Quantitative Aptitude PYQ — Page 247

24,303 questions across SSC exams.

  1. SSC CGL • 2023

    If (x + 1/x)=6 , and x > 1, find the value of (x² - 1/(x²)).

  2. SSC CGL • 2024

    The number of applicants appeared and qualified in a 4-wheeler driving licence test during the last four months of 2022 from a city are listed in the following table. Study the table carefully and answer the question that follows. [Table] What is the…

  3. SSC GD • 2024

    Rakesh, Mahesh and Puneesh together can make a chair in 20 minutes. Rakesh and Mahesh together can make it In 25 minutes. How much time will Puneesh alone take to make that chair?

  4. SSC GD • 2023

    Find the mean proportional between 3 and 27.

  5. SSC Selection Post • 2023

    What is the simple interest on Rs. 8,000 at the yearly rate of interest of 5% for 31/2 years?

  6. SSC CGL • 2024

    The solution of the following equations is: 5x + 4y - 8z = 1 7x - 9y + z = - 1 2x + 3y - 4z = 1

  7. SSC MTS • 2022

    Vinay purchased two bottles for a total of ₹100, and he sells these two bottles at the rate of ₹100 per bottle. What is the overall profit percentage that Vinay had on selling the two bottles?

  8. SSC CHSL • 2022

    The marked price of every item being sold by a wholesaler was ₹300. The wholesaler was offering a stock-clearance sale under which, for every three items paid for, one item was being given free. In addition to this, a further 10% discount on the amount…

  9. SSC CHSL • 2025

    The product of two rational numbers is always:

  10. SSC CHSL • 2019

    Who among the students could not pass?

  11. SSC CHSL • 2025

    A, B, and C start a business. A invests ₹5000 for 12 months, B ₹4000 for 9 months, and C ₹3000 for 6 months. If the total profit is ₹380000, find A's profit share.

  12. SSC CGL • 2025

    A circular path of 2 m width runs around a circular park with radius 7 m. What is the area of the path?

  13. SSC Selection Post • 2019

    The table given below present the sunrise (SR) and sunset (SS) timings in a city during six consecutive days of a week. It is given that the total daylight time (in hrs) = T, and (12-T) expressed in hours is P. [Table] On which day P is zero?

  14. SSC CGL • 2022

    The mean proportional of a and b is c. What is the mean proportional of a² c and b² c?

  15. SSC CHSL • 2019

    The compound interest on a certain sum of money at 21% for 2 years is Rs. 6,961.5. Its simple interest (in Rs.) at the same rate and for the same period is:

  16. SSC CHSL • 2022

    As per data on the basis of which the following bar graph has been constructed, how many students were surveyed? [Image]

  17. SSC CHSL • 2025

    A shopkeeper offers successive discounts of 20% and 10% on a bag and sells it for ₹864. What was the original marked price of the bag?

  18. SSC GD • 2025

    Zakir travels from City A to City B. If Zakir drives his car at 1/4 of his normal speed, then he reaches City B 45 minutes late. Find the time (in minutes) that Zakir would have taken to travel from City A to City B if he drove at his normal speed.

  19. SSC GD • 2023

    In a circular race of 5000 m, starting from the same point, the speeds of two contestants A and B are 36 km/h and 54 km/h, respectively. What is the difference between the time taken (in seconds) to meet for the first time when they are running in opposite…

  20. SSC CHSL • 2025

    The compound interest on a certain sum at 20 % p.a. for 2 ½ years, compounded yearly, is ₹2 920. Find the principal.

  21. SSC CGL • 2025

    If sin A = 0.6, what is the value of tan A?

  22. SSC Selection Post • 2024

    The average monthly income of A and B is ₹5,050, the average monthly income of B and C is ₹6,250, and the average monthly income of A and C is ₹5,200. What is the sum of the monthly incomes (in ₹) of A, B and C?

  23. SSC CGL • 2022

    The side of an equilateral triangle is 24 cm. What will be the radius of in circle of this equilateral triangle?

  24. SSC CGL • 2025

    A combo offer says, "Buy 2 shirts at Rs. 1200 each, get a third shirt free." What is the effective price per shirt?

  25. SSC CHSL • 2024

    A coat marked at ₹145 is offered at ₹ 127.6. The rate of retail discount offered is:

  26. SSC CHSL • 2025

    A and B invest ₹20,000 and ₹30,000 in a business. B receives ₹1000 more than A from the annual profit. What is the total profit?

