Quantitative Aptitude PYQ — Page 101

24,303 questions across SSC exams.

  1. SSC GD • 2026

    The Highest Common Factor of two numbers is 7 and their Least Common Multiple is 252. The ratio of the numbers is 9 : 4. What is the sum of the two numbers?

  2. SSC GD • 2026

    The Least Common Multiple of two numbers is 150. Which of the following can be the Highest Common Factor of the two numbers?

  3. SSC GD • 2023

    The curved surface area of a sphere is 1386 cm² . The volume of this sphere is:

  4. SSC GD • 2024

    Amit is thrice as good a workman as Vinit and therefore is able to finish a work in 32 days less than Vinit. In how many days can the together complete the same work?

  5. SSC GD • 2024

    From point P, X walks at a speed of 12 km/hr and 6 hours after his start. Y also starts walking from same point P on his cycle after him at the speed of 16 km/hr. How far from the starting point P will Y catch X?

  6. SSC GD • 2023

    Successive discounts of 10%, 15% and 20% amount to a single discount of:

  7. SSC GD • 2025

    Evaluate: 16 + 8 ÷ 4 - 2 × 3

  8. SSC GD • 2025

    Evaluate: (-9) - (-60) ÷ (-15) + (-3) × 7

  9. SSC GD • 2025

    The cost price of a laptop is ₹78,200. If the loss percentage is 44%, then what is the selling price (in ₹) of the laptop?

  10. SSC Selection Post • 2025

    PQ is the diameter of a circle. Two points M and N lie on opposite sides of the diameter PQ such that ∠PMN = 30°. R is a point on the minor arc QN. Find the measure of ∠QRN (in degrees).

  11. SSC GD • 2023

    If the diameter of the base and the height of a cylinder are 16cm and 20 cm, respectively, then what is the total surface area of the cylinder? (Use π = 22/7)

  12. SSC GD • 2023

    What is the least value of 'a' for which the number 638a435 is completely divisible by 3?

  13. SSC GD • 2023

    A toy car costs Rs. 1800. Its price is reduced to Rs. 1500 in the sale. By what percentage was the price reduced?

  14. SSC GD • 2024

    If the cost price of 6 pens is the same as the selling price of 5 pens, find the profit/loss percentage.

  15. SSC GD • 2026

    Least Common Multiple of A and B is 18. Least Common Multiple of C and D is 24. What is the Least Common Multiple of A, B, C and D?

  16. SSC GD • 2026

    Average age of a group of 16 boys is 20 years. Two boys with ages 18 years and 19 years left the group. One boy with age 32 years joined the group. What is the new average age (in years) of the group?

  17. SSC GD • 2024

    4 bells ring at intervals of 6, 8, 9, and 10 seconds. All the bells ring at the same time. After how many minutes will they ring together again?

  18. SSC GD • 2025

    The perimeter of a rectangle is 26 cm and its length is 7 cm. Find its area in cm^(2.).

  19. SSC GD • 2023

    The halves of the diagonals of a rhombus are 75 cm and 90 cm. Find its area.

  20. SSC GD • 2024

    What is the value of 7.14 percent of 66.67 percent of 21.84?

  21. SSC GD • 2023

    Aarav and Durga together can do a piece of work in 33 days. They worked together for 15 days and then Aarav left the work and Durga alone finished the remaining work in 30 days. Find the number of days in which Aarav alone can do the total work.

  22. SSC Selection Post • 2025

    Ravi drives from A to B at 60 km/h and returns at 40 km/h. If the total time taken is 5 hours, what is the distance between A and B?

  23. SSC GD • 2025

    If 4% of x = 36, then x is equal to:

  24. SSC GD • 2023

    At what rate of compound interest does a sum of money become 3.375-fold in 3 years, compounding annually?

  25. SSC GD • 2023

    A, B, and C can do a piece of work in 8, 4, and 16 days respectively. How many days will A take to complete the entire work if A is assisted by B and C both on every second day?

