SSC CGL TierII Free Online Mock Test (Math Paper)1
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 Answered
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Question 1 of 100
1. Question
1 point(s)Category: Quantitative AptitudeFrom a solid right circular cylinder of length 4 cm and diameter 6 cm, a conical cavity of the same height and base is hollowed out. The whole surface of the remaining solid (in square cm.) is
CorrectIncorrect 
Question 2 of 100
2. Question
1 point(s)Category: Quantitative AptitudeThe area of the parallelogram whose length is 30 cm. width is 20 cm and one diagonal is 40 cm is
CorrectIncorrect 
Question 3 of 100
3. Question
1 point(s)Category: Quantitative AptitudeEach member of a club contributes as much rupees and as much paise as the number of members of the club. If the total contribution is Rs. 2525, then the number of members of the club is
CorrectIncorrect 
Question 4 of 100
4. Question
1 point(s)Category: Quantitative AptitudeThe marked price of an article is Rs. 5000, But due to special festive offer a certain percent of discount is declared. Mr. x availed this opportunity and bought the article at reduced price. He then sold it at Rs. 5000 and thereby made a profit of 11^{1}/_{9}%. The Percentage of discount allowed was ?
CorrectIncorrect 
Question 5 of 100
5. Question
1 point(s)Category: Quantitative AptitudeLet x = ^{√13+√11}/_{√13√11} and y = ^{1}/_{x}, then the value of 3x² – 5xy + 3y² is
CorrectIncorrect 
Question 6 of 100
6. Question
1 point(s)Category: Quantitative AptitudeThe portion of a ditch 48 m long, 16.5 m wide and 4 m deep that can be filled earth stones and earth available during excavation of a funnel, cylindrical in shape, of diameter 4 m and length 56 m is
(take π = ^{22}/_{7})CorrectIncorrect 
Question 7 of 100
7. Question
1 point(s)Category: Quantitative AptitudeIn a college union, there are 48 students. The ratio of the number of boys to the number of girls is 5:3. The number of girls to be added in the union, so that the number of boys to girls in 6:5 is
CorrectIncorrect 
Question 8 of 100
8. Question
1 point(s)Category: Quantitative AptitudeTwenty one times of a positive number is less than its square by 100. The value of the positive number is
CorrectIncorrect 
Question 9 of 100
9. Question
1 point(s)Category: Quantitative AptitudeIn a school there were 1554 students and the ratio of the number of the boys and girls was 4 : 3. After a few days, 30 girls joined the school but a few boys left; as a result the ratio of the boys and girls became 7 : 6. The number of boys who left the school is
CorrectIncorrect 
Question 10 of 100
10. Question
1 point(s)Category: Quantitative AptitudeIf 60% of A = 3% of B, B = 4% of C, C = x% of A, then value of x is
CorrectIncorrect 
Question 11 of 100
11. Question
1 point(s)Category: Quantitative AptitudeCorrectIncorrect 
Question 12 of 100
12. Question
1 point(s)Category: Quantitative AptitudeFor an equilateral triangle, the ratio of the inradius and the inradius is
CorrectIncorrect 
Question 13 of 100
13. Question
1 point(s)Category: Quantitative AptitudeA scored 72% in a paper with a maximum marks of 900 and 80% in another paper with a maximum marks of 700. If the result is based on the combined percentage of two papers, the combined percentage is
CorrectIncorrect 
Question 14 of 100
14. Question
1 point(s)Category: Quantitative AptitudeA right circular cylinder is partially filled with water. Two iron spherical balls are completely immersed in the water so that the height of the water in the cylinder rises by 4 cm. If the radius of one ball is half of the other and the diameter of the cylinder is 18 cm, then the radii of the spherical balls are
CorrectIncorrect 
Question 15 of 100
15. Question
1 point(s)Category: Quantitative AptitudeMr. Kapur purchased two toy cycles for Rs 750 each. He sold these cycles, gaining 6% on one and losing 4% on the other. The gain or loss percent in the whole transaction is
CorrectIncorrect 
Question 16 of 100
16. Question
1 point(s)Category: Quantitative AptitudeThe 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
CorrectIncorrect 
Question 17 of 100
17. Question
1 point(s)Category: Quantitative AptitudeIn triangle ABC, DE   BC where D is a point on AB and E is a point on AC. DE divides the area of ΔABC into two equal Parts. Then DB : AB is equal to
CorrectIncorrect 
Question 18 of 100
18. Question
1 point(s)Category: English Language & ComprehensionWater taxis increased by 20% but its consumption ls decreased by 2%. Then the increase or decrease in the expenditure of the money is
CorrectIncorrect 
Question 19 of 100
19. Question
1 point(s)Category: Quantitative AptitudeCorrectIncorrect 
Question 20 of 100
20. Question
1 point(s)Category: Quantitative AptitudeA man borrowed some money and agreed to payoff by paying Rs 3150 at the end of the 1^{st} year and Rs 4410 at the end of the 2^{nd} year. If the rate of compound interest is 5% per annum, then the sum is
CorrectIncorrect 
Question 21 of 100
21. Question
1 point(s)Category: Quantitative AptitudeThe length of a side of an equilateral triangle is 8 cm. The area of the region lying between the circum circle and the incircle of the triangle is (use: π = ^{22}/_{7})
CorrectIncorrect 
Question 22 of 100
22. Question
1 point(s)Category: Quantitative AptitudeThe numerator of a fraction is multiple of two numbers. One of the numbers is greater than the other by 2. The greater number is smaller than the denominator by 4. If the denominator 7+C (C > 7) is a constant, then the minimum value of the fraction is
CorrectIncorrect 
Question 23 of 100
23. Question
1 point(s)Category: Quantitative AptitudeIn a right angled triangle ΔPOR, PR is the hypotenuse of length 20cm, ㄥPRQ=30°, the area of the triangle is
CorrectIncorrect 
Question 24 of 100
24. Question
1 point(s)Category: Quantitative AptitudeThe unit digit in the product (2467)^{153} x (341)^{72} is
CorrectIncorrect 
Question 25 of 100
25. Question
1 point(s)Category: Quantitative AptitudeIf sin P + cosec P = 2, then the value of sin^{7} P + cosec^{7}P is
CorrectIncorrect 
Question 26 of 100
26. Question
1 point(s)Category: Quantitative AptitudeThe angles of depression of two ships from the top of a lighthouse are 60° and 45° towards east. If the ships are 300 m apart, the height of the light house is
CorrectIncorrect 
Question 27 of 100
27. Question
1 point(s)Category: Quantitative AptitudeCorrectIncorrect 
Question 28 of 100
28. Question
1 point(s)Category: Quantitative AptitudeThe value of
CorrectIncorrect 
Question 29 of 100
29. Question
1 point(s)Category: Quantitative Aptitudex can copy 80 pages in 20 hours. x and y together can copy 135 pages in 27 hours they y can copy 20 pages in
CorrectIncorrect 
Question 30 of 100
30. Question
