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SSC CGL Tier II - Quant 13th Sep. 19

Tier 2 • 13 September 2019 • 100 questions

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Question 1 / 100

The value of  is:

Show answer & explanation

Correct answer: A

Explanation

The correct answer is option 1 i.e. 

Multiply and divide by  in C and by  in B and 

by  in A. we get

Hence we get, 

A + B - C = √2

 

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All 100 questions in this paper
  1. Q1.The value of [Image] is:
  2. Q2.A shopkeeper allows 18% discount on the marked price of an article & still…
  3. Q3.If finding the HCF of two numbers by division method, the last divisor is 17 &…
  4. Q4.If [Image] , then the value of [Image] is :
  5. Q5.A is as efficient as B & C together. Working together A & B can complete a…
  6. Q6.The average of 18 numbers is 37.5. If six numbers that have an average of x…
  7. Q7.The given pie chart shows the breakup of total marks obtained by a student in…
  8. Q8.If (5x + 2y) : (10x + 3y) = 5 : 9, then (2x²+ 3y²) : (4x²+ 9y²) = ?
  9. Q9.a, b and c are three fractions such that a < b < c. If c is divided by a, the…
  10. Q10.If 25% of half of x is equal to 2.5 times the value of 30% of one fourth of y…
  11. Q11.If 2 cos²θ + 3 sinθ = 3 where 0° θ θ + cos²θ + tan² 2θ + cosec² 2θ?
  12. Q12.Basir's working hours per day were increased by 15% and his wages per hour…
  13. Q13.ab(a - b) + bc(b - c) + ca(c - a) is equal to:
  14. Q14.A right prism has height 18 cm and its base is a triangle with sides 5 cm, 8…
  15. Q15.If the measure of each interior angle of a regular polygon is 513/7ᵒ , then…
  16. Q16.A sum of Rs. 10500 amounts to Rs. 13825 in [Image] yrs at a certain rate…
  17. Q17.A sphere of maximum volume is cut out from a solid hemisphere. What is the…
  18. Q18.The value of sin² 64° + cos 64°sin 26° + 2cos43°cosec47° is?
  19. Q19.A, B, C spend 80%, 85% & 75% of their incomes respectively. If their savings…
  20. Q20.The base of a right pyramid is an equilateral triangle with area 16√3 cm². If…
  21. Q21.A, B & C started a business with their capitals in the ratio 2 : 3 : 5. A…
  22. Q22.In a circle with centre O, ABCD is a cyclic quadrilateral & AC is a diameter…
  23. Q23.The value of [Image] is?
  24. Q24.If in triangle PQR, ∠P = 120&ordm;, PS is perpendicular to QR at S and PQ + QS…
  25. Q25.The radius & the height of a right circular cone are in the ratio 5 : 12. Its…
  26. Q26.Study the graph and answer the question: [Image] The ratio of the total demand…
  27. Q27.Walking at 60% of his usual speed, a man reaches his destination 1 hr 40…
  28. Q28.The radius of the base of a right circular cylinder is 3 cm & its curved…
  29. Q29.A person buys 80 kg of rice and sells it at a profit of as much money he paid…
  30. Q30.A tank is in the form of a cuboid with length 12 m. If 18 kilolitre of water…
  31. Q31.The given pie chart shows the break up of total marks obtained by a student in…
  32. Q32.The selling price of an article is 32% more than its cost price & the discount…
  33. Q33.The sides of a triangle are 12, 35 and 37 cm. What is the circumradius of the…
  34. Q34.The price of oil is increased by 20%. However , its consumption decreased by…
  35. Q35.Let x = 27⁽1/6) - √(6 3over4) and y = √(45) + √(605) +√(245)over √(80)+ √(125)…
  36. Q36.The value of [Image] is?
  37. Q37.The value of cosec(67° + θ) - sec(23°- θ) + cos15°cos35°cosec55°cos60°cosec75°…
  38. Q38.Let S be the set of all points (x, y) in the x-y plane such that | x | + | y |…
  39. Q39.If [Image] then the value of [Image] is ?
  40. Q40.A, B & C started a business. Thrice the investment of A is equal to twice the…
  41. Q41.An article was sold at a profit of 14%. Had it been sold for Rs. 121 less , a…
  42. Q42.A 15 m deep well with radius 2.8 m is dug and the earth taken out from it is…
  43. Q43.A circle touches the side BC of triangle ABC at D & AB and AC is produced to E…
  44. Q44.A can do one third of a work in 15 days, B can do 75% of the same work in 18…
  45. Q45.The value of 24 × 2 ÷ 12 + 12 ÷ 6 of 2 ÷ (15 ÷ 8 × 4) of (28 ÷ 7 of 5) is ?
  46. Q46.The value of √((28+10 √(3)))-√(7-4 √(3)) is closest to?
  47. Q47.The average age of 120 students in a group in 13.56 yrs, 35% of the number of…
  48. Q48.In an office, 5/8 of the total number of employees are males and the rest are…
