Quantitative Aptitude PYQ — Page 275

24,303 questions across SSC exams.

  1. SSC CHSL • 2022

    A manufacturer sells an item to a wholesale dealer at a profit of 11%. The wholesaler sells the same to a retailer at a profit of 15%. The retailer in turn sells it to a customer for ₹17,045, thereby earning a profit of 19%. The cost price of the…

  2. SSC MTS • 2019

    If the volumes of two cubes are in the ratio of 64 : 125, then what is the ratio of their total surface areas?

  3. SSC CHSL • 2020

    If [Image] , then the value of √(a + 9) is:

  4. SSC CGL • 2021

    If x² + 9y² + 4z² = 12 (x - 2y - 2z) - 88, then the value of (x - 3y + z) is ) is:

  5. SSC CGL • 2022

    What is the value of 100²-99²+98²-97²+96²-95²+94²-93²....12²-11²?

  6. SSC CHSL • 2021

    If 4sqrt3x²+5x-2sqrt3=(Ax+2)(Bx+C), , then what is the value of (A + B + C)? (A > 0)

  7. SSC CHSL • 2024

    The sum of the present ages of a father and son is 50 years. If after 5 years, the father’s age will be 5 times the age of the son, then what was the father’s age 5 years ago?

  8. SSC CGL • 2018

    The sum of radius of the two circles is 91 cm and the difference between their areas is 2002 cm². What is the radius (in cm) of the larger circle?

  9. SSC CHSL • 2024

    Which of the following numbers is divisible by 22?

  10. SSC GD • 2021

    The value of 36div18 \ of \ 3times2+8div4 \ of \ 2times5-5div10times2 is:

  11. SSC Selection Post • 2022

    If (x + y) = 17, xy = 9, then what is the value of x³+ y³?

  12. SSC CGL • 2022

    Three cubes of equal volume are joined end to end. Find the surface area of the resulting cuboid if the diagonal of the cube is 6√(3 ) cm

  13. SSC Selection Post • 2022

    Study the given pie chart and answer the question that follows. The pie chart shows the distribution (degree-wise) of the students who appeared in the annual examination from institutes P, Q, R, S, and T in 2020. The total number of students who appeared is…

  14. SSC CGL • 2022

    A dishonest trader says to customers that he sells his goods at a cost price, but he uses a false weight and gains 12.5% as profit. How many grams does he use to weigh 1 kg?

  15. SSC CHSL • 2023

    A tangent at point A of a circle of radius 6 cm meets a line through the centre O at point B. If OB = 10 cm, then the length of AB (in cm) is equal to:

  16. SSC Selection Post • 2024

    If 8 tan A = 5, what is the value of 8sinA -7cosA over 8sinA+11cosA?

  17. SSC CHSL • 2019

    The ratio of the combined target production of AC Machines In January and April to that of the combined actual production of AC Machine in March and April was:

  18. SSC CGL • 2025

    A prism has a base perimeter of 30 cm and height 7 cm. If its total surface area is 282 cm², what is the area of both bases combined?

  19. SSC CGL • 2024

    A merchant has 1000 kg of sugar, part of which he sells at a 10% profit and the rest at a 40% profit. He gains 20% on the whole. The quantity sold at 40% profit is:

  20. SSC MTS • 2019

    The length and the breadth of a rectangle are 15 cm and 12 cm respectively. If the rectangle is given one full rotation about its breadth as the axis, What is the volume (in cm³) through which the rectangle moves?

  21. SSC CGL • 2023

    A thief is noticed by a policeman from a distance of 200 m. The thief starts running as soon as he is noticed, and the policeman chases him simultaneously. The thief and the policeman run at the speeds of 10 km/h and 11 km/h, respectively. What is the…

  22. SSC CHSL • 2019

    The average income (per year) of the company in five years is what percentage more than its expenditure in 2015?

  23. SSC CGL • 2020

    If A lies in the first quadrant and 6tanA = 5, then the value of [Image] is:

  24. SSC CGL • 2023

    The lateral area of a cylinder is 3168 cm² and its height is 48 cm. Find the volume.

  25. SSC Selection Post • 2022

    At a particular time, the length of the shadows of a pole and that of a tower are, respectively, 12 m and 27 m. If the height of the pole is 24 m, what is the height (in m) of the tower?

  26. SSC CGL • 2025

    If sinθ = cosθ, what is the value of θ (in degrees)?

