Quantitative Aptitude PYQ — Page 170

24,303 questions across SSC exams.

  1. SSC CGL • 2016

    Three runners A,B and C run a race, with runner A finishing 12 meters ahead of runner B and 18 meters ahead of runner C, while runner B finishes 8 meters ahead of runner C. Each runner travels the entire distance at a constant speed. The length of the race…

  2. SSC GD • 2023

    A can do a piece of work in 20 days and B can do the same in 24 days. How many days will they take if both work together?

  3. SSC CHSL • 2024

    A largest possible sphere is carved from a cube of side 14 cm. What is its volume in cm³?

  4. SSC GD • 2023

    M can do a piece of work in 12 days and N in 24 days. They begin together, but M leaves the work 6 days before the completion of the work. Find the total number of days to complete the entire work.

  5. SSC CGL • 2021

    Places A and B are 45 km apart from each other. A car starts from place A and another car starts from place B at the same time. If they move in the same direction, they meet in 4 and a half hours and if they move towards each other, they meet in 27 minutes…

  6. SSC GD • 2021

    The average weight of 6 persons increases by 1.5 kg when a new person comes in place of one of them who was weighing 65 kg. What is the weight of the new person?

  7. SSC CHSL • 2022

    A loan of ₹ 8,925 is to be paid back in two equal half-yearly instalments. How much is each instalment if the interest is compounded half-yearly at 8% per annum?

  8. SSC CHSL • 2019

    If (3x + 1)³ + (x – 3)³ + (4 – 2x)³ + 6(3x + 1) (x – 3) (x – 2) = 0, then x is equal to:

  9. SSC CGL • 2025

    Convert 0.5 radians to degrees.

  10. SSC Selection Post • 2022

    In an examination, the number of those who passed and the number of those who failed were in the ratio 25 : 4. If three more had appeared and the number of those who failed was 3 less than earlier, the ratio of passers to failures became 21 : 3. The total…

  11. SSC CHSL • 2019

    If a + 1/a = 3, then the value of (a⁶ + 1/a⁶ ) is equal to:

  12. SSC Selection Post • 2019

    In an examination, the ratio of the number of students who passed and the number of students who failed was 25 : 4. If three more students appeared in the examination and the number of students who failed decreased by 3 as compared to earlier, So the ratio…

  13. SSC CGL • 2024

    Find the value of 'k' for which the system of equations 4x + 6y = 7 and 6x + (k + 4)y - 21 = 0 has a unique solution.

  14. SSC CGL • 2022

    The following bar graph shows the total number of youth (in lakhs) and the number of employed youth (in lakhs) in 5 states A, B, C, D and E. What is the percentage of employed youth in states A and E taken together? [Image]

  15. SSC CHSL • 2022

    Aman has taken a loan of Rs.50,000 from a bank at the rate of 8% to be compounded annually. How much does he have to pay after 3 years? (Nearest to a Rs.)

  16. SSC CHSL • 2024

    The price of a motorcycle was $750 last year. The price increased by 20% this year. What is the price of the motorcycle this year?

  17. SSC CGL • 2019

    In ΔACE, B and D are the points on side AC and CE, respectively, such that BD || AE and AE/BD = 8/3. What is the ratio of the area of ΔBDC to that of ΔAEC?

  18. SSC CHSL • 2025

    The difference between the compound interest and simple interest on a sum for 2 years at 10% p.a. is ₹15. What is the sum?

  19. SSC MTS • 2022

    A milkman purchases milk at ₹'a' per litre and sells it at ₹1.5a per litre. Still he mixes 2 litres water with every 9 litres of pure milk. What is his profit percentage?

  20. SSC CHSL • 2024

    A man looks at the reflection of the top of the lamp-post on the mirror that is 6.6 m away from the foot of the lamppost. The man’s height is 1.25 m and he is standing 2 m away from the mirror. Assuming that the mirror is placed on the ground, facing the sky…

  21. SSC CGL • 2023

    The following pie chart shows the annual expenditure on different items. What is the minimum angle in the given pie chart? [Image]

  22. SSC CGL • 2024

    Study the given bar-graph and answer the question that follows. The bar-graph shows the sales of books (in thousands) from six branches (B1, B2, B3, B4, B5 and B6) of a publishing company during two consecutive years 2000 and 2001. [Image] What percent of…

  23. SSC CHSL • 2023

    A train starts from a station P for another station Q at 6 p.m. at an average speed of 75 km per hour. Another train starts from station Q for station P at 8 p.m. at an average speed of 105 km per hour. If the distance between these two stations is 690 km…

  24. SSC MTS • 2022

    22 boys, working together, can complete a work in 10 days, whereas 25 boys and 12 girls take 8 days to complete the same work. In how many days can only 6 girls, working together, complete the same work?

