SarkariPYQ

SSC CGL Tier II - Quant - 16 Nov 2020

Tier 2 • 16 November 2020 • 100 questions

Source label: Previous Paper

Question 1 / 100

The volume of a solid right cylinder of height 8 cm is 392 π cm3. Its curved surface area (in cm2) is:

Show answer & explanation

Correct answer: D

Explanation

The correct answer is option 4 i.e. 112 π.

Volume of the cylinder = πr2h = 392π

r2 × 8 = 392

r = 7.

The curved surface area of cylinder = 2πrh = 2 × π × 7 × 8 = 112π.

Open this question on its own page →

All 100 questions in this paper
  1. Q1.The volume of a solid right cylinder of height 8 cm is 392 π cm³. Its curved…
  2. Q2.(1+ tanθ + secθ)(1+cotθ – cosecθ)/(secθ + tanθ)(1-sinθ) is equal to:
  3. Q3.The graphs of the linear equations 3x - 2y = 8 and 4x + 3y = 5 intersect at…
  4. Q4.In which year was the production of computers of the company 16% more than the…
  5. Q5.In △ABC, O is the incentre and ∠BOC = 135º. The measure of ∠BAC is:
  6. Q6.Amrita travels from her house at 3½ km/h and reaches her school 6 minutes…
  7. Q7.If x² + 4y² = 17 and xy = 2, where x> 0, y > 0, then what is the value of x³ +…
  8. Q8.If a + b + c = 7 and a³ + b³ + c³ - 3abc = 175, then what is the value of (ab…
  9. Q9.A T.V. is sold at 8% gain. Had it been sold for Rs 714 more, the gain would…
  10. Q10.When 5 children from class A join class B, the number of children in both…
  11. Q11.If A is 40% less than B and C is 40% of the sum of A and B, then by what…
  12. Q12.In △ ABC, D and E are the mid-points of sides BC and AC, respectively. AD and…
  13. Q13.A and B start moving from places X and Y and Y to X, respectively, at the same…
  14. Q14.In △ABC, M and N are the points on side BC such that AM Ʇ BC, AN is the…
  15. Q15.A drink of chocolate and milk contains 8% pure chocolate by volume. If 10…
  16. Q16.In a quadrilateral ABCD, E is a point in the interior of the quadrilateral…
  17. Q17.Pipes A and B can fill a tank in 12 minutes and 15 minutes, respectively. The…
  18. Q18.A secant PAB is drawn from an external point P to the circle with centre O…
  19. Q19.Raju ate 3/8 part of a pizza and Adam ate 3/10 part of the remaining pizza…
  20. Q20.If 2x² - 7x + 5 = 0, then what is the value of x² + 25/4x²?
  21. Q21.Let x be the greater number which when divides 955, 1027, 1075 the remainder…
  22. Q22.The ratio of the monthly incomes of X and Y is 5 : 4 and that of their monthly…
  23. Q23.In △ABC, D and E are points on the sides AB and AC, respectively, such that…
  24. Q24.A, B and C invested capital in the ratio 5 : 7 : 4, the timing of their…
  25. Q25.In a circle with centre O, AB is the diameter. P and Q are two points on the…
  26. Q26.In △ PQR, ∠P = 90º, S and T are the midpoints of sides PR and PQ…
  27. Q27.The value of 0.5̅7̅ - 0.43̅2̅ + 0.35̅ is:
  28. Q28.Let D and E be two points on the side BC of △ABC such that AD = AE and ∠BAD =…
  29. Q29.The total production of computers in 2013, 2015 and 2018 is x% of the total…
  30. Q30.(sec A(sec A + tan A)(1 - sin A))/((cosec² A-1)sin² A) is equal to:
  31. Q31.If a regular polygon has 16 sides, then what is the measure (in degrees) of…
  32. Q32.In a circle, O is the centre of the circle, Chords AB and CD intersect at P…
  33. Q33.If 1/(X + 1/(y + 2/(z+1/4)))= 29/79 , where x, y and z are natural numbers…
  34. Q34.A certain sum is divided between A, B, C and D such that the ratio of the…
  35. Q35.let x be the least number which when subtracts from 10424 gives a perfect…
  36. Q36.The ratio of the radii of two cones is 5 : 6 and their volumes are in the…
  37. Q37.From a solid cylindrical wooden block of height 18 cm and radius 7.5 cm, a…
  38. Q38.The compound interest on a sum of Rs 20,000 at 15% p.a. for 2 2/3 years…
  39. Q39.Renu saves 20% of her income. If her expenditure increases by 20% and income…
  40. Q40.A sold an item to B at 20% gain, B sold it to C at 8% gain. C sold it to D at…
  41. Q41.The value of 31/5div41/2 of 51/3+1/8div1/2 of 1/4(1/2div1/8times1/(4)) is:
  42. Q42.A loan is to be returned in two equal yearly instalments. If the rate of…
  43. Q43.If a : b : c = 1/4 : 1/3 : 1/2 , then a/b : b/c : c/a = ?
  44. Q44.The base of a right pyramid is an equilateral triangle with side 8 cm, and its…
  45. Q45.In △ABC, D and E are points on the sides AB and AC, respectively, such that…
  46. Q46.A metallic solid sperical ball of radius 3 cm is melted and recast into three…
  47. Q47.What is the area (in sq. units) of the triangle formed by the graphs of the…
  48. Q48.The value of 4 ÷ 12 of [3 ÷ 4 of {(4 - 2) × 6 ÷ 2}] - 2 × 6 ÷ 8 + 3 is:
  49. Q49.A can-do 1/3 of work in 30 days. B can do 2/5 of the same work in 24 days…
  50. Q50.The base of a solid right prism of height 10 cm is a square and its volume is…
  51. Q51.The value of ((sinθ + cosθ - 1))/((sinθ - cosθ + 1)) × √((1 + sin θ)/(1 - sin…
  52. Q52.The value of [Image] is:
  53. Q53.An article is marked 25% above its cost price. If x % discount is allowed on…
  54. Q54.Let ab, a ≠ b, is a 2- digit prime number such that ba is also a prime number…
  55. Q55.The monthly salaries of A and B are the same. A, B and C donate 10%, 8% and 9%…
  56. Q56.The denominator of a fraction is 4 more than twice the numerator. When the…
  57. Q57.Two men and 7 women can complete a work in 28 days, whereas 6 men and 16 women…
  58. Q58.If the five-digit number 235xy is divisible by 3, 7 and 11, then what is the…
  59. Q59.A boat can go 5 km upstream and 7 1/2 km downstream in 45 minutes. It can also…
  60. Q60.A sum of Rs 10,500 amounts to Rs 13,650 in 2 years at a certain rate percent…
  61. Q61.Study the pie - chart and answer the question:- Break up (degree wise) of…
  62. Q62.If the radius of a sphere is increased by 2.5 decimetre (dm), then its surface…
  63. Q63.A solid metallic cuboid of dimensions 18 cm × 36 cm × 72 cm is melted and…
  64. Q64.When x is subtracted from each of 19, 28, 55 and 91, the numbers so obtained…
  65. Q65.If cosec θ = b/a, then (√(3)cotθ+1)/(tanθ+√()3) is equal to:
  66. Q66.A shopkeeper bought 20 kg of rice at Rs 55 per kg, 25 kg of rice at Rs 50 per…
  67. Q67.Reshma buys two articles A and B for Rs 1,734. She sells A at a loss of 16%…
  68. Q68.If X = sec 57º, then cot²33º + sin² 57º + sin² 33º +…
  69. Q69.The value of (5 cos² 60ᵒ + 4 sec² 30ᵒ -tan² 45ᵒ)/(tan² 60ᵒ - sin² 30ᵒ - cos²…
  70. Q70.Alloy A contains metals x and y only in the ratio 5 : 2 and alloy B contains…
  71. Q71.If x - 1/x = 5, x ≠ 0, then what is the value of (x⁶+3x³-1)/(x⁶-8x³-1) ?
  72. Q72.What price should Neeraj mark on a shrit that costs Rs 840, so as to earn a…
  73. Q73.(25% \ of \ (50% \ of \ 30% \ of \ 150))/(40% \ of \ 2250) is equal to:
  74. Q74.A train travelling at 36 km/hr crosses a pole in 25 sec. How much time (in…
  75. Q75.If the ratio of male and female students specializing in B is 4 : 3 and that…
  76. Q76.When positive numbers a, b and c are divided by 13, the remainders are 9, 7…
  77. Q77.In △ABC, right-angled at B, if tan A = 1/2 , then the value of…
  78. Q78.A and B enter into a partnership with capital in the ratio 5 : 6. After 4…
  79. Q79.The value of (7 + 3sqrt5)/(3+sqrt5) - (7 - 3sqrt5)/(3-sqrt5) lies between:
  80. Q80.The number of weeks, in which the cost of living index was 160 or more but…
  81. Q81.By what percent were the total exports of computers, by the company, in…
  82. Q82.The rate of interest for the first 2 years is 6% p.a. for the next 3 years is…
  83. Q83.A cyclindrical roller made of iron is 1.2 m lon g. Its internal radius is 24…
  84. Q84.A hemispherical tank full of water is emptied by a pipe at the rate of 7.7…
  85. Q85.The circumference of the base of a cylindrical vessel is 158.4 cm and its…
  86. Q86.The total number of students specializing in A and B exceeds the total number…
  87. Q87.A dealer marks his goods at 40% above the cost price. He sells 60% of the…
  88. Q88.The number of students in section A and section B of a class are 40 and 52…
  89. Q89.If √(11 - 3sqrt8) = a + b√2, then what is the value of (2a + 3b)?
  90. Q90.From the top of a hill 240 m high, the angles of depression of the top and…
  91. Q91.In what ratio should sugar costing Rs 40 per kg be mixed with sugar costing Rs…
  92. Q92.To do a certain work, the ratio of the efficiencies of A and B is 7 : 5…
  93. Q93.In △ABC, D is a point on side BC such that ∠ADC = 2∠BAD. If ∠A = 80º and…
  94. Q94.(sin²θ)/(cosθ(1+cosθ))+(1+cosθ)/(cosθ)=?
  95. Q95.The average of twenty- five number is 54. The average of the first 13 numbers…
  96. Q96.The value of (tan² A + cot²A - 2) - sec² A cosec² A is :
  97. Q97.The circumference of the base of a right circular cone is 44 cm and its height…
  98. Q98.If cos(2θ + 54º) = sinθ, 0º 1/(tan 5θ + cosec (5 θ)/2) ?
  99. Q99.If (x + y)³ + 8 (x - y)³= (3x + Ay)(3x² + Bxy + Cy²), then the value of A + B…
  100. Q100.A shopkeeper earns a profit of 21% after selling a book at 21% discount on the…