Quantitative Aptitude PYQ — Page 391

24,303 questions across SSC exams.

  1. SSC GD • 2019

    A sum of Rs. 9800 gives simple interest of Rs. 4704 in 6 years. What will be the rate of interest per annum?

  2. SSC CHSL • 2022

    5 kg of Rs.18 per kg wheat is mixed with 2 kg of another type of wheat to get a mixture costing Rs.20 per kg. Find the price (per kg) of the costlier wheat.

  3. SSC CGL • 2023

    If (a + b + c) = 12, and (a²+ b²+ c²) = 50, find the value of (a³ + b³ + c³- 3abc).

  4. SSC GD • 2021

    If the number 6523678pq is divisible by 99, the missing digits p and q are:

  5. SSC CGL • 2022

    The area of similar triangles PQR and MNT are 196 cm² and 169 cm² respectively. If the longest side of the larger ∆PQR be 28 cm then what is the length (in cm) of the longest side of the smaller ∆MNT?

  6. SSC CHSL • 2020

    The perimeter of a rectangle is 50 cm. Its area and length are in the ratio of 5 : 1. Find the length of the rectangle.

  7. SSC CGL • 2025

    A 30-litre container of pure milk undergoes a 6-litre removal and 6-litre water replacement process, repeated 4 times. Approximately how much original milk remains?

  8. SSC CGL • 2025

    If 60% of a number is 1.2 more than 40% of it, what is the number?

  9. SSC CHSL • 2025

    If a + b = √17 and a - b = √1, find (a² + b²) / (ab).

  10. SSC CHSL • 2023

    Upon selling an article at 3/7 of the marked price, a loss of 30% is incurred. What is the ratio between the marked price and the cost price of the article?

  11. SSC CGL • 2016

    If a² + b² + c² = 16, x² + y² + z² = 25 and ax + by + cz = 20, then the value of [Image]

  12. SSC Selection Post • 2024

    The fourth proportional of 64, 80 and 88 is:

  13. SSC CGL • 2023

    Study the given pie chart carefully and answer the following question. What is the difference between the funds (in Rs.) acquired by the school from donations and those from government agencies? [Image]

  14. SSC MTS • 2022

    What is the LCM of the fractions (2/3), (8/15) and (4/27) ?

  15. SSC CHSL • 2025

    The simple interest on a certain sum of money for 2 years at 6% per annum is ₹1,200. What is the sum of money?

  16. SSC CHSL • 2023

    The diameter of a circle is 20 cm. The length of a chord AB is 10 cm. What will be the angle made by this chord at the center of this circle?

  17. SSC CHSL • 2024

    8 apples and 10 oranges weigh 5 kg. 12 apples and 20 oranges weigh 9 kg. What is the weight (in kg, rounded off to the nearest integer) of 15 apples and 24 oranges?

  18. SSC CHSL • 2025

    A is 20 percent more than B. B is 30 percent more than C. C is 10 percent less than D. D is 30 percent less than E. By how much percentage is A more/less than E?

  19. SSC GD • 2021

    A shopkeeper purchased some material for ₹ 800 industrial, of which 40% was sold at a loss of 10%. To obtain a gain of 12%, the percentage profit on the remaining goods must be: .

  20. SSC CHSL • 2024

    The hypotenuse of a right triangle is 6m more than twice the shortest side. If the third side is 2 m less than the hypotenuse, find the area (in m²) of the triangle.

  21. SSC CGL • 2021

    A certain sum amounts to Rs 291600 in 2 Years and to Rs 314928 in 3 years on compound interest compounded annually. How much will be the simple interest (In Rs) on Rs 40000 at the same rate for 2 years?

  22. SSC Selection Post • 2022

    If the 7-digit number 612x97y is divisible by 72, and the 6-digit number 34z178 is divisible by 11, then the value of (x - 2y + 3z) is:

  23. SSC GD • 2019

    The average age of 50 teachers of a school is 66 years and the average age of 60 teachers of another school is 55 years. What will be average age of teachers of both the schools together?

  24. SSC CGL • 2024

    Two pipes, A and B, can fill a tank in 20 hours and 30 hours, respectively. Both pipes are opened to fill the tank, but when the tank is one-third full, a leak develops through which one-fourth of the water supplied by both pipes goes out. Find the total…

  25. SSC CHSL • 2023

    Find the fourth proportion of the numbers 1/3 rd of 15, 4/5 th of 25, 3/7 th of 35.

  26. SSC CHSL • 2019

    The average number of type A, B and D vehicles exported in 2015 was x% less than the number of type E vehicles exported in 2014. What is the value of x?

  27. SSC CHSL • 2025

    (√11 + 2) × (√11 - 2) = ?

  28. SSC CGL • 2020

    If 16a⁴ + 36a²b² + 81b⁴ = 91 and 4a² + 9b² - 6ab = 13, then what is the value of 3ab?

  29. SSC CGL • 2024

    The radius of a circle is 12.5 cm and the length of one its chords is 11 cm. What is the distance of the chord from the centre? (correct to one decimal place)

  30. SSC Selection Post • 2022

    Sudhir runs a certain distance at a speed of 13km/h for 7 minutes. He again walks for 7 minutes at a speed of 3 km/h. What is his average speed for the whole journey?

  31. SSC CHSL • 2020

    The printed price of a book is Rs.150. If it is sold after two successive discounts of 30% and 40%, then find its selling price.

  32. SSC CGL • 2024

    The pie chart below shows the expenditures (in ₹lakh) of a country on various sports during a particular year. Study the graph carefully and answer the question given below it. [Image] What is the average expenditure (in ₹lakh) on tennis, golf, swimming, and…

  33. SSC CGL • 2023

    The value of √(())/(1+cosθ)1-cosθ is:

  34. SSC MTS • 2019

    What is the area of a triangle whose sides are 7 cm, 24 cm and 25 cm?

  35. SSC CHSL • 2023

    If secθ = 24/23 , find the value of tan²θ .

  36. SSC CHSL • 2025

    If the angle subtended by a chord AC at the center O is 120° and the length of the chord AC is 10√3 cm, what is the radius of the circle?

  37. SSC CGL • 2025

    A and B invest ₹50,000 and ₹70,000, respectively, in a business. After 1 year, the total profit is distributed, including simple interest a 10% per annum on the capital of each partner. If the total profit, including interest, is ₹18,000, what is A's share…

  38. SSC Selection Post • 2020

    If x + y + z = 5, x² + y² + z² = 21 and y² = zx, then the value of y is:

  39. SSC Selection Post • 2024

    Manish invested a certain sum of money at 10% per annum simple interest. If he receives an interest of ₹72780 after 1 year, the sum (in ₹) he invested is:

  40. SSC CGL • 2020

    A and B together borrowed a sum of Rs.51,750 at an interest rate of 7%p.a. compound interest in such a way that to settle the loan, A paid as much amount after three years as paid by B after 4 years from the day of borrowing. The sum (in Rs) borrowed by B was:

  41. SSC CGL • 2021

    A chord AB of circle C₁ of radius 17 cm touches circle C₂ which is concentric to C₁. The radius of C₂is 8 cm. What is the length (in cm) of AB?

  42. SSC CGL • 2019

    The production of cars of type A in 2015 and of type C in 2013 taken together is approximately what percent of the total production of cars of type D in five years?

  43. SSC CGL • 2022

    In ∆ABC, AB = 7cm, BC = 10cm, and AC = 8cm. If AD is the angle bisector of ∠BAC, where D is a point on BC, then DC/4 (in cm) is equal to:

  44. SSC CGL • 2025

    Simplify: (5/6 + 3/4) ÷ (7/8-1/3)

  45. SSC CHSL • 2020

    Ramu works 4 times as fast as Somu. If Somu can complete a work in 20 days independently, then the number of days in which Ramu and Somu together can complete the work is:

  46. SSC CGL • 2024

    Which of the following is the sum of the values of a and b if the equations 2x + y = a, 8x + by = 12 have infinite solutions?

  47. SSC CHSL • 2025

    Simple interest on a sum for 6 years is equal to 40 percent of the principal. In how many years interest will be equal to the principal?

  48. SSC CHSL • 2024

    A shopkeeper bought 288 oranges for Rs. 115.20. He sold 50 of them at 70 paise each and the remaining sold at Rs. 46.20. Find his profit or loss.

  49. SSC Selection Post • 2022

    The CP of an article is Rs.7,000. By selling it, a person gains 10%. How much should the person sell it for to get a gain of Rs.50 more?

  50. SSC CGL • 2025

    The volume of a sphere is 144π cm³. If the radius of the sphere is doubled, by what percentage does the volume increase?