Quantitative Aptitude PYQ — Page 347

24,303 questions across SSC exams.

  1. SSC CGL • 2023

    Benny can do a piece of work in 24 days. Chethan and David can do the same work individually in 36 and 48 days, respectively. All of them begin the work together. However, Benny leaves the work 4 days before the completion of work and Chethan leaves the work…

  2. SSC CHSL • 2021

    When an integer n is divided by 6, the remainder is 5. What is the remainder if 9n is divided by 6?

  3. SSC CGL • 2023

    A is 50% more efficient then B. B worked to finish the same work in 20 days. If A and B worked together, then how much time will they take to finish the same work?

  4. SSC GD • 2019

    Two pipes A and B can fill a tank in 12 minutes and 15 minutes, respectively. When an outlet pipe C is also opened, then the three pipes together can fill the tank in 10 minutes. In how many minutes can C alone empty the full tank?

  5. SSC CHSL • 2020

    The three medians AX, BY and CZ of Δ ABC intersect at point L. If the area of Δ ABC is 30 cm², then the area of the quadrilateral BXLZ is:

  6. SSC CHSL • 2023

    The following pie-chart shows the percentage distribution of different fruits in a market. [Image] There are 15,000 kg of oranges in the market. Find the quantity of muskmelon and watermelon together.

  7. SSC CGL • 2024

    In △ ABD and △ FEC, ∠BAD = 60°, l(BD) = l(EC), ∠ABD = ∠FEC = 90°, and l(AB) = l(FE). Find the ratio of ∠BADover ∠FCE . [Image]

  8. SSC GD • 2021

    Divide ₹2760 into two parts such that when these are invested for 2 and 4 years, respectively, at the rate of 5% per annum simple interest, the amounts received are equal. What is the second part (in ₹) invested?

  9. SSC CGL • 2021

    If a train runs with the speed of 72 km/h, it reaches its destination late by 15 minutes. However, if its speed is 90 km/h, it is late by only 5 minutes. The correct time to cover its journey in minutes is:

  10. SSC CGL • 2024

    If p= sin Aover1+cos A , then sin Aover1-cos A is equal to:

  11. SSC CHSL • 2021

    If a nine-digit number 1263487xy is divisible by both 8 and 5 then, the greatest possible values of x and y, respectively, are:

  12. SSC CGL • 2025

    What are the average monthly sales of A?

  13. SSC CGL • 2023

    A, B and C can separately complete a work in 12, 15 and 20 days, respectively. They worked together for 4 days. What will be the remaining work?

  14. SSC CHSL • 2020

    Find the value of 225 – [42 – {25 - (18 – [Image]

  15. SSC CGL • 2023

    A group of men decided to do a job in 13 days but 9 men left the work after each day. The work, as a result, got completed in 16 days. How many men were initially in the group?

  16. SSC CGL • 2024

    The greatest value of sin⁴θ + cos⁴θ is:

  17. SSC Selection Post • 2024

    In a division sum, the divisor is 10 times the quotient and 5 times the remainder. If the remainder is 12, then what is the dividend?

  18. SSC GD • 2021

    ₹ 13,540 is to be divided between Kamal and Sunita such that Kamal's share at the end of 5 years may be equal to Sunita's share at the end of 7 years. If the rate of interest is 8% per annum compounded annually, then Kamal's share is:

  19. SSC CHSL • 2022

    Sonam is a cab driver, who plies within a city. The number of kilometres that she drives on a Tuesday was 12.5% less than the number of kilometres that she drives on the day before. On the other hand, the number of kilometres that she drives on Wednesday was…

  20. SSC CHSL • 2025

    There are 15 numbers. The average of all 15 is 20. The average of the first 9 numbers is 18. The average of the last 7 numbers is 24. What is the 9th number?

  21. SSC CHSL • 2022

    A man purchased a cell phone for ₹ 24,500 and sold it at a gain of 12.5% calculated on the selling price. The selling price of the cell phone was:

  22. SSC CHSL • 2025

    In a class, ratio of the boys to the girls is 5:3. If 20% of the boys and 40% of the girls fail an exam, what is the ratio of the number of boys who passed to the number of girls who passed?

  23. SSC CHSL • 2025

    A hemispherical shell has an inner radius of 12 cm and an outer radius of 13 cm. Calculate the volume of the material forming the shell.

  24. SSC CHSL • 2021

    If x + y + z = 4, xy + yz + zx = 1 and x³+ y³ + z³ = 34, then what is the value of 2xyz?

  25. SSC CGL • 2025

    A sum becomes 4 times its original value in 6 years under compound interest. In how many years will it become 16 times of the original amount?

  26. SSC Selection Post • 2020

    Raghu agrees to complete a work for ₹8,400 in 16 days. But by engaging an assistant, the work is completed in 12 days. Find the share of money/remuneration to be received by the assistant.

  27. SSC CGL • 2025

    A person invested a total sum of ₹1900 in three different schemes of simple interest at 2%, 4%, and 5% per annum. At the end of one year, he got the same interest from all three schemes. What was the amount (in ₹) invested at 4%?

  28. SSC CGL • 2018

    If A had worked alone he would have taken 63 hours to do the task. What is B's share, if A and B work together on a task finishing it in 36 hours and they get paid Rs 5,950 for it?

  29. SSC CGL • 2019

    The value of [Image] is:

  30. SSC Selection Post • 2024

    A sum of money invested at simple interest amounts to ₹1,01,264 in 3 years and to ₹1,01,654 in 4 years. What was the sum invested (in ₹)?

  31. SSC CGL • 2022

    AD is the median of triangle ABC. P is the centroid of triangle ABC. If AP = 14 cm, then what is the length of PD?

  32. SSC CGL • 2023

    A cyclist rides 20 km in 120 minutes and rides another 25 km in 150 minutes. What is the average speed of the cyclist, in km/h?

  33. SSC CGL • 2023

    Using trigonometric formulas, find the value of ((sin(x-y))/(sin(x+y))) ((tan x + tan y)/(tan x - tan y))

  34. SSC CGL • 2025

    A startup has three stakeholders. A brought 40% of the capital, and B brought the rest. C joined later and was promised 20% of the total profit for branding. If the total profit was Rs. 2,50,000, how much was B's share?

  35. SSC Selection Post • 2022

    A sum of ₹6,300 is divided among A, B, C, and D such that the ratio of the combined share of A and D to the combined share of B and C is 11 : 10 and the ratio of the shares of B and D is 8 : 9. If C receives ₹1,560, then what is the difference (in ₹) between…

  36. SSC Selection Post • 2019

    If x+9y is divisible by 5, where x and y are integers, then what is the remainder when 8x + 7y is divided by 5?

  37. SSC CHSL • 2024

    Among the ratios 3 : 4, 5 : 8, 1 : 2, 6 : 9 which is the greatest?

  38. SSC CGL • 2021

    To do a certain work, efficiencies of A and B are in the ratio of 7 : 5 , Working together, they can complete the work in 17 1/2 days. In how many days, will B alone complete 50% of the same work?

  39. SSC CGL • 2019

    AB is a diameter of a circle with centre O. CB is tangent to the circle at B. AC intersects the circle at G. If the radius of the circle is 6 cm and AG = 8 cm, then the length of BC is:

  40. SSC CGL • 2018

    A, B, and C can do a job working alone in 50, 75 and 20 days respectively. They all work together for 4 days, then C quits. How many days will A and B take to finish the rest of the job?

  41. SSC CHSL • 2021

    The average weight of some students in a group is 58 kg. If 8 students of average weight 54 kg leave the group, and 3 students weighting 53.6 kg, 54 kg, and 57.4 kg join the group then the average weight of the remaining students in the group will increase…

  42. SSC CGL • 2023

    Find the fourth proportional of 144, 192, and 216.

  43. SSC Selection Post • 2022

    What is n if 16, n and 49 are in continued proportion?

  44. SSC CGL • 2024

    Find the value of 3sin15˚ - 4sin³15˚.

  45. SSC CHSL • 2025

    A circular embankment is constructed with a radius of 40 meters. A second concentric circular embankment is built around the first, with a width of 12 meters. What is the approximate area of the region between the two embankments?

  46. SSC CGL • 2024

    If the area of a sector of a circle is 462 cm² and the central angle is 120°, then its radius is ____.

  47. SSC CGL • 2022

    The table given below shows the earnings of two persons on five different days. [Table] What is the ratio of total earnings of P to the total earnings of Q?

  48. SSC CHSL • 2025

    A spherical tank at a water purification plant holds 36π cubic meters of treated water. What is the radius of the tank?

  49. SSC CGL • 2023

    Avinash’s monthly salary is ₹50,000 and his monthly expenditure is ₹18,000. Radha’s monthly salary is ₹60,000 and her monthly expenditure is ₹24,000. Find the ratio of Radha’s savings to Avinash’s saving’s.

  50. SSC CGL • 2019

    A circle is inscribed in a triangle ABC. It touches the sides AB, BC and AC at the points R, P and Q respectively. If AQ = 4.5 cm, PC = 5.5 cm and BR = 6 cm, then the perimeter of the ΔABC is: