SarkariPYQ

Quantitative Aptitude PYQ — Page 450

24,303 questions across SSC exams.

  1. SSC CPO • 2024

    Simplify the following expression. 3 1/7 ÷ 14/7 + 3 of 2 2/3 + 2.5 × 2.4 ÷ 3 1/3 - 4 of 3.

  2. SSC CPO • 2022

    Water is flowing through a cylindrical canal with an internal diameter of 7 m at the speed of 18 km/h. Find the volume of water flowing through the canal in 30 minutes. (take π = 22/7 )

  3. SSC CPO • 2022

    Ajay buys 18 oranges for ₹90 and sells 15 oranges for ₹105. Find the percentage of his gain.

  4. SSC CPO • 2024

    Simplify the given expression : (21/7 +61/7) ÷ 9/7

  5. SSC CPO • 2019

    If x⁴ + x²y² + y4 = 133 and x² - xy + y² = 7, then what is the value of xy?

  6. SSC CPO • 2020

    The sides of a triangle are 24 cm, 26 cm, and 10 cm, At least of its vertices, a circle of radius 4.2 cm is drawn, What is the area ( in cm²) of the triangle, excluding the portion covered by the sectors of the circles? ( π = 22/7 )

  7. SSC CPO • 2023

    The monthly salary of a person is ₹50,000. He spends 40% of his salary on household expenses, 25% on rent, and 15% on transportation, and saves the remaining amount. What is his yearly savings?

  8. SSC CPO • 2024

    In an election, 12% of the voters in the voter list did not cast their votes, whereas 84 voters cast their ballot papers blank. There were only two candidates: Ramagya and Shravan. The winner, Ramagya, was supported by 54% of all the voters in the list. He…

  9. SSC CPO • 2019

    The tangent at point A on a circle with center O intersects the diameter PQ of the circle when extended, at point B. If ∠BAQ = 105°, then, ∠APQ is equal to: [Image]

  10. SSC CPO • 2025

    A cuboid has length 7 cm, breadth 3 cm, and height 4 cm. Its surface area is:

  11. SSC CPO • 2023

    If Arun can complete 2/3 rd of a work in 12 days, then in how many days can he complete 1/6 th of the same work?

  12. SSC CPO • 2019

    Pipes A and B together can fill a tank in 16 hours, whereas pipe C alone can empty the full tank in 24 hours. A and B were opened together for 10 hours and then closed. Pipe C was then opened. The tank will now be emptied by C in:

  13. SSC CPO • 2022

    The marked price of a chair was ₹1,000 but it was sold for ₹1,200. What is the percentage increase on the product?

  14. SSC CPO • 2019

    If tan11θ = cot7θ, then what is the value of sin²6θ + sec²9θ + cosec²12θ?

  15. SSC CPO • 2020

    If the annual rate of simple interest increase from 11% to 17 1/2 %, a person's yearly income increase by Rs1,071.20. The principal amount invested ( in Rs) is :

  16. SSC CPO • 2023

    Peter invested a certain sum of money in a scheme paying 10% simple interest per annum, while Rachel invested half of the sum that Peter invested in a scheme paying 10% interest per annum compounded annually. Also, while Peter invested for 2 years, Rachel…

  17. SSC CPO • 2022

    The given pie chart represents the percentage of people in a city who are interested to buy the laptop of five different companies A, B, C, D and E. [Image] The number of people interested to buy company A's laptop is what percentage of the number of people…

  18. SSC CPO • 2022

    Simplify the following: (1 + cot²θ)(1 − cos θ)(1 + cos θ)

  19. SSC CPO • 2022

    If 16y² - k = (4y + 3/2)(4y - 3/2) , then the value of k is:

  20. SSC CPO • 2025

    Expand: (5x − 3)² = ?

  21. SSC CPO • 2024

    A grocer purchased 10 kg of rice for ₹700. He spends some amount on transportation and then sells it for ₹1,400. If the percentage of profit made by the grocer is 30%, then what is the amount (in₹) he spends on transportation? (Round off to the nearest…

  22. SSC CPO • 2020

    The central angle of the sector representing expenditure on interest payment is :

  23. SSC CPO • 2025

    A small construction firm has 6 workers who can complete a road patching job in 8 days. If 4 more workers are added, how many days will they take to finish the same work?

  24. SSC CPO • 2022

    Determine the total surface area of a hemisphere closed at the bottom. The radius of the hemisphere is √(25/(π)) unit.

  25. SSC CPO • 2023

    A boy goes from home to school at a speed of 30 km/h and returns back at a speed of 70 km/h. What is his average speed for the journey?

  26. SSC CPO • 2025

    A cone is cut by a plane that runs parallel to its base, creating a smaller cone that is similar to the original cone. If the height of this smaller cone is one-third that of the original cone, what is the ratio of their volumes?

  27. SSC CPO • 2024

    The table below shows employees of a company in 5 different towns over the period of 5 years. [Table] Note: All figures are fictitious. Employees from Pune in 2018 are what per cent of the total employees of all towns together in that year?

  28. SSC CPO • 2022

    The marked price of a chair was ₹1,000 but it was sold for ₹1,200. What is the percentage increase on the product?

  29. SSC CPO • 2019

    ABCD is cyclic quadrilateral such that AB is the diameter of the circle circumscribing it and ∠ADC = 145º. What is the measure of ∠BAC?

  30. SSC CPO • 2023

    Find the mean proportional between 32 and 162.

  31. SSC CPO • 2019

    If x⁴ + x²y²+ y⁴ = 21/256 and x² + xy + y² = 3/16, then 2(x² + y²) = ?

  32. SSC CPO • 2020

    The given histogram shows the height of the students. [Image] The number of students whose height is in the class interval 165-170 is what percentage less than the number of students whose height is in the interval 150-155? (correct to one decimal place)

  33. SSC CPO • 2025

    A recipe needs ingredients A, B, and C in the ratio 5:3:2. If the chef only has 400 grams of ingredient A, what is the total amount of the mixture he can make, maintaining the ratio?

  34. SSC CPO • 2019

    Pipes A and B can empty a full tank in 18 hours and 24 hours respectively. Pipe C alone can fill the tank in 36 hours. If the tank is (5/6) full and all the three pipes are open together, then in how many hours will the tank be emptied?

  35. SSC CPO • 2019

    A sphere of radius 5 cm is melted and recast into spheres of 2 cm each. How many such spheres can be made? (approx.)

  36. SSC CPO • 2022

    The following table shows the number of students of seven colleges participating in extra-curricular activities. Read the table and answer the question given. [Table] The percentage of the number of students in activity II to that of activity IV is…

  37. SSC CPO • 2020

    In △ABC, BD ⊥ AC atD.E is a point on BC such that ∠BEA = x°. If ∠EAC = 62° and ∠EBD = 60°, then the value of X is:

  38. SSC CPO • 2023

    A car, during its entire journey of 5 hours, travels the first 45 minutes at a certain speed, the next 75 minutes at a speed of 85 km/h, and the last 3 hours at a speed of 70 km/h. During its entire journey, the average speed of the car is found to be 73…

  39. SSC CPO • 2024

    The following table shows the yearly production of bags (in thousands) by different companies. [Table] The total production of company A over the given years is what percentage of the total production of company D over the given years?

  40. SSC CPO • 2023

    Two circles of radius 12 cm and 15 cm intersect each other at points A and B. If the length of the common chord is 12 cm, then what is the distance between their centres?

  41. SSC CPO • 2025

    If 3/2 of a number is 0.6 greater than its 1/2, find the number.

  42. SSC CPO • 2025

    A seller marks up his product by 50% and offers two consecutive discounts of 10% each. What is his profit percentage?

  43. SSC CPO • 2023

    Rakhi purchased a basket, a wallet and a belt. She got discounts of 5%, 8% and 10% on the basket, the wallet and the belt, respectively, on their respective marked prices of ₹80, ₹150 and ₹350. How much amount (in ₹) did she pay in total?

  44. SSC CPO • 2019

    The speed of a train is 13/6 times the speed of a car. The car covers 486 km in 9 hours. How much distance will the train cover in 6 hours?

  45. SSC CPO • 2025

    The volume of a sphere is 288π³ . Find the surface area of the sphere.

  46. SSC CPO • 2020

    The given histogram shows the heights of the students. [Image] The number of students whose height in the class interval 170-175 is what percent less than the numbers of students whose heights is in interval 165 - 170 ? ( correct to one decimal place )

  47. SSC CPO • 2020

    If A is 1/6 of C, and B is twice of A , and the average of A , B and C is 30, then the difference between A and C is :

  48. SSC CPO • 2024

    The marked price of an article is 35% more than its cost price. If a discount of 15% is given, what will be the profit percentage?

  49. SSC CPO • 2022

    If a = 9.6, b = 4.44 and c = 5.16, then the value of a³ - b³ - c³ - 3abc is:

  50. SSC CPO • 2025

    X and Y started a business investing Rs. 60,000 and Rs. 90,000 respectively. After 5 months, X withdrew half his capital, and Y added Rs. 30,000 more. If the total profit at year-end is Rs. 49,500, find X’s share.