  26. SSC GD • 2023

    The ratio between the fourth proportional of 7, 5, and 3 to the third proportional of 7 and 13 is:

  27. SSC GD • 2023

    The mean proportional between 4+2√(3) and 6-3√(3) is :

  28. SSC Selection Post • 2025

    POR is the diameter of a circle. PQ and RQ are two of its chords. The length of arc PQ is half the length of arc RQ. Find the measure of ∠POQ.

  29. SSC GD • 2023

    The average of six consecutive odd numbers is 68. What is the cube of the difference between the highest and the lowest numbers?

  30. SSC Selection Post • 2025

    If the volume of a cone is 48π cm³ and its height is 10 cm, find the radius of its base to the nearest decimal place.

  31. SSC Selection Post • 2025

    A sector having a radius of 9 cm and has a central angle of 60°. What is the area of the sector?

  32. SSC Selection Post • 2025

    An ice cream cone is shaped like a cone having radius of 3.5 cm and a height of 12 cm. How much ice cream (in cm³) can it hold?

  33. SSC GD • 2023

    A store announces the following three schemes to sell its articles: Which of these gives the maximum discount to the buyer? A. Two successive discounts of 20% and 24% B. Buy 5 get 3 free C. Buy 13 get 7 free

  34. SSC CGL • 2018

    Mohit is standing at some distance from a 60 meters tall building. Mohit is 1.8 meters tall. When Mohit walks towards the building, then the angle of elevation from his head becomes 60° from 45°. How much distance (in metres) Mohit covered towards the…

  35. SSC GD • 2024

    Two trains are coming in opposite directions at the same speed. If the length of each train is 320 meters and they cross each other in 18 seconds, then what is the speed of each train?

  36. SSC GD • 2026

    What is the Least Common Multiple of 4/7, 8/14 and 12/21?

  37. SSC GD • 2023

    Robin travels one-fourth of the distance at 20 km/h, another one-fourth at 10 km/h, and the remaining distance at 80 km/h. Find Robin's average speed for the entire distance (correct to 2 decimal places).

  38. SSC Selection Post • 2025

    A solid cone is melted and recast into smaller cones of the same height but half the radius. How many smaller cones can be made?

  39. SSC GD • 2023

    If the price of potatoes increases by 10 percent, then by how much percent does a user have to cut down on his consumption of potatoes so that the expenditure on potatoes remains unchanged?

  40. SSC GD • 2023

    Successive discounts of 10%,15% and 20% amount to a single discount of:

  41. SSC GD • 2023

    Find the total surface area of a cylinder whose height is 8.5 mm and the base diameter is 10 mm.

  42. SSC GD • 2024

    Raman and Raju undertook a work for Rs. 5500. Raman alone can do that work in 5 days and Raju alone can do the same work in 6 days. If they work together, then what will be the difference in the amount they receive?

  43. SSC CGL • 2018

    What is the value of [sin (y – z) + sin (y + z) + 2 sin y]/[sin (x – z) + sin (x + z) + 2 sin x]?

  44. SSC GD • 2023

    The incomes of Teena and Sheena are in the ratio of 2 : 3 and their expenditures are in the ratio of 3 : 5. If each saves Rs 1,000, then Teena’s income is:

  45. SSC GD • 2025

    The price of fuel decreases by 40%, 50% and 15% in three successive months, but increases by 40% in the fourth month. What is the percentage increase/decrease in the price of fuel in the fourth month as compared to its original price?

  46. SSC CGL • 2018

    What is the value of [1 – tan (90° – θ) + sec (90° – θ)]/[tan (90° – θ) + sec (90° – θ) + 1]?

  47. SSC GD • 2023

    The total surface area of a hemisphere is 4158 cm². The radius of the hemisphere is: (use ^π= 22/7 )

  48. SSC GD • 2026

    The product of Highest Common Factor and Least Common Multiple of 2 numbers is 6930. One of the numbers is 154. What is the other number?

  49. SSC GD • 2023

    The greatest number, by which when the numbers 1658 and 2038 are divided, the remainder are 7 and 6, respectively, is:

  50. SSC Selection Post • 2025

    If x + y = 7 and xy = 10, then the value of x² + y² is: