SarkariPYQ

Quantitative Aptitude PYQ — Page 222

24,303 questions across SSC exams.

  1. SSC CHSL • 2020

    An article was marked at Rs.x and sold at a discount of (x – 40)%. If the customer paid Rs.(x – 32), then find the marked price of the article.

  2. SSC CHSL • 2023

    Two parallel lines touch the circles at P and Q, The Area of the circle is 154 cm². Find the length of PQ (Take π = 22/7 )

  3. SSC CHSL • 2023

    In a mixture, the ratio of a chemical X and water is 15 : 9. When 48 litres of this mixture is replaced with water, the ratio becomes 11 : 13. Find the quantity of water after replacement.

  4. SSC CHSL • 2023

    If a : b = 5 : 7, then (6a² - 2b²) : (b² - a²) will be:

  5. SSC CHSL • 2022

    If x is the fourth proportional of 48, 72 and 108, what is the value of x?

  6. SSC CGL • 2025

    If line passing through (3, -1) with slope 4; find y-intercept.

  7. SSC CHSL • 2025

    The radius and the height of a cylinder are in the ratio 3:4 respectively. If the volume of the cylinder is ___ cm³, then the curved surface area of the cylinder is ___ cm² less than the total surface area of the cylinder. (Take π = 3) The values given in…

  8. SSC CGL • 2025

    In ΔABC, medians AD, BE, and CF intersect at the Centroid G. If the area of ΔABC is 60 cm², what is the area of ΔGBC?

  9. SSC CHSL • 2021

    A soft drink company prepares drinks of three different fflavours - A, B and C. The production of the three flavours over a period of five years from 2010 to 2014 has been expressed in the given bar graph. Study the graph and answer the question that…

  10. SSC Selection Post • 2023

    A, B, and C can do a piece of work in 20 days, 30 days, and 60 days, respectively, working alone. How soon can the work be done if A is assisted by B and C, each on every alternate day?

  11. SSC GD • 2023

    A’s speed is 30% more than that of B. If A and B run a race on a 117 m length, what part of the length of the race should A give B a head start so that the race ends in a dead heat?

  12. SSC CGL • 2021

    The marked price of an article in ₹2720. If a shopkeeper sold the article at 15% loss after giving 25% discount, then the cost price (in ₹) of the article is:

  13. SSC CGL • 2022

    Which smallest positive number should be subtracted from each of 9 and 13 so that 18 is the third proportion to them?

  14. SSC CHSL • 2022

    If 49 litres of a milk solution has 63% milk in it, then how much milk should be added to make the concentration of milk 70% in the solution?

  15. SSC CGL • 2022

    The positive numbers are in the ratio 2 : 3 : 4. The sum of their squares is 2349. The average of the first two numbers is:

  16. SSC CHSL • 2019

    The value of 3/4 ÷ 3/4 of 3/4 × 4/3 + 5/2 ÷ 2/5 of 5/4 – (2/3 + 2/3 of 5/6) is:

  17. SSC GD • 2023

    If the surface area of a sphere is 5544 cm², what is its volume?

  18. SSC GD • 2025

    Tushar sold 150 chairs and had a gain equal to the selling price of 50 chairs. What is his profit percentage?

  19. SSC CGL • 2025

    Two types of sugar, one costing ₹50/kg and another costing ₹70/kg, are mixed with a third variety in the ratio 2 : 3 : 4. If the mixture is worth ₹62/kg, what is the price of the third variety of sugar per kg?

  20. SSC Selection Post • 2022

    If a 9-digit number 609a5b9c9 is divided by 99, then (a + b + c) is equal to:

  21. SSC CGL • 2024

    At what angle θ, the value of sin (θ) and cos (θ) will have the same value?

  22. SSC MTS • 2022

    What is the value of (3 ÷ 4) of 20 + 16 ÷ 2 − {(1 ÷ 3) of 12 + (2 ÷ 5) of 25}

  23. SSC CGL • 2020

    If x² - 4x + 4 = 0, then the value of 16(x⁴ - 1/x⁴) is:

  24. SSC GD • 2023

    A woman buys an item for Rs.950 and sells it for Rs.1,150. What is her percentage profit (rounded off to the nearest integer)?

