Quantitative Aptitude PYQ — Page 478

24,303 questions across SSC exams.

  1. SSC CPO • 2019

    A and B started travelling towards each other at the same time, from place X to Y and Y to X, respectively. After crossing each other. A and B took 2.45 hours and 4.05 hours to reach Y and X, respectively. If the speed of B was 8.4 km/h, then what was the…

  2. SSC CPO • 2019

    If the 5-digit number 538xy is divisible by 3, 7, and 11, then find the value (x² + y²).

  3. SSC CPO • 2023

    Some ice pieces, spherical in shape, of diameter 6 cm are dropped in a cylindrical container containing some juice and are fully submerged. If the diameter of the container is 18 cm and the level of juice rises by 40 cm, then how many ice pieces are dropped…

  4. SSC CPO • 2019

    The number of workers in the factory whose weekly earnings are below Rs. 7000 is what percentage more than the number of workers whose weekly earnings are Rs. 7000 or above but less than Rs. 8500?

  5. SSC CPO • 2024

    If the number of school going children in a town is 64000 and it is increasing annually by 10%, then what will be the number of school going children in the town at the end of 3 years?

  6. SSC CPO • 2019

    What is the HCF of [Image] ?

  7. SSC CPO • 2020

    The perimeter of a square is the same as the perimeter of a rectangle. The perimeter of the square is 40 m, If its breadth is two- thirds of its length , then the area ( in m²) of the rectangle is :

  8. SSC CPO • 2023

    Two numbers are in the ratio of 4 : 3. The product of their HCF and LCM is 2700. The difference between the numbers is:

  9. SSC CPO • 2022

    A policeman sees a thief at a distance of 150 m. He starts chasing the thief who is running at a speed of 5 m/sec, while the policeman chases with a speed of 7m/sec.Find the distance covered by the thief when he is caught by the policeman.

  10. SSC CPO • 2020

    If 4(cosec² 57 - tan²33) - cos90 + y tan² 66 tan² 24 = y/2, then the value of y is:

  11. SSC CPO • 2019

    Pipes A and B can fill a tank in 36 hours and 48 hours, respectively. Both pipes are opened together for 9 hours and then A is closed. Pipe B alone will fill the remaining part of the tank now in:

  12. SSC CPO • 2020

    The expenditure on Education is what percentage less than the expenditure on Defence?

  13. SSC CPO • 2023

    After deducing a commission of 20%, a DVD set costs ₹9,080. Its marked price is:

  14. SSC CPO • 2024

    In an election, 95% of the total voters cast their votes. In this election, there were only two candidates A and B. The winner A, by obtaining 75% of the total votes, defeated his contestant B by 5500 votes. Find the total number of voters in the election.

  15. SSC CPO • 2024

    The total percentage change in the volume of a cuboid if its length and breadth are decreased by 15% and 25%, respectively, while its height is increased by 60% is:

  16. SSC CPO • 2022

    Two trains, running between Bangalore and Chennai, start at the same time from their respective locations and proceed towards each other at the speed of 80km/h and 95km/h. When they meet, it is found that one train has travelled 180km more than the other.The…

  17. SSC CPO • 2025

    The x-intercept of the line 6 x - 2 y = 10 is:

  18. SSC CPO • 2024

    The ratio of marks of A and B is 3 : 4 and the ratio of marks of B and C is 4 : 5. If the difference in the marks of C and A is 30, then how many marks does B get?

  19. SSC CPO • 2022

    The ratio of the number of boys and girls in a school is 3 : 4 respectively. If the number of boys increases by 10% and the number of girls increases by 15%, what will be the new ratio of the number of boys to the number of girls?

  20. SSC CPO • 2024

    Simplify the given expression. ( 7.2 × 4.1 ÷ 12.3 + 22.5 of 1/25 - 1/10 )

  21. SSC CPO • 2019

    If Sinθ - Cosθ = 0, 0^°< θ < 90^°, then the value of Sin⁴θ + Cos⁴θ is :

  22. SSC CPO • 2022

    The area of a circle is 1386 cm² . What is the radius of the circle? Use π = 22/7]

  23. SSC CPO • 2025

    Sec A =13/12 . If A is acute angle, find sin(90° − A) .

  24. SSC CPO • 2024

    From an external point A, tangents AP and AQ are drawn to a circle with center O. If ∠APQ = 40°, then find ∠POQ.

  25. SSC CPO • 2022

    The following bar chart shows the vends of foreign direct investment (FDI) into India from all over the world. [Image] For which year is the per cent increase in FDI over the previous year the highest?

  26. SSC CPO • 2023

    Julie and Soma start from the same point and walk in opposite directions. Julie walks 4 km/h faster than Soma. After 4 hours, they are 40 km apart. How fast did each walk?

  27. SSC CPO • 2022

    If the number 6336633P is divisible by 132, then the value of P is:

  28. SSC CPO • 2020

    A, B, and C started a business investing amounts of ₹13.750, ₹16,250, and ₹18,750, respectively. If B’s share in the profit earned by them is ₹5,200, what is the difference in the profit (in ₹) earned by A and C?

  29. SSC CPO • 2023

    Anandi bought a smart watch from an electronic store for Rs. 4,400. Since she had less money, she paid Rs. 2,000 for down payment, and the shopkeeper offered her an alternative to paying Rs. 2,440 after 1 month. Find the rate of interest being charged at…

  30. SSC CPO • 2020

    The given pie chart shows the percentage distribution of 450 employees in an organisation . Study the pie chart andanswer the question that follows. [Image] What is the number of employees working in department B ?​​​​​​

  31. SSC CPO • 2025

    A right prism is built on a triangular base with side lengths measuring 13 cm, 14 cm, and 15 cm. If the vertical height of the prism is 12 cm, what is the lateral surface area?

  32. SSC CPO • 2025

    A cylindrical container has a diameter of 14cm and a height of 10cm. How much water (in litres) can it hold?

  33. SSC CPO • 2022

    A boat can go 40 km downstream and 25 km upstream in 7 hours and 30 minutes. It can go 48 km downstream and 36 km upstream in 10 hours. What is the speed (in km/h) of the boat in still water?

  34. SSC CPO • 2022

    A hemispherical bowl of internal radius 6 cm contains a liquid. This liquid is to be filled into cylindrical shaped small bottles of diameter 2 cm and height 4 cm. How many bottles will be needed to empty the bowl?

  35. SSC CPO • 2019

    The total numbers of males and females in a town is 70,000. If the number of males is increased by 6% and that of the females is increased by 4%, then the total numbers of males and females in the town would become 73520. What is the difference between the…

  36. SSC CPO • 2019

    The number of persons using a car is what percentage of persons using a scooter?

  37. SSC CPO • 2024

    A train covers a distance of 72 km in 40 minutes. Travelling at the same speed, how many metres will the train cover in 6 seconds?

  38. SSC CPO • 2023

    A vendor bought a book marked at ₹850 at successive discounts of 20% and 10%, respectively. He spent ₹55 on transport and sold the book for ₹980. What will be his profit percentage (rounded off to 2 decimal places)?

  39. SSC CPO • 2024

    A train covers 60 km at a speed of 80 km/h, 100 km at a speed of 90 km/h, and another 140 km at a speed of 120 km/h. Find the average speed for the complete journey. (Round to the nearest integer.)

  40. SSC CPO • 2019

    A person rows a distance of 3(3/4) km upstream in 1(1/2) hours and a distance of 13 km downstream in 2 hours. How much time (in hours) will the person take to draw a distance of 90 km in still water?

  41. SSC CPO • 2025

    A triangular prism has a base formed by a triangle with side lengths 9 cm, 12 cm, and 15 cm. If the height of the prism (perpendicular to the base) is 10 cm, calculate its lateral surface area.

  42. SSC CPO • 2019

    The value of 1/√(17 + 12√2) is closest to ........

  43. SSC CPO • 2023

    The radius of a metallic spherical ball is 3 cm. If the metallic ball is melted and recast into x number of hemispheres of radius equal to half the radius of the metallic spherical ball, then find the value of x.

  44. SSC CPO • 2019

    What is the sum of the greatest three-digit number and the smallest four-digit number, whose HCF is 23?

  45. SSC CPO • 2019

    Pipes P and Q can fill the tank in 18 and 27 minutes respectively, while pipe R can empty the full tank in 54 minutes. After P and Q are opened together for 6 minutes, they are closed and R is opened. Find the time taken by R alone to empty the tank.

  46. SSC CPO • 2022

    A hemispherical bowl of internal radius 6 cm contains a liquid. This liquid is to be filled into cylindrical shaped small bottles of diameter 2 cm and height 4 cm. How many bottles will be needed to empty the bowl?

  47. SSC CPO • 2024

    If a + b + c = 15 and ab + bc + ca = 35, then find the value of a³ + b³ + c³- 3abc.

  48. SSC CPO • 2024

    A student goes to his school by cycle. The distance from his house to school is 5 km and he covers this distance in 1 hour. While going he stops twice for 5 minutes each. Find his average speed (in km/h).

  49. SSC CPO • 2025

    If sin x = cos(2x + 15°), what is the value of x?

  50. SSC CPO • 2025

    A triangle has vertices at A(0, 0), B(6, 0), and C(0, 8). What are the coordinates of its Circumcenter?