Quantitative Aptitude PYQ — Page 231

24,303 questions across SSC exams.

  1. SSC Selection Post • 2022

    If a + b + c = 3, ab + bc + ca = -10 and abc = -24. then the value of a²overbc + b²overac + c²overab is:

  2. SSC CHSL • 2020

    A train, 150 m long, is running at 90 km/h. How long (in seconds) will it take to clear a platform that is 300 m long?

  3. SSC GD • 2021

    A can complete a work in 10 days and B can complete it in 15 days. If they work on it together for 5 days, then the fraction of the work left will be:

  4. SSC GD • 2019

    The bar chart given below shows the annual production (in 1000 tonnes) of coffee of a country for years 2009 to 2013. [Image] The production for the year 2011 is what percent of the production for the year 2009?

  5. SSC CGL • 2022

    If a positive number 'K' when multiplied by 30% of itself gives a number that is 170% more than the number 'k", then the number 'k' is equal to:

  6. SSC GD • 2019

    The volume of a right circular cone is 2464 cm³. If the height of cone is 12 cm, then what will be the radius of its base?

  7. SSC CHSL • 2024

    What is the average number of scooters manufactured by company Z over the given period?

  8. SSC CHSL • 2024

    In the year 2000, Monu was 3 times his sister’s age. In 2010, he was 24 years older than her. Find Monu’s age in 2010.

  9. SSC CHSL • 2023

    If (2²+ 4)²× (3 - 5) + 20% of 400 + x% of 30 = 30% of 30, find the value of x.

  10. SSC GD • 2023

    A cyclist and a jogger cover a certain distance at a certain speed. If the jogger covers one-third of the distance covered by cyclist in double of the time as that taken by the cyclist, the ratio of the speed of the jogger to that of the cyclist is:

  11. SSC Selection Post • 2024

    A shopkeeper purchased groundnuts at ₹64/kg and sells at ₹80/kg. While selling, he uses faulty weights and gives 800 g instead of 1 kg. Find his actual profit percentage.

  12. SSC MTS • 2022

    The sum of the simple interest and the compound interest on ₹ 5,600 at the same rate of interest per annum for two years is ₹ 2,061.36, when in the case of compound interest, it is compounded annually. What is the rate of interest per annum?

  13. SSC CGL • 2019

    If cos θ = 2p/(1 + p²), then tan θ is equal to:

  14. SSC CGL • 2022

    A sum of Rs. 5000 is divided into two parts such that the simple interest on the first part for 4 1/5 years at 6 2/3 % p.a. is double the simple interest on the second part for 2 3/4 years at 4% p.a. The ratio of the second part to the first part is:

  15. SSC Selection Post • 2024

    A person can paint 2.5 ft² of a wall in 5 minutes. How many ft² of the wall will he paint in 6 hours?

  16. SSC Selection Post • 2023

    The radius of the base of a solid right circular cone is 20 cm, and its height is 21 cm. What is its total surface area (in cm²)?

  17. SSC MTS • 2022

    P is increased successively by 15% and 20% to get Q. If P = 200, then what is the value of Q?

  18. SSC CGL • 2022

    The average of the three numbers is 15. The average of the second and third number is 12.5. What is the first number?

  19. SSC CGL • 2022

    In a circle with centre O, chords PR and QS meet at the point T, when produced, and PQ is a diameter. If ∠ROS = 42°, then the measure of ∠PTQ is:

  20. SSC GD • 2024

    If Rs. 70,000 is distributed among A, B, and C such that A : B = 2 : 3 and B : C = 4 : 5, then find the share of A.

  21. SSC GD • 2024

    After working for 8 days, Rakhi finds that only 10 percent of the work is completed. She employs Poonam who is 20 percent more efficient than Rakhi. How many more days will they together take to complete the remaining work?

  22. SSC CGL • 2024

    The value of 41over6 ÷25×75÷1over5 of125 is:

  23. SSC CHSL • 2025

    A metal sphere of radius 18 cm is melted and recast into n identical solid hemispheres, each of radius 6 cm. Then, find the total curved surface area of all hemispheres combined.

  24. SSC GD • 2021

    There are three numbers such that the first number is 3 times the second number and the second number is half of the third number. Their average is 60. The third number is:

  25. SSC CGL • 2023

    A's efficiency is twice that of B's. A can work only for 8 hours a day, while B can work for 12 hours a day. If A can finish a work in 12 days, in how many days can B finish the same work?