  25. SSC CGL • 2018

    A right circular cylinder is formed. A = sum of total surface area and the area of the two bases. B = the curved surface area of this cylinder. If A : B = 3 : 2 and the volume of cylinder is 4312 cm³, then what is the sum of area (in cm² ) of the two bases…

  26. SSC CGL • 2024

    If sin3A = cos(A - 26°), then A _____ where 3A is an acute angle.

  27. SSC GD • 2021

    By what number must a given number be multiplied to increase the number by 75%?

  28. SSC GD • 2025

    Determine the largest four-digit number that is exactly divisible by 15, 25, 40, and 75.

  29. SSC GD • 2026

    An article is sold for 30 percent loss. The value of discount given is equal to the (7/10) of the selling price. Cost price of the article is what percent of its marked price?

  30. SSC CPO • 2025

    What is the number of faces in a rectangular parallelepiped?

  31. SSC CGL • 2024

    Find the values of 'a' and 'b' for which the system of equations 3x + y = 3 and (a - b)x + (a + b)y = 3a + b - 3 has infinite solutions.

  32. SSC CHSL • 2025

    A pyramid-shaped puzzle piece fits exactly into a square-based hole of depth 4 cm. If the base is 6 cm, what is the volume of the pyramid?

  33. SSC GD • 2023

    A shopkeeper offers three successive discounts of 15%, 30%, and 4% on an article. If the article is marked at ₹1,950, what is its selling price (in ₹, rounded off to the nearest tens)?

  34. SSC CHSL • 2021

    The sum of two numbers is 59 and their product is 1150. Find the sum of their squares?

  35. SSC CGL • 2024

    If psin A − cos A = 1, then p² − (1 + p²) cos A equals:

  36. SSC CHSL • 2023

    The following table gives the marks scored by 4 students in 4 unit tests of English. Read the table carefully and answer the question that follows. [Table] Whose average marks are the highest among the 4 students?

  37. SSC GD • 2024

    Sharman is 20 percent less efficient than Vivek. If Vivek can make a helmet in 20 days, then in how many days can Sharman make the same helmet?

  38. SSC CGL • 2025

    In a ΔPQR, the centroid is at G(1, 2). If the vertices P and Q are at (3, -1) and (-2, 4) respectively, what are the coordinates of vertex R?

  39. SSC CGL • 2022

    A sum of money invested at simple interest becomes 17/10 of itself in 2 years and 6 months. What is the rate of interest per annum?

  40. SSC GD • 2023

    The average salary of all the workers in a factory is Rs.3,000. Among these workers, there are 12 higher officers and their average salary is Rs.12,000. The average salary of the remaining workers is Rs.2,500. The total number of the workers is __

  41. SSC CGL • 2023

    If cos θ = √3/2, then tan²θcos²θ = ?

  42. SSC CGL • 2023

    20 students of a college went to a hotel. 19 of them spent ₹175 each on their meal and the 20^(th) student spent ₹19 more than the average of all the 20. Find the total money spent by them.

  43. SSC CGL • 2024

    Study the given bar graph and answer the question that follows. The following bar graph shows the quarterly profit (in lakhs) of a departmental store from 1997 to 2000. [Image] What was the percentage increase in annual profit of the departmental store from…

  44. SSC CGL • 2024

    Which of the following numbers is divisible by both 2 and 5?

  45. SSC Selection Post • 2022

    A takes 84 hours to finish the work. B completes the same work in one-fourth of the time taken by A. What fraction of the work will they complete in 12 hours?

  46. SSC CGL • 2025

    How many kilograms of sugar costing ₹50 per kg must be mixed with 30 kg of sugar costing ₹35 per kg so that a 20% gain may be obtained by selling the mixture at ₹48 per kg?

  47. SSC GD • 2025

    Raj has ₹1218 with him. He divided it amongst his sons Varun and Ashish and asked them to invest it at 10% rate of interest compounded annually. It was seen that Varun and Ashish got same amount after 13 and 14 years respectively. How much (in ₹) did Raj…

  48. SSC CGL • 2019

    The area of a ΔABC is one unit. DE is a straight line parallel to BC, joining the points D and E on AB and AC respectively such that AD : DB = 1 : 6. The ratio of the areas of ΔADE and ΔABC is:

  49. SSC CHSL • 2024

    What is the effective discount percentage if a shopkeeper offers a scheme discount 'buy five and get one free'?

  50. SSC CHSL • 2022

    The average of six integers is 48. The average of the first five integers is 70% of the sixth integer. The sixth integer is: