Quantitative Aptitude PYQ — Page 317

24,303 questions across SSC exams.

  1. SSC Selection Post • 2019

    a, b, c, d, e are five numbers such that their average is 38. The average of b, c, d is 17, and e is less than a by one. What is the value of e?

  2. SSC CGL • 2022

    From the body of a solid cube of edge 7cm, a solid sphere is removed. The volume of the remaining solid was found to be 163.333cm³. What is the diameter (in cm) of the sphere? (Take π =22/7)

  3. SSC CGL • 2025

    A solid cylinder has a radius of 5 cm and a height of 10 cm. A smallest cylindrical hole of radius 3 cm is frilled coaxically through its entire length. What is the approximate volume of the remaining solid?

  4. SSC GD • 2021

    A trader marked the price of an article so as to earn a profit of 28% on its cost price police stop he sold it by giving 15% discount on its marked price. What was his actual profit percentage?

  5. SSC CGL • 2019

    What is the ratio of the mean proportional between 4.8 and 10.8 and the third proportional to 0.4 and 2.4?

  6. SSC CGL • 2023

    Study the given pie-chart carefully and answer the following question. What is the total amount (in Rs.) used by the school for the payment? [Image]

  7. SSC GD • 2019

    What is the value of (5 ÷ 1/5 of 25/4 + 20/3 ÷ 100/9)?

  8. SSC MTS • 2022

    The area ofa trapezium shaped field is 1785 square feet. The distance between the two parallel sides is 35 feet and one of the parallel sides is 42 feet long. What is the length of the other parallel side?

  9. SSC CHSL • 2021

    The value of 8 ÷ 2 of 3 - [56 ÷ 4 of {4 x 3 - (9 - 11) ÷ (2÷ 4 of 4)}] is:

  10. SSC CGL • 2025

    The difference between 20% of a number and 10% of the same number is 120. What is the number?

  11. SSC CGL • 2023

    Simplify the expression (s²+t²+2st-u²)/(s²-t²-2tu-u²) , provided (s + t + u) ≠ 0.

  12. SSC CHSL • 2024

    What is the ratio between the number of students studying at Post-Graduate and Graduate levels, respectively, from college E?

  13. SSC CGL • 2025

    If two complementary angles are in the ratio 1:2, find the angles.

  14. SSC Selection Post • 2022

    In how much time (in years) will ₹8,000 amount to ₹9,159.20 at 14% per annum intrest compounded half yearly?

  15. SSC CHSL • 2020

    Raju can finish a piece of work in 20 days. He worked at it for 5 days and then Jakob alone finished the remaining work in 15 days. In how many days can both finish it together?

  16. SSC CGL • 2024

    If 28.9 : x :: x : 36.1, and x > 0, then find the value of x.

  17. SSC CHSL • 2022

    At a certain rate of interest compounded annually, a sum amounts to Rs.10,890 in 2 years and to Rs.11,979 in 3 years. The sum is:

  18. SSC Selection Post • 2022

    What is the value of p if the average of the following numbers is 14? 27, 32, 14, 0, p, 10, 15

  19. SSC CGL • 2021

    ABCD is a cyclic quadrilateral such that when sides AB and DC are produced, they meet at E, and sides AD and BC meet at F, when produced. If ∠ADE = 80° and ∠AED = 50°, then what is the measures of ∠ AFB

  20. SSC Selection Post • 2022

    Two numbers are in the ratio of 5 : 7 and their LCM is 385. Find the numbers.

  21. SSC CGL • 2023

    A thief is noticed by a policeman from a distance of 500 m. The thief starts running and the policeman chases him. The thief and the policeman run at the rate of 17 km/h and 20 km/h, respectively. What is the distance between them after 8 minutes?

  22. SSC CGL • 2023

    The interest earned on ₹21,000 in 3 years at simple interest is ₹6,400. What is the rate of interest per annum?

  23. SSC CHSL • 2019

    The value of 4tan²30° + 1/4 sin²90° + (1/8) × (cot²30°cos²45°/sin60°cos30°) - cos60°sin30° is:

  24. SSC GD • 2019

    If 30% of x is same as 40% of y then what is y : x ?