1 point(s)Category: Quantitative AptitudeIf A : B = ½ : ⅓ , B : C = ⅕ : ⅓ then (A+B) : (B+C) is equal to
CorrectIncorrect 
Question 31 of 100
31. Question
1 point(s)Category: Quantitative AptitudeA tank has two pipes. The first pipe can fill it in 4 hours and the second can empty it in 16 hours. If two pipes be opened together at a time, then the tank will be filled in
CorrectIncorrect 
Question 32 of 100
32. Question
1 point(s)Category: Quantitative AptitudeA 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
CorrectIncorrect 
Question 33 of 100
33. Question
1 point(s)Category: Quantitative AptitudeCorrectIncorrect 
Question 34 of 100
34. Question
1 point(s)Category: Quantitative AptitudeA shopkeeper buys a product of Rs 150 per Kg. 15% of product was damaged. At what price (per Kg) should he sell the remaining so as to earn a profit
CorrectIncorrect 
Question 35 of 100
35. Question
1 point(s)Category: Quantitative AptitudeA’s income is Rs 140 more than B’s income and C’s income is Rs 80 more than D’s. If the ratio of A’s and C’s income is 2:3 and the ratio of B’s and D’s income is 1:2, then the incomes of A, B, C and D are respectively
CorrectIncorrect 
Question 36 of 100
36. Question
1 point(s)Category: Quantitative AptitudeA shopkeeper purchased 510 eggs at the rate of Rs. 20 per dozen. 30 eggs were broken on the way. In order to make a gain of 20%, he must sell the remaining eggs at the rate of
CorrectIncorrect 
Question 37 of 100
37. Question
1 point(s)Category: Quantitative Aptitudelf ^{2p}/_{pr2p+1} = ¼ then the value of (^{p+1}/_{p})
CorrectIncorrect 
Question 38 of 100
38. Question
1 point(s)Category: Quantitative AptitudeIf the length of each of two equal sides of an isosceles triangle is 10 cm. and the adjacent angle is 45°, then the area of the triangle is
CorrectIncorrect 
Question 39 of 100
39. Question
1 point(s)Category: Quantitative AptitudeAverage of n numbers is a. The first number is increased by 2, second one is increased by 4, the third one is increased by 8 and so on. The average of the new numbers is
CorrectIncorrect 
Question 40 of 100
40. Question
1 point(s)Category: Quantitative AptitudeThe value of cot 41°.cot 42°.cot 43°.cot 44°.cot 45°.cot 46°.cot 47°.cot 48°.cot 49°
CorrectIncorrect 
Question 41 of 100
41. Question
1 point(s)Category: Quantitative AptitudeIf 64 buckets of water are removed from a cubical shaPed water tank completely filled with water, ⅓ of the tank remains filled with water. The length of each side of the tank is 1.2 m. Assuming that all buckets are of the sarne measure, then the volume (in litres) of water contained by each bucket is
CorrectIncorrect 
Question 42 of 100
42. Question
1 point(s)Category: Quantitative AptitudeIf x² + y² + z² = xy + yz + zx, then the value of
CorrectIncorrect 
Question 43 of 100
43. Question
1 point(s)Category: Quantitative AptitudeA and B can do a piece of working 30 and 36 dala respectively.They began the work together but A left after some days and B finished the remaining work in 25 days. After how many days did A leave?
CorrectIncorrect 
Question 44 of 100
44. Question
1 point(s)Category: Quantitative AptitudeRamesh and Rahman can do a work in 20 and 25 days respectively. After doing collectively 10 days of work, they leave the work due to illness and Suresh completes rest of the work in 3 days. How many days Suresh alone can take to complete the whole work ?
