Quantitative Aptitude PYQ — Page 178

24,303 questions across SSC exams.

  1. SSC CHSL • 2025

    Average of 20 results is 35. Later, it was found one score 45 was misread as 25. What is the correct average?

  2. SSC Selection Post • 2024

    If cos 2θ = 0, where θ is an acute angle, then find the value of sin (75° - θ).

  3. SSC GD • 2023

    If a natural number when divided by 4, 5, 7, and 6 leaves a remainder of 3 in each case, then what is the smallest possible three-digit natural number?

  4. SSC CGL • 2025

    A right triangle has sides 6, 8, and 10. A smaller triangle is drawn inside it with its vertices on the sides of the larger triangle, such that it is similar to the larger triangle. If the smaller triangle has a perimeter of 12, what is its area?

  5. SSC MTS • 2019

    A train, 700 m long crosses a pole in 35 seconds. How much time does it take to cross a platform of length 740 m?

  6. SSC Selection Post • 2022

    Study the given pie chart and answer the question that follows. The pie chart shows the percentage-wise distribution of teachers who teach six different subjects. Total number of teachers = 1600 [Image] If three-eighths of the teachers who teach Chemistry…

  7. SSC MTS • 2022

    A certain sum of money amounts to 3 times of itself in 13 years when interest is compounded annually at a certain rate of interest per annum. In how many years will the initial sum amount to 9 times of itself at the same rate of interest per annum, also…

  8. SSC CHSL • 2025

    If the lateral surface area of a right circular cylinder is equal to twice the area of its base, find the height in terms of the radius.

  9. SSC GD • 2025

    Evaluate: (-9) - (-60) ÷ (-12) + (-4) × 7

  10. SSC CGL • 2023

    Let A, B, C be the mid-points of sides PQ, QR PR, respectively, of △ PQR, If the area of △ PQR is 32 cm², then find the area of △ ABC.

  11. SSC CGL • 2025

    A square field of side 30 m has a circular pond in the center. If the area of the pond is 706 m², what is the area of the remaining field?

  12. SSC CGL • 2025

    A circular bread has radius 14 cm. If 40% is eaten, what is the remaining area? (Use π = 22/7)

  13. SSC CHSL • 2023

    Shyam purchased a packet of 16 pens and got 4 pens free with it. He marked the price 20% more than the CP. If he did not allow any discount and sold all the 20 pens at this price, then what was his profit percentage?

  14. SSC CHSL • 2021

    A sum of Rs. 11,236 is divided among A, B and C such that the ratio of the shares of A and B is 3 : 5 and the ratio of the shares of A and C is 4 : 7. The share of B is:

  15. SSC CHSL • 2024

    What is the area of ​​the region formed by the two linear equations 2x + y = 6 and 2x – y = –2 and bounded by these lines and the x-axis?

  16. SSC Selection Post • 2023

    A sum becomes triple in 9 years. Find the annual rate of simple interest.

  17. SSC CHSL • 2022

    What is the radius of a sphere having a volume of 4851cm³? (Use π = 22/7)

  18. SSC MTS • 2022

    A and B together can do a piece of work in 24 days. A alone can do this work in 40 days. In how many days can B alone do this work?

  19. SSC CGL • 2024

    Varun and Sandeep started for a car race from the same point, in the same direction and at the same time on a circular track of length 1635 m with the speeds of 90 km/h and 108 km/h, respectively. After how much time (in s) will they meet again for the first…

  20. SSC CHSL • 2025

    12 books, each of Rs. 360, are sold at Rs. 3600. What is the percentage of the discount given?

  21. SSC GD • 2026

    Two trains are running in opposite direction with the same speed. Length of each train is 304 metres. They cross each other in 16 seconds. What is the speed (in m/s) of each train?

  22. SSC GD • 2023

    A, B and C run on a circular track. The time taken by A, B and C to complete one round is 6 minutes, 8 minutes, and 3 minutes, respectively. If they start together at 5 p.m., then at what time will they meet again at the starting point?

  23. SSC CGL • 2019

    If x + y + z = 19, xy + yz + zx = 114, then the value of √(x³ + y³ + z³ – 3xyz) is:

  24. SSC CGL • 2025

    The radii of two circles are 6 cm and 2 cm. The centers of the two circles are 10 cm apart. What is the length of a transverse common tangent?

  25. SSC CGL • 2025

    Simplify: √(3)(√(12) - √(27))

  26. SSC CGL • 2025

    What type of number is the result of multiplying a Rational Number with an Irrational Number?

  27. SSC CGL • 2023

    A and B invested money in a business in the ratio of 7 : 5. If 15% of the total profit goes for charity, and A's share in the profit is Rs.5,950, then what is the total profit?

  28. SSC GD • 2026

    If p-q : q-r : r-s = 3 : 4 : 7, then what is the value of (p+s) : r?

  29. SSC CHSL • 2023

    4 men and 8 women complete a job in 10 days, and 5 men and 24 women complete the same work in 4 days. In how many days will 1 men and 1 women complete the same work.

  30. SSC GD • 2026

    A and B undertook a work for Rs. 4200. A alone can do that work in 21 days. B alone can do the same work in 28 days. They started and completed the work together. What will be the difference in the amounts (in Rs.) they will receive?

  31. SSC CHSL • 2025

    If the selling price of 15 items is equal to the cost price of 20 items, what is the percentage profit or loss?

  32. SSC GD • 2025

    Which of the following numbers must be added to each of the numbers 9, 16, 13 and 23 so that the resulting numbers are in proportion?

  33. SSC Selection Post • 2024

    A borrows ₹20,000 from B and C. B lends him a certain sum of money at 25% simple interest per annum, while C lends him the remaining sum of money at 21% simple interest per annum. The total interest paid by A in one year is ₹4,500. The sum (in ₹) borrowed…

  34. SSC CHSL • 2022

    The volume of a cube is 5832 cm³ . Find its total surface area.

  35. SSC CGL • 2020

    If x + y + z = 3, and x² + y² + z² = 101, then what is the value of √(x³ + y³ + z³ - 3xyz) ?

  36. SSC Selection Post • 2022

    60% of diameter of a hemisphere measures 8.4 cm. What is its volume (in cm³ , rounded off to the nearest tens)? (Take π=22over7)

  37. SSC CHSL • 2021

    A solid metallic cube of side 20 cm is melted and recast into a cuboid of length 40 cm and breadth 40 cm. What is the length (in cm) of the body diagonal of the cuboid?

  38. SSC GD • 2025

    In a class, the average score of boys is 75 with 20 boys and the average score of girls is 85 with 30 girls. What is the overall average score of the class?

  39. SSC CGL • 2020

    If a sum of Rs.1,180 is to be divided among A, B and C, such that 2 times A’s share, 5 times B’s share and 7 times C’s share, are equal, then A’s share is :

  40. SSC CHSL • 2025

    The average of 3, 5, 7 is increased by 2. What is the new average?

  41. SSC CGL • 2024

    One year ago, the age of B was twice that of A. After 9 years, if the ratio of the ages of B and A would be 4 ∶ 3, then the sum of their present ages is _ years.

  42. SSC GD • 2024

    What is the value of 14 × 8 + 42 × 9 - 111 + 3?

  43. SSC GD • 2024

    The price of 3 notebooks and 6 pen is Rs. 3000, With the same money one can buy a notebooks and 12 pen. Raju wants to buy 15 pen, how much will be have to pay?

  44. SSC GD • 2019

    If X : Y = 7 : 5 and Y : Z = 7 : 11, then what is the ratio of X : Y : Z?

  45. SSC CGL • 2025

    A chord of a circle has a length of 2√(21) cm. The distance of the chord from the center is 5 cm. What is the radius of the circle?

  46. SSC CHSL • 2025

    A savings scheme offers compound interest annually. A woman deposits ₹10,000. At the end of the first year, the interest rate is 10%. In the second year, due to inflation, the interest rate rises to 12.5%, and in the third year, it drops to 8%. Calculate the…

  47. SSC MTS • 2022

    A toy is formed by placing a solid circular cone on a solid hemisphere and the radius of the common base of the cone and the hemisphere is 15 cm. If the volume of the toy is 2850 π then find the total surface area of that toy.

  48. SSC CHSL • 2024

    Abhishek's marks in Mathematics were incorrectly entered as 93 instead of 63. Due to this, the average marks of the class in Mathematics got increased by 0.5. How many students were there in the class?

  49. SSC GD • 2025

    33 guava trees, 55 banana trees and 88 malta trees need to be planted in rows such that each row contains the same number of trees of one type only. The minimum number of rows in which the trees may be planted is:

  50. SSC MTS • 2022

    The area of a trapezium is 100 cm². If the distance between the parallel sides of the trapezium is 10 cm, then what is the sum of the lengths of the two parallel sides?