Quantitative Aptitude PYQ — Page 477

24,303 questions across SSC exams.

  1. SSC CPO • 2020

    Two pipes A and B can fill a tank in 15 hours and 18 hours respectively. Both pipes are opened simultaneously to fill the tank. In how many hours will the empty tank be filled?

  2. SSC CPO • 2025

    The complement of an angle is 5° less than the angle. Find the angle

  3. SSC CPO • 2019

    What is the simplified value of [Image]

  4. SSC CPO • 2022

    Find the LCM of 28 and 92.

  5. SSC CPO • 2019

    The price of sugar is decreased by 10%. By what percent can a person increase consumption so that there is no change in expenditure?

  6. SSC CPO • 2023

    Ramesh borrowed some money at rate of 5% per annum for the first four years, 8% per annum for the next six years, and 12% per annum for the period beyond ten years. If the total interest paid by him at the end of twelve years is ₹9,016, then find the money…

  7. SSC CPO • 2024

    Simplify 20 ÷ 5 of 4 × 8 + 6 ÷ 24 of 3 × 48 - 6 ÷ 18 × 9 .

  8. SSC CPO • 2023

    The fraction equivalent to 1/5% is:

  9. SSC CPO • 2019

    The average of no observation is 40. If one observation of value 80 is added, then the average of all the observations is 41. What is the value of n?

  10. SSC CPO • 2025

    One angle is 5 less than 3 times its complement. Find the angle.

  11. SSC CPO • 2023

    What will be the difference between the total surface area and the curved surface area of a hemisphere having 4 cm diameter?

  12. SSC CPO • 2024

    The population of a town is 15000. If the population increases by 15% in the first year, by 25% in the second year and due to pollution it decreases by 6% in the third year, what will be its population after 3 years?(Round off number in answer)

  13. SSC CPO • 2025

    A cone has a base diameter of 70 cm and a height of 12 cm. Calculate its volume.

  14. SSC CPO • 2019

    The height of a cylinder is (2/3)rd of its diameter. Its volume is equal to the volume of a sphere whose radius is 4 cm. What is the curved surface area (in cm²) of the cylinder?

  15. SSC CPO • 2023

    If sin β=1 over 3, (sec β - tan β) ² is equal to:

  16. SSC CPO • 2020

    A ladder leaning against a wall makes an angle θ with the horizontal ground such that tan θ = 12/5 . If the height of the top of the ladder from the wall is 24 m, then what is the distance (in m) of the foot of the ladder from the wall?

  17. SSC CPO • 2022

    If the number 647592 is divisible by 88 and if the digits are rearranged in increasing order, then the new number thus formed will be divisible by:

  18. SSC CPO • 2025

    A cone has base radius 6 cm and slant height 10 cm. If a conical frustum is cut from it, the top radius is 3 cm and height is proportionally scaled. Find the height of the frustum.

  19. SSC CPO • 2025

    If y = mx + c passes through the points (2, 5) and (4, 9), find m.

  20. SSC CPO • 2023

    If the slant height of a cone is 29 cm and its height is 20 cm, find the ratio between the magnitudes of the total surface area and the volume.

  21. SSC CPO • 2025

    If sinθ = 7/25 and θ lies in the second quadrant, find the value of tanθ .

  22. SSC CPO • 2024

    What is the respective ratio of the dozens of eggs produced by farm P to farm T in the year 2011?

  23. SSC CPO • 2022

    The circle graph given here showws the spending of a country on various sports during a year. Study the graph carefully to answer the question. Percentage of money spent on various sports for one year. [Image] If the total amount spent during the year was…

  24. SSC CPO • 2022

    The simplified form of (7x + 4y)² + (7x − 4y)² is:

  25. SSC CPO • 2024

    Study the given table and answer the question that follows. The table shows the number of students studying in 6 different classes of 6 different schools. [Table] The number of students studying in class VII from school U forms approximately what percentage…

  26. SSC CPO • 2023

    Which of the following numbers leaves the remainder equal to the highest common factor of 6, 8, and 9, when divided by 6, 8, and 9?

  27. SSC CPO • 2020

    The average weight of a group of 3 people A, B and C is 70 kg. When D joins this group, the average becomes 60 kg. One man E, whose weight is 5 kg more than of D , replaces A and the average weightog B , C, D and E now becomes 59 kg. A's weight ( in kg) is :

  28. SSC CPO • 2025

    If cos θ = (m² - n²)/(m² + n²) , then what is tanθ ?

  29. SSC CPO • 2023

    A right square pyramid having lateral surface area is 624 cm². If the length of the diagonal of the square is 24 √(2) , then the volume of the pyramid is:

  30. SSC CPO • 2020

    Chord AB of a circle is produced to a point P, and C is a point on the circle such that PC is a tangent to the circle. If PC = 12cm, and BP = 10cm, then the length of AB (in cm) is:

  31. SSC CPO • 2025

    A hollow cylinder has outer radius 7 cm, inner radius 5 cm, and height 10 cm. Find volume of material.

  32. SSC CPO • 2020

    The value of (sin ²30 + cos ²60^° - sec35^° .sin55^° )/(sec60^° + csc30^° ) is equal to :

  33. SSC CPO • 2019

    How many persons are using train to reach their workplace?

  34. SSC CPO • 2023

    Some medicine in liquid form is prepared in a hemispherical container of diameter 36 cm. When the container is full of medicine, the medicine is transferred to small cylindrical bottles of diameter 6 cm and height 6 cm. How many bottles are required to empty…

  35. SSC CPO • 2024

    Simplify the following expression: 25 × 25 + 9 × 9 + 6 × 6 + 2 × 25 × 9 + 2 × 9 × 6 + 2 × 25 × 6

  36. SSC CPO • 2025

    Convert 540° to radians.

  37. SSC CPO • 2022

    Two circles touch each other externally. The radius of the first circle with centre A is18 cm. The radius of the second circle with centre B is 8cm.Find the length of their common tangent CD.

  38. SSC CPO • 2019

    If 8x = 2x²+ 7x - 2, x > 0, then what is the value of x³ + x⁻³?

  39. SSC CPO • 2023

    In a village election, Sharuk got 80% of the total valid votes. 10% of the votes were invalid. If the total number of votes was 4500, then find the number of valid votes the other candidate got.

  40. SSC CPO • 2022

    The sides of a triangle are 8 cm, 12 cm, and 16 cm. What is the area of the triangle?

  41. SSC CPO • 2022

    Simplify : (x + y)³ - (x - y)³ - 6y(x² - y²)

  42. SSC CPO • 2023

    Arbind has 650 kg of wheat. A part of which he sells at 9% profit and the rest at 19% profit to get 15% profit on the whole. What is the quantity (in kg) of wheat sold by Arbind at 9% profit?

  43. SSC CPO • 2024

    A spherical box has a surface area of 528 cm². Find the radius of the spherical box.

  44. SSC CPO • 2023

    Find the least value of 16cosec² θ + 25sin² θ

  45. SSC CPO • 2023

    If tan A = 4/3,0 ≤ A ≤ 90°, then find the value of sin A.

  46. SSC CPO • 2024

    The length of the side of a cube is 8 cm. Find the volume of the cube?

  47. SSC CPO • 2019

    ABCD is a cyclic quadrilateral. The tangents to the circle at the points A and C on it, intersect at P. If ∠ABC = 98°, then what is the measure of ∠APC?

  48. SSC CPO • 2025

    If a + b + c = 20 and a² + b² + c² = 200, find the value of (a − b)² + (b − c)² + (c − a)².

  49. SSC CPO • 2025

    A solid cylinder is reduced in radius by 20% and increased in height by 50%. What net percentage change occurs in its volume?

  50. SSC CPO • 2022

    The following bar chart shows the vends of foreign direct investment (FDI) into India from all over the world. [Image] For which year is the percent increase in FDI over the previous year the highest?