B’s capital was half of A’s. If after 8 months. B without and after 2 months more A withdraw ^{1}/_{4}th of his capital, then the profile ratio of A and B will be
CorrectIncorrect 
Question 52 of 100
52. Question
1 point(s)Category: Quantitative AptitudeThe external and the internal radii of a hollow right circular cylinder of height 15 cm are 6.75 cm and 5.25 cm respectively. If it is melted to form a solid cylinder of height half of the original cylinder, then the radius of the solid cylinder is
CorrectIncorrect 
Question 53 of 100
53. Question
1 point(s)Category: Quantitative AptitudeIf x – √5 – √2= 0 and y – √3 + √2 = 0, then the value or (x³ – 20√2) – (y³ + 20√2) is
CorrectIncorrect 
Question 54 of 100
54. Question
1 point(s)Category: Quantitative AptitudeThe time taken by 4 men to complete a job is double the time taken by 5 children to complete the same job. Each man is twice as fast as a woman. How long will 12 men, 10 children and 8 women take to complete a job, given that a child would finish the job in 20 days.
CorrectIncorrect 
Question 55 of 100
55. Question
1 point(s)Category: Quantitative AptitudeA boat takes half time in moving a certain distance downstream than upstream. The ratio of the speed of the boat in still water and that of the current is
CorrectIncorrect 
Question 56 of 100
56. Question
1 point(s)Category: Quantitative AptitudeQuadrilateral ABCD is circumscribed about a circle. If the lengths of AB, BC and CD are 7 cm, 8.5 cm, and 9.2 cm respectively, then the length (in cm) of DA is
CorrectIncorrect 
Question 57 of 100
57. Question
1 point(s)Category: Quantitative AptitudeA solid brass sphere of radius 2.1 cm is converted into a right circular cylindrical rod of length 7cm. The ratio of total surface areas of the rod to the sphere is
CorrectIncorrect 
Question 58 of 100
58. Question
1 point(s)Category: Quantitative AptitudeArticles are marked at a price which gives a profit of 25026. After allowing a certain discount the profit reduce to 12½%. The discount percent is
CorrectIncorrect 
Question 59 of 100
59. Question
1 point(s)Category: Quantitative AptitudeIf a + ^{1}/_{b} = b + ^{1}/_{c} = c = ^{1}/_{a}, where a ≠ b ≠ c ≠ 0, then the value of a² b² c² is
CorrectIncorrect 
Question 60 of 100
60. Question
1 point(s)Category: Quantitative AptitudeIn a right angled triangle ΔDEF, if the length of the hypotenuse EF is 12 cm, then the length of the median DX is
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Question 61 of 100
61. Question
1 point(s)Category: Quantitative AptitudeA man spend 7½% of his money and after spending 75% of the remaining, he had Rs 370 left. How much money did he have
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Question 62 of 100
62. Question
1 point(s)Category: Quantitative AptitudeThe area of an isosceles trapezium is 176 cm² and the height is ^{2}/_{11}th of the sum of its parallel sides. If the ratio of the length of the parallel sides is 4 : 7, then the length of a diagonal (in cm) is
CorrectIncorrect 
Question 63 of 100
63. Question
1 point(s)Category: Quantitative AptitudeThe angle of elevation of the top of an unfinished pillar at a point 150 metres from its base is 30°. The height (in metres) that the pillar must be raised so that its angle of elevation at the same point may be 45°, is (taking √3 = 1.732)
CorrectIncorrect 
Question 64 of 100
64. Question
1 point(s)Category: Quantitative AptitudeTwo types of tea costing Rs.180 per kg and Rs.280 per kg should be mixed in the ratio so that the mixture obtained, sold at Rs.320 Per kg to earn a profit of
CorrectIncorrect 
Question 65 of 100
65. Question
1 point(s)Category: Quantitative AptitudeA batsman has a certain average of runs for 12 innings. In the 13th inning he scores 96 runs thereby increasing his average by 5 runs. What will be his average after 13th inning?
