Quantitative Aptitude PYQ — Page 290

24,303 questions across SSC exams.

  1. SSC CGL • 2016

    A man buys 3 type-I cakes and 6 type-II cakes for Rs. 900. He sells type-I cakes at a profit of 15% and type-II cakes at a loss of 10%. If his overall profit is

  2. SSC CHSL • 2023

    If x+1/x=2 , then the value of x¹¹+1/(x²⁰) is:

  3. SSC CGL • 2021

    If (x + y)³ + 27 (x - y)³ = (Ax - 2y) (Bx² + Cxy + 13 y²), then the value of A - B - C is:

  4. SSC CGL • 2023

    If x + 1/x = 7, then the value of x⁶ + 1/x ₆is:

  5. SSC Selection Post • 2022

    When 44 is subtracted from a number; it reduces to its 60%. Three-fifth of that number is:

  6. SSC CHSL • 2022

    Inside a triangle ABC, a straight line parallel to BC intersects AB and AC at the points P and Q, respectively. If AB = 6PB, then PQ ∶ BC is _____.

  7. SSC CHSL • 2024

    Akhil can complete a piece of work in 24 days. Shyam can complete the same piece of work in 12 days. If both of them work together, in how many days can they complete the same piece of work?

  8. SSC CHSL • 2020

    If a + b = 8 and ab = 12, then the value of a³ + b³ is:

  9. SSC GD • 2021

    By selling an article for ₹ 170, a man loses 15%. What percent will he gain or lose, if he sells it for ₹ 206.40?

  10. SSC GD • 2019

    The amounts of Rs. 7500 at compound interest at 4% per annum for 2 years, is:

  11. SSC CGL • 2020

    In a school, 4% of the students did not appear for the annual exams. 10% of the students who appeared for the exams could not pass the exam. Out of the remaining students, 50% got distinction marks and 432 students passed the exam but could not get…

  12. SSC CHSL • 2019

    In a ΔABC, the bisectors of ∠B and ∠C meet at point O within the triangle. If ∠BOC is given, then which among the given options is true?

  13. SSC CHSL • 2024

    Moving at 6/7 of its usual speed, a bus is 20 minutes late. What is its usual time to cover the journey?

  14. SSC Selection Post • 2024

    If two-fifths of three-eighths of one-sixth of a certain number is 52, what is 40% of the number?

  15. SSC Selection Post • 2020

    A circle circumscribes a rectangle whose sides are in the ratio of 4: 3. If the area of the rectangle is 192 cm², then the perimeter (in cm) of the circle is:

  16. SSC Selection Post • 2024

    If three angles of a triangle are (18x + 6°), (10x + 30°) and (15x + 15°), then the triangle is:

  17. SSC Selection Post • 2022

    A 280 m long train is running at a speed of 54 km/h. In how much time (in seconds) will it cross a man moving at 12 km/h in the same direction as that of the train?

  18. SSC Selection Post • 2024

    There is a large cone with a diameter of 14 m and a height of 12 m. It is being filled with water at a rate of 2 m³ in every 20 seconds. How long will it take to fill the cone?

  19. SSC CHSL • 2021

    Two persons P and Q are 844 m apart. They both start cycling simultaneously in the same direction with speeds of 12 m/s and 8 m/s, respectively. In how much time will P overtake Q?

  20. SSC CHSL • 2021

    The average weight of some persons in a group is 72 kg. When 5 persons with average weight 66.6 kg join and 12 persons with average weight 75 kg leave the group, the average weight of the persons in the group decreases by 1.65 kg. How many persons were there…

  21. SSC CHSL • 2025

    A metallic conical bowl with base radius 10 cm and height 24 cm is uniformly heated, increasing all dimensions by 10%. By how much does the volume increase?

  22. SSC CHSL • 2023

    The perpendicular distance from the center of a circle to the chord is 20 cm. Calculate the chord's length in centimeters if the circle's diameter is 58 cm.

  23. SSC CGL • 2022

    The population of country A decreased by p% and the population of country B decreased by q% from the year 2020 to 2021. Here 'p' is greater than ‘q’. Let 'x' be the ratio of the population of country A to the population of country B in the given year. What…

  24. SSC CGL • 2020

    The diagonal of a square A is (a + b) units. What is the area (in square units) of the square drawn on the diagonal of square B whose area is twice the area of A?