CorrectIncorrect 
Question 45 of 100
45. Question
1 point(s)Category: Quantitative AptitudeA man buys 3 typeI cakes and 6 typeII cakes for Rs. 900. He sells typeI cakes at a profit of 15% and typeII cakes at a loss of 10%. If his overall profit is Rs.30, the cost price (in Rs.) of a typeI and of a typeII cakes is
CorrectIncorrect 
Question 46 of 100
46. Question
1 point(s)Category: Quantitative AptitudeThe height of an equilateral triangle is 18 cm. Its area is
CorrectIncorrect 
Question 47 of 100
47. Question
1 point(s)Category: Quantitative AptitudeThe principal which gives Rs. 1 interest per day at a rate of 5% simple interest Per annum is
CorrectIncorrect 
Question 48 of 100
48. Question
1 point(s)Category: Quantitative AptitudeThe outer and inner diameter of a circular path be 728 metre and 700 metre respectively. The breadth of the path is
CorrectIncorrect 
Question 49 of 100
49. Question
1 point(s)Category: Quantitative AptitudeWhen x^{m} is multiplied by x^{n}, product ts 1. The relation between m and n is
CorrectIncorrect 
Question 50 of 100
50. Question
1 point(s)Category: Quantitative AptitudeA profit of 12% is made when & a mobile Phone is sold at Rs.P and there is 4% loss when the Phone ls sold at Q Then Q : P is
CorrectIncorrect 
Question 51 of 100
51. Question
1 point(s)Category: Quantitative AptitudeThe ratio between the area of a square and that of a circle, when the length of a side of the square is equal to that of the diameter of the circle, is (take π=,^{22}/_{7})
CorrectIncorrect 
Question 52 of 100
52. Question
1 point(s)Category: Quantitative AptitudeA complete factorization of x^{4} + 64 is
CorrectIncorrect 
Question 53 of 100
53. Question
1 point(s)Category: Quantitative AptitudeIf x tan 60° + cos 45° = sec 45° then the value of x² + 1 is
CorrectIncorrect 
Question 54 of 100
54. Question
1 point(s)Category: Quantitative AptitudeIf x²+^{1}/_{x²} = 98 (x>0), then the value of x²+^{1}/_{x²} is
CorrectIncorrect 
Question 55 of 100
55. Question
1 point(s)Category: Quantitative AptitudeA 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
CorrectIncorrect 
Question 56 of 100
56. Question
1 point(s)Category: Quantitative AptitudeA 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
CorrectIncorrect 
Question 57 of 100
57. Question
1 point(s)Category: Quantitative AptitudeThe H.C.F. and L.C.M. of two numbers are 2 I and 84 respectively. If the ratio the two numbers is 1 : 4, then the larger of the two numbers is
CorrectIncorrect 
Question 58 of 100
58. Question
1 point(s)Category: Quantitative AptitudeIf A : B =2 : 3 and B : C = 3 : T, then A + B : B + C : C + A is
CorrectIncorrect 
Question 59 of 100
59. Question
1 point(s)Category: Quantitative AptitudeA, B and C can do a work separately in 16, 32 and 48 days respectively. They started the work together but B left off 8 days and C six days before the completion of the work. In what time is the work finished?
CorrectIncorrect 
Question 60 of 100
60. Question
1 point(s)Category: Quantitative AptitudeCorrectIncorrect 
Question 61 of 100
61. Question
1 point(s)Category: Quantitative AptitudeThe average age of 30 students of a class is 14 years 4 months. After admission of 5 new students in the class the average becomes 13 years 9 months. The youngest one of the five new students is 9 years 11 months old. The average age of the remaining 4 new students is
CorrectIncorrect 
Question 62 of 100
62. Question
1 point(s)Category: Quantitative AptitudeIn a triangle ABC, ∠A = 70°, ∠B = 80° and D is the incentre of ΔABC. ∠ACB = 2x° and ∠BDC = y°. The values of x and y, respectively are
CorrectIncorrect 
Question 63 of 100
63. Question
1 point(s)Category: Quantitative AptitudeIf x = 11, the value of x^{5} – 12x^{4} + 12x^{3} – 12x^{2} + 12x – 1 is
CorrectIncorrect 
Question 64 of 100
64. Question
1 point(s)Category: Quantitative AptitudeThe centroid of a ΔABC is G. The area of ΔABC is 60 cm², The area of ΔGBC is
CorrectIncorrect 
Question 65 of 100
65. Question