  27. SSC CHSL • 2025

    The circumference of a circle is 132 cm. The radius of the given circle is equal to the radius of a cone having height 12 cm. Find the volume of the cone. (Take π = 22/7)

  28. SSC GD • 2023

    A person covers a certain distance by bullet train at 84 km/h and returns back to the starting point by bus at a speed of 66 km/h. Find the average speed of the person for the whole journey.

  29. SSC GD • 2019

    The table given below shows the runs scored by 4 different batsmen B1, B2, B3 and B4 in 5 different matches of a series. [Table] What is the difference in the total numberof runs scored by B1 and B4 in these 5 matches?

  30. SSC Selection Post • 2024

    If a − b = 5 and ab = 25, then the value of a³ − b³ is:

  31. SSC CGL • 2024

    AB is the chord of the circle with centre O. A line segment DOC originating from a point D on the circumference of the circle in major segment meets AB produced at C such that BC = OD. If angle BCO = 30°, then angle AOD is:

  32. SSC CGL • 2020

    If tanθ - cotθ = cosecθ, 0ᵒ √(3)cotθ + secθ) ?

  33. SSC GD • 2023

    On 10 February 2014, a train leaves Delhi at 6 a.m. and reaches Jainagar at 10 a.m. Another train leaves Jainagar at 8 a.m. and reaches Delhi at 11 : 30 a.m. At what time do the two trains cross each other?

  34. SSC CGL • 2023

    In a mixture of 55 litres, fruit juice and water are in the ratio of 4 : 1. How much water (in litres) must be added to make the mixture ratio 2 : 1?

  35. SSC CGL • 2025

    A man and a woman are together filling a tank with water. The man pours 4 liters of water every 3 minutes, while the woman pours 3 liters every 4 minutes. How much time will it take to fill 100 liters of water in the tank?

  36. SSC CGL • 2022

    If mxᵐ- nxⁿ = 0, then the value of 1 over xᵐ+xⁿ + 1 over xᵐ-xⁿ in terms of xⁿis : Where x, m, n are > 0.

  37. SSC CHSL • 2023

    The difference between the simple interest and the compound interest on a certain amount at 9% per annum for two years is 162. What is the principal?

  38. SSC GD • 2025

    What is the greatest number that will divide 175 and 385 leaving the remainders 4 and 5, respectively?

  39. SSC CGL • 2025

    An article is marked at ₹1000. A shop owner allows a discount of 20% and still gains 10%. What is the approximate cost price of the article?

  40. SSC CHSL • 2022

    A worker’s average income for a week is ₹180. He earned ₹115, ₹212, ₹170, ₹165, ₹185, and ₹225 from Monday to Saturday. Find his Sunday income.

  41. SSC CGL • 2023

    cosec 2910°+ sec 4260° + tan 2565° + cot 1755° = ?

  42. SSC CGL • 2024

    If tan(A) = 3over5 , then cos(A) is equal to:

  43. SSC CGL • 2021

    A car can cover a distance of 144 km in 1.8 hours . In what time (in hours) will it cover double the distance when its speed in increased by 20%?

  44. SSC GD • 2023

    A car covers the first 35 km in 15 minutes and the next 45 km in 25 minutes. What is the average speed of the car?

  45. SSC CHSL • 2020

    Study the following graph and answer the question based on the graph. [Image] What was the percentage decline in the production from Friday to Saturday?

  46. SSC Selection Post • 2022

    Pardeep can complete a piece of work in 16 days. He worked for 4 days and left the work, thereafter Sohan finished the remaining work in 8 days. In how many days, can Pardeep and Sohan together complete the work?

  47. SSC CHSL • 2021

    A person moved from place A for place B at 2 p.m. at a speed of 4.5 km/h, stayed at place B for 1.5 hours and returned to place A at a speed of 6 km/h. He came back to place A at 7 p.m. What is the distance between places A and B (in km)?

  48. SSC CHSL • 2025

    Ravi goes to school at a speed of 5 km/h and returns home at 3 km/h. If the total time taken is 2 hours, what is the distance between his home and school?

  49. SSC GD • 2025

    Keshav invests a sum of ₹5400 and Tushar invests a sum of ₹10200 at the same rate of simple interest per annum. If, at the end of 3 years, Tushar gets ₹360 more interest than Keshav, then find the rate of interest per annum (in percentage).

  50. SSC CHSL • 2021

    As salary increases in the ratio 8 : 11. If his new salary is Rs. 33000, then what was his original salary (in Rs.)?