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SSC CGL Tier II Quant - 30/11/2016

Tier 2 • 30 November 2016 • 100 questions

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Question 1 / 100

What is the ratio of the average number of sale of English newspapers in localities B and D together to the average sale of Hindi newspapers in all the localities ?

Show answer & explanation

Correct answer: B

Explanation

The correct answer is option 2

Average no. of sale of English newspaper in localities B and D together = (9000+7000)/2 = 16000/2 = 8000 .....(1)

Total sale of Hindi newspaper in all localities = 33000

Average sales of Hindi newspaper in all localities = 33000/5 = 6600 .....(2)

Dividing 1 and 2

 = 8000/6600 = 40 : 33

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All 100 questions in this paper
  1. Q1.What is the ratio of the average number of sale of English newspapers in…
  2. Q2.What is the ratio of average number of English newspapers from the localities…
  3. Q3.What is the approximate sum of the ratios of sales of English and Hindi…
  4. Q4.What is the average of difference of sales of Hindi and English newspapers in…
  5. Q5.What is the difference between the total sale of English newspapers and the…
  6. Q6.The angle of elevation of the top of an unfinished pillar at a point 150…
  7. Q7.The angle of elevation of the top of a tower, vertically erected in the middle…
  8. Q8.If the angle of elevation of the sun decreases from 45° to 30°, then the…
  9. Q9.An aeroplane flying horizontally at a height of 3 Km. above the ground is…
  10. Q10.The value of 8(sin⁶θ + cos⁶θ) - 12(sin⁴θ + cos⁴θ) is equal to:
  11. Q11.If tan⁴θ + tan²θ = 1 then the value of cos⁴θ + cos²θ is?
  12. Q12.(1 + sec 20° + cot 70°)(1 - cosec 20° + tan70°) is equal to:
  13. Q13.If a²sec²x - b²tan²x = c² then, find the the value of sec²x + tan²x. (b²≠ a²) :
  14. Q14.x and y be two acute angles, x + y < 90° and sin(2x - 20°) = cos(2y + 20°)…
  15. Q15.If x tan 60° + cos 45° = sec 45° then the value of x² + 1 is?
  16. Q16.Two chords AB and CD of a circle with centre O intersect at P. If ∠APC = 40°…
  17. Q17.In a circle with centre O, AB is a diameter and CD is a chord which is equal…
  18. Q18.An equilateral triangle of side 6 cm is inscribed in a circle. Then radius of…
  19. Q19.ΔABC is isosceles having AB = AC and ∠A = 40°. Bisectors PO and OQ of the…
  20. Q20.If the parallel sides of a trapezium are 8 cm and 4 cm, M and N are the mid…
  21. Q21.ABC is a triangle, PQ is line segment intersecting AB at P and AC at Q and PQ…
  22. Q22.In a circle, a diameter AB and a chord PQ (which is not a diameter) intersect…
  23. Q23.In ΔABC, AC = BC and ∠ABC = 50°, the side BC is produced to D so that BC = CD…
  24. Q24.PQ is a tangent to the circle at point T. If TR = TS where R and S are points…
  25. Q25.In an equilateral triangle ABC, G is the centroid. Each side of the triangle…
  26. Q26.If 2r = h + √(r²+ h²) then the ratio r : h (r ≠ 0) is:
  27. Q27.If x = 1 + √2 + √3 , then find the value of 2x⁴ - 8x^(3 _) 8x² + 32x.
  28. Q28.If x + 1/x = √3 the value of x¹⁸ + x¹² + x⁶ + 1 is
  29. Q29.If a = 299, b = 298, c = 297 then the value of 2a³ + 2b³ + 2c³ - 6abc is:
  30. Q30.If x² + y² + 6x + 5 = 4(x - y) then x - y is:
  31. Q31.If a + b = 1, then a⁴+ b⁴ - a³ - b³ - 2a²b² + ab is equal to:
  32. Q32.A complete factorisation of x⁴ + 64 is:
  33. Q33.If the sum of squares of two real numbers is 41 and their sum is 9. Then the…
  34. Q34.If x + 1/x = c + 1/c then the value of x?
  35. Q35.If P = 99, then the value of P(P² + 3P + 3) is?
  36. Q36.The whole surface area of a pyramid whose base is a regular polygon is 340 cm²…
  37. Q37.A cylinder is partially filled with water. Two iron spherical balls are…
  38. Q38.In an isosceles triangle, the length of each equal side is twice the length of…
  39. Q39.Two regular polygons are such that the ratio between their number of sides is…
  40. Q40.If a cone is divided into two parts by drawing a plane through the midpoints…
  41. Q41.A piece of wire 132 cm long is bent successively in the shape of an…
  42. Q42.The ratio between the area of a square and that of a circle, when the length…
  43. Q43.The length and breadth of a rectangular piece of a land are in a ratio 5:3…
  44. Q44.The external and the internal radii of a hollow cylinder of height 15 cm are…
  45. Q45.The base of a prism is a trapezium whose the length of parallel sides are 25…
  46. Q46.The four walls and ceiling of a room of length 25 m, breadth 12 m and height…
