Quantitative Aptitude PYQ — Page 203

24,303 questions across SSC exams.

  1. SSC CGL • 2020

    The greatest number which may replace * in the number 1190*6 to make the number divisible by 9 is :

  2. SSC CHSL • 2020

    Water flows into a tank 180 m × 140 m through a rectangular pipe of 1.2 m × 0.75 m at a rate of 15 km/h. In what time will the water rise by 4 m?

  3. SSC GD • 2024

    Height of a cone is 24 cm and radius of its base is 10.5 cm. What is the volume of the cone?

  4. SSC CHSL • 2025

    The population of a town increases by 20% in the first year, decreases by 10% in the second year, and again increases by 25% in the third year. If the population at the beginning was 40,000, what will it be after 3 years?

  5. SSC CPO • 2025

    A right prism has a square base with an area of 225 cm² and a height of 12 cm. Find the lateral surface area.

  6. SSC CGL • 2021

    If y = 2x + 1, then what is the value of (8x³ - y³ + 6xy)?

  7. SSC CHSL • 2022

    [Image] Study the given bar graph and calculate the average number of girls studying in the 5^(th), 6^(th) and 8^(th) grades.

  8. SSC Selection Post • 2023

    In ∆ABC, P and Q are the middle points of the sides AB and AC, respectively. R is a point on the segment PQ such that PR : RQ = 1 : 4. If PR = 5 cm, then BC = ?

  9. SSC GD • 2025

    Ketan sold 151 chairs and had a gain equal to the selling price of 51 chairs. What is his profit percentage?

  10. SSC GD • 2025

    There are 49 members in group A, 35 members in group B, and 31 members in group C. All the members of these groups went to a restaurant. The average amount spent on each member of group A, B, and C is ₹106, ₹141, and ₹226, respectively. The total average…

  11. SSC CHSL • 2020

    If secθ - tanθ = 3, then cosθ is equal to:

  12. SSC CHSL • 2022

    The lengths of a pair of parallel sides of a trapezium are 20 cm and 25 cm, respectively, and the perpendicular distance between these two sides is 14 cm. What is the area (in cm² ) of the trapezium?

  13. SSC Selection Post • 2024

    Prakash and Avinash can complete the work in 24 days. If Prakash alone can complete it in 48 days, then in how many days can Avinash alone complete the work?

  14. SSC CGL • 2022

    Find the value of the following expression: -5 + 5 + 625 ÷ 5 × 5

  15. SSC CHSL • 2025

    An architect designs a museum cap in the form of a regular right square pyramid. If the slant height is 13 m and each side of the square base is 10 m, what is the vertical height of the pyramid?

  16. SSC CHSL • 2023

    The following pie chart shows the percentage distrubution of trees in forest. [Image] If the forest has 7500 pine trees , then find how many trees are there in the forest?

  17. SSC CGL • 2021

    If the seven-digit number 94x29y6 is divisible by 72, then what is the value of (2x + 3y) for x ≠ y?

  18. SSC CGL • 2020

    The average height of 5 boys is 175 cm. A sixth boy joined the group and the average height of all the boys in the group now increased by one centimeter. The height of the sixth boy is:

  19. SSC CGL • 2024

    The combined average production for four years of companies A and C is what percentage (rounded off to 2 decimal places) is more/less than the combined average production for four years of companies B and D?

  20. SSC CGL • 2024

    The value of (sin²θ - 2sin⁴θ)/(2cos⁴θ + cos²θ) at θ = 45° is :

  21. SSC GD • 2021

    John can complete a piece of work in 6 days working 8 hours each day and Manu can complete it in 3 days working 4 hours each day. How long will they take to complete it, working together 9(3/5) hours a day?

  22. SSC GD • 2019

    The ratio of the mean proportional between 0.7 and 2.8 and the third proportional to 2.5 and 3.5 is:

  23. SSC CHSL • 2020

    If sinθ + cosecθ = 2, then the value of sin²θ + cosec²θ is:

  24. SSC GD • 2023

    Ravi sold two bikes for ₹ 42,188 each. On one bike he gained 20% while on the other he lost 20%. How much per cent does he gain or lose overall?

  25. SSC CHSL • 2025

    A number is increased by 40% and then decreased by 30%. What is the net percentage change?

  26. SSC GD • 2023

    Which of the following is divisible by 24?

