Quantitative Aptitude PYQ — Page 242

24,303 questions across SSC exams.

  1. SSC CHSL • 2024

    The length, breadth, and height of a cuboid are in the ratio of 3 : 4 : 5. If the volume of the cuboid is 1620 m³, find the total surface area of the cuboid.

  2. SSC CGL • 2019

    An article is sold for Rs. 612 after successive discounts of 25% and x%. If the marked price of the article is Rs. 960, what is the value of x?

  3. SSC GD • 2021

    A train covers a distance of 325 km in 2(1/2) hours with a uniform speed. Find the time taken (in hours) to cover a distance of 650 kms at the same speed.

  4. SSC GD • 2021

    If 0.45 : x : : 3 : 8, then x is equal to:

  5. SSC CGL • 2019

    If x is the remainder when 3⁶¹²⁸⁴ is divided by 5 and y is the remainder when 4⁹⁶ is divided by 6, then what is the value of 2x - y?

  6. SSC MTS • 2022

    If the adjacent sides of a rectangle, whose perimeter is 66 m, are in the ratio 5 : 6, then what will be the area of the rectangle?

  7. SSC CGL • 2025

    A train travels the first 100 km at 50 km/h and the next 100 km at 25 km/h. What is the average speed for the total journey?

  8. SSC CHSL • 2025

    If tan θ + cotθ = 5, and θ is an acute angle, find the value of tan²θ + cot²θ.

  9. SSC CGL • 2022

    In a 1200 m race, bike A beats bike B by 100 m. Bike B beats bike C by 100 m in a 600 m race. If bike A beats bike C by 30 sec in a 720 m race, then what is the speed of bike C?

  10. SSC CHSL • 2024

    If Δ ABC ~ Δ QRP; area of Δ ABC : area of Δ PQR = 9 : 4; AB = 18 cm and BC = 15 cm, then find the length of PR.

  11. SSC Selection Post • 2023

    Somesh is a shopkeeper who gives two successive discounts on an umbrella marked ₹560. The first discount given is 17%. If the customer Mahesh pays ₹420 for the umbrella, then find the second discount given (correct to two places of decimals).

  12. SSC Selection Post • 2022

    By selling 80 notebooks, Amrita losses an amount equal to the selling price of 10 notebooks. What is her loss percent (to the nearest integer)?

  13. SSC GD • 2023

    The ratio of the weight of Ram, Shyam, and Mohan is 7 : 8 : 5 respectively. The average weight of Ram, Shyam, and Mohan is 80 kg. What is the average weight of Ram and Shyam?

  14. SSC GD • 2023

    The capacity of a cylindrical tank is 6,160 m³. Its base diameter is 28 m. The depth of his tank is: Take π = 22over 7

  15. SSC CHSL • 2025

    A parallelogram has sides of 22 cm and 16 cm. The angle between them is 45°. Find the exact area of the parallelogram and the height corresponding to the longer side.

  16. SSC CHSL • 2023

    If tan(90 - θ ) = 2/(sqrt3) , then the value of 2sqrt3 tan θ + 1 is:

  17. SSC GD • 2025

    What is the third proportional to 16 and 48?

  18. SSC CHSL • 2025

    A and B invest ₹30,000 and ₹50,000 respectively. After 6 months, C joins with ₹60,000. What will be the ratio of their profits at the end of the year?

  19. SSC GD • 2021

    The greatest number that will divide 398, 437, and 5425 leaving 7,12, and 2 as reminders, respectively, is

  20. SSC CGL • 2023

    In a company, a piece of work can be completed in 4, 6, and 18 days alone by R, S, and T, respectively. In how many days will the work be completed if they work together? (Rounded off to 2 decimal places)

  21. SSC GD • 2019

    A person purchases 36 articles for Rs. 360. How many articles must he sold for Rs. 360, so that the profit is 50%?

  22. SSC CHSL • 2021

    Two cars X and Y start running towards each other from two places 216 km apart. The ratio of the speeds of X and Y is 5 : 7 and the speed of X is 60 km/h. After how many minutes will X and Y meet each other?

  23. SSC CHSL • 2023

    The average age of 120 members of a society is 62.5 years. By addition of 30 new members, the average age becomes 58.2 years. What is the average age of newly joined members?

