Quantitative Aptitude PYQ — Page 143

24,303 questions across SSC exams.

  1. SSC CGL • 2022

    If cot A = 15/8, then what will be the value of tan 2A?

  2. SSC CGL • 2023

    The following pie chart shows the monthly sales of laptops by five companies (A, B, C, D, and E) in a store. [Image] If 2,500 laptops were sold by the store in a month, then what is the difference between the number of laptops sold by Company A and that of…

  3. SSC GD • 2025

    The population of a district is 340000, out of which 217000 are males. 11% of the population is literate. If 11% males are literate, then what percentage of females are literate?

  4. SSC CHSL • 2025

    A metal sphere is dropped into a cylindrical container of diameter 20 cm partially filled with water. If the water rises by 1.5 cm, what is the radius of the sphere?

  5. SSC CGL • 2020

    In the given figure, MP is tangent to a circle with centre A and NQ is a tangent to a circle with centre B. If MP = 15 cm, NQ = 8 cm. PA = 17 cm and BQ = 10 cm, then AB is: [Image]

  6. SSC MTS • 2019

    What is the average of all the multiples of 6 from 20 to 80?

  7. SSC CHSL • 2023

    If two tangents inclined at an angle of 120° are drawn to a circle of radius 6 cm, then what is the length (in cm) of each tangent?

  8. SSC CHSL • 2024

    A cuboidal water purifier can carry 10 liters of water. Its breadth is 1/5 of its height and length 1/3 of the sum of the breadth and height. The height of the tank is:

  9. SSC CGL • 2023

    secθ√(1 - sin²θ) = ?

  10. SSC CHSL • 2020

    A man buys 2 apples and 3 kiwi fruits for Rs.37. If he buys 4 apples and 5 kiwi fruits for Rs.67, then what will be the total cost of 1 apple and 1 kiwi fruit?

  11. SSC MTS • 2019

    What is the ratio of the number of books of S1 and the average number of books per subject?

  12. SSC CHSL • 2020

    In the following figure (not to scale), at the centre O, if the chord AB subtends double the angle that is subtended by chord CD and the angle ∠AEB = 2∠AOB, then ∠COD is equal to: [Image]

  13. SSC CHSL • 2021

    If cos θ = 2/3 , then 2sec² θ + 2tan² θ - 6 equals:

  14. SSC CGL • 2025

    A triangle with sides 5 cm, 12 cm, and 13 cm has an inradius of 2 cm. What is its area?

  15. SSC Selection Post • 2022

    A merchant fixes the sale price of his goods at 31% above the cost price. He sells his goods at 13% less than the fixed price. His profit percentage is:

  16. SSC CGL • 2021

    In a circle with center O. a diameter AB is produced to a point P lying outside the circle and PT is a tangent to the circle at a point C on it, If ∠BPT = 28°, then what is the measure of ∠BCP?

  17. SSC GD • 2025

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

  18. SSC GD • 2021

    The average of 48 numbers is 48. It was found later that observation 48 was wrongly taken as 84 at two places. What is the correct average?

  19. SSC GD • 2025

    4 men and 3 women finish a job in 6 days, and 5 men and 7 women can do the same job in 4 days. How long will 8 men and 6 women take to do the same job?

  20. SSC CHSL • 2023

    Study the following graph carefully and answer the questions given below it. [Image] What is the ratio of companies having more demand than production to those having more production than demand?

  21. SSC GD • 2025

    Find the value of [(16 ÷ 8) × { 40over2 + 11over6 ​ × (8 − 2)}]

  22. SSC GD • 2023

    What is the discount percentage on ‘Buy 5 Get 3 Free’?

  23. SSC GD • 2021

    The value of [6 + 3 of 7 - 5] ÷ 2 of 11 is:

  24. SSC CGL • 2022

    The volume of a cylinder is 4312 cm³. Its curved surface area is one-third of its total surface area. Its curved surface area (in cm²) is:

  25. SSC Selection Post • 2022

    A sum of ₹46,800 is divided among A, B, C and D such that the ratio of the combined share of A nd D to the combined share of B and C is 8 : 5. The ratio of the shares of B and C is 5 : 4. If A receives ₹18,400, then the sum of the shares of A and B (in ₹) is:

  26. SSC CHSL • 2025

    In triangle ABC, the orthocenter O and the incenter I. If ∠BIC - ∠BOC = 90°, what is ∠A?

  27. SSC CGL • 2023

    The ratio of the speed of a motorboat to that of the speed of current is 31: 6. The motorboat starts from a point and covers a certain distance along the current in 4 h 10 min. Find the time taken by the motorboat to come back to its initial point.

  28. SSC CGL • 2024

    One-quarter of a circular pizza of radius 21 cm was removed from the whole pizza. What is the perimeter (in cm) of the remaining pizza? (Use pi = 22/7 )

  29. SSC CGL • 2025

    A circle with a radius of 20 cm. A chord of length 32 cm is drawn. What is the distance from the center of the circle to the chord?

  30. SSC GD • 2023

    Find the maximum length of a rod (in m) that can be kept in a cuboidal room of length 10 m, breadth 6 m, and height 8 m.

  31. SSC CGL • 2020

    Sudhir purchased a laptop for Rs.42,000 and a scanner-cum-printer for Rs.8,000. He sold the laptop for a 10% profit and the scanner-cum-printer for a 5% profit. What is his profit percentage?

  32. SSC Selection Post • 2019

    A person covers equal distances at the speeds of 3 km/h, 4 km/h, 7 km/h and 12 km/h and takes a total of 340 minutes to cover the distance. What is the total distance (in km) covered by him?

  33. SSC GD • 2025

    The speed of a stream is 9 km/h. A boat can go 28 km downstream and 20 km upstream in 8 hours. What is the speed (in km/h) of the boat in still water?

  34. SSC CHSL • 2025

    CI on ₹2000 for 1 year at 10% p.a. is:

  35. SSC CHSL • 2019

    In triangle ABC, BD ⊥ AC. E is a point on BC such that ∠BEA = x°. If ∠EAC = 38° and ∠EBD = 40°, then the value of x is:

  36. SSC CHSL • 2025

    If sec²θ = 4, then find the value of sin²θ + cosec (90 - θ) where 0°

  37. SSC GD • 2019

    The average of six numbers N1, N2, N3, N4, N5 and N6 is A. 5 is subtracted from each number. What is the new average?

  38. SSC GD • 2024

    If A1 is 19 times more than A2, then A2 is what percentage less than A1?

  39. SSC GD • 2025

    Find the value of [(26 × 14) × {9 ÷ 3 × (19-15)over2 }]

  40. SSC CGL • 2025

    A circular clock has a radius of 12 cm. A chord along with two radii forms an equilateral triangle at the center. The smaller segment formed by the chord is painted. What percentage of the clock's total area is this segment? (Use π = 3.14, √3 = 1.732)

  41. SSC GD • 2025

    By selling an article for ₹1,500, a man gains ₹150. At what price (in ₹) should he sell the article to gain 24%?

  42. SSC CGL • 2020

    Anu fixes the selling price of an article at 25% above its cost of production. If the cost of production goes up by 20% and she raises the selling price by 10%, then her percentage profit is (correct to one decimal place):

  43. SSC CGL • 2024

    For triangles, which of the following statement(s) are true? (a) Sum of interior angles is 180°. (b) All interior angles can’t be equal. (c) Can have at the most one obtuse angle. (d) Sum of two sides may or may not be equal to the third side.

  44. SSC GD • 2023

    A man saves 25% of his monthly income. Due to a 20% increase in his income, his expenditure also increases by 20%. Now he can save Rs.1,500 per month. Find his original monthly income.

  45. SSC CHSL • 2023

    The ratio of income of Jitendra and Narendra is 4 : 7, and the ratio of their expenditure is 6 : 5 , respectively. If Jitendra saves Rs.400 out of Rs.2,800 incurred, then find the savings of Narendra.

  46. SSC CHSL • 2024

    What is the difference between the average production of Model A in 2019, 2021 and 2022 and the average production of Model B in 2020, 2021 and 2022?

  47. SSC CHSL • 2023

    Ravi borrowed some money at the rate of 5% per annual for the first three year, 8% per annual for next two years, and 10% per annual for the period beyond 5 year. If he paid a total simpale interest of Rs 12750 at the end of 7 years. then how much money did…

  48. SSC CHSL • 2020

    If 2a + 3b = 8 and ab = 5, then find the value of 4a² + 9b².

  49. SSC Selection Post • 2022

    Four years ago, the ratio of the ages of A and B was 3 : 5. Six years hence, the ratio of the ages of A and B will be 2 : 3. What is the sum (in years) of the present ages of A and B?

  50. SSC CHSL • 2025

    A grocer sells sugar at a 10% loss. Had he sold it for ₹0.60 more per kg, he would have gained 8%. What is the cost price of sugar per kg?