  27. SSC GD • 2025

    What time (in seconds) is required for a 496 m long train to cross a 664 m long tunnel, if the train travels at a speed of 18 km/h?

  28. SSC CHSL • 2024

    The number 611611611611 is: (a)Divisible by both 6 and 11 (b)Divisible neither by 6 nor by 11 (c)Divisible by 6 only (d)Divisible by 11 only

  29. SSC GD • 2023

    A car covers a certain distance in 3 h with a speed of 108 km/h. If the speed is reduced by 27 km/h, then the time taken by the car to cover the same distance will be:

  30. SSC Selection Post • 2022

    Ramesh walks a certain distance and rides back in 5 hours 45 minutes. If he could ride both ways in 3 hours 30 minutes, find the time required by Ramesh to walk both ways .

  31. SSC CGL • 2024

    A starts walking at a speed of 8 km/h. After 8 hours B started travelling on a bicycle at a speed of 24 km/h. The distance from the starting B can catch A is:

  32. SSC CGL • 2020

    If secθ - tanθ = x/y, (0 < x < y) and 0ᵒ < θ < 90ᵒ, then sinθ is equal to:

  33. SSC CHSL • 2023

    If (y - 1/y ) = 9, find the value of (y³ - 1/(y³) ).

  34. SSC GD • 2025

    If the ratio of rthe adius of the bases of two cylinders is 4 : 5 and the ratio of their heights is 5 : 2, then the ratio of their volumes is:

  35. SSC Selection Post • 2022

    The volumes of two cubes are in the ratio of 8 : 27. If the volume of the larger cube is 513 cm3 more than that of the smaller cube, find the length of each side of the smaller cube.

  36. SSC Selection Post • 2022

    If cos²θ – sin²θ – 3cosθ + 2 = 0, 0° tanθ over 2

  37. SSC CGL • 2025

    In a ΔABC, side BC is extended to a point D. The exterior angle at C is 105°. The interior angles at A and B are in the ratio 2 : 5. What is the measure of the largest interior angle of the triangle?

  38. SSC CHSL • 2023

    In a triangle ABC, side BC is produced to D such that ∠ACD = 127&ordm;. If ∠ABC = 35&ordm;, then find ∠BAC.

  39. SSC Selection Post • 2022

    Directions: The bar graph below shows the data on the Price of three different Laptops(in thousands) for the years 2011 to 2015. Find the average price of laptops X in all five years. (In thousands) [Image]

  40. SSC MTS • 2022

    The sum of the radius of the base and the height of a cylinder is 55 cm. If the height of the cylinder mentioned above is 15 cm more than the radius of its base, then what is the curved surface area of this cylinder? [Use π=22/7 ]

  41. SSC CGL • 2024

    Compute the ratio of the number of officer cadre employees of bank A to the number of officer cadre empoyees of bank C.

  42. SSC GD • 2023

    A train travelling at the speed of 65 km/h leaves Bombay at 10 : 00 a.m., and another train travelling at the speed of 76 km/h starts at 12 : 00 p.m. in the same direction. At what distance (in km) from Bombay will they be together?

  43. SSC CHSL • 2025

    The base of a right prism is a regular hexagon with each side equal to 7.5 cm. If the height of the prism is 18 cm and the area of the hexagonal base is approximately 146.30 cm², calculate the total surface area of the prism.

  44. SSC CGL • 2025

    A container has a 100-litre mixture of acid and water in the ratio 4 : 1. 20 litres is removed and replaced with water. Then 20 litres is removed again and replaced with pure acid. What is the final percentage of acid?

  45. SSC CHSL • 2022

    The radii of two circles are 4 cm and 7 cm and the distance between their centres is 12 cm. Find the length of the direct common tangent to the circles.

  46. SSC CHSL • 2024

    What is the ratio of the production of local quality and export quality units of the highest manufacturing plant?

  47. SSC CHSL • 2022

    If a + b + c = 10 and ab + bc + ca = 30, then the value of a² + b² + c² is:

  48. SSC CHSL • 2022

    The table given below provides information about the marks obtained by a group of students in a test. [Table] What is total number of students in the group?

  49. SSC CGL • 2024

    P, Q and R are the three angles of a triangle. If P − Q = 20° and Q − R = 26°, then ∠P is equal to:

  50. SSC Selection Post • 2022

    A baby stroller is sold for Rs.12,320 by allowing a discount of 30% on its marked price. Find the marked price of a baby stroller.