SarkariPYQ

Quantitative Aptitude PYQ — Page 259

24,303 questions across SSC exams.

  1. SSC CHSL • 2025

    A prototype engineer models a container as a cube and a cylinder, both with the same height and the cylinder's radius being half the cube's side. What is the ratio of their volumes?

  2. SSC Selection Post • 2020

    The length, breadth, and height of a rectangular box are in the ratio of 3 : 2 : 4 respectively, and the cost of covering it with a sheet of paper at the rate of ₹1.50 per square metre is ₹1,950. Find the volume of the box.

  3. SSC CHSL • 2025

    The ratio of the length and breadth of a rectangle is 6:5, respectively. It is made from a circular loop of a wire having a radius of 14 cm. Find the sum of the length of the rectangle and the diameter of the loop.

  4. SSC CHSL • 2022

    The average age of a group is increased by 6 years when a person whose age is 24 years is replaced by a person whose age is 66. Find the number of persons in the group.

  5. SSC CGL • 2022

    The following histogram shows the marks scored by 40 students in a test of 30 marks. A student has to score a minimum of 10 marks to pass the test. What is the percentage of students who scored 20 or more marks? (correct to one decimal place) [Image]

  6. SSC CHSL • 2024

    The diameter of a roller is 35 cm and its length is 100 cm. It takes 200 complete revolutions to level a playground. Find the area of the playground in m²

  7. SSC CHSL • 2025

    A, B, and C enter into a partnership. A invests Rs. 4,000 at the start. B invests Rs. 6,000 after 4 months. C invests Rs. 8,000 after 8 months. If the total profit at the end of the year is Rs. 1,650, what is the share of C?

  8. SSC CGL • 2024

    Aman borrows a sum of ₹192208 at the rate of 15% per annum simple interest. At the end of the first year, he repays ₹20196 towards return of principal amount borrowed. If Aman clears all pending dues at the end of the second year, including interest payment…

  9. SSC Selection Post • 2023

    A reduction of 15% in the price of washing powder enables a purchaser to obtain 5 kg more for Rs.1,275. The original price of the washing powder per kg is:

  10. SSC CGL • 2025

    A hemisphere and a cone share the same base and have equal volumes. Given that their common radius is R, determine the height of the cone.

  11. SSC CGL • 2024

    What was the percentage increase in the sale of Helmets C in 2002 as compared to that in 1999?

  12. SSC CHSL • 2023

    A person invested a certain amount at a rate of 12% simple interest and another amount at a rate of 10% simple interest. He received an annual interest of Rs 130. However, if he had interchanged the amounts invested, he would have received Rs 4 more as…

  13. SSC GD • 2021

    A trader sells n item for ₹ 805 after offering a discount of 12.5% on it marked price. Had he not offered the discount, he would have earned a profit of 15%. What is the cost (in ₹) of the item?

  14. SSC CPO • 2025

    A and B together can complete a railway sleeper alignment in 10 days. B alone can do it in 15 days. In how many days can A alone complete the work?

  15. SSC CHSL • 2021

    The simple interest on a certain sum for 3 years at 12% p.a. is Rs 6,750. What is the compound interest (in Rs) on the same sum for 2 years at 20% p.a., if interest is compounded half-yearly? (rounded off to the nearest Rs)

  16. SSC CGL • 2018

    A prism has equilateral triangle as its base. Side of the triangle is 15 cm. Height of the prism is 20√3 cm. What is the volume (in cm³ ) of the prism?

  17. SSC CGL • 2019

    Alloy A contains copper and zinc in the ratio of 4 : 3 and alloy B contains copper and zinc in the ratio 5 : 2. A and B are taken in the ratio of 5 : 6 and melted to form a new alloy. The percentage of zinc in the alloy is closet to ?

  18. SSC CHSL • 2025

    ABC is a triangle where AB = 12 cm and AC = 18 cm. 'D' is a point on BC such that BD = CD. If the perimeter of the triangle is 48 cm, then find the length of AD.

  19. SSC CGL • 2024

    From a point T, a tangent TP at point P is drawn to a circle with centre O. A secant TQR (point Q is near to point T) is drawn from point T. ∆PQR is inscribed into the circle by joining the points P, Q, and R. Draw lines OQ and OR. If ∠PTQ = 27° and ∠TPQ =…

  20. SSC CGL • 2021

    The speed of a motorboat in still water is 20 km/h. It travels 150 km downstream and then returns to the starting point. If the round trip takes a total of 16 hours, what is the speed (in km/h ) of the flow of the river?

  21. SSC Selection Post • 2019

    If a over b = c over d = e over f = 3 over 4 What is the value of a + c + e over b + d+f ?

  22. SSC CHSL • 2020

    If L is the circumcentre of Δ XYZ and angle X is 40ᵒ, then the value of ∠YZL is:

  23. SSC CGL • 2020

    By what number must the given number be multiplied to increase the number by 25%.

  24. SSC CGL • 2023

    Pipe A can fill a tank in 12 minutes; pipe B can fill it in 18 minutes, and pipe C can empty the full tank in 36 minutes. If all the pipes are opened simultaneously, how much time will it take to fill the empty tank completely?

  25. SSC CGL • 2022

    The ratio of the speeds of two trains is 2 : 7. If the first train runs 250 km in 5 hours, then the sum of the speeds (in km/h) of both the trains is:

  26. SSC CGL • 2025

    A wholesaler buys a batch of ceiling fans at a 60% markup over the factory's base cost C. He then allows a 25% trade discount to the retailer. The retailer applies a 30% markup on his cost and offers a flat 15% discount to customers on the printed price. If…

  27. SSC CGL • 2022

    Study the given histogram that shows the marks obtained by students in an examination and answer the question that follows. [Image] What percentage of the total number of students scored between 500 and 600 marks?

  28. SSC CGL • 2023

    If x - 1/x = - 6, what will be the value of x⁵ - 1/(x⁵) ?

  29. SSC CGL • 2023

    Susan can type 12 pages in 6 minutes. Mary can type 6 pages in 12 minutes. Working together, how many pages can they type in 32 minutes?

  30. SSC CHSL • 2024

    If lateral surface area of a cube is 144 cm², then find its volume.

  31. SSC CHSL • 2020

    An oil merchant wants to make a minimum profit of Rs.2,100 by selling 50 litres of oil he purchased at Rs.236 per litre. For this he adds a few litres of duplicate oil whose cost price is Rs.180 per litre and sells at Rs.250 per litre. How many litres of…

  32. SSC Selection Post • 2024

    Find the least value digit which is assigned to * so that the number 1972*471 is divisible by 9.

  33. SSC CGL • 2024

    Pranav borrows a sum of ₹6,23,305 at the rate of 10% per annum simple interest. At the end of the first year, he repays ₹16,390 towards return of principal amount borrowed. If Pranav clears all pending dues at the end of the second year, including interest…

  34. SSC CGL • 2024

    If cot⁴Φ − cot²Φ = 1, then the value of cos⁴Φ + cos²Φ is:

  35. SSC CHSL • 2023

    The largest chord of the circle is:

  36. SSC CGL • 2023

    In triangle ABC, D is the mid-point of BC and G is the centroid. If GD = 10 cm, then the length of AD is:

  37. SSC Selection Post • 2022

    In a hotel, a ration is available for 148 persons for 51 days. If 37 persons left the hotel, then for how many days will the remaining ration last?

  38. SSC CHSL • 2025

    A can complete a task in 10 days and, B can finish a task in 15 days respectively. A starts the work and works for 4 days, after which B joins A. How many more days will they take to complete the task?

  39. SSC CGL • 2021

    The average of squares of five consecutive odd natural numbers is 233. What is the average of the largest number and the smallest number?

  40. SSC CHSL • 2025

    A circle is inscribed in ΔABC, touching AB, BC and AC at the points P, Q and R, respectively. If AB - BC = 4 cm, AB - AC = 2 cm and the perimeter of ΔABC = 36 cm, then PB + AR (in cm) is:

  41. SSC CHSL • 2023

    Simplify the given equation. cot³ A-1over cot A-1=?

  42. SSC CHSL • 2025

    A can do a work in 18 days, B in 27 days. They start together, but after 6 days A leaves. In how many more days will B finish the remaining work?

  43. SSC Selection Post • 2020

    If x ² - 3sqrt2 x + 1 = 0 , then the value of x ³ + 1/(x ³) is:

  44. SSC CGL • 2020

    The average of the first four numbers is three times the fifth number. If the average of all the five numbers is 85.8, then the fifth number is:

  45. SSC CGL • 2025

    A tower generates a shadow that is 40 meters long when the sun's angle of elevation is 45°. What is the height of the tower?

  46. SSC Selection Post • 2023

    Medha covers 81 km at a speed of 27 km/h by bike, 12 km at a speed of 6 km/h by bicycle, and another 270 km at a speed of 45 km/h by car. Find her average speed for the whole journey.

  47. SSC CGL • 2025

    The area of a sector of a circle with radius 4 cm and central angle 45ᵒ is:

  48. SSC CHSL • 2022

    Taking π = 3.14, find the volume of a cylinder having its radius of base as 5 cm and its height as 24 cm.

  49. SSC CGL • 2019

    If 0° < θ < 90° and cos²θ = 3 (cot² θ - cos² θ) then the value of (1/2 × secθ + sinθ)⁻¹is:

  50. SSC CGL • 2021

    AB is a diameter of circle. C and D are points on the opposite sides of the diameter AB, such that ∠ACD = 25°. E is a point on the minor arc BD, Find the measures of ∠ BED (in degree).