SarkariPYQ

Quantitative Aptitude PYQ — Page 59

24,303 questions across SSC exams.

  1. SSC CHSL • 2023

    If cot⁴A + cot² A = 1, then find the value of cos⁴ A - 3cos² A.

  2. SSC Selection Post • 2025

    Which of the following is the smallest set of three consecutive natural numbers?

  3. SSC CGL • 2023

    Simplify the following. (√(10+√(25+√(108+√(154+√(225))))))/(√(16+19.25× 4²))

  4. SSC CGL • 2022

    The surface area of a sphere is 221.76 cm². Its volume (in cm³) is (correct to one decimal place). (Take π = 22/7 )

  5. SSC CGL • 2023

    A glass jar contains 6 white, 8 black, 4 red, and 3 blue marbles. If a single marble is chosen at random from the jar, what is the probability that it is black or blue?

  6. SSC MTS • 2024

    WN 22 is related to AR 29 in a certain way. In the same way, MD 19 is related to QH 26. To which of the following is EV 35 related following the same logic?

  7. SSC CGL • 2025

    Simplify (5z - 12y)² + (12z + 5y)² - 144z²

  8. SSC CGL • 2016

    Three containers have their volumes in the ratio 3 : 4: 5. They are full of mixtures of milk and water. The mixtures contain milk and water in the ratio of (4:1), (3: 1), and (5: 2) respectively. The contents of all these three containers are poured into a…

  9. SSC CGL • 2019

    The radius & the height of a right circular cone are in the ratio 5 : 12. Its curved surface area is 816.4cm². What is the volume (cm³) of the cone?

  10. SSC CGL • 2018

    The ratio of present ages of Simi and Seema is 5 : 4. After 9 years the ratio of their ages will be 8 : 7. What is Simi's present age (in years)?

  11. SSC MTS • 2024

    What will come in place of the question mark (?) in the following equation, if ‘+’ and ‘−’ are interchanged and ‘×’ and ‘÷’ are interchanged? 456 × 4 − 3 ÷ 11 + 70 =?

  12. SSC CGL • 2018

    The price of a movie ticket was increased in the ratio 9 : 10. What is the increase in the revenue (in Rs.) of the cinema hall, if the original fare was Rs 180 and 2200 tickets were sold.

  13. SSC CGL • 2016

    If 2r = h + √(r²+ h²) then the ratio r : h (r ≠ 0) is:

  14. SSC Selection Post • 2025

    Simplify (3√5 + 2√20) - (√45 + 4√5).

  15. SSC Selection Post • 2025

    What is the value of (6√12)/(3√2)?

  16. SSC Selection Post • 2025

    The parallel sides of a trapezium differ by 4 cm. Its height is 8 cm and the area is 192 cm². What are the lengths of the parallel sides?

  17. SSC MTS • 2024

    What will come in the place of the question mark (?) in the following equation, if ‘+’ and ‘−’ are interchanged and ‘×’ and ‘÷’ are interchanged? 16 ÷ 4 + 18 − 14 × 7 = ?

  18. SSC CGL • 2023

    The average age of A, B and C is 20 years. Two years ago the sum of the ages of A and B was 6 more than that of C. Find the present age of C.

  19. SSC Selection Post • 2025

    Simplify (√3+√5)².

  20. SSC CGL • 2020

    The value of [Image] is:

  21. SSC Selection Post • 2025

    Which of the following statements is true?

  22. SSC Selection Post • 2025

    A cuboidal block of metal is melted and recast into 12 identical cubes. If the original block had dimensions 24 cm × 6 cm × 6 cm, what is the edge of each cube?

  23. SSC Selection Post • 2025

    The base of a right prism is a square of side 10 cm. If the height of the prism is 7 cm, find its volume in cubic centimetres.

  24. SSC CHSL • 2024

    The measures of two angles of a triangle are in the ratio 3 : 7. If the sum of these two measures is equal to the measure of the third angle, then find the smallest angle.

  25. SSC Selection Post • 2025

    Simplify: √75 + √48 - √27

  26. SSC CGL • 2019

    Pipes A, B and C can fill a tank in 30hrs, 40hrs and 60hrs respectively, Pipes A, B and C are opened at 7am, 8am and 10am respectively on the same day. When will the tank be full ?

  27. SSC CHSL • 2023

    A person covers 1/4 of his journey at the speed of 25 km/h, 1/2 of the journey at 40 km/h and the remaining at the speed of 50 km/h. Find his average speed per hour for the whole journey (in km/h).

  28. SSC Selection Post • 2025

    In a classroom test, students were awarded +6 marks for each correct answer and -3 marks for each incorrect answer. No marks were given for unattempted questions. Radhika answered 10 questions correctly and scored a total of 42 marks. How many questions did…

  29. SSC Selection Post • 2025

    A decorative candle consists of two parts: a cylindrical base and a conical top. The radius of both parts is 3.5 cm. The cylindrical part is 11 cm high, while the conical part rises to a height of 9 cm above it. Determine the estimated total surface area of…

  30. SSC Selection Post • 2025

    The temperature in a city at 6:00 AM was –4°C. During the day, the temperature rose steadily by a certain number of degrees. By 3:00 PM, the temperature reached +9°C. What was the total rise in temperature during that time?

  31. SSC Selection Post • 2025

    There is a slide in a park. One of its side walls, shaped like a triangle, is painted with a message: “RESPECT NATURE, PRESERVE GREENERY.” If the sides of the wall are 13 m, 14 m, and 15 m, what is the area painted in color?

  32. SSC CGL • 2018

    In the given figure, B and C are the centres of the two circles. AD is the common tangent to the two circles. If the ratio of the radius of both the circles is 3 : 5 and AC = 40, then what is the value of DE ? [Image]

  33. SSC Selection Post • 2025

    Show that 0.2636363... can be expressed in the form p/q, where p and q are integers and q ≠ 0; what is the value of p/q?

  34. SSC CGL • 2023

    If 2ˣ + 3ʸ = 17 and 2ˣ⁺²-3ʸ⁺¹ = 5, then:

  35. SSC CGL • 2026

    If x +1/x =2√(3) then find the value of x³ + 1/(x³) .

  36. SSC CGL • 2023

    If the curved surface area of a cylinder is 126π cm2 and its height is 14 cm, what is the volume of the cylinder?

  37. SSC Selection Post • 2025

    What is the smallest number that, when divided by 2, 3, 4, 5, 6, and 7 leaves remainder 1?

  38. SSC Selection Post • 2025

    What is the largest five-digit number that is divisible by 9, 15, 16, 21, and 5?

  39. SSC CGL • 2020

    The radii of two cylinders are in the ratio 3 : 4 and their heights are in the ratio 8 : 5. The ratio of their volumes is equal to:

  40. SSC CGL • 2018

    In a trapezium, one diagonal divides the other in the ratio 2 : 9. If the length of the larger of the two parallel sides is 45 cm, then what is the length (in cm) of the other parallel side?

  41. SSC CGL • 2016

    In what proportion must a grocer mix sugar at Rs.12 a kg and Rs.7 a kg so as to make a mixture worth Rs.8 a kg ?

  42. SSC CGL • 2025

    The value of 4³ - 0² + (22/2)² - 8 + 7 × 6.

  43. SSC Selection Post • 2025

    Which of the following is not an integer?

  44. SSC Selection Post • 2025

    √2 + √3 is classified as:

  45. SSC CHSL • 2024

    A, B and C jointly started a business in which A invested Rs 7,000 for 12 months, B invested Rs 8,000 for 10 months and C invested Rs 12,000 for 6 months. A was the working member for which he received 20% of the profits as his remuneration. The total profit…

  46. SSC Selection Post • 2025

    A diver was swimming at a depth of ~30 meters below sea level. She then ascended 18 meters towards the surface. What is her new position relative to sea level?

  47. SSC Selection Post • 2025

    The lengths of the diagonals of a rhombus are equal to 3 times and 4 times a certain value. If the area of ​​the rhombus is 216 sq cm, what are the actual lengths of the two diagonals?

  48. SSC Selection Post • 2025

    If x = 7/2 is a rational number and y = √27 is an irrational number, then what type of number will x + y be?

  49. SSC CGL • 2023

    A,B, C are three points such that AB = 9 cm, BC = 11 cm and AC = 20 cm. The number of circles passing through points A,B,C is:

  50. SSC CGL • 2022

    Study the given pie charts and answer the question that follows. [Image] The number of students who passed the examination from institute C is what percentage of the total number of students who appeared from institutes D and E ?