SarkariPYQ

Quantitative Aptitude PYQ — Page 70

24,303 questions across SSC exams.

  1. SSC Selection Post • 2025

    A bike rider travels 30 kilometers at a velocity of 5 km/h and then comes back along the same path at 6 km/h. What is the cyclist's average speed for the entire trip?

  2. SSC Selection Post • 2025

    A water tank can be filled by two inlets, labeled A and B, in 12 hours and 15 hours respectively. An outlet pipe C can empty the tank in 10 hours. If all three pipes are opened together, how much time will it take to fill the tank?

  3. SSC Selection Post • 2025

    Two ships take different routes to reach the "spice capital of the world". The Distances travelled by the two ships are in the ratio of 3:2. Ship 1 moves at 40kmph, and ship 2 travels at 60kmph. If the two ships arrived at their destination with a Time gap…

  4. SSC Selection Post • 2025

    Which of the following statements is always true for any right prism?

  5. SSC Selection Post • 2025

    A train departs from Station P for Station Q at 9:00 AM, traveling at a speed of 60 km/h. Another train departs from Station Q for Station P at 11:00 AM traveling at a speed of 75 km/h. The distance between the two stations is 585 km. At what time will the…

  6. SSC CGL • 2022

    The value of (0.3)^([{(200-146)/(3x3x3)}-3]) is:

  7. SSC Selection Post • 2025

    Given: p/a + q/b + r/c = 1 and q/p + b/q + c/r = 0, where p, q, r and a, b, c are non-zero; then the value of p²/a² + q²/b² + r²/c² is...

  8. SSC CGL • 2019

    The value of [Image] is?

  9. SSC CGL • 2016

    The whole surface area of a pyramid whose base is a regular polygon is 340 cm² and area of its base is 100 cm² . Area of each lateral face is 30 cm² . Then the number of lateral faces is ?

  10. SSC Selection Post • 2025

    Match the sets in Column I with their correct descriptions in Column II: [Image]

  11. SSC CGL • 2018

    A and B started a partnership business investing some amount in the ratio of 5 : 6. C joined then after 6 months with an amount equal to 2/3rd of B. What was their profit (in Rs) at the end of the year if C got Rs 21,600 as his share?

  12. SSC Selection Post • 2025

    A can lay a stretch of track in 8 days, B in 10 days. They undertake the work for ₹ 3,600. With C joining them, the job is finished in 4 days. How much should C receive?

  13. SSC CGL • 2017

    Mr. Kapur purchased two toy cycles for Rs 750 each. He sold these cycles, gaining 6% on one and losing 4% on the other. The gain or loss percent in the whole transaction is:

  14. SSC Selection Post • 2025

    Out of 500 students, 60% are girls. 25% of the girls play football. How many girls play football?

  15. SSC Selection Post • 2025

    A solution contains 30% of substance S and 70% of substance T by weight. If the solution has a total mass of 1200 grams, and 300 grams of substance S are added to it, what is the new percentage concentration of substance S in the solution?

  16. SSC CGL • 2016

    Due to 25% fall in the rate of eggs, one can buy 2 dozen eggs more than before by investing Rs.162. Then the orignal rate per dozen of the eggs is

  17. SSC Selection Post • 2025

    An airplane is in level flight at an altitude of 1.5 km from the ground is observed at an angle of elevation of 60°. After 10 seconds, its angle of elevation is observed to be 30°. The speed of the airplane in km/hr is:

  18. SSC Selection Post • 2025

    If ₹12,000 is deposited in a simple interest account that yields 10% annually, what will be the interest earned after two and a half years?

  19. SSC CGL • 2018

    ABCDEF is a regular hexagon of side 12 cm. What is the area (in cm²) of the triangle ECD?

  20. SSC CGL • 2025

    Multiply 12.345 by 0.067 and round your answer to 4 decimal places.

  21. SSC CGL • 2020

    The ratio of the radii of two cones is 5 : 6 and their volumes are in the ratio 8 : 9. The ratio of their heights is:

  22. SSC Selection Post • 2025

    A runner is jogging on a circular track with a circumference of 400 meters. If the runner maintains a constant speed of 8 km/h, how much time will it take to complete 5 laps around the track?

  23. SSC Selection Post • 2025

    How does the volume of a sphere change when its radius is doubled?

  24. SSC Selection Post • 2025

    A student scored 14.75 out of 20 in Science and 17.5 out of 25 in Maths. In which subject did she score better percentage-wise?

  25. SSC Selection Post • 2025

    Let x and y be angles such that sin(x + y) = 0 and cos(x - y) = 1. What is the value of the expression: (cos x + cos y)² + (sin x - sin y)²?

  26. SSC CGL • 2018

    In the given figure, ABCDEF is a regular hexagon whose side is 6 cm. APF, QAB, DCR, and DES are equilateral triangles. What is the area (in cm²) of the shaded region? [Image]

  27. SSC Selection Post • 2025

    A student scores an average of 70 in four subjects. What should he score in the fifth subject to have an average of 75?

  28. SSC CGL • 2022

    A trader gains 25% by selling an article with 20% discount on its marked price. If the cost price of the article increases by 30%, then how much discount (in %) should he offer on the same marked price to gain 15% of the profit?

  29. SSC Selection Post • 2025

    If x + 1/(x + 1) = 6, then determine the value of (x + 2)³ + 1/(x + 2)³.

  30. SSC Selection Post • 2025

    The income of A is 25% more than B's income, and B's income is 20% less than C's income. If A's income is ₹9,000, what is C's income?

  31. SSC Selection Post • 2025

    A student scored 72 marks in an exam and failed by 8 marks. If the pass percentage is 40%, what was the total mark?

  32. SSC CGL • 2019

    (sec θ - tan θ)²(1 + sin θ)² ÷ sin² θ = ?

  33. SSC Selection Post • 2025

    A man borrowed ₹10,000 from two different moneylenders. One charges 5% simple interest per annum, and the other 7%. After 2 years, the total interest paid was ₹1,120. Find how much he borrowed from each.

  34. SSC Selection Post • 2025

    A train crosses a 180-meter-long platform in 20 seconds and a man standing on the platform in 12 seconds. What is the length of the train?

  35. SSC Selection Post • 2025

    A vertical tower casts its gaze upwards from the ground. If you stand 30 meters from its base and look up at a 30-degree angle to its peak, how tall is the tower?

  36. SSC Selection Post • 2025

    The population of a village is 12,000. If it increases by 10% the first year and decreases by 5% the next year, what is the population after 2 years?

  37. SSC Selection Post • 2025

    How many two-digit numbers satisfy this property? The last digit (unit's digit) of the square of the two-digit number is 8.

  38. SSC CGL • 2025

    If 3 cot A = 4, then find the value of (3 sin A - 4 cos A).

  39. SSC Selection Post • 2025

    The cost of a flower vase is ₹160. If the shopkeeper sells it at a loss of 15%, at what price is it sold?

  40. SSC Selection Post • 2025

    A man bought an old car for ₹15000. He spent ₹2500 on its repairs and then sold it for ₹19250. What is his percentage profit?

  41. SSC Selection Post • 2025

    If a price is reduced by 10% and then again reduced by 20%, what is the overall percentage decrease?

  42. SSC Selection Post • 2025

    A seller buys 240 Television. He sells some of them at a gain of 20% and the remaining at a gain of 30%. If he gains 28% on the whole, then how many did he sell at a gain of 20%?

  43. SSC Selection Post • 2025

    A triangle has an area of 45 cm² and a base of 15 cm. What is its height?

  44. SSC Selection Post • 2025

    A scholarship fund of ₹1200 is to be distributed between two students, A and B, in a ratio 5:3. However, after allocating ₹200 to administrative charges, the remaining amount is first increased by 10% as a bonus before the final division. What amount will…

  45. SSC Selection Post • 2025

    An article was sold at a loss of 12%. If it was sold for ₹ 630 more, then there would have been a gain of 6%. Find the cost price of the article.

  46. SSC CGL • 2019

    If θ lies in the first quadrant and cos²θ - sin²θ = 1/2, then the value of tan²2θ + sin²3θ is ?

  47. SSC Selection Post • 2025

    There are 6 doors. Behind one is a car, and behind the other five are goats. You pick one door. The host, knowing the car's location, then opens 4 of the remaining doors, all revealing goats. You are then offered the opportunity to switch your choice to the…

  48. SSC Selection Post • 2025

    Pipe A can fill a tank in 10 hours, Pipe B in 20 hours. Pipe C can empty the full tank in 25 hours. If all are opened together, how long will it take to fill the tank?

  49. SSC CGL • 2018

    PQRS is a square whose side is 16 cm. What is the value of the side (in cm) of the largest regular octagon that can be cut from the given square?

  50. SSC Selection Post • 2025

    If a² + 1/a² = 14, find the value of a⁴ + 1/a⁴.