  26. SSC CGL • 2018

    The ratio of the curved surface area and total surface area of a cylinder is 2 : 5. If the total surface area is 3080 cm², then what is the volume (in cm³) of the cylinder?

  27. SSC CGL • 2020

    Solve the following expression. 5.6 - {2 + 0.6 of (2.1 - 2.6 × 1.12)}

  28. SSC CHSL • 2025

    If 'x' = 3cos A + 4sin A and 'y' = 3sin A - 4cos A, then find the value of 2(x² + y²).

  29. SSC CHSL • 2022

    By what percent the new price of the article must be increased to restore its former value, if the cost of the article is cut by 25% in the past?

  30. SSC CHSL • 2025

    A, B, and C invest ₹18000, ₹12,000, and ₹20,000 respectively for a year. What percentage of the total profit will C get?

  31. SSC CGL • 2025

    A chemist prepares 60 liters of antiseptic solution by mixing two liquids, 'A' and 'B', in the ratio 2:3. If the cost of 'A' is ₹45/liter and 'B' is ₹30/liter, what is the average cost per liter of the final solution?

  32. SSC CGL • 2025

    If sin A = x, then what is the value of tan A in terms of x?

  33. SSC CHSL • 2019

    Given that the lengths of the paths of a ball thrown with different speeds by two boys are the same. If they take 0.6 seconds and 1 second respectively to cover the said length. What is the average speed of travel for the first throw if the same for the…

  34. SSC CGL • 2018

    A right circular solid cylinder has radius of base 7 cm and height is 28 cm. It is melted to form a cuboid such that the ratio of its side is 2 : 3 : 6. What is the total surface area (in cm²) cuboid?

  35. SSC CGL • 2024

    A group of 30 students appeared in a test. The average score of 12 students is 62, and that of the rest is 62. What is the average score of the group?

  36. SSC Selection Post • 2019

    A, B and C work together. The ratio of work done by A and B together to that done by C is 13 : 3, and the ratio of work done by B and C together to that done by A is 1 : 1. Which of the three workers is the most efficient?

  37. SSC Selection Post • 2022

    In a 1400 m race, John reaches the finish point in 1 min 6 sec, while James reaches the finish point in 77 sec. By how much distance does John beat James?

  38. SSC CHSL • 2025

    A train crosses a man standing on a platform in 12 seconds and crosses the platform, which is 150 meters long, in 20 seconds. What is the length of the train?

  39. SSC CHSL • 2025

    A student scored 72 marks in a test. If this was 60% of the total, what were the maximum marks?

  40. SSC CGL • 2025

    What is the area of a sector with a central angle of 90° and radius 10 cm?

  41. SSC CGL • 2024

    A well with a radius of 14 cm is dug 23 cm deep. Find the volume of the soil removed from it.

  42. SSC Selection Post • 2022

    The material of a solid right circular cylinder is converted into the shape of a solid cone of equal radius. If the height of the cylinder was 4.5 cm, then the height of the cone is:

  43. SSC Selection Post • 2022

    A, B, and C can complete a piece of work in 741, 494, and 1482 days, respectively. Working together, they will complete the same work in how many days?

  44. SSC CGL • 2017

    From the four corners of a rectangular sheet of dimensions 25 cm × 20 cm, square of side 2 cm is cut off from four corners and a box is made. The volume of the box is?

  45. SSC CGL • 2019

    The value of 16 ÷ 4 of 4 × [3 ÷ 4 of {4 × 3 ÷ (3 + 3)}] ÷ (2 ÷ 4 of 8) is:

  46. SSC CGL • 2023

    A policeman noticed a thief from 300 m. The thief started running and the policeman was chasing him. The thief and the policeman ran at speeds of 8 km/h and 9 km/h, respectively. What was the distance between them after 3 minutes?

  47. SSC CHSL • 2020

    If cosecθ + cotθ = 2, then sinθ is:

  48. SSC GD • 2021

    By selling 40 dozen bananas for ₹1,440, a man gains 20%. In order to gain 30%, for how much should he sell 20 dozen bananas?

  49. SSC CHSL • 2025

    Train travels 60 km in 1.5 h. What is the speed?

  50. SSC CHSL • 2023

    A financial institution claims that it returns three times the principal in 25 years on a certain rate of simple interest per annum. What is the rate of simple interest?