  49. Q49.A person invested one-fourth of the sum of Rs. 25000 at a certain rate of…
  50. Q50.P & Q are two points on the ground on either side of a pole. The angles of…
  51. Q51.A sum is divided among A, B, C, D such that the ratio of the shares of A & B…
  52. Q52.Sudha brought 80 articles at the same price. She sold some of them at 8%…
  53. Q53.Pipes A and B are filling pipes while pipe C is an emptying pipe. A and B can…
  54. Q54.The marked price of an article is Rs. 1500. If the two successive discounts…
  55. Q55.Monika spends 72% of her income. If her income increases by 20% & savings…
  56. Q56.In a triangle ABC, D & E are the points on AB & AC respectively such that DE…
  57. Q57.The internal diameter of a hollow hemispherical vessel is 2.4 cm. It is made…
  58. Q58.Study the following bar graph and answer the given question [Image] The no of…
  59. Q59.25 persons can complete a work in 60 days. They started the work. 10 persons…
  60. Q60.If x is the remainder when 3⁶¹²⁸⁴ is divided by 5 and y is the remainder when…
  61. Q61.Two parallel chords on the same side of the centre of a circle are 12 cm and…
  62. Q62.The value of [Image] is:
  63. Q63.In an examination A obtained 10% more marks than B, B obtained 20% more marks…
  64. Q64.In triangle ABC, BE is perpendicular to AC, CD perpendicular to AB and BE and…
  65. Q65.The LCM of two numbers x & y is 204 times their HCF. If their HCF is 12 and…
  66. Q66.The value of (1 + cotθ - cosecθ) (1 + cosθ + sinθ) secθ?
  67. Q67.The given pie-chart shows the break up of total marks obtained by a student in…
  68. Q68.The value of [Image] is?
  69. Q69.The given graph shows the weights of students in a school on a particular day…
  70. Q70.35% of the goods are sold at a profit of 65%, while the remaining were sold at…
  71. Q71.If x + y + z = 6, xyz = -10 and x²+ y²+ z²= 30 , then what is the value of x³+…
  72. Q72.Two numbers are in the ratio 3 : 5. If 13 is subtracted from each, the new…
  73. Q73.If sec θ + tan θ = p , (p > 1), then _([Image]) =?
  74. Q74.In triangle ABC, D and E are the points on AB and AC respectively such that AD…
  75. Q75.The bisector of ∠A in ABC meets BC in D. If AB = 15 cm, AC = 13 cm & BC = 14…
  76. Q76.A sector of radius 10.5cm with the central angle 120° is folded to form a cone…
  77. Q77.In quadrilateral ABCD, ∠C = 72°, ∠D = 28°. The bisectors of ∠A and ∠B meet in…
  78. Q78.S is the incentre of ΔPQR, If ∠PSR = 125°, then the measure of ∠PQR is:
  79. Q79.Study the following graph and answer the question given: [Image] The total…
  80. Q80.In ΔABD, C is the midpoint of BD. If AB = 10cm, AD = 12cm & AC = 9cm, then BD…
  81. Q81.A certain loan was returned in two equal half-yearly instalments each of Rs…
  82. Q82.The value of _([Image])is?
  83. Q83.Two positive numbers differ by 2001. When the larger number is divided by the…
  84. Q84.A solid cylinder of base radius 12 cm and height 15 cm is melted and recast…
  85. Q85.If 5√5 x³ + 2√2y³ = (Ax + √2y) (Bx² + 2y² + Cxy), then the value of (A² + B²…
  86. Q86.The value of [(Sinθ - Cosθ)(1 + tanθ + cotθ)]/[1 + sinθcosθ] is __.
  87. Q87.What is the remainder when (127⁹⁷ + 97⁹⁷) is divided by 32?
  88. Q88.The radius of the base of a right circular cylinder is intersected by 20%. By…
  89. Q89.A person covers 40% of the distance from A to B at 8 km/hr. 40% of the…
  90. Q90.Given that: (5x − 3)³+ (2x + 5)³+ 27(4 - 3x)³= 9(3 - 5x)(2x + 5)(4 - 3x), then…
  91. Q91.To cover a distance of 416km, A train takes [Image] hrs more than train B. If…
  92. Q92.In Δ PQR, ∠Q > ∠R, PS is the bisector of ∠P and PT is perpendicular to PQ. If…
  93. Q93.N solid metallic spherical balls are melted and recast into a cylindrical rod…
  94. Q94.The graph of the equation 5x - 2y + 1 = 0 and 4y - 3x + 5 = 0, intersect at…
  95. Q95.A man can row a distance of 900 metres against the stream in 12 minutes and…
  96. Q96.A student was asked to find the value of [Image] . His answer was [Image]…
  97. Q97.A vessel contains 32-litre solutions of acid and water in which the ratio of…
  98. Q98.A certain sum amounts to Rs. 4205.55 at 15% p.a. in [Image] years (interest…
  99. Q99.How many kgs of salt costing Rs. 28/kg must be mixed with 39.6 kg of salt…
  100. Q100.If a 10-digit number 5432Y1749X is divisible by 72, then what is the value of…