Quantitative Aptitude PYQ — Page 370

24,303 questions across SSC exams.

  1. SSC Selection Post • 2022

    A is 40% more efficient than B. If B finishes a work in 14 days, then in how many days will A finish the same work?

  2. SSC CGL • 2024

    If 3 tan A = 4 and A is an acute angle, then the value of 4sinA + 3cosA is :

  3. SSC CHSL • 2024

    If θ is an acute angle and tan θ + cot θ = 2, then find the value of tan³ θ + cot³ θ + 6 tan³ θ cot² θ.

  4. SSC CHSL • 2024

    The simple interest on the sum for 12 years is three-fifth of the sum. The rate of interest per annum is:

  5. SSC CHSL • 2023

    Jitin's age 3 years from now will be double the average of Jitin's current age and his age 8 years ago. What was Jitin's age 5 years ago?

  6. SSC CHSL • 2023

    A solid rectangular block of metal of dimensions 88 cm × 21 cm × 21 cm is melted to form a solid sphere. What is its radius (in cm)? (Take π = 22/7 )

  7. SSC CGL • 2019

    If θ ≠ 45°, ( (sinθ - 2sin³θ)/(2cos³θ - cos³θ) )² + 1 is equal to:

  8. SSC CHSL • 2025

    A rectangular tile having a perimeter of 224 cm has been used to pave a floor of length and breadth 25.6 m and 14.4 m, respectively. If the ratio of length to breadth of each tile is 4:3, then find the number of tiles required to pave the floor completely.

  9. SSC Selection Post • 2022

    If the eight-digit number 9534x37y is divisible by 24, then what is the value of (3x + y), for the largest value of x?

  10. SSC CGL • 2023

    In a factory, a piece of work is completed by Raima in 15 days while John can finish it in 10 days. The factory manager has to complete the work as soon as possible so he orders John and Raima to work together. How many days will it take to complete the work?

  11. SSC Selection Post • 2020

    A person travelled the first half of the distance from her house to her office at 24 km/h, exactly half of the remaining distance at 20 km/h, and the rest at 15 km/h. Her average speed (km/h) in the entire journey was:

  12. SSC CGL • 2025

    Given, x + 1over x = 4 find the value of x⁶ + 1over x⁶ - 3(x⁴ + 1over x⁴) + 4(x² + 1over x²)

  13. SSC CGL • 2024

    If the successive discount by 10%,15%, then the single equivalent rate of discount is:

  14. SSC CGL • 2025

    A runner completes 7.2 km in 48 minutes. What is his speed in km/h?

  15. SSC CGL • 2022

    In a College, the number of students with different majors are as follows. [Table] Find the average number of students in each subject.

  16. SSC CHSL • 2019

    Amit travelled from A to B at an average speed of 80 km/h. He travelled the first 75% of the distance in two-third of the time and the rest at a constant speed of x km/h. The value of x is:

  17. SSC CHSL • 2025

    In a class of 50 students, the marks of 49 students are given, and their average marks are 70. The teacher then added the marks of the 50th student, and the new average became 71. What were the marks of the 50th student?

  18. SSC CHSL • 2022

    The average weight of A, B and C is 65 kg. If the average weight of A and B is 62 kg and that of B and C is 66 kg, then the weight (in kg) of B is:

  19. SSC CHSL • 2024

    O is the center and the arc PQR subtends an angle of 240° at O. PQ is extended to A. Then ∠AQR is:

  20. SSC CGL • 2024

    If the curved surface area of a cylinder is 880 cm² , then the product of its height and radius is:

  21. SSC CGL • 2020

    Alloy A contains metals x and y only in the ratio 5 : 2 and alloy B contains these metals in the ratio 3 : 4 alloy C is prepared by mixing A and B in the ratio 4 : 5. The percentage of x in alloy C is:

  22. SSC CGL • 2025

    The average age of a committee of 9 members increases by 3 years when two men aged 42 and 44 years are replaced by two women. What is the average age of these two women?

  23. SSC CGL • 2022

    Ram travelled from a place Z to P at an average speed of 130 km/h. He travelled the first 75% of the distance in two-third of the time and the rest at an average speed of X km/h.The value of x/2 is:

  24. SSC CHSL • 2023

    Find the distance (in cm) between the centres of two circles having radii of 40 cm and 30 cm, respectively, if the length of a/an transverse/indirect common tangent to the two circles is given as 10 sqrt15 cm.