  25. SSC CHSL • 2024

    If 6428A83 is divisible by 9, then the value of A is equal to :

  26. SSC CHSL • 2025

    If x = √3 + √2, then find the value of x² - 2√6.

  27. SSC CGL • 2025

    A triangular traffic sign has sides measuring 13 m, 14 m, and 15 m. If the cost to paint the sign is ₹5 per square meter, what will be the total expense to paint the entire sign?

  28. SSC Selection Post • 2022

    Study the given bar graph and answer the question that follows. The bar graph shows the number of students enrolled in Institutes A and B during 5 years (2014 to 2018). [Image] If the students of Institute A for each year are represented on a pie chart, then…

  29. SSC GD • 2019

    The line chart given below shows the production (in 10000s) of cars in 7 different months. [Image] What is the average monthly production for the given 7 months?

  30. SSC CHSL • 2025

    Chetan invested Rs. 9,000 for 12 months, and Sahir invested Rs. 6,000 for 6 months. If the total profit of the business is Rs. 18,000, how much will Chetan receive?

  31. SSC CGL • 2025

    A fruit seller sells oranges at a loss of 8% on the cost price but uses a weight that is 25% less than the actual weight. Find his total profit percentage.

  32. SSC CHSL • 2023

    The pie chart shows the angular representation of placement data in five different courses. If the total number of candidates qualified is 1.44,000, then the number of candidates in Q is what per cent of candidates in S? (Rounded off to 2 decimal places)…

  33. SSC GD • 2019

    In an election between-Ravi and Manoj, Ravi gets 61% of the total valid votes. If total votes were 25000 and 20% of the total votes were declared invalid, then other candidate Manoj get how much number of votes?

  34. SSC CGL • 2024

    A person earns ₹16,000 per month and spends 80% of his income and saves the remaining amount. If his income increases by 20% and expenditure by 10%, find the percentage of increase in his savings.

  35. SSC CGL • 2024

    Ramesh has ₹18,000. He deposited ₹7,000 in a bank at the rate of 5% per annum and ₹6,000 in other bank at the rate of 6% per annum simple interest. If he received ₹1,160 as simple interest at the end of one year, then the rate of interest per annum on rest…

  36. SSC CGL • 2025

    A triangular prism has a base with area 45 cm² and height 14 cm. If 10% of the prism is hollowed out for wiring, what is the volume of the solid part?

  37. SSC CHSL • 2025

    A small temple dome is shaped like a hemisphere of radius 3.5 m. How much area (in square meters) must be painted on the curved surface?

  38. SSC CGL • 2025

    In a company, the average salary of 5 engineers is Rs. 60,000. If one engineer leaves and the average salary becomes Rs. 58,000, what was the salary of the engineer who left?

  39. SSC CHSL • 2025

    A regular octagon is paved inside a circular traffic junction. What is the sum of all internal angles?

  40. SSC CHSL • 2025

    A designer creates a regular polygonal clock with each internal angle 150°. How many sides does it have?

  41. SSC CGL • 2025

    The average of 12 results is 75. If the top two results are excluded, the average becomes 72. What is the average of the top two results?

  42. SSC CGL • 2022

    The value of (48.3×[(4.95)²+4.95times13.25])/([(12.25²-(5.65)²]times19.8) is:

  43. SSC Selection Post • 2020

    The sides of a triangular field are 56 m, 90 m, and 106 m. The cost of levelling the field at ₹6.80 per m² is:

  44. SSC CGL • 2022

    The length of the body diagonal of a cube is 8 √(3) cm. What is the volume (in cm³) of the cube?

  45. SSC Selection Post • 2022

    A number is first increased by 5% and then it is further increased by 15%. The original number increased altogether by:

  46. SSC CGL • 2021

    Two pipes A and B can fill an empty tank in 10 hours and 16 hours respectively. They are opened alternately for 1 hour each, opening pipe B first. In how many hours, will the empty tank be filled?

  47. SSC CHSL • 2025

    At simple interest, a certain amount of money doubles in five years. What is the interest rate?

  48. SSC CGL • 2024

    The radii of the two cones are in the ratio of 2 : 5 and their volumes are in the ratio of 3 : 5. What is the ratio of their heights?

  49. SSC CGL • 2023

    If tan x = - 12/5 , where x lies in the second quadrant, what is the value of sin x - cot x?

  50. SSC CGL • 2021

    In an experiment, 45% of all the students who appeared are boys and the rest are girls. If 60% of the boys and 70% of the girls passed, then what is the percentage of students who failed?