  24. SSC GD • 2021

    The value of 10/21div11/14 \ of \ 5/3-5/3times1/10+9/28div3/7 \ of \ 6/5 is:

  25. SSC Selection Post • 2023

    Anand can construct a wall in 4 days, while Rajan can complete the same work in 7 days. In how many days will Anand and Rajan construct the wall if they work together?

  26. SSC CHSL • 2024

    The population of the city was 5000000 in 2020. The population grows by 7.5% annually. The population in 2022 is __.

  27. SSC GD • 2023

    A shopkeeper listed the marked price of a table at Rs.2500. If he sold it at 20% discount and 10% additional discount, then what is the selling price of the table?

  28. SSC CGL • 2021

    Study the following table and answer the question: Percentage of marks obtained by six students in five subjects A, B, C, D & E. [Table] The total marks obtained by Amit in subjects A, B and C is what percent less than the total marks obtained by Vikram in…

  29. SSC Selection Post • 2022

    What is the volume of a hemisphere having a diameter of 16.8 cm? (Take π =22over7 )

  30. SSC CGL • 2025

    A regular right pyramid has a square base with side length 8 cm and height 15 cm. Find the slant height of one triangular face.

  31. SSC CGL • 2020

    Quadrilateral ABCD circumscribes a circle. If AB = 8 cm, BC = 7 cm and CD = 6 cm, then the length of AD is:

  32. SSC GD • 2019

    In a university, the number of students studying science, mathematics and language are in the ratio of 2:4:9. If the number of students in Science, Mathematics and Language be increased 10%, 20% and 40% respectively. What will be the new ratio ?

  33. SSC CHSL • 2022

    A family spends ₹240 per month to buy sugar. A rise of 25% in the price of sugar compels the family to reduce the monthly consumption of sugar by 1.5 kg as it decides to spend the same amount of money on purchase of the commodity. What is the increased price…

  34. SSC CHSL • 2022

    If the numerator of a fraction is increased by 50% and its denominator is diminished by 28% then, the value of the fraction is 25/36. Find the original fraction.

  35. SSC Selection Post • 2024

    A truck driver drove for 4 hours at 40 km/h. He drove for another 3 hours at 50 km/h after taking rest for 1 hour. What was the driver’s average speed, in km/h, during the whole journey?

  36. SSC GD • 2023

    A compound interest of Rs. 21,515 is received on a sum of Rs. 65,000 in a period of three years. What was the rate of interest on which the sum was being compounded annually?

  37. SSC CGL • 2025

    A circular park having a radius of 14 m. If a 3.5 m wide path is built around it, what is the area of the path? [Take π=22/7 ]

  38. SSC CGL • 2025

    Find slope of line 7x + 4y = 8

  39. SSC Selection Post • 2020

    If the 7-digit number x468y05 is divisible by 11, then the maximum value of (x + y) is:

  40. SSC CHSL • 2025

    A winch pulls a load along a slope where cot θ = 5/12. Find the value of cosec θ.

  41. SSC Selection Post • 2022

    If the perimeter of an equilateral triangle is 60 units, then its area is ____ unit².

  42. SSC CGL • 2025

    What is the slope of the line 2x + 3y = 6?

  43. SSC CGL • 2025

    A can complete a task in 12 days, B in 18 days. They work together for 3 days. What fraction of work remains?

  44. SSC GD • 2021

    A sum of ₹ 18527 is divided between A, B and C such that the ratio of the shares of A and B is 4 ∶ 7 and that of B and C is 5 ∶ 6. What is the share of A (in ₹).

  45. SSC GD • 2023

    The HCF and LCM of two natural numbers are 7 and 84, respectively. If one of the numbers is 7, then the difference between the two numbers is:

  46. SSC CGL • 2024

    In the following sets, which set represents the sides of a right-angled triangle?

  47. SSC CGL • 2016

    A rectangular water tank is 80 m x × 40 m. Water flows into it through a pipe of 40 sq.cm at the opening at a speed of 10 km/hr. The water level will rise in the tank in half an hour is

  48. SSC CHSL • 2023

    If a²+1/(a²)=7/3 , then what is the value of a³-1/(a³) ?

  49. SSC CHSL • 2020

    A batsman in his 11th inning makes a score of 77 runs, thereby increasing his average scores by 3. What is his average score after the 11th inning?

  50. SSC GD • 2023

    A shopkeeper offers a pen for free with every dozen pens. Calculate % discount offered by the shopkeeper. The price of all the pens is the same.( rounded off to one decimal place)