1 point(s)Category: Quantitative AptitudeMr. x and Mr. y each bought the same motorcycle using a 10% of coupon. Mr. x’s cashier took 10% off the price and then added 8.5% sales tax whereas Mr. y’s cashier first added the sales tax and then took 10% off the total price. The amount Mr. x paid is
CorrectIncorrect 
Question 66 of 100
66. Question
1 point(s)Category: Quantitative AptitudeThe average (arithmetic mean) of 3^{30}, 3^{60} and 3^{90} is
CorrectIncorrect 
Question 67 of 100
67. Question
1 point(s)Category: Quantitative AptitudeCorrectIncorrect 
Question 68 of 100
68. Question
1 point(s)Category: Quantitative AptitudeIf the average of eight consecutive even number be 93. Then the greatest number among them is
CorrectIncorrect 
Question 69 of 100
69. Question
1 point(s)Category: Quantitative AptitudeIf x can finish a job in 4 hours and y can finish the same job in 8 hours independently then they together will finish the job in
CorrectIncorrect 
Question 70 of 100
70. Question
1 point(s)Category: Quantitative AptitudeIf 0 ≤ θ ≤ 90° and + cos²θ – 4√3 cosθ + 3 = 0 then the value of θ is
CorrectIncorrect 
Question 71 of 100
71. Question
1 point(s)Category: Quantitative AptitudeIf ^{35x}/_{2x} + ^{35y}/_{2y} + ^{35z}/_{2z} = 0, the value of ^{2}/_{x} + ^{2}/_{y} + ^{2}/_{z} is
CorrectIncorrect 
Question 72 of 100
72. Question
1 point(s)Category: Quantitative AptitudeWhen principal = Rs. S, rate of interest =2r% p.a, then a person will get after 3 Years at compound interest
CorrectIncorrect 
Question 73 of 100
73. Question
1 point(s)Category: Quantitative AptitudeThe angle of elevation of an aeroplane as observed from a point 30 m above the transparent watersurface 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 watersurface of the lake is
CorrectIncorrect 
Question 74 of 100
74. Question
1 point(s)Category: Quantitative AptitudeThe angle of elevation of the top of a tower, vertically erected in the middle of a paddy field, from two points on a horizontal line through the foot of the tower are given to be α and β (α > β). The height of the tower is h unit. A possible distance (in the same unit) between the points is
CorrectIncorrect 
Question 75 of 100
75. Question
1 point(s)Category: Quantitative AptitudePQ is a tangent to the circle at T. If TR = TS where R and S are points on the circle and ∠RST = 65°, the ∠PTS =
CorrectIncorrect 
Question 76 of 100
76. Question
1 point(s)Category: Quantitative AptitudeRubi 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
CorrectIncorrect 
Question 77 of 100
77. Question
1 point(s)Category: Quantitative AptitudeIf sinθ+cosθ=√2 sin (90° 0), then the value of cotθ is
CorrectIncorrect 
Question 78 of 100
78. Question
1 point(s)Category: Quantitative AptitudeThree runners A,B and C run a race, with runner A finishing 12 meters ahead of runner B and 18 meters ahead of runner C, while runner B finishes 8 meters ahead of runner C. Each runner travels the entire distance at a constant speed. The length of the race is
CorrectIncorrect 
Question 79 of 100
79. Question
1 point(s)Category: Quantitative AptitudeThe ratio of the number of boys and girls in a school is 3:2. If 20% of the boys and 25% of the girls are scholarship holders, the percentage of the school students who are not scholarship holders is
CorrectIncorrect 
Question 80 of 100
80. Question
1 point(s)Category: Quantitative AptitudeCorrectIncorrect 
Question 81 of 100
81. Question
1 point(s)Category: Quantitative AptitudeIf 3(a² + b² + c²) = (a + b + c)², then the relation between a, b and c is
CorrectIncorrect 
Question 82 of 100
82. Question
1 point(s)Category: Quantitative Aptitude300 grams of sugar solution has 40% of sugar in it. How much sugar should be added to make it 50% in the solution?
CorrectIncorrect 
Question 83 of 100
83. Question
1 point(s)Category: Quantitative AptitudeWhile solving a Problem, by mistake, Anita squared a number and then subtracted 25 from it rather than first subtracting 25 from the number and then squaring it. But she got the right answer. What was the given number ?