  47. Q47.The sides of a triangle are in the ratio 1/2 : 1/3 : 1/4 and its perimeter is…
  48. Q48.A solid sphere and a solid hemisphere have the same total surface area. The…
  49. Q49.If the sum of radius and height of a solid cylinder is 20 cm and its total…
  50. Q50.The height of an equilateral triangle is 18 cm. Its area is:
  51. Q51.A sum of money is invested at 20% compound interest (compounded annually). It…
  52. Q52.If the difference of the compound interest and the simple interest on a sum of…
  53. Q53.A sum of Rs. 4000 is lent out in two parts, one at 8% simple interest and the…
  54. Q54.The compound interest on Rs. 4000 for 4 years at 10% per annum will be?
  55. Q55.Three runners A,B and C run a race, with runner A finishing 12 meters ahead of…
  56. Q56.Due to inclement weather, an air plane reduced its speed by 300 Km/ hr, and…
  57. Q57.A man can cover a certain distance in 3 hours 36 minutes if he walks at the…
  58. Q58.A bus travels 150 Km in 3 hours and then travel next 2 hours at 60 Km/hr. Then…
  59. Q59.An army lost 10% of its men in war, 10% of the remaining died due to disease…
  60. Q60.A scored 72% in a paper with a maximum marks of 900 and 80% in another paper…
  61. Q61.A Village lost 12% of its goats in a flood and 5% of remainder died from…
  62. Q62.A Number is increased by 20%. To get back to the orignal number, the increased…
  63. Q63.A man buys 3 type-I cakes and 6 type-II cakes for Rs. 900. He sells type-I…
  64. Q64.A sells a watch to B and makes a loss of 12%. B makes a profit of 25/2% by…
  65. Q65.A shopkeeper purchased 510 eggs at the rate of Rs 20/dozen. 30 eggs were…
  66. Q66.Ramesh sold a book at a loss of 30%. If he had sold it for Rs. 140 more, he…
  67. Q67.A,B and C together start a business. Three times the investment of A equals…
  68. Q68.By what fraction selling price (S.P.) must be multiplied to get the cost price…
  69. Q69.An army of 12000 consists of Europians and Indians. The average height Of…
  70. Q70.The average (arithmetic mean) amount of savings of ten students is Rs. 600…
  71. Q71.In the first 10 overs of a cricket game, the run rate was only 3.2. The run…
  72. Q72.A car travels from A to B with 40 km/h and returns from B to A with 60 km/h…
  73. Q73.A and B have their annual average income Rs. 80,000.B and C have their annual…
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  75. Q75.In two types of brass, the ratios of Copper to Zinc are 8 : 3 and 15 : 7…
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  77. Q77.Two bottles contain acid and water in the ratio 2 : 3 and 1 : 2 respectively…
  78. Q78.If the three numbers in the ratio 3:2:5 be such that the sum of the squares is…
  79. Q79.The ratio of number of boys to the number of girls in a school of 432 pupils…
  80. Q80.Find the fraction which bears the same ratio to 1/27 that 3/7 does to 5/9 .
  81. Q81.The marked price of an article is Rs. 5000. But due to special festival offer…
  82. Q82.A shopkeeper increases the price of an object by 40% and then sells it at 25%…
  83. Q83.A dealer is selling an article at a discount of 5% on the Marked price. If the…
  84. Q84.A bookseller allowed a 10% discount on printed prices. He gets a 30%…
  85. Q85.The ratio of the amount of work done by (x-1) labours in (x+1) days and that…
  86. Q86.A can do a piece of work in 10 days and B can do it in 12 days. They work…
  87. Q87.A can do as much work in 4 days as B can do in 5 days, and B can do as much…
  88. Q88.Ramesh and Rahman can do a work in 20 and 25 days respectively. After doing…
  89. Q89.A and B can do a piece of work in 18 days, B and C in 24 days, A and C in 36…
  90. Q90.A canal of a village can be cleaned by 24 villagers in 12 days. The number of…
  91. Q91.Simplify: ?-2197 × ?-125 ÷ ?(27/512)
  92. Q92.Three numbers are in Arithmetic Progression (AP) whose sum is 30 and the…
  93. Q93.The sum of three numbers is 2, the 1st number is 1/2 times the 2nd number and…
  94. Q94.The sum of squares of three positive integers is 323. If the sum of squares of…
  95. Q95.The sum of three numbers is 252. If the first number is thrice the second and…
  96. Q96.On dividing a certain number by 342 we get 47 as remainder. If the same number…
  97. Q97.When a number x is divided by a divisor it is seen that the divisor = 4 times…
  98. Q98.A number when divided by the sum of 555 and 445 gives two times their…
  99. Q99.The numerator of a fraction is multiple of two numbers. One of the numbers is…
  100. Q100.Each member of a club contributes as much rupees and as much paise as the…