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Quantitative Aptitude questions with answers, page 2

1,784 solved Quantitative Aptitude MCQs from SSC, RRB, banking and police exams. Open any question to try it and read the explanation. Want a timed test instead? Free Quantitative Aptitude practice sets.

  1. PYQCompound interest on ₹8,000 for 1 year 6 months at 20% p.a., compounded half-yearly.
  2. PYQA man deposits ₹1,50,000 at 10% CI p.a. He withdraws 50% of the first year's interest. What is his balance at the end of the second year?
  3. PYQThe ratio of two numbers is 3:4 and their LCM is 120. What is the sum of the numbers?
  4. PYQAverage age of 20 students is 18. A group of 5 new students joins, raising the average to 20. Find the average age of the new students.
  5. PYQRavi goes to school at 5 km/h and returns at 3 km/h. Total time is 2 hours. Find the distance between home and school.
  6. PYQA shopkeeper offers 15% discount on clothes for buying more than 2 items. Priya buys 4 shirts for ₹2040 at 20% profit. Find the profit if sold at…
  7. PYQAt simple interest, a sum doubles in five years. What is the interest rate?
  8. PYQA solid cylinder is melted and recast into a cone of the same base radius. If the cylinder's height is h, what is the cone's height?
  9. PYQA container holds 50 liters of milk. 5 liters are removed and replaced with water, twice in succession. How much pure milk remains?
  10. PYQA hemisphere's volume (numerically) equals its total surface area. What is its radius?
  11. PYQIn △ABC, A(1,1), B(5,5), C(1,9). Find the centroid.
  12. PYQSolve: x/(x+1) + 1/x = 3.
  13. PYQTwo similar triangles have side ratio 3:5. If the smaller triangle's altitude is 6cm, find the larger triangle's corresponding altitude.
  14. PYQSolve: 16^(3/2) + 16^(-3/2) = ?
  15. PYQA,B,C invested Rs.75,000, Rs.1,00,000, Rs.1,50,000. After 1 year, B withdrew Rs.20,000. Total profit after 3 years is Rs.4,50,000. Find C's share.
  16. PYQThree groups with average marks 50, 60, 70 have 20, 30, 50 students respectively. Find the combined average.
  17. PYQA man travels Gurugram to Jaipur (240km) at 60km/h, rests 1 hour, then Jaipur to Ajmer (130km) at 50km/h. Find his average speed for the whole…
  18. PYQA 75L mixture has milk:water=2:1. How much water should be added to make the ratio 1:2?
  19. PYQA hemispherical tank of inner radius 3m is filled at 1800π liters/min. How long to fill? (1m³=1000L)
  20. PYQA fraction's denominator is 5 more than its numerator. Adding 3 to both gives 2/3. Find the original fraction.
  21. PYQIf b − 1/b = 3, find b⁶ + 1/b⁶.
  22. PYQA man walks up a moving-up escalator in 30s, and down the same escalator in 90s. How long to walk up when it's not moving?
  23. PYQP,Q,R start a business. P (working partner) gets 2,000 monthly salary; remaining profit split by investment ratio (P:Q:R invested 50k:60k:70k =…
  24. PYQIf cosA=5/13 and sinB=12/13, find sinA cosB + cosA sinB.
  25. PYQCI amounts at end of 2nd and 3rd years are ₹4232 and ₹4655.20. Find the rate of interest.
  26. PYQSum of three numbers is 180. First:second=3:5, second:third=4:7. Find the second number.
  27. PYQ4 boys and 3 girls (7 students) spend an average of ₹120 each. Boys' average is ₹150. Find girls' average.
  28. PYQA can do a job in 12 days, B in 24 days. They work together 4 days, then A leaves. How many more days for B to finish?
  29. PYQ25,000 split into Account A (4% SI) and Account B (6.5% SI). After 3 years, total interest is 3,975. Find the amount in Account A.
  30. PYQA circle is inscribed in a square of side 14cm. Find the circle's area.
  31. PYQA sphere is melted into a cylinder with radius twice the sphere's radius. If cylinder height is h and sphere radius is r, find h:r.
  32. PYQA man walks up a moving-up escalator in 30s and down the same escalator in 90s. How long to walk up when it's stationary?
