Quantitative Aptitude PYQ — Page 221

24,303 questions across SSC exams.

  1. SSC GD • 2023

    What is the height of a solid cylinder whose radius is 7 cm and total surface area is 1144 cm² ? (Use π =22/7)

  2. SSC CGL • 2025

    If sin θ = 8/17 , and θ lies in the second quadrant, find cos θ.

  3. SSC GD • 2025

    Fifty-four men can complete a work in 48 days. After 8 days of working, thirty-six more men joined them. How many days will they now take to complete the remaining work?

  4. SSC CHSL • 2025

    Find the volume of a pyramid whose base is an equilateral triangle having each side of length 12 cm, and a height of the pyramid 8 cm.

  5. SSC CGL • 2021

    The table shows the daily income (in Rs.) of 50 persons. Study the table and answer the question: [Table] What is the percentage of persons earning Rs. 250 or more?

  6. SSC Selection Post • 2020

    The compound interest on a certain sum for 1 year at 8% p.a., interest compounded half-yearly, is ₹652.80. What will be the simple interest on the same sum for 2 1over2 years at the same rate of interest?

  7. SSC CHSL • 2022

    Find the area of the triangle whose sides are 5 cm, 12 cm and 13 cm.

  8. SSC CGL • 2025

    A store announces a festive deal: 'Get 30% off on purchases above Rs. 10,000, and an additional Rs. 1,000 off if the total after discount exceeds Rs. 15,000.' A customer buys items worth Rs. 25,000. How much does the customer finally pay?

  9. SSC GD • 2025

    If x varies indirectly to y² and if x = 78, y = 11, then find the value of x when y = 2.2.

  10. SSC CHSL • 2024

    The following table shows the production of food grains in a country over the five years. [Table] The difference between the average production (in ten lakh tones ) of wheat and maize over the year is :

  11. SSC CHSL • 2022

    If mxᵐ - nxⁿ = 0 then what is the value of 1/(xᵐ+xⁿ)+1/(xᵐ-xⁿ) in terms of xⁿ?

  12. SSC CHSL • 2024

    Which of the following is a correct statement?

  13. SSC GD • 2025

    The smallest natural number which is divisible by 48, 72, 16 and 15 is:

  14. SSC CHSL • 2025

    The average of four numbers is 44. The average of the first and second is 40, and that of the third and fourth is 48. What is the second number if the first is 36?

  15. SSC GD • 2023

    A person driving to a store travels 100 metres in 200 seconds. Then he went to another store driving another 200 metres in 400 seconds. What is his average speed (in m/s)?

  16. SSC CGL • 2019

    The table shows the production of different types of cars (in thousands). [Table] If the data related to the production of type D cars is represented by a pie chart, then the central angle of the sector representing the production of cars in 2013 will be:

  17. SSC CHSL • 2022

    If p = 11, then the value of p(p² + 3p + 3) is:

  18. SSC CHSL • 2023

    The given expression is equal to: (2 secA)/(sec²A-1)

  19. SSC CHSL • 2020

    Ravi leave for his school from his house on his cycle at 8:20 a.m. If he run his cycle at a speed of 10 km/h, he reaches his school 8 minutes late, and if he drives the cycle at a speed of 16 km/h, he reaches his school 10 minutes early. Find the time at…

  20. SSC Selection Post • 2022

    The length (in m) of the longest pole that can be fitted in a room of dimensions 24 m × 12 m × 3 m is:-

  21. SSC GD • 2021

    Three candidates A, B and C contested an election and received 1800, 3300, 3900 votes, respectively. What percentage of the total votes did B get (correct to two decimal places), assuming no vote was invalid?

  22. SSC CHSL • 2023

    If αsin45° = βcosec30° , then α⁴/β⁴ is :

  23. SSC CGL • 2023

    If (5y+5/y)=11 , then find the value of (y²+1/(y²)) .

  24. SSC CHSL • 2025

    Two investors, A and B, invest in the Business in the ratio of 4:5. If the share of B is Rs 1000 in profit. Find the total profit.

  25. SSC GD • 2023

    In a panchayat election, an independent candidate got 28% of the total votes polled and was declared the winner. The rest of the votes were equally divided among the candidates of three national parties. If the total votes polled were 1200, how many votes…

  26. SSC CHSL • 2019

    If [1/(1 + cosec θ) - 1/(1 - cosecθ)]cosθ = 2, 0° Sin²θ + cot²θ + sec²θ is:

  27. SSC CHSL • 2020

    A player has a certain average for 15 innings. In the 16^(th) inning he scores 120, thereby his average increases by 6 runs. What is the new average?

  28. SSC GD • 2021

    Out of six persons A, B, C, D, E and F, the average of first five numbers A, B, C, D and E is greater than the average of last five numbers B, C, D, E and F by 26. The difference between A and F is:

  29. SSC GD • 2024

    The product of the two numbers is 4107. If the HCF of these numbers is 37, then find the L.C.M.

  30. SSC CHSL • 2022

    Ram is travelling at a speed of 72 km per hour while Shyam is travelling at a speed of 90 km per hour. What is the difference in their speeds (in metres per second)?

  31. SSC CHSL • 2024

    If price of an article increases successively by 15% and 10%, respectively, then what is the percentage equivalent to a single price increase of that article?

  32. SSC CGL • 2022

    Three partners shared the profit in a business in the proportion of 9 : 8 : 11. They invested their capital for 4 months, 6 months, and 18 months, respectively. What is the ratio of their capitals?

  33. SSC GD • 2026

    The marked price of an article is 80 percent more than its cost price. If 40 percent discount is given on the marked price, then what will be the profit percentage?

  34. SSC Selection Post • 2022

    A person travels equal distances at speeds of 3 km/h, 4 km/h, 7 km/h, and 12 km/h, and takes a total of 680 minutes. What is the total distance (in km) travelled?

  35. SSC GD • 2024

    The compound interest (compounding half yearly) received on Rs. 1000 for 2 years is Rs. 464.1 What is the rate of interest per annum?

  36. SSC CHSL • 2023

    A solid cuboid is melted to form a number of cubes. If the length, breadth and height of a cuboid are 20 cm, 16 cm and 8 cm, and the edge of each cube is 4 cm, then the number of cubes is:

  37. SSC CGL • 2020

    In the given figure, Cosθ is equal to: [Image]

  38. SSC CGL • 2023

    A works 3.5 times as fast as B, and A takes 45 days less than B to complete a job when each works alone. Calculate the number of days taken to complete the same job if A and B work together.

  39. SSC CHSL • 2024

    A seven-digit number 489y5z6 is divisible by 72. Which of the options gives the highest possible product of y and z?

  40. SSC CGL • 2024

    Simplify: 11over3+13over4times12over3 ÷ 31over2

  41. SSC CHSL • 2025

    The length, breadth, and height of a rectangular parallelepiped are in the ratio 2 : 3 : 4. If the total length of all edges is 108 cm, what is the volume of the parallelepiped?

  42. SSC CHSL • 2023

    The distance between two parallel chords of length 6 cm each, in a circle of diameter 10 cm is:

  43. SSC CGL • 2022

    In ∆ABC, D is a point on side BC such that ∠ADC = ∠BAC. If CA = 15cm and CD = 9cm, then CB (in cm) =?

  44. SSC GD • 2025

    To finish a work in 8 days, 10 men are required, or 15 women are required. If 'x' men and 'y' women are required to finish the work in 12 days, then which of the following equations is correct?

  45. SSC GD • 2024

    If 35 percent of P = 60 percent of Q and Q is (z/3) percent of P, then what is the value of z?

  46. SSC GD • 2019

    Anu sells an article at a profit of 25%. If she had bought it at 25% less and sold it for Rs. 30.25 less she would have gained 30%. What is the original price (in Rs) of the article?

  47. SSC CHSL • 2021

    If tan θ = 15, then what is the value of sec θ

  48. SSC CHSL • 2023

    Ram purchases two watches for Rs. 3,500. By selling one watch at a profit of 25% and the other at a loss of 10%, he neither earns a profit nor suffers a loss in the whole transaction. What is the cost price of each watch?

  49. SSC CHSL • 2024

    A vendor sells his goods using weights 19% less than true weights and makes a profit of 35%. His net gain percentage (rounded off to 2 decimal places) is:

  50. SSC GD • 2023

    Anil and Bablu can do a given piece of work in 50 days, Bablu and Candy can do the same work in 60 days, and Anil, Bablu, and Candy complete it in 30 days. Find the number of days required by Bablu to finish the total work.