CorrectIncorrect 
Question 66 of 100
66. Question
1 point(s)Category: Quantitative AptitudeA and B can do a piece of work in 18 days, B and C in 24 days, A and C in 36 days. Working together they can do the work in
CorrectIncorrect 
Question 67 of 100
67. Question
1 point(s)Category: Quantitative AptitudeIf a person marks a product 25% above the cost price but allows 10% discount, then the percentage of profile is
CorrectIncorrect 
Question 68 of 100
68. Question
1 point(s)Category: Quantitative AptitudeIf sec θ – tan θ = ^{1}/_{√3}, the value of sec θ. tan θ is
CorrectIncorrect 
Question 69 of 100
69. Question
1 point(s)Category: Quantitative AptitudeThe compound interest on Rs. 4000 for 4 years at 10% per annum will be
CorrectIncorrect 
Question 70 of 100
70. Question
1 point(s)Category: Quantitative AptitudeIf tan^{4}θ + tan^{2}θ = 1 then the value of cos^{4}θ + cos^{2}θ is
CorrectIncorrect 
Question 71 of 100
71. Question
1 point(s)Category: Quantitative AptitudePooja wants to sell a watch at a profit of 20%. She bought it at 10% less and sold it at Rs. 30 less but still she gained 20% the cost price of watch is
CorrectIncorrect 
Question 72 of 100
72. Question
1 point(s)Category: Quantitative AptitudeA 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
CorrectIncorrect 
Question 73 of 100
73. Question
1 point(s)Category: Quantitative AptitudeAD is perpendicular to the internal bisector of ㄥABC of ΔABC. DE is drawn through D and parallel to BC to meet AC at E. If the length of AC 12 cm, then the length of (in cm.) is
CorrectIncorrect 
Question 74 of 100
74. Question
1 point(s)Category: Quantitative AptitudeA piece of wire when bent to form a circle will have a radius of 84 cm. If the wire is bent to form a square, the length of a side of the square is
CorrectIncorrect 
Question 75 of 100
75. Question
1 point(s)Category: Quantitative AptitudeThe radii of two solid iron spheres are 1 cm and 6 cm respectively. A hollow sphere is made by melting the two sphere. Is the external radius of the hollow sphere is 9 cm. Then its thickness (in cm) is
CorrectIncorrect 
Question 76 of 100
76. Question
1 point(s)Category: Quantitative AptitudeIf the sum of radius and height of a solid cylinder is 20 cm and its total surface area is 880 cm² then its volume is
CorrectIncorrect 
Question 77 of 100
77. Question
1 point(s)Category: Quantitative AptitudeA and B can do a given piece of work in 8 days, B and C can do the same work in 12 days and A, B, C complete it in 6 days Number of days required to finish the work by A and C is
CorrectIncorrect 
Question 78 of 100
78. Question
1 point(s)Category: Quantitative AptitudeThe radii of two concentric circles are 17 cm and 25 cm. A straight line PQRS intersects the larger circle at the points P and S and intersects the smaller circle at the points Q and R If QR = 16 cm, then the length (in cm.) of PS is
CorrectIncorrect 
Question 79 of 100
79. Question
1 point(s)Category: Quantitative AptitudeA librarian purchased 60 story books for his library. But he found that he could get 4 extra books by spending Rs 336 more and then the overall average price per book would be reduced by Re 1. The previous average price of each book was
CorrectIncorrect 
Question 80 of 100
80. Question
1 point(s)Category: Quantitative AptitudeIf O is the circumcentre of a triangle ABC lying inside the triangle, then ㄥOBC + ㄥBAC, is equal to
CorrectIncorrect 
Question 81 of 100
81. Question
1 point(s)Category: Quantitative AptitudeThe circumference of a triangle is 24 cm and the circumference of its in circle is 44 cm.Then the area of the triangle is (taking π = ^{22}/_{7})
CorrectIncorrect 
Question 82 of 100
82. Question
1 point(s)Category: Quantitative AptitudeTwo regular polygons are such that the ratio between their number of sides is 1:2 and the ratio of measures of their interior angles is 3:4. Then the number of sides of each polygon are
CorrectIncorrect 
Question 83 of 100
83. Question
1 point(s)Category: Quantitative AptitudeOn increasing each side of a square by 50%, the ratio of the area of new square formed and the given square will be
CorrectIncorrect 
Question 84 of 100
84. Question
1 point(s)Category: Quantitative AptitudeIf sin (θ + 30°) = ^{3}/_{√12}, then the value of cos²θ is
CorrectIncorrect 
Question 85 of 100
85. Question
1 point(s)Category: Quantitative AptitudeThe average of six numbers is 3.95. The average of two of them is 3.4, while the average of the other two is 3.85. The average of the remaining two numbers is
CorrectIncorrect 
Question 86 of 100
86. Question
1 point(s)Category: Quantitative AptitudeIf the ratio of cost price to selling price is 10 : 11, then the rate of per cent of profit is
CorrectIncorrect 
Question 87 of 100
87. Question
1 point(s)Category: Quantitative AptitudeIf a and b are the lengths of the sides of a right triangle whose hypotenuse is 10 and whose area is 20, then the value of (a + b)² is
CorrectIncorrect 
Question 88 of 100
88. Question
1 point(s)Category: Quantitative AptitudeIf the arithmetic mean of 3a and 4b is greater than 50, and a is twice b, then the smallest Possible integer value of a is
CorrectIncorrect 
Question 89 of 100
89. Question
1 point(s)Category: Quantitative AptitudeIf the ordinate and abscissa of the point (k,2k 1) be equal, then the value of k is
CorrectIncorrect 
Question 90 of 100
90. Question
1 point(s)Category: Quantitative AptitudeThere is a wooden sphere of radius 6√3 cm. The surface area of the largest possible cube cut out from the sphere will be
CorrectIncorrect 
Question 91 of 100
91. Question
1 point(s)Category: Quantitative AptitudeThree cubes of iron whose edges are 6cm, 8cm and 10cm respectively are melted and formed into a single cube. The edge of the new cube formed is
CorrectIncorrect 
Question 92 of 100
92. Question
1 point(s)Category: Quantitative AptitudeIf the product of two positive numbers is 1575 and their ratio is 7 : 9, then the greater number is
CorrectIncorrect 
Question 93 of 100
93. Question
1 point(s)Category: Quantitative AptitudeTwo bottles contain acid and water in the ratio 2 : 3 and 1 : 2 respectively. These are mixed in the ratio 1 : 3. What is the ratio of acid and water in the new mixture ?
CorrectIncorrect 
Question 94 of 100
94. Question
1 point(s)Category: Quantitative AptitudeA Number is increased by 20%. To get back to the original number, the increased number is to be reduced by
CorrectIncorrect 
Question 95 of 100
95. Question
1 point(s)Category: Quantitative AptitudeTwo blends of a commodity costing Rs. 35 and Rs. 40 Per kg. respectively are mixed in the ratio 2 : 3 by weight. If onefifth of the mixture is sold at Rs. 46 per kg and the remaining at the rate of Rs.55 per kg. the profit percent is
CorrectIncorrect 
Question 96 of 100
96. Question
1 point(s)Category: Quantitative AptitudeA telegraph post is bent at a point above the ground due to starm. Its top just touches the ground at a distance of 10√30 metre from its foot and makes an angle of 30° with the horizontal. Then height (in metres) of the telegraph post is
CorrectIncorrect 
Question 97 of 100
97. Question
1 point(s)Category: Quantitative AptitudeIf the sum of squares of two real numbers is 41 and their sum is 9. Then the sum of cubes of these two numbers is
CorrectIncorrect 
Question 98 of 100
98. Question
1 point(s)Category: Quantitative AptitudeIn two types of brass, the ratios of Copper to Zinc are 8:3 and 15:7 respectively. If the two types of brass be melted and mixed in the ratio 5:2 a new type of brass is obtained. The ratio of Copper to Zinc in this new type of brass is
CorrectIncorrect 
Question 99 of 100
99. Question
1 point(s)Category: Quantitative AptitudeRamesh sold a book at a loss of 30%. If he had sold it for Rs. 140 more, he would have made a profit of 40%. The cost price of the book is
CorrectIncorrect 
Question 100 of 100
100. Question
1 point(s)Category: Quantitative AptitudeA shopkeeper increases the price of an object by 40% and then sells it at 25% discount on the marked price. If the selling price of such an object be Rs. 2100, its cost price for the shopkeeper was ?
CorrectIncorrect