SarkariPYQ

Quantitative Aptitude PYQ — Page 73

24,303 questions across SSC exams.

  1. SSC Selection Post • 2025

    A researcher collected data on the growth of a specific bacteria strain in a new nutrient medium. The following table shows the colony diameter (in mm) for a sample of n=10 colonies after 24 hours. The average colony diameter is 5.65 mm, rounded to two…

  2. SSC Selection Post • 2025

    A vendor bought 100 oranges at ₹8 each. He sold 80 of them at ₹10 each and the remaining 20 oranges at ₹6 each. What is his overall profit or loss percentage?

  3. SSC Selection Post • 2025

    A contractor undertakes to do a piece of work in 60 days with 48 workers. After 30 days, only half the work is done. How many more workers are needed to complete the work in the scheduled time?

  4. SSC Selection Post • 2025

    If the marked price of an item is ₹1,500 and the selling price is ₹1,200, what is the percentage discount?

  5. SSC Selection Post • 2025

    Two cars start simultaneously from the same point, one traveling east at 50 km/h and the other traveling north at 70 km/h. How far apart are they after 2 hours?

  6. SSC CGL • 2018

    What are the total number of employee in department A and E together?

  7. SSC Selection Post • 2025

    A cycle is marked at ₹4,500 and sold for ₹3,600. What is the percentage discount?

  8. SSC Selection Post • 2025

    Two runners, P and Q, start running from the same point on an 800-meter circular track. They run in the same direction at speeds of 12 km/h and 9 km/h, respectively. If they run for 4 hours, how many times will they cross each other?

  9. SSC Selection Post • 2025

    The cost price of 12 articles is the same as the selling price of 8 articles. What is the profit percent?

  10. SSC Selection Post • 2025

    A shopkeeper gives two successive discounts of 10% and 5%. What is the net discount percentage?

  11. SSC Selection Post • 2025

    A shopkeeper sells his goods at 60% of their cost price. Find the percent gain or losses.

  12. SSC CGL • 2019

    What is the value of cosec(65° + θ) – sec(25° - θ) + tan²20° - cosec²70° ?

  13. SSC Selection Post • 2025

    From the summit of a 100 m high cliff, the angles of depression to two boats situated on the same side of the cliff are measured at 30° and 45° respectively. The boats are moving towards the cliff in a straight line. After 5 minutes, the angle of depression…

  14. SSC CGL • 2018

    In the given figure, AB, AE, EF, FG and GB are semicircles. AB = 56 cm and AE = EF = FG = GB. What is the area (in cm²) of the shded region ? [Image]

  15. SSC Selection Post • 2025

    From the top of a 150 m high cliff, an observer notices a car moving away from the base of the cliff. The angle of depression of the car changes from 45° to 30° in 15 seconds. What is the approximate speed of the car?

  16. SSC CGL • 2018

    What is the value of 2 sin 15º cos 15º – 4 sin³ 15º cos 15º ?

  17. SSC CGL • 2025

    A circle that has a radius of 5 centimeters, and there is a chord measuring 8 centimeters in length. What is the distance from the center of the circle to the chord?

  18. SSC CGL • 2018

    In the given figure, PQR is a quadrant whose radius is 7 cm. A circle is inscribed in the quadrant as shown in the figure. What is the area (in cm²) of the circle? [Image]

  19. SSC Selection Post • 2025

    A square and a rectangle have the same perimeter. The length of the rectangle is twice its width. If the side of the square is 12 meters, what is the difference between the area of the square and the area of the rectangle?

  20. SSC CGL • 2016

    Two regular polygons are such that the ratio between their number of sides is 1:2 and the ratio of measures of their interior angles is 3 : 4. Find the sum of the number of sides of each polygon.

  21. SSC CGL • 2017

    Aline of length 1.5 metres was measured as 1.55 metres by mistake. What will be the value of error percent?

  22. SSC Selection Post • 2025

    If the height of a cone is doubled while keeping the radius the same, how does the volume change?

  23. SSC Selection Post • 2025

    A climber ascends a vertical rock face at 5 m/min for the first 3 minutes, then at 3 m/min thereafter. From the bottom of the cliff, the angle of elevation to the climber is measured every minute. If at t=0 the angle is 30° and at t=7 min it is 60°…

  24. SSC CGL • 2020

    The price of a variety of a commodity is Rs 7/kg and that of another is Rs 12/kg. Find the ratio in which two varities should be mixed so that the price of the mixture is Rs 10/kg.

