Quantitative Aptitude PYQ — Page 464

24,303 questions across SSC exams.

  1. SSC CPO • 2025

    If a² + b² = 100 and a − b = 4, find the value of ab.

  2. SSC CPO • 2019

    The lengths of the parallel sides of a trapezium are 51 cm and 21 cm, and that of each of the other two sides is 39 cm. What is the area (in cm²) of the trapezium?

  3. SSC CPO • 2024

    The following pie-chart shows details of the per month expenditure of a family. Study the pie-chart carefully and answer the question that follows. [Image] The expenditure on rent, medicines and electricity together is what percentage of the expenditure on…

  4. SSC CPO • 2025

    The difference between the square of a number and the square of its half is 432. What is the number?

  5. SSC CPO • 2023

    The LCM and HCF of two numbers are 1105 and 5. If the LCM is 17 times the first number, then find the two numbers.

  6. SSC CPO • 2020

    A single discount equivalent to three successive discounts of 8%, 15% and 12% is :

  7. SSC CPO • 2020

    The given bar graph shows the number of students of two schools over a period of six years. [Image] In the bar graph, what is the ratio of the students taken for years the 2008, 2012, 2013 together from school A to th students taken for the years 2009, 2010…

  8. SSC CPO • 2024

    The quality of milk in a mixture of milk and water is 4/5 of th volume of the mixture. after adding 1 litter of milk to 5 liters of the mixture. the percentage of waterin the mixture is :

  9. SSC CPO • 2020

    If the total marks obtained by students are represented as a pie chart, then the central angle of the sector representing marks 200 or more but less than 300, is : ( correct to the nearest degree)

  10. SSC CPO • 2025

    If the sum of the interior angles of a regular polygon is 2520°, determine the number of sides and the total number of diagonals of the polygon.

  11. SSC CPO • 2019

    The value of [Image] is (1 – k), where k = ?

  12. SSC CPO • 2025

    If the square root of a number is subtracted from the number, the result is 272. What is the number?

  13. SSC CPO • 2023

    Find the ratio of tourists from the country coming in during March and April.

  14. SSC CPO • 2023

    Vipin can do a piece of work in 2 days; Vaibhav can do the same work in 3 days and Chirag can do the same work in 6 days. If they start working together, how many days will they take to complete the work?

  15. SSC CPO • 2023

    Study the pie-chart given below, and answer the question that follows. Percentage-wise break up of students in terms of specialisation in BTech [Image] What is the total number of students having specialisation in CSE, ECE and CIVIL?

  16. SSC CPO • 2019

    A sum of Rs. 12800 is invested partly at 15% per annum and the remaining at 12% per annum simple interest. If the total interest at the end of 3 years is Rs. 5085, then how much money was invested at 15% per annum?

  17. SSC CPO • 2025

    If the exterior angle of a regular polygon is 45°, how many diagonals does the polygon have?

  18. SSC CPO • 2022

    The following table gives the number of patients visiting a dental clinic for the issues related to their oral health during the months May, June, July and August in 2015. Study the table carefully and answer the question that follows. [Image] For the given…

  19. SSC CPO • 2019

    A can do 4/5 of a work in 20 days and B can do 3/4 of the same work in 15 days. They work together for 10 days. C alone completes the remaining work in 1 day. B and C together can complete 3/4 of the same work in:

  20. SSC CPO • 2020

    How many numbers between 400 and 700 are divisible by 5, 6 and 7?

  21. SSC CPO • 2024

    A 255-m long train is running at a speed of 72 km/h. It crosses a platform of length 745 m in:

  22. SSC CPO • 2024

    A person deposited some amount of money in the bank at simple interest. After 20 years, the amount became nine times the amount deposited. In how many years will the amount become 13 times the amount if the interest rate remains the same?

  23. SSC CPO • 2022

    Evaluate sin54ᵒ over cos36ᵒ + sec46ᵒ over cosec44ᵒ

  24. SSC CPO • 2022

    A chord of a circle is equal to its radius of length 9 cm. Find the angle subtended by it in major segment.

  25. SSC CPO • 2019

    Study the graph and answer the question. Percentage Distribution of Total Expenditure of a Company in 2012. [Image] What is the ratio of the total expenditure on salary and interest on loans to the total expenditure on infrastructure and transport?

  26. SSC CPO • 2025

    A student scored marks in 5 subjects: 72, 68, 74, 70, and one unknown subject. If his average is 71, what is the missing mark?

  27. SSC CPO • 2022

    The value of rm ((x-y)³+(y-z)³+(z-x)³)/((x²-y²)³+(y²-z²)³+(z²-x²)³) where x ≠ y ≠ z, is:

  28. SSC CPO • 2020

    The given histogram shows the height of the students. [Image] What is the percentage of students whose height is in the class interval 160 - 170? ( correct to the nearest integer )

  29. SSC CPO • 2025

    A cylinder and a hemisphere have the same radius. If the curved surface area of ​​the hemisphere is 128 square centimeters, find the area of ​​the base of the cylinder.

  30. SSC CPO • 2023

    Avi sold a house to Bhargav at a gain of 10% and Bhargav sold it to Chetan at a gain of 20%. If Chetan paid ₹2,64,00,000 for it, then at what price must Avi have purchased it?

  31. SSC CPO • 2024

    Akash and Vikash can complete a work in 40 days and 60 days, respectively. In how many days will the entire work be completed if they work on alternate days, starting with Akash?

  32. SSC CPO • 2023

    A sector of a circle has a central angle of 45° and an arc length of 22 cm. Find the radius of the circle. ( Use π = 22 over 7 ).

  33. SSC CPO • 2022

    Find the area of triangle whose sides are 10 cm, 12 cm, and 18 cm.

  34. SSC CPO • 2024

    The following bar graph indicates the demand and production (in hundreds) of 5 companies A, B, C, D and E. X-axis indicates the demand and production (in hundreds) and Y-axis indicates the companies. Study the bar graph carefully and answer the question that…

  35. SSC CPO • 2023

    If (48 ÷ 72 × 3) – [15 ÷ 8 × (40 – 32) – 10] + 2P = 6 ÷ 2, then find the value of P?

  36. SSC CPO • 2024

    A drink is made by mixing water and juice in the ratio 9 : 7. If x litres of water and 2x litres of juice are mixed in 160 litres of drink, then the new ratio becomes 13 : 15. The quantity of drink (in litres) is:

  37. SSC CPO • 2019

    The LCM of 165, 176, 385, and 495 is k. When k is divided by the HCF of the numbers, the quotient is p. What is the value of p?

  38. SSC CPO • 2024

    If cotθ = 28/45, then find the value of (sinθ - cosθ).

  39. SSC CPO • 2022

    The length of mountains in Punjab is what percentage more than the length of rivers in Odisha?

  40. SSC CPO • 2024

    Ronak and Riya can do a work in 12 and 18 days, respectively. They worked together for six days and then Ronak left. Find the time taken by Riya to complete the work.

  41. SSC CPO • 2019

    Study the graph and answer questions. [Image] In how many years were the exports of the country more than the average imports during the given years?

  42. SSC CPO • 2019

    A can finish one-third of work in 5 days, B can finish two-fifth of the same work in 10 days and C can finish 75% of the same work in 15 days. They work together for 6 days. In what time B can finish the remaining work?

  43. SSC CPO • 2019

    The number of students who obtained 20 marks or more but less than 60 marks is:

  44. SSC CPO • 2023

    What is the number of balls of diameter 4 cm that fall from a solid metal sphere of diameter 32 cm?

  45. SSC CPO • 2022

    What is the length of the longest pole that can fit itself in a hall 60 feet long, 30 feet broad and 20 feet high?

  46. SSC CPO • 2023

    If 2 men or 4 women can build a wall in 34 days, in how many days can 6 men and 5 women build the same wall?

  47. SSC CPO • 2022

    On a straight road, a bus is 30 km ahead of a car travelling in the same direction. After 3 hours, the car is 60 km ahead of the bus. If the speed of the bus is 42 km/h, then find the speed of the car.

  48. SSC CPO • 2025

    The average of 6 positive numbers is 10. If one number is excluded, the average becomes 9. What is the excluded number?

  49. SSC CPO • 2023

    A cylindrical metallic rod of diameter 2 cm and length 45 cm is melted and converted into wire of uniform thickness and length 5 m. The diameter of the wire is:

  50. SSC CPO • 2019

    The following pie-chart and table show the percentage distribution of farmers in 5 states A, B, C, D & E of a country who claimed insurance due to drought in the year 2017 and ratio of males to females of the number of farmers in states, respectively. Study…