SarkariPYQ

Quantitative Aptitude PYQ — Page 71

24,303 questions across SSC exams.

  1. SSC CGL • 2018

    An alloy contains copper and tin in the ratio 3 : 2. If 250 gm of copper is added to this alloy then the copper in it becomes double the quantity of tin in it. What is the amount (in gm) of tin in the alloy?

  2. SSC CGL • 2020

    If 2 = x + 1/(1 + 1/(5 + 1/2)) , then the value of x is equal to:

  3. SSC Selection Post • 2025

    If a = 0.25, b = -0.05, and c = 0.5, find the value of (a² – b² – c² – 2bc) / (a² – b² – 2ab – c²).

  4. SSC Selection Post • 2025

    A and B together finish work in 10 days. B and C in 12 days. A and C in 15 days. How many days will C take to do the work alone?

  5. SSC CGL • 2020

    From a solid cylindrical wooden block of height 18 cm and radius 7.5 cm, a conical cavity of the same height and same radius is taken out. What is the total surface area (in cm²) of the remaining solid?

  6. SSC Selection Post • 2025

    The cost price of an item is ₹150, and it is sold for ₹135. What is the percentage loss?

  7. SSC Selection Post • 2025

    A retailer bought a dozen shirts for ₹3600. He sold each shirt at ₹350. What is his total profit or loss percentage?

  8. SSC CGL • 2022

    If 3 tan θ = 2√3 sinθ, 0º (cosec² 2 θ + cot² 2θ)/(sin²θ+tan² 2θ) is:

  9. SSC Selection Post • 2025

    You are faced with 5 doors. Behind one door is a car, and behind the other four are goats. You pick one door. The host, who knows where the car is, then opens 3 of the remaining doors, all revealing goats. You are then offered the chance to switch your…

  10. SSC Selection Post • 2025

    A hemisphere and a sphere have the same radius. The ratio of their total surface areas is:

  11. SSC CGL • 2018

    Length and breadth of a rectangle are 8 cm and 6 cm respectively. The rectangle is cut on its four vertices such that the resulting figure is a regular octagon. What is the side (in cm) of the octagon ?

  12. SSC CGL • 2019

    The value of cosec(67° + θ) - sec(23°- θ) + cos15°cos35°cosec55°cos60°cosec75° is ?

  13. SSC Selection Post • 2025

    A product is marked at ₹500 with a 20% discount. What is the selling price?

  14. SSC Selection Post • 2025

    A shopkeeper buys a watch for ₹400 and sells it at a profit of 12.5%. What is the selling price?

  15. SSC Selection Post • 2025

    The value of a machine depreciates by 10% per annum. If its present value is ₹72,900, find its value 2 years ago.

  16. SSC Selection Post • 2025

    If √((1 − a2)(1 − b2)) = 3/5 and b = 2/5, evaluate: [(4a2 + 4b2 + 8ab) + (4a2 + 4b2 − 8ab)]

  17. SSC Selection Post • 2025

    Cities P and Q are 250 km apart. Two trains start from P and Q simultaneously. If they proceed in the same direction, they will encounter each other in 25 hours. If they travel towards each other, they meet in 5 hours. What is the speed of the slower train?

  18. SSC Selection Post • 2025

    If sin A=3/5, and A is acute, then cos A + tan A is :

  19. SSC Selection Post • 2025

    What is the selling price if the cost price is ₹400 and the profit is 25%?

  20. SSC Selection Post • 2025

    A company undertakes a project to be completed in 40 days with 80 workers. After 10 days, due to a shortage, only 60 workers remain. How many additional workers must be hired after 20 more days to complete the project on time?

  21. SSC CGL • 2025

    A cone of radius 9 cm and height 12 cm is cut into two parts by a plane parallel to its base, at a height of 4 cm from the vertex. Find the volume of the frustum formed.

  22. SSC CGL • 2016

    A cylinder is partially filled with water. Two iron spherical balls are completely immersed in the water so that the height of the water in the cylinder rises by 4 cm. If the radius of one ball is half of the other and the diameter of the cylinder is 18 cm…

  23. SSC Selection Post • 2025

    A right prism is cut vertically into two equal halves. How does its volume change?

  24. SSC Selection Post • 2025

    A kite reaches a vertical height of 75 m from the ground. The string attached to the kite is inclined at 60° to the horizontal. The length of the string is:

  25. SSC CGL • 2020

    How many kg of rice costing Rs 42 per kg should be mixed with 7½kg rice costing Rs 50 per kg so that by selling the mixture at Rs 53.10 per kg, there is a gain of 18%?