  25. SSC Selection Post • 2025

    Pipe A can fill an empty tank in 18 hours and pipe B in 24 hours. If both the pipes are opened and after 3 hours pipe A is closed, how much time (in hrs) B will take to fill the remaining tank?

  26. SSC CGL • 2016

    What % of a day is 30 minutes ?

  27. SSC Selection Post • 2025

    Two equal sums are lent at 6% and 9% simple interest per annum respectively. The interest received on both sums after 4 years differs by ₹150. Find each sum.

  28. SSC GD • 2023

    How many prime numbers are there between 40 and 50?

  29. SSC CGL • 2019

    If [Image] then the value of [Image] is ?

  30. SSC Selection Post • 2025

    An overhead water tank is made by placing a hemisphere over a cylinder. The cylinder has a height of 3m, and the radius of both shapes is 2m. What is the total volume of the tank in cubic meters? (Use π = 3.14)

  31. SSC Selection Post • 2025

    A company has two machines, M1 and M2, producing widgets. M1 produces 60% of the widgets and M2 produces 40%. 3% of M1's widgets are defective, and 5% of M2's widgets are defective. If a randomly selected widget is found to be defective, what is the…

  32. SSC CGL • 2025

    The efficiency of A, B and C is 2 : 3 : 5. A alone can complete the work in 40 days. They all worked together for 5 days and then C left the work. In how many days can A and B together complete the remaining work?

  33. SSC Selection Post • 2025

    A store offers two successive discounts on a product: the first is 12%, and the second is 8%. What is the single equivalent discount percentage?

  34. SSC Selection Post • 2025

    A shopkeeper sells a dress at 15% discount and still makes a 10% profit. What is the cost price if the marked price is ₹2,000?

  35. SSC Selection Post • 2025

    The base of a right prism is a right-angled triangle with legs 7 cm and 24 cm. The height of the prism is 12 cm.Find the lateral surface area of the prism.

  36. SSC Selection Post • 2025

    A spherical balloon is inflated so that its radius increases from 5 cm to 10 cm. By what factor does its surface area increase?

  37. SSC CGL • 2025

    If x=2+sqrt3 , find x-1/x

  38. SSC Selection Post • 2025

    A hemisphere and a right circular cone have the same volume and radius. Find the ratio of their curved surface areas (Hemisphere : Cone).

  39. SSC CGL • 2019

    A, B & C started a business. Thrice the investment of A is equal to twice the investment of B and also equal to four times the investment of C. If C's share out of the total profit is Rs. 4863, then the share of A in the profit is:

  40. SSC Selection Post • 2025

    A, B, and C can complete a work in 20, 30, and 60 days respectively. In how many days can they finish the work together?

  41. SSC Selection Post • 2025

    A trader allows a 25% discount on the marked price and still makes a profit of 20%. If the cost price of the article is ₹1,200, what is the marked price?

  42. SSC Selection Post • 2025

    If tan θ + cot θ = k, then tan² θ + cot² θ is equal to:

  43. SSC Selection Post • 2025

    A watch was sold for ₹2040 after giving a discount of 15% on the marked price. What was the marked price?

  44. SSC CGL • 2020

    If (cos²θ)/(cot²θ-cos²θ) =3, where 0º

  45. SSC Selection Post • 2025

    A sofa is marked at ₹5,000 and sold for ₹4,250 after two successive discounts of 10% and a certain percentage. What is the second discount?

  46. SSC CGL • 2025

    A container has 60 litres of a mixture of acid and water in the ratio 7:3. 20% of the mixture is taken out and replaced with water. This operation is repeated once more. What is the final percentage of acid in the mixture?

  47. SSC Selection Post • 2025

    A sphere having a radius R is melted and recast into a hemisphere and a cylinder. The hemisphere and cylinder have equal radii and heights. If the height of the cylinder is equal to its radius r, find the ratio R:r.

  48. SSC Selection Post • 2025

    A wooden block has dimensions 8 cm × 5 cm × 3 cm. What is its volume?

  49. SSC CGL • 2017

    A businessman imported Laptops, worth Rs 210000, Mobile phones worth Rs 100000 and Television sets worth Rs 150000. He had to pay 10% tax on laptops, 8% on Phones and 5% on Television sets as a special case. How much total tax (in Rupees) he had to pay on…

  50. SSC Selection Post • 2025

    A contractor agrees to complete a building in 120 days. He employs 75 workers. After 80 days, only half of the work is completed. To avoid a penalty and finish the remaining work on time, how many additional workers must he employ?