CorrectIncorrect 
Question 84 of 100
84. Question
1 point(s)Category: Quantitative AptitudeIf a²sec²x – b²tan²x = c² then the value of sec²x + tan²x is equal to (assume b² ≠ a²)
CorrectIncorrect 
Question 85 of 100
85. Question
1 point(s)Category: Quantitative AptitudeIf a shopkeeper wants to give 20% discount on a toy, he has to sell it for Rs. 300. If he sales it at Rs. 405, then his gain percent is
CorrectIncorrect 
Question 86 of 100
86. Question
1 point(s)Category: Quantitative AptitudeThe height and the total surface area of a right circular cylinder are 4 cm and 8π sq.cm. respectively. The radius of the base of cylinder is
CorrectIncorrect 
Question 87 of 100
87. Question
1 point(s)Category: Quantitative AptitudeThe production of type Q vehicles in 2010 was approximately what Percent of type P vehicles in 2014?
CorrectIncorrect 
Question 88 of 100
88. Question
1 point(s)Category: Quantitative AptitudeTwo chords AB and CD of a circle with center O intersect at P. If ∠APC = 40°. Then the value of ∠AOC + ∠BOD is
CorrectIncorrect 
Question 89 of 100
89. Question
1 point(s)Category: Quantitative AptitudeA man purchases some oranges at the rate of 3 for Rs.40 and the same quantity at 5 for Rs. 60. If he sells all the oranges at the rate of 3 for Rs.50, find his gain or loss percent (to the nearest intege.
CorrectIncorrect 
Question 90 of 100
90. Question
1 point(s)Category: Quantitative Aptitudex does ¼ of a job in 6 days. y completes rest of the job in 12 days. Then x and y could complete the job together in
CorrectIncorrect 
Question 91 of 100
91. Question
1 point(s)Category: Quantitative AptitudeIf x = 1 + √2 + √3 , then the value of 2x^{4} – 8x^{3} – 5x^{2} + 26x – 28 is
CorrectIncorrect 
Question 92 of 100
92. Question
1 point(s)Category: Quantitative AptitudeA and B have their monthly incomes in the ratio 8 : 5, while their monthly expenditures are in the ratio 5 : 3. If they have saved Rs. 12,000 and Rs. .10,000 monthly respectively, then the difference in their monthly incomes is
CorrectIncorrect 
Question 93 of 100
93. Question
1 point(s)Category: Quantitative AptitudeDirection : Study the bar diagram and answer the given questions.
Ratio of highest and lowest marks obtained in first term among all the subjects isCorrectIncorrect 
Question 94 of 100
94. Question
1 point(s)Category: Quantitative AptitudeDirection : Study the bar diagram and answer the given questions.
Average marks obtained by the students for all subjects in second term is
CorrectIncorrect 
Question 95 of 100
95. Question
1 point(s)Category: Quantitative Aptitude(1 + sec 20° + cot 70°)(1 – cosec 20° + tan70°) is equal to
CorrectIncorrect 
Question 96 of 100
96. Question
1 point(s)Category: Quantitative AptitudeThe ratio of cost price and selling price of an article is 20:21. Then gain percent on it is
CorrectIncorrect 
Question 97 of 100
97. Question
1 point(s)Category: Quantitative AptitudeA dinner set is quoted for Rs 1500. A customer pays Rs 1173 for it. If the customer got a series of two discounts and the rate of first discount is 15% then the rate of second discount was,
CorrectIncorrect 
Question 98 of 100
98. Question
1 point(s)Category: Quantitative AptitudeThe whole surface area of a pyramid whose base is a regular polygon is 340 cm² and area of its base is 100 cm². Area of each lateral face is 30 cm². Then the number of lateral faces is
CorrectIncorrect 
Question 99 of 100
99. Question
1 point(s)Category: Quantitative AptitudeThe average weight of 3 men A, B and C is 84 Kg. Another man D joins the group and the average now becomes 80 Kg. If another man E whose weight is 3 Kg more than that of D, replaces A then the average weight of B, C, D and E becomes 79 Kg. What is the weight of A?
CorrectIncorrect 
Question 100 of 100
100. Question
1 point(s)Category: Quantitative AptitudeThe value of (11111)² is
CorrectIncorrect
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