  27. SSC CHSL • 2024

    There are 12 workers in an office and the average age of all workers is 351/2 years. A new worker joins the office, the average becomes 37 years. The current age of the newly joined worker is:

  28. SSC CHSL • 2025

    Aman distributed 80% of his total money between Kavya and Aryan in the ratio 3 : 5. Kavya invested her share at 9% p.a. and Aryan at 6% p.a. simple interest for 6 years. If the difference in the interest earned by Aryan and Kavya is Rs. 2,592, then what is…

  29. SSC CHSL • 2019

    A certain amount invested at a certain rate, compounded annually, grows to an amount in five years, which is a factor of 1.1881 more than to what it would have grown in three years. What is the rate percentage?

  30. SSC CGL • 2021

    A certain sum is divided among A,B ,C and D such that the ratio of the shares is A : B : C : D = 4 : 12 : 30 : 45 . If the difference between the shares of A and D is Rs5.535, then the total sum ( in Rs ) is :

  31. SSC Selection Post • 2024

    A tradesman marked his goods at 26% above their cost price and then allowed a discount of 13%. His gain (in %) is:

  32. SSC Selection Post • 2020

    If x = 3 + √8, find the value of x³ + 1/(x³)

  33. SSC CHSL • 2025

    A circular sprinkler is placed inside a triangular garden with sides 13 m, 14 m, and 15 m. What is the radius of the sprinkler if it touches all three sides of the triangle?

  34. SSC Selection Post • 2022

    In a test consisting of 80 questions, Anita answered 60% of the first 55 questions correctly. What percentage of the remaining questions should she answer correctly to obtain 70% in the entire exam?

  35. SSC CHSL • 2025

    If x = √10 + √3 and y = √10 - √3, then find x² + y².

  36. SSC CHSL • 2023

    The marked price of a saree is 23,800 and it is available for 23,230. What is the rate of discount?

  37. SSC GD • 2021

    During a flight of 900 km an aircraft was slowed down due to bad weather. Its average speed for the trip was reduced by 300 km/h and the time of flight increased by 30 minutes. The original duration of the flight was:

  38. SSC CHSL • 2021

    If x² - 5√2x - 1 = 0, then what will be the value of x³-1/(x²)

  39. SSC CGL • 2019

    The areas of the three adjacent faces of a cuboid are 32 cm², 24 cm²and 48 cm². What is the volume of the cuboid?

  40. SSC CGL • 2023

    if (2a-5)/a-(4b-5)/b+(6c+5)/c=0 , what is the value of (1/a-1/b-1/c) ?

  41. SSC CHSL • 2025

    A shopkeeper provides two consecutive discounts of 20% and 10% on an item. Calculate the single discount rate that is equivalent to these successive discounts.

  42. SSC GD • 2021

    A retailer gains 18% after allowing 12% discount on the cost price. If the cost price is Rs. 16500, then what is the selling price?

  43. SSC CHSL • 2024

    The given pie-diagram shows the expenditure incurred on the preparation of a book by a publisher, under various heads. Study the pie-diagram and answer the question that follows. [Image] Various Expenditures (in percentage) incurred in Publishing a Book What…

  44. SSC CGL • 2022

    Find the value of √(())/(1+ cos θ)1-cosθ + √(())/(1- cos θ)1+cosθ

  45. SSC Selection Post • 2023

    A merchant purchases a smartwatch for ₹1,800 and fixes its list price in such a way that, after allowing a discount of 10%, he earns a profit of 22%. The list price of the smartwatch (in ₹) is:

  46. SSC GD • 2019

    The salaries of Ravi and Sumit are in the ratio 2 : 3. If the salary of each is increased by Rs. 3000, the new ratio becomes 35 : 50. What is Sumit's new salary?

  47. SSC CGL • 2021

    A boat goes 30 km upstream in 3 hours and downstream in 1 hour. How much time (in hours) will this boat take to cover 60 km in still water?

  48. SSC CHSL • 2023

    The marked price of an article is 20% more than its cost price. What maximum discount percentage can be offered by the shopkeeper to sell his article so that there is no loss?

  49. SSC MTS • 2022

    The population of a town increases by 8% every year. If the present population of the town is 14,580, then what was the population of the town 2 years ago?

  50. SSC CGL • 2017

    A solid brass sphere of radius 2.1 dm is converted into a right circular cylindrical rod of length 7cm. The ratio of total surface areas of the rod to the sphere is