  25. SSC CGL • 2022

    Study the given bar graph and answer the questions that follows. The bar graph shows the exports of cars type A and B (in Rs millions) from 2014 to 2018. [Image] What is the ratio of the total exports of cars of type A in 2016 and 2018 to the total exports…

  26. SSC CHSL • 2024

    A retailer gets a discount of 40% on the printed price of an article. If the retailer sells it at the printed price, then his gain percentage is:

  27. SSC CGL • 2019

    The average of twelve numbers is 42. The average of the last five numbers is 40, and that of the first four numbers is 44. The 6th number is 6 less than the fifth and 5 less than the 7th number. The average of the 5th and the 7th numbers is:

  28. SSC Selection Post • 2023

    Class A has 20 students scoring average marks of 75, and class B has 30 students scoring average marks of 60. What is the average of both the classes together?

  29. SSC GD • 2021

    The sum of the radius of the base and height of a solid cylinder is 17 cm. If the total surface area of the solid cylinder is 748 cm², then the height of the cylinder is:

  30. SSC Selection Post • 2022

    If cosec (A - B) = 2 and cot(A + B) = 1/(sqrt3) , then what is the value of A?

  31. SSC CHSL • 2024

    If tanθ = 7over4 , then the value of 4\ sin\ θ\ -\ 3\ cos\ θover4\ sin\ θ\ +\ 3\ cos\ θ is equal to:

  32. SSC CGL • 2023

    A person spends 25% of his income on goods of daily uses. Furthermore, he spends 18% of the rest on house rent and 16% of the rest on travel. After that, only Rs.861 is left with him. What is his salary?

  33. SSC CHSL • 2025

    The centroid of a triangle is the center of mass. If the coordinates of the vertices are A(2,3), B(4,5), and C(6,7), what is the centroid of the triangle?

  34. SSC CGL • 2019

    A man purchases 100 copies of a book from the publisher and gets a discount of 25%. He buys 50 copies from a retailer at a discount of 10%. He got an overall discount of:

  35. SSC CHSL • 2020

    A man buys an article for Rs.3,200 and sells it at a loss of 12%. What is the selling price of the article?

  36. SSC Selection Post • 2020

    Incomes of A and B are in the ratio of 5 : 3 and their expenditures are in the ratio of 9 : 5. If the income of B is equal to the expenditure of A, then what is the ratio of the savings of A and B?

  37. SSC Selection Post • 2019

    A and B obtained 441 marks and 558 marks, respectively. If B got 62% marks, then percentage of marks obtained by A is:

  38. SSC Selection Post • 2022

    When a number is divided by 13, it leaves the remainder 6. What will be the remainder when the square of the same number is divided by 13?

  39. SSC CGL • 2022

    A shopkeeper marks his goods at a price 20% higher than the cost price and allows 10% discount on every item. Find his gain percentage.

  40. SSC CGL • 2024

    Samreen sells a keyboard for ₹1,260 at a profit of 25%, and another keyboard for ₹1,440 at a loss of 10%. What is her total gain or loss percentage?

  41. SSC CGL • 2020

    A can complete a certain work in 30 days. B is 25% more efficient than A and C is 20% more efficient than B. They all worked together for 3 days. B alone will complete the remaining work in:

  42. SSC CGL • 2023

    Which of the following numbers is divisible by 11?

  43. SSC MTS • 2022

    The mean temperature from Monday to Thursday is 39.25°C. The mean temperature from Thursday to Sunday is 40.25°C. If the sum of the daily temperatures of all the days during the week, from Monday to Sunday, is 277.5°C, then what is the temperature for…

  44. SSC CHSL • 2023

    Simplify the given expression. 3(sin⁴z-cos⁴z+1)over sin² z

  45. SSC CGL • 2022

    What is the value of cos²15°?

  46. SSC CGL • 2024

    What is the value of sec (t), if tan(t) = 1/3 ?

  47. SSC CGL • 2025

    A invests ₹18,000, while B invests ₹27,000 in a business. A receives an additional 25% of the total profit as a management fee. The total profit at the end of the year is ₹50,000. What is A's total share of the profit?

  48. SSC CHSL • 2021

    A certain number of persons can complete a work in 54 days. If there were 15 persons less, it would take 18 days more for the work to be completed. Initially, the number of persons is:

  49. SSC MTS • 2022

    Find the male population of city R that is below 60 years old.

  50. SSC Selection Post • 2020

    A shopkeeper bought 1000 kg of rice, a part of which was sold at 10% profit and the remaining at 20% loss; on the whole, the loss was 5%. What is the quantity of rice that was sold at a 20% loss?