Quantitative Aptitude PYQ — Page 157

24,303 questions across SSC exams.

  1. SSC CHSL • 2024

    A public library has an average attendance of 410 on Sundays and 230 for the remaining days. The average attendance per day of a month of 30 days beginning with Sunday would be:

  2. SSC CHSL • 2025

    Which of the following is the largest three-digit number that is a perfect square?

  3. SSC Selection Post • 2022

    The mean of 10 numbers is 0. If 38 and −2 are included in these numbers, the new mean will be:

  4. SSC Selection Post • 2022

    P alone can complete 50% of a piece of work in 6 days, and Q can complete 50% of the same work in 9 days. With the help of R, they finish the work in 6 days. In how many days can R alone complete 25% of the work?

  5. SSC Selection Post • 2024

    If x²+ y²+ z² = xy+yz+zx, then the value of ((17x⁴+9y⁴+16x⁴)/(8x²y²+6y²z²+10z²x²) ) is:

  6. SSC Selection Post • 2022

    A man buys 120 toys each at the same cost price. He sells 45% of the toys at 40% profit, one - third of the remaining at 20% profit, and the remaining at a loss which is equal to the cost price of 14 toys. His profit per cent in the entire transaction is:

  7. SSC CGL • 2020

    If x² - 3x + 1 = 0, then what is the value of x⁶ + 1/x⁶ ?

  8. SSC GD • 2024

    What is the Highest Common Factor of 12, 8 and 24?

  9. SSC CHSL • 2020

    Each side of a rectangular field is increased by 10%. Find the percentage increase in the area of the field.

  10. SSC CHSL • 2025

    In triangle PQR, O is incenter. ∠QOR = 110°. Find ∠QPR.

  11. SSC CHSL • 2023

    Simplify the expression; (3-sin²+cos²A)/(2+2cos²A)

  12. SSC CGL • 2023

    Pipe A and pipe B running together can fill a cistern in 6 minutes. If B takes 5 minutes more than A to fill it, then the time in which A and B will fill that cistern separately will be, respectively, _____.

  13. SSC CHSL • 2024

    What is the value of the following expression? 420\ ÷\ [4over9 × (1+4over5) × 5] + [5over7 of 21over25 ÷\ 3over4 of 2over5 ]

  14. SSC Selection Post • 2022

    When the price of rice increases by 25%, a person increases his expenditure on rice only by 15%. By what percentage should he reduce his consumption of rice so as to be able to maintain the same level of expenditure?

  15. SSC GD • 2023

    A girl walks to a park situated 350 m from her house. It took her 3 mins to reach the park and 4 mins to return. What is the average speed of the girl (in km/h)?

  16. SSC CGL • 2023

    The ratio between the monthly income and the expenditure of Vaidic is 8 : 5. If his income increases by 20% and his expenditure increases by 30%, then find the percentage increase or decrease in his monthly savings.

  17. SSC CHSL • 2022

    The given pie chart shows the percentage-wise distribution of books in 5 different states A, B, C, D, and E. The total number of books is 2500. [Image] What is the difference between the total number of books in states B and C together and the total number…

  18. SSC GD • 2019

    What will be the highest number which when divides 52 and 104 leaves remainder 4 and 8 respectively?

  19. SSC GD • 2023

    A shopkeeper offers the following three discount schemes. Which scheme(s) has/have the maximum discount percentage? I. Two successive discounts of 5% and 20% II. Buy 6, get 2 free III. Buy 6, get 4 free

  20. SSC Selection Post • 2020

    The cost price of article A is 20% more than that of B. A is sold for ₹1,800 at a loss of 20% and B is sold such that there is a profit of 20% on both A and B together. The selling price of B is:

  21. SSC GD • 2021

    Vinitha invests ₹ 12,000 on simple interest at the rate of 9% p.a. to obtain a total amount of ₹ 18,480 after a certain Period. For how many years did she invest to obtain the above amount?

  22. SSC MTS • 2022

    What was the difference between the average monthly income of Jyoti over all the six years taken together and Aman's monthly income in the year 2006 (in Rs)?

  23. SSC CHSL • 2020

    Which of the following numbers is divided by 4?

  24. SSC CHSL • 2025

    A bus travels at 50 km/h. How long to cover 300 km?

  25. SSC CHSL • 2025

    A and B invested Rs. 40,000 and Rs. 60,000, respectively. At the end of 6 months, the total profit is Rs. 40,000. What is B’s share in the profit?

  26. SSC CGL • 2023

    Simplify the following expression. (3x + 5 )²+ ( 3x - 5 )²

  27. SSC CGL • 2025

    Two angles are complementary. The measure of one angle is 10 degrees more than three times the measure of the other angle. What is the measure of the smaller angle?

  28. SSC Selection Post • 2022

    A 4-digit number x92x is divisible by 36 and a 7-digit number y569z04 is divisible by 11. For the maximum value of (y + z), what is the value of (2x + y +z)?

  29. SSC CHSL • 2024

    The average of the areas of 2 similar triangles is 706.5 m² whose perimeters are in the ratio of 6 : 11. What is 20% of the difference (in m²) in areas of both triangles?

  30. SSC Selection Post • 2022

    If x% of 190 is 15 less than (x+10)% of 180, then (x+30)% of 90% is what percent more than x% of 150?

  31. SSC CHSL • 2024

    In a state election between two parties, 83% of the voters cast their votes, out of which 4% of the votes were declared invalid. Party A got 156611 votes which were 83% of the total valid votes. Find the total number of votes enrolled in that election…

  32. SSC GD • 2023

    A and B alone take 4 and 6 hours, respectively, to complete a certain work. If they work alternately each hour, starting with A first, how long will it take them to complete the work?

  33. SSC CHSL • 2019

    Which among the following numbers is exactly divisible by 11, 13 and 7? (a) 624613 (b) 624624 (c) 624635 (d) 624646

  34. SSC CGL • 2025

    If sin x = cos(x + 20°), then what is the value of x?

  35. SSC CGL • 2023

    Two circles with radii 22 cm and 16 cm touch each other externally. The length of the direct common tangent is:

  36. SSC GD • 2025

    Find the value of [(50÷ 5)× \72 over 3 + 12 over 1 ×(8 - 7)\]

  37. SSC Selection Post • 2022

    The value of 0.49-0.7 × 0.8 + 0.64 over 0.512 + 0.343 is:

  38. SSC CHSL • 2025

    If sinA = 3/5 and cosB = 5/13, find sinA cosB + cosA sinB.

  39. SSC CGL • 2023

    A metallic cube has each of its side of length 12 cm. It is melted and recast into three small cubes. Out of these cubes, two have their sides as 6 cm and 8 cm, respectively. The length of each side of the third cube is:

  40. SSC GD • 2024

    If p percent of p is 729, then what is the value of p?

  41. SSC CHSL • 2019

    O, G, I and H are respectively the circumcentre, centroid, incentre and orthocentre of an equilateral triangle. Which of these points are identical?

  42. SSC GD • 2025

    The average age of 40 students of a class is 12 years. If the age of the teacher is also included, the average age of the whole group becomes 13 years. The age (in years) of the teacher is:

  43. SSC GD • 2021

    The ratio of the ages of A, B and C, 5 years ago, was 4 : 5 : 7. The sum of their present ages is 135 years. What will be the sum of the ages (in years) of B and C, 3 years from now?

  44. SSC Selection Post • 2024

    If 108 workers can build a wall in 36 days, then in how many days can 48 workers build the same wall?

  45. SSC GD • 2025

    The value of 79 - 2 × [ 10 + 8 × { 16 - 8 ( 6 - 5 ) × 2} ÷ 37] is:

  46. SSC CHSL • 2021

    If 49a² + 25b² = 30 and ab = 1, a, b > 0, then the value of (7a + 5b) is:

  47. SSC CGL • 2024

    One pipe can fill a tank four times as fast as another pipe. If together the two pipes can fill the tank in 48 minutes, the slower pipe alone will be able to fill the tank in:

  48. SSC Selection Post • 2024

    A thief steals an item and escapes, running at 13.5 km/h. A policeman arrives at the spot of the crime after 8 minutes and immediately starts chasing the thief. 28 minutes after the policeman started to chase the thief, there is still a gap of 540 m between…

  49. SSC MTS • 2019

    The simple interest on a principal for 6 months at an interest rate of 10% per annum is Rs. 100. What is the principal?

  50. SSC CGL • 2021

    If a² + c² + 17 = 2 (a - 8b - 2b²), then what is the value of (a³ + b³ + c³)?