Quantitative Aptitude PYQ — Page 142

24,303 questions across SSC exams.

  1. SSC GD • 2024

    If the selling price of a fan is Rs. 306 and loss percentage is 32 percent, then what is the cost price of the fan?

  2. SSC CGL • 2025

    In a cyclic quadrilateral ABCD, if angle B is 120°, what is the measure of angle D?

  3. SSC Selection Post • 2019

    Express the following decimal in fractions. 0.025

  4. SSC CGL • 2024

    Rajesh, in printing press, got an order to print some books, out of which he complete 17/27 of the order in 34 days. In how many days did he complete the entire order of printing?

  5. SSC CHSL • 2025

    If, a + b = 24 and a² + b² = 320, then find the value of (a³ + b³).

  6. SSC CHSL • 2023

    The length of the direct common tangent is 24 cm for two circles whose radii are 16 cm and 6 cm. What is the distance between their centres?

  7. SSC CGL • 2025

    The angle between two tangents drawn from an external point to a circle is 60°. What is the angle subtended by the chord connecting their points of contact at the center?

  8. SSC CGL • 2023

    If sin 23° = a/b , then the value of sec 23^°- sin 67° is ___.

  9. SSC CHSL • 2024

    PQ is the diameter of a circle with centre O. PT is a tangent touching the circle at P. The secant QT intersects the circle at S. O and S are joined. If ∠ SOP = 104°, what is the measure (in degrees) of ∠PTQ?

  10. SSC CHSL • 2023

    At what annual rate (rounded off to the nearest integer) of simple interest will a sum of money become five times its initial value in 18 years?

  11. SSC MTS • 2019

    A trader marked up his articles 25% more than the cost price. If he offered a discount of 10%, then what will be his profit percentage?

  12. SSC GD • 2025

    In a circular race of 800 m length, Ram and Mohan start at speeds of 25 m/sec and 40m/sec, respectively, at the same time from the same point. After how much time will they meet for the first time at the starting point, when running in the same direction?

  13. SSC GD • 2023

    Tina puts Rs. 48000 in a bank account. She takes it out 6 years later, it is now worth Rs. 60000. The percent increase is:

  14. SSC GD • 2019

    If the side of a square increases by 20%, then what will be percent increase in its perimeter?

  15. SSC CGL • 2023

    Archana took a loan of ₹78,000 from a bank on 24^(th) January 2012 at 83/4 % per annum simple interest and paid it back on 18^(th) June 2012. Find the total amount paid by Archana. (Approximated to nearest integer)

  16. SSC CGL • 2025

    A chord divides a circle into two arcs. The angle subtended by the major arc at the circumference is 110 ^° . What is the central angle subtended by the major arc?

  17. SSC MTS • 2022

    40 chairs are bought at the marked price of 36 chairs. If these 40 chairs are sold after giving a discount of 1%, then find the profit percentage?

  18. SSC CHSL • 2023

    The value of (cosec²B - 1) (sec²B - 1) is:

  19. SSC CGL • 2022

    A trader has a weighing balance that shows 1300 g for a kg. He further marks up his cost price by 15%. The net profit percentage is:

  20. SSC CHSL • 2025

    In a warehouse, there are 3 stacks of bricks. The average weight of the bricks in Stack A is 112.5 kg, in Stack B is 118.75 kg, and in Stack C is 107.25 kg. If Stack A has 12 bricks, Stack B has 8 bricks, and Stack C has 16 bricks, find the overall average…

  21. SSC CGL • 2024

    If 3 sin A + 4 cos A = 5, then the value of tan A is:

  22. SSC GD • 2025

    The marked price of a chair was ₹19,200. The shopkeeper was offering it for a discount of 20%, but on further bargaining agreed to offer a successive discount and finally sold the chair for ₹13,824. What was the second discount offered by the shopkeeper?

  23. SSC CGL • 2023

    Ram has an average score of 65 runs in 19 innings in cricket matches. Find out how many runs are to be scored by him in the 20th innings to raise the average score to 67.

  24. SSC CGL • 2021

    If 2sin(3x - 15)° = 1, 0° < (3x - 15 ) < 90°, then find the value of cos² (2x + 15)°+ cot² (x + 15)°.

  25. SSC CHSL • 2020

    Which of the following numbers will completely divide 7⁸¹ + 7⁸² + 7⁸³?

  26. SSC CHSL • 2025

    If an article is sold for Rs. 96 at a loss of 20%, what was its cost price?

  27. SSC Selection Post • 2022

    Two numbers are in the ratio of 5 : 9. If 25 is subtracted from each, the ratio becomes 25 : 49. Find the numbers.

  28. SSC GD • 2024

    The selling price of a table is Rs. 7686. If the profit percentage is 22 percent, then what is the cost price of the table?

  29. SSC CHSL • 2022

    Romesh opened a fixed deposits account in his bank for 3 years by depositing ₹80,000.The bank has promised to pay him compound interest annually at the rate of 7% per annum. What is the maturity value of his FDR? (Nearest to a ₹)

  30. SSC Selection Post • 2023

    If x + y = √13 and x - y = √11, then the value of xy (x² + y² ) is:

  31. SSC CHSL • 2025

    The ratio of the profit to the cost price is 3 : 8. What is the ratio of the selling price to the cost price?

  32. SSC CGL • 2019

    A trader marks his goods at 40% above the cost price. He sells 70% of the goods at the marked price and the rest, he sells by allowing a 40% discount on the marked price. His percentage profit is:

  33. SSC GD • 2024

    Find the area of a triangle with a base of 12 cm and the height conesponding to that base is 1/3rd the length of the base.

  34. SSC CGL • 2022

    A hemisphere of lead of radius 4 cm is cast into a right circular cone of height 72 cm. What is the radius of the base of the cone?

  35. SSC MTS • 2022

    What is the sum of the central angles made by sector P4 and sector P6?

  36. SSC Selection Post • 2020

    The ratios of acid and water in vessels A and B are 4: 5 and 7: 5, respectively. In what ratio should the contents of A and B be mixed to get a solution containing 50% acid?

  37. SSC GD • 2023

    A sphere of radius 6 m is cut into two equal halves. find the volume of each hemisphere so formed. (use π 22/7 )

  38. SSC CGL • 2025

    If sin x = cos x, find sin⁴x + cos⁴x.

  39. SSC CGL • 2024

    Find the area of a rectangle whose length is 52m and breadth is 9m.

  40. SSC MTS • 2022

    The difference between the compound interest, when compounded annually, and the simple interest on a certain sum of money for 2 years at 4.2% is ₹8.82. What is the sum?

  41. SSC CHSL • 2023

    A transverse common tangent is drawn to two circles of radius 8.5 cm and 5.5 cm. The centres of the two circles are 18 cm apart. What is the length (in cm) of the tangent?

  42. SSC MTS • 2022

    A girl goes from M to N at a speed of 25 km/h and returns to M at a speed of 37.5 km/h, via the same route. What is the girl's average speed (in km/h)?

  43. SSC GD • 2026

    The cost price of 120 articles is same as the selling price of y articles. If there is a loss of 4 percent, then what is the value of y? (Cost price of all the articles is same. Selling price of all the articles is same)

  44. SSC CHSL • 2025

    A trader buys 50 kg of rice at ₹50 per kg and 30 kg of a different variety at ₹60 per kg. He mixes the two varieties and sells the entire mixture at ₹55 per kg. What is his total profit or loss?

  45. SSC CHSL • 2021

    In Δ ABC, ∠A= 90°, AB = 20 cm and BC = 29 cm. What is the value of (sinB - cotC)?

  46. SSC Selection Post • 2022

    The value of 0.49-0.7×0.9+ 0.81 over 0.729+0.343 is :

  47. SSC CHSL • 2023

    In a village election between three candidates, 80% of the voters cast their votes, out of which 3% votes were declared invalid. The winning candidate got 42,680 votes, which was 55% of the total valid votes. Find the number of valid votes received by the…

  48. SSC Selection Post • 2022

    A, B and C are three boxes containing marbles in the ratio 3:5:7 and the total number of marbles is 150. If 12 mar are transferred from A to B and 8 marbles are transferred from B to C, then the new ratio of the marbles A: B: C is:

  49. SSC CGL • 2022

    A can do a certain work in 15 days, while B can do the same work in 21 days. If they work together, then in how many days will the same work be completed?

  50. SSC GD • 2024

    Evaluate: 6 + 2 x (9 - 4) ^÷ 2.