  25. SSC CHSL • 2022

    If (x³ + y³)^(2/3) = (x² + y²), then the value of (x² + y²)/xy, x ≠ 0, y ≠ 0, is

  26. SSC CHSL • 2022

    If a + b + c = 0, then find the value of (a²+b²+c²)/(a²-bc)

  27. SSC CHSL • 2024

    In the diagram, if AB̅ ∥ CE̅ , AG = GD = DH = HB, then which of the following is correct? [Image] I) ΔACG ≅ ΔBEH II) ΔCDE ≅ ΔDEB III) ΔHFB ≅ ΔAFG

  28. SSC Selection Post • 2023

    A book is sold at a discount of 32% and an additional discount of 25% is allowed on cash payment. If Ramesh purchased the book by paying Rs. 2,550 in cash, find the marked price of the book.

  29. SSC CGL • 2022

    The base of a triangle is increased by 40%. By what percentage (correct to two decimal places) should its height be increased so that te area increases by 60%?

  30. SSC CGL • 2022

    What is the LCM of 3.6, 1.8 and 0.144?

  31. SSC MTS • 2022

    An inkjet printer can print 8 lines/second and can print a document in 6 minutes. How much time would an LED printer take to print the same document if it can print 7 lines/second more than the inkjet printer?

  32. SSC CHSL • 2024

    Study the given bar-graph carefully and answer the question that follows. [Image] In which year was there maximum percentage increase in the export of pearls to that in the previous year?

  33. SSC CHSL • 2022

    If triangles ABC and PQR are both isosceles with AB=AC and PQ=PR, respectively. If also AB=PQ and BC=QR and angle B=50°, then what is the measure of angle R?

  34. SSC CHSL • 2025

    A man pulls a rope tied to a flagpole at ground level. The rope is 20 meters long and makes an angle of 60° with the ground. How high up the flagpole is the point where the rope is tied? Also, find the horizontal distance between the man and the base of the…

  35. SSC CGL • 2019

    The ratio of the efficiencies of A, B and C is 4 : 5 : 3. Working together, they can complete that work in 25 days. A and C together will complete 35% of that work in:

  36. SSC Selection Post • 2019

    When (2³⁶-1) is divided by 9, the remainder is:

  37. SSC CHSL • 2024

    If 6 engineers can complete a work in 5 days and 5 skilled workers can complete the same work in 7 days, then the time taken (in days) to complete the same work by 7 engineers and 4 skilled workers will be:

  38. SSC Selection Post • 2022

    A family has an annual income of Rs.8,00,000, out of which they save some money. They spend 15% of the total income on health. The expenditure done on education is half of the expenditure incurred on rent. The expenditure on food was Rs.40,000, which is 10%…

  39. SSC MTS • 2019

    The data given below presents number of households corresponding to the number of children residing therein. [Table] What is the difference (correct up to two decimal places) between the mean and the median of the number of the chiildren?

  40. SSC GD • 2019

    The bar chart given below shows the ratio of expenditure to revenue for seven consecutive years Y1, Y2, Y3, Y4, Y5, Y6 and Y7. [Image] The profit percentage is lowest for which year?

  41. SSC CHSL • 2020

    Salma buys an article and then sells it for Rs.810. If she loses 10%, then at what price should she sell it to gain 4%?

  42. SSC CHSL • 2020

    In Δ PQR, the side QR is extended to S such that RS = PR. If ∠QPS = 110ᵒ and ∠PRQ = 70ᵒ , then the value of ∠PQR is:

  43. SSC CGL • 2022

    The simple interest on a certain sum is one-eighth of the sum when the number of years is equal to half of the rate percentage per annum. Find the simple inrerest (in ₹) on ₹ 15,000 at the same rate of simple interest for 8 years.

  44. SSC CHSL • 2019

    If cosec 31° = x, then sec 59° cosec 31° − (sec²θ – tan²θ) is equal to:

  45. SSC CHSL • 2025

    Triangle MNO has an area of 12 cm². A similar triangle, M'N'O', has a perimeter that is twice the perimeter of Triangle MNO. What is the area of Triangle M'N'O'?

  46. SSC CHSL • 2025

    A can manufacturer wants to paste a label around a cylindrical can of radius 5 cm and height 12 cm. What is the area of the label if it covers the lateral surface only?

  47. SSC CGL • 2024

    If in order to pass the exam, a minimum of 105 marks is needed in History, how many students pass the exam?

  48. SSC CGL • 2025

    A hollow metallic sphere has outer radius 10 cm and is melted to make 50 smaller solid spheres of radius 2 cm. What is the inner radius of the original sphere?

  49. SSC CHSL • 2023

    What is the area of a triangular flower bed of a garden whose perimeter is 20 metres and two sides are 5 metres and 6 metres.

  50. SSC CHSL • 2019

    If cosθ = 2p/(p²+ 1), p≠0 then tan θ is equal to: