Quantitative Aptitude PYQ — Page 440

24,303 questions across SSC exams.

  1. SSC CPO • 2024

    Simplify the following. 72 ÷ 8 × 4 + 40 - 35 ÷ 5 + 15

  2. SSC CPO • 2020

    The ratio of two number is 7 : 13 and their HCF is 8. Their LCM is :

  3. SSC CPO • 2022

    A cone-shaped storage tank's height and radius are 9 and 7 feet, respectively. Determine how much liquid the tank can contain. (Take π = 3.14)

  4. SSC CPO • 2019

    As observed from the top of a lighthouse 45m high above the sea-level, the angle of depression of a ship, sailing directly towards it, changes from 30º to 45º. The distance traveled by ship during the period of observation is: (Your answer should…

  5. SSC CPO • 2024

    Sapna is double efficient as compared to Rakesh. If they both work together on a project and complete it in 48 days, then the number of days in which Sapna alone can complete the project is:

  6. SSC CPO • 2023

    If the sum of two numbers is 60 and their HCF and LCM are 5 and 60, respectively, then the sum of the reciprocals of the numbers will be:

  7. SSC CPO • 2022

    Three metallic spheres of radii 10 cm, 8 cm, and 6 cm, respectively, are melted to form a single solid cone of radius 12 cm. Find the curved surface area of the cone, correct to two places of decimal. (Take π = 3.14)

  8. SSC CPO • 2024

    Find the fourth proportion to 10, 12, and 15

  9. SSC CPO • 2019

    A ladder leaning against a window of a house makes an angle of 60º with the ground. If the distance of the foot of the ladder from the wall is 4.2 m, then the of the point, where the ladder touches the window from the ground is closest to:

  10. SSC CPO • 2025

    A sum of money doubles in 6 years at simple interest. In how many years will it triple?

  11. SSC CPO • 2019

    What is the ratio of the total expenditure in 2015 and 2016 to the total revenue of the company in 2016 and 2018?

  12. SSC CPO • 2022

    A man borrowed Rs.50,000 from a bank at 10% per annum, compounded annually. At the end of every year, he pays Rs.15,000 as part payment of the loan and interest. How much does he still owe to the bank after three such installments?

  13. SSC CPO • 2022

    The price of a car is first increased by 35% and after that the price is decreased by 25% due to reduction in sales. What is the net percentage change in final price of the car?

  14. SSC CPO • 2022

    The following pie chart shows the population of 7 villages. [Image] If the total population of all the village together is 50,000. Then what is the population of village D?

  15. SSC CPO • 2019

    If 8x/(2x² + 7x - 2) = 1, x > 0 then, what is the value of x³ + (1/x³)?

  16. SSC CPO • 2024

    An alloy contains the metals A, B and C in the ratio 2 : 3 : 1 and another contains the metals B, C and D in the ratio 5 : 4 : 3. If equal weights of both alloys are mixed together to form a third alloy, then how much part of the metal B is in new alloy?

  17. SSC CPO • 2020

    The value of 2/3 ÷ 3/10 of 4/9 - 4/5 × 1 1/9 ÷ 8/15 + 3/4 ÷ 1/2 is :

  18. SSC CPO • 2025

    Complement of an angle is 12° more than twice the angle. Find the angle.

  19. SSC CPO • 2023

    If sin A+ sin² A = 1 , then the value of cos⁴ A + cos⁶ A is:

  20. SSC CPO • 2025

    The square root of any prime number is:

  21. SSC CPO • 2024

    In an election between A and B, every fifth vote polled was marked as invalid by the machine. In the remaining votes, A wins the election with a margin of 2500 votes or 10% of the total votes polled, over B. If 90% of the invalid votes would have been in…

  22. SSC CPO • 2020

    A sum of Rs 8,200 was divided among A, B, and C in such a way that A has Rs 500 more than B, and C has Rs 300 more than A. How much was A's share ( in Rs)?

  23. SSC CPO • 2024

    The marked price of an immersion rod in an electronic store is ₹900. The store offers a discount of 12% on its sale. At what price (in ₹) can a customer buy it from the electronic store?

  24. SSC CPO • 2019

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

  25. SSC CPO • 2024

    Solve the following: (tanθ + secθ + 1)(cotθ - cosecθ + 1) = ?

  26. SSC CPO • 2020

    When a number is successively divided by 3, 4, abd 7, the remainders obtained are 2, 3 and 5, respectively. What will be the remainder when 84 divides the same number?