  25. SSC CHSL • 2021

    A can do a piece of work in 12 days. He worked for 6 days and left, and then B finished it in 10 days. If both work together then, in how many days will they finish the same work?

  26. SSC GD • 2024

    The numerator of a fraction is increased by 88% and the denominator is increased by 55%. The value of the fraction becomes 1504/775. What is the original fraction?

  27. SSC CGL • 2024

    Simplify: 1020 ÷ [ 4over3 of (26 + 4) – 11 2over3 ]

  28. SSC CHSL • 2020

    A train travels the distance between stations P and Q at a speed of 126 km/h, while in the opposite direction it comes back at 90 km/h. Another train travels the same distance at the average speed of the first train. The time taken by the second train to…

  29. SSC CGL • 2018

    The angle of elevation of an aeroplane from a point on the ground is 60o. After flying for 30 seconds, the angle of elevation changes to 30o. If the aeroplane is flying at a height of 4500 m, then what is the speed (in m/s) of aeroplane?

  30. SSC CHSL • 2021

    If the diameter of the base of a cone is 18 cm and its curved surface area is 4242 over 7cm² , then its height will be: (Take π=22 over 7

  31. SSC CHSL • 2022

    The difference between a discount of 35% on ₹8,000 and two successive discounts of 20% and 15% on the same amount is:

  32. SSC CHSL • 2024

    The radius of a sphere is increased by 25%. What is the increase percent in surface area?

  33. SSC GD • 2021

    Seema works at a rate such that she can finish a work in 28 h, but she works at this rate for 7 h only. After diet, she works at a rate such that she can finish the remaining work in 16 h. If seema is to finish this work at a stretch how many hours (total)…

  34. SSC CHSL • 2019

    If x⁴+ x⁻⁴= 1442, (x > 0) then the value of x - x⁻¹is:

  35. SSC GD • 2019

    A student got 24% marks in an exam and he failed by 56 marks. If he got 60% marks, then his marks are 70 more than the minimum passing marks. What is the maximum marks for the exam?

  36. SSC Selection Post • 2024

    Find the average of all prime numbers between 42 and 75.

  37. SSC Selection Post • 2022

    A dishonest shopkeeper claims to sell his articles at the cost price but uses 950 g instead of one kilogram. What is his profit (rounded off to 1 decimal place) percentage?

  38. SSC Selection Post • 2022

    A dealer marks an article 40% above its cost price and sells it by giving two successive discounts of 15% and 25% on the marked price. If he suffers a loss of ₹43, then the marked price (in ₹) of the article is:

  39. SSC CGL • 2024

    Mohan borrows a sum of ₹4,22,092 at the rate of 20% per annum simple interest. At the end of the first year, he repays ₹21,679 towards return of principal amount borrowed. If Mohan clears all pending dues at the end of the second year, including interest…

  40. SSC CGL • 2023

    The average of 8 numbers is 18. If one of the numbers is excluded, the average becomes 20. Find the excluded number.

  41. SSC Selection Post • 2022

    How much chicory at Rs.5 per kg should be added to 10 kg of coffee at Rs.12 per kg so that the mixture will be worth Rs.7.50 per kg?

  42. SSC CHSL • 2025

    A does 1/3 of work in 10 days, B completes 1/4 of the same in 5 days. Who is more efficient and by what percentage?

  43. SSC CHSL • 2023

    Janki purchased 10 dozen of corn at the rate of Rs. 180 per dozen. She sold each corn at the rate of Rs. 22. What was her percent profit?

  44. SSC Selection Post • 2024

    A and B can complete a piece of work in 25 days and 55 days, respectively. The total number of days (in whole number) to complete the work, if A and B both work together, is:

  45. SSC CHSL • 2023

    The radius of a circle is 21 cm. What will be the length (in cm) of an arc of the circle that subtends a 22.5° angle at the centre? [Use π=22/7 ]

  46. SSC CGL • 2022

    Numbers divisible by 9 between 43 and 481 are:

  47. SSC GD • 2023

    A and B can complete a work in 18 days and 27 days, respectively. They start working together and after 8 days, A leaves. In how many days B complete the remaining work?

  48. SSC GD • 2021

    A worker can complete a job in 25 days. If supervisor are 25% more efficient than worker, then how many days will 1 supervisor and 5 workers, working together, take to complete the job?

  49. SSC Selection Post • 2024

    A policeman notices a thief from a distance of 300 m. The thief starts running and the policeman chases him. The thief and the policeman run at speeds of 10 km/h and 12 km/h, respectively. What will be the distance between them (in m) after 6 minutes?

  50. SSC CHSL • 2023

    Nutan gets two offers of loans from a bank and an app. The app offered Rs. 10,000 at 15% per annum compounded annually for 2 years, and the bank offered the same amount at the same rate and for the same time, but with simple interest. Find the difference…