  26. SSC CGL • 2022

    The expression (cos⁴θ-sin⁴θ + 2 sin² θ+3)/((cosec θ + cot θ +1)(cosec θ - cot θ+1)), 0⁰ is equal to:

  27. SSC CGL • 2018

    In what ratio should tea costing Rs 300/kg be mixed with tea costing Rs 200/kg so that the cost of the mixture is Rs 225/kg?

  28. SSC Selection Post • 2025

    A trader sells two items. On the first item, he makes a profit of 15%, and on the second item, he incurs a loss of 10%. If the selling price of both items is the same (₹3450 each), what is his overall profit or loss percentage on the entire transaction?

  29. SSC Selection Post • 2025

    A mobile phone worth ₹8,000 is sold at a loss of 10%. What is the selling price?

  30. SSC CGL • 2018

    A solid cuboid has dimensions 14cm × 18cm × 24cm. A hemisphere of radius 3.5 cm is cut from the centre of each face of cuboid. What is the total surface area (in cm²) of the remaining solid?

  31. SSC CGL • 2016

    Last year Mr. A bought two paintings. This year he sold them for Rs, 20,000 each. On one, he made a 25% profit and on the other he had a 25% loss.Then his net profit or loss is

  32. SSC Selection Post • 2025

    The marked price of a shirt is ₹600. A customer gets two successive discounts of 10% and 5%. What is the final price paid?

  33. SSC CGL • 2025

    If sin x = 0.6 and x ∈ (0, π/2), find sin2x + cos2x.

  34. SSC Selection Post • 2025

    The number of natural numbers between √50 and √500 is:

  35. SSC CGL • 2019

    By selling two articles for Rs.800, a person gains the cost price of three articles. The profit percent is ?

  36. SSC Selection Post • 2025

    An urn initially contains 3 red balls and 2 blue balls. You draw two balls without replacement. If both balls are the same color, you stop. If they are different colors, you put both balls back into the urn, add one additional red ball to the urn, and then…

  37. SSC CGL • 2017

    The profit earned by a shopkeeper by selling a bucket at a gain of 8% is Rs 28 more than when he sells it at a loss of 8%. The cost price (in Rupees) of the bucket is:

  38. SSC Selection Post • 2025

    Consider two points on the ground, at distances a and b from the base of a tower (a>b) from the foot of the tower and in the same straight line with it are 30° and 60° respectively. The height of the tower is:

  39. SSC CGL • 2018

    If a dairy mixes cow's milk which contains 10% fat with buffalo's milk which contains 20% fat, then the resulting mixture has fat (120/7)% of fat. What ratio was the cow's milk mixed with buffalo's milk?

  40. SSC CGL • 2020

    The compound interest on a sum of Rs 20,000 at 15% p.a. for 2 2/3 years, interest compounded yearly, is:

  41. SSC Selection Post • 2025

    A group of 20 students consists of 12 boys and 8 girls. A committee of 5 students is to be selected randomly from this group. What is the probability that the committee has more boys than girls?

  42. SSC CGL • 2018

    A right pyramid with square base has side of base 12 cm and height 40 cm. It is kept on its base. It is cut into 4 parts of equal heights by 3 cuts parallel to its base. What is the ratio of volume of the four parts?

  43. SSC Selection Post • 2025

    A chord of length 12 cm is 5 cm away from the center. Find the radius.

  44. SSC CGL • 2020

    The value of is (2sin²38° - sec²52° + cos64° sin26º+sin²64º)/tan²23º+cot²23º-sec²67º-cosec²67º):

  45. SSC Selection Post • 2025

    A bus starts from City A at 1:00 PM, and travels towards City B at a speed of 50 km/h. A car starts from City B at 2:30 PM and travels towards City A at a speed of 80 km/h. If the distance between City A and City B is 450 km, at what time will they cross…

  46. SSC Selection Post • 2025

    A T-shirt is on sale for 15% off its original price of Rs 60. How much will you pay for the T-shirt?

  47. SSC Selection Post • 2025

    The time taken for a train to pass a pole is 18 seconds, while it takes 33 seconds to cross a bridge measuring 300 meters. Calculate the length of the train.

  48. SSC Selection Post • 2025

    A product costs ₹600 and is sold for ₹540. What is the loss percentage?

  49. SSC Selection Post • 2025

    If the profit on an item is 15% and the cost price is ₹800, find the selling price.

  50. SSC Selection Post • 2025

    A 150-meter-tall tower stands on level ground. From the top of the tower, two cyclists are seen on the same side, moving directly towards the tower in straight lines. Initially, the angles of depression to the two cyclists are 35° and 20°, respectively…