  27. SSC CPO • 2023

    Jonathan had borrowed a sum of money 3 years ago at 10% interest per annum compounded annually for a 5-year period, with the amount to be paid at the end of the period being ₹1,61,051. However, there is no pre-payment penalty and Jonathan has received some…

  28. SSC CPO • 2024

    The value of 64 ÷ [44 - (8 of 3 - 16 ) ÷ 4 × 20] is equal to:

  29. SSC CPO • 2022

    The price of a car is first increased by 35% and after that the price is decreased by 25% due to reduction in sales. What is the net percentage change in final price of the car?

  30. SSC CPO • 2022

    A hemisphere has 42 cm diameter. Find its curved surface area and the total surface area.

  31. SSC CPO • 2023

    Find the fourth proportional to 0.48, 0.84, and 32.

  32. SSC CPO • 2025

    The average of 5 numbers is 20. What is the sum of these numbers?

  33. SSC CPO • 2025

    A sum of money invested at compound interest amounts to Rs. 1,000 in 3 years and 1,200 in 4 years. Find the rate of interest.

  34. SSC CPO • 2025

    A sum of money amounts to Rs. 800 in 3 years and to Rs. 920 in 4 years at some rate of simple interest. The sum is how much?

  35. SSC CPO • 2019

    Pipe A and B can fill an empty tank in 6 and 8 hours respectively while pipe C can empty the full tank in 10 hours. If the three pipe are opened together, then the tank will get filled in?

  36. SSC CPO • 2019

    Let ΔABC ~ ΔQPR and ratio of the area of ΔABC and ΔQPR is 9 : 16. If AB = 12 cm, BC = 6 cm, and AC = 9 cm, then find the value of PR.

  37. SSC CPO • 2025

    A shopkeeper sells 5 types of fruits. The average cost of each fruit is ₹40. What is the total cost of all fruits?

  38. SSC CPO • 2023

    The following table shows the percentage population of four towns below the poverty line and the proportion of males and females: [Table] If the total population of town C is 8000 then what is the number of females above the poverty line in state C?

  39. SSC CPO • 2024

    Two numbers are in the ratio of 3 : 7. If 11 is subtracted from each, the ratio between the numbers becomes 7 : 20. Find the smaller number.

  40. SSC CPO • 2019

    Vivek can do a certain work in 14 days. Vishal is 75% more efficient than Vivek. How many days will Vishal alone take to do the same work?

  41. SSC CPO • 2023

    The table below shows the number of trees planted by the government in 4 different years. [Table] Find the ratio between the number of neem trees planted in the year 2021 and the number of birch trees planted in the year 2022.

  42. SSC CPO • 2019

    A 22 m mong ladder (whose foot is on the ground) leans against a wall making an angle of 60º with the wall. What is the height (in m) of the point where the ladder the wall from the ground?

  43. SSC CPO • 2024

    The value of ( 2cos⁡³θ−cos⁡θover sin⁡θ−2sin⁡³θ )² +1, 0 ≠ 45° is:

  44. SSC CPO • 2019

    A vessel contains a solution of two liquids A and B in the ratio 5 : 3. When 10 liters of the solution is taken out and replaced by the same quantity of B, the ratio of A and B in the vessel becomes 10 : 11. the quantity (in liters) of the solution, in the…

  45. SSC CPO • 2022

    The value of 23 cosec²A − 23 cot²A is:

  46. SSC CPO • 2022

    The cost of two varieties of tea is ₹300 and ₹375 respectively. If both the varieties of tea are mixed together in the ratio 3 : 2, then what should be the price of mixed variety of tea per kg?

  47. SSC CPO • 2023

    By selling a table for ₹1,596, Aarav loses 24%. At what price (in ₹) should he sell it to gain 24%?

  48. SSC CPO • 2023

    At a courier shop, the weights of 8 parcels were found to be 1.5 kg, 1.25 kg, 1.35 kg, 750 gm, 950 gm, 0.7 kg, 0.4 kg, and 0.5 kg. Find their average weight.

  49. SSC CPO • 2022

    The height and curved surface area of a right circular cylinder are 7 cm and 70 π cm². Its total surface area is:

  50. SSC CPO • 2020

    The value of 1 - 3 ÷ 6 of 2 + (4 ÷ 4 of 1/4) ÷ 8+ (4 × 8 ÷ 1/4) × 1/8 is :