  33. PYQA person sells 12 pens for ₹480 and suffers a loss equal to the SP of 3 pens. Find the CP of one pen.
  34. PYQA,B,C invested ₹1,20,000, ₹80,000, ₹1,00,000. After 6 months, A added ₹20,000, C withdrew ₹10,000. Total profit after 2 years is ₹3,60,000. Find A's…
  35. PYQIf tanθ=5/12 and θ is in Quadrant III, find sinθ.
  36. PYQIf m:n=5:11 and n:p=2:5, find m:n:p.
  37. PYQCI amounts at end of 2nd and 3rd years are ₹9,680 and ₹10,648. Find the principal.
  38. PYQAverage of 11 numbers is 50. First six average 49, last six average 52. Find the middle (6th) number.
  39. PYQThe largest 4-digit number which leaves remainder 3 when divided by 4, 7, or 13.
  40. PYQIf a notebook's price decreases 25%, a man can buy 5 more notebooks for ₹200. Find the new price.
  41. PYQA can do a work in 18 days, B in 27 days. Together for 6 days, then A leaves. How many more days for B?
  42. PYQ₹y amounts to ₹10,920 at 6% p.a. in the same time ₹12,000 amounts to ₹15,000 at 5% p.a. (both SI). Find y.
  43. PYQA 70L milk-water mixture has 10% water. How much pure water should be added to make water 25%?
  44. PYQA hemispherical iron bowl has thickness 0.5cm and inner radius 3cm. Find the volume of iron used.
  45. PYQIf cosθ=3/5 and θ is in Quadrant IV, find tanθ.
  46. PYQIf a:b=3:7 and b:c=5:9, find a:b:c.
  47. PYQThe largest 3-digit number which leaves remainder 2 when divided by 3, 5, or 8.
  48. PYQIf the price of sugar falls by 20%, a person can buy 4 kg more for ₹320. Find the reduced price per kg.
  49. PYQA can complete a work in 20 days, B in 30 days. They work together for 5 days, then A leaves. How many more days for B?
  50. PYQFind the integer part of x = 1/(√101−√100).
  51. PYQA cone is inscribed in a hemisphere of radius r, sharing the same base and apex at the center of the flat face's opposite point. Find the ratio of…
  52. PYQA 60L milk-water mixture has 20% water. How much pure milk should be added to make water 15%?
  53. PYQA hollow cylindrical pipe has external radius 5cm, internal radius 4cm, length 21cm. Find the volume of material used. (π=22/7)
  54. PYQTriangle vertices A(0,0), B(6,0), C(0,8). Find the length of the median from A to BC.
  55. PYQ₹9,520 is divided among X, Y, and Z in the ratio . What is the share of Y? ![EN](/images/pyq/rrb-ntpc/RRB_NTPC_PYQ_14June_Shift1/images/en_14Jun_S1_p…
  56. PYQAt a health club, 40% of the members are women and 60% of the members are men. If the average age of the men is 51 years and the average age of the…
  57. PYQA bus covers 150 km at 60 km/hr, 120 km at 80 km/hr, and 180 km at 90 km/hr without any stops. What is the average speed of the bus for the entire…
  58. PYQTwo trains are moving in opposite directions at speeds of 36 km/h and 54 km/h. If their lengths are 100 m and 150 m, respectively, how much time…
  59. PYQThe average of 6.5, 10.8, 19.9 and a is 18. The value of a is: 5094
  60. PYQThe price of sugar is increased by 3%. How much percent the consumption of sugar must be reduced so as not to increase the expenditure on sugar?…
  61. PYQAfter successive discounts of 15% and 10%, a customer pays ₹3,672. What was the marked price?
  62. PYQA person sold an article at a loss of 10%. Had he sold it for ₹60 more, he would have gained 5%. Find the cost price of the article.
  63. PYQWhat is the smallest number that must be added to 45873 so that the sum is divisible by 11?
  64. PYQA and B can do a piece of work in 12 days and 18 days, respectively. Both work for 2 days and then A leaves. How long (in days) will B take to…
  65. PYQA sum of ₹10,000 is invested at a compound interest rate of 10% per annum for 2 years, compounded annually. What is the compound interest earned?
  66. PYQMeena and her mother visit a shop. The shopkeeper tells them that the price of 5 identical dresses is ₹4,955. Meena buys 9 such dresses. Find the…
  67. PYQThe sides of a rectangular field are 55 m and 70 m long. Its area is equal to the area of a circular field. What is the perimeter (in m) of the…
  68. PYQEvaluate 223 + (-18)3 + (-4)3
  69. PYQA train overtakes two runners moving in the same direction at speeds of 5 km/h and 7 km/h, passing them completely in 18 seconds and 20 seconds…
  70. PYQThe marked price of an article is ₹500. During a sale, its price is reduced to ₹450. What is the percentage decrease in price?
  71. PYQA shopkeeper marks the price of sugar 24% above the cost price and gives a discount of 18%, but uses a weight of 800 grams instead of 1 kg. Find his…
  72. PYQNitin sells two articles for ₹2,973 each with no profit, no loss in the entire transaction. If one article was sold at a gain of 50%, then the other…
  73. PYQX, Y, and Z enter into a partnership. X invests ₹60,000 for 12 months, Y invests ₹80,000 for 6 months, and Z invests ₹1,20,000 for 4 months. If the…
  74. PYQA shirt originally costing ₹800 is first decreased by 30% and then increased by 15%. What is its new price?
  75. PYQAn article marked at ₹1,250 is sold at two successive discounts such that the selling price becomes ₹900. If the first discount is 20%, what is the…
  76. PYQA cylindrical tank has a diameter of 12 m and a height of 10 m. If the tank is closed at both ends, what is the ratio of its curved surface area to…
  77. PYQFind the mean of the following data. Class interval0-88-1616-2424-3232-4040-48 Frequency 4 6 7 3 12 8
  78. PYQThe largest four-digit number which when divided by 10, 11 and 8 leaves remainder 7 in each case is:
  79. PYQThe measure of an interior angle of a regular polygon is 162°. Find the number of sides of the polygon.
  80. PYQThe mean proportional between 12 and a number is twice the mean proportional between 9 and 16. Find the number.
  81. PYQA shopkeeper sells two types of pens, A and B. The total number of pens sold in a day is 120. The price of pen A is ₹12 each and pen B is ₹8 each…
  82. PYQTwo banks, A and B, offered loans at 3.5% and 6.5% per annum, respectively. Ajay borrowed an amount of ₹2,60,000 from each bank. Find the positive…
  83. PYQTwo friends, P and Q, started a business by investing ₹2,300 and ₹4,600, respectively. At the end of one year, the business earned a total profit of…
  84. PYQThe sides of a rectangular field are 77 m and 98 m long. Its area is equal to the area of a circular field. What is the perimeter (in m) of the…
  85. PYQA car travels from Gwalior to Jhansi at 60 km/hr and returns at 80 km/hr. If the total travel time is 3.5 hours, what is the one-way distance?
  86. PYQA certain sum amounts to ₹5,200 in 2 years and ₹6,400 in 4 years at simple interest. What is the rate of interest per annum?
  87. PYQThe sum of the ages of two siblings is 28 years and the difference of their ages is 8 years. What is the present age of the elder sibling?
  88. PYQA and B can do a piece of work in 12 days and 24 days, respectively. Both work for 2 days and then A leaves. How long (in days) will B take to…
  89. PYQThe sum of two positive numbers is 40 and their product is 175. The positive difference between them is:
  90. PYQAt what annual interest rate will a principal amount of ₹1,000 become ₹1,728 in a period of 1 year and 6 months, assuming that the interest is…
  91. PYQThe largest four-digit number which when divided by 12, 8 and 11 leaves the remainder 3 in each case, is:
  92. PYQTwo trains are moving in opposite directions at speeds of 8 m/s and 10 m/s. If they completely pass each other in 8 seconds, find the combined…
  93. PYQIn a triangle, the ratio of three angles is 3 : 3 : 4. Find the measure of the largest angle.
  94. PYQA team of 3 workers, P, Q, and R, is assigned to paint a large wall. P alone can finish the work in 14 days, Q alone in 21 days, and R alone in 42…
  95. PYQA shopkeeper fixes the marked price of an item 150% above its cost price. What percentage of discount on marked price should be allowed to gain 110%?
  96. PYQThe average of 6.5, 10.8, 20 and a is 13. The value of a is: 5091
  97. PYQIf 45% of a number exceeds 20% of it by 30, then the number is:
  98. PYQA product with marked price ₹3,000 is sold with successive discounts of 15% and 25%. What is the final selling price after these two discounts?
  99. PYQTwo articles are sold at the same selling price. On one article, the trader makes a 25% profit, and on the other, he incurs a 25% loss. What is the…
  100. PYQThe sum of two numbers is 54. If three times the smaller number exceeds twice the larger number by 6, find the difference between the two numbers.