SarkariPYQ

Quantitative Aptitude PYQ — Page 303

24,303 questions across SSC exams.

  1. SSC Selection Post • 2020

    If a³+ b³ + c³ - 3abc = 126, a + b + c = 6 , then the value of (ab + bc + ca) is:

  2. SSC CHSL • 2024

    To finish a work, P takes half of the number of days required by Q to finish it. If they together can finish the work in 36 days, then in how many days Q alone can finish the work?

  3. SSC CGL • 2023

    In an 1170 m race, Raman reaches the final point in 65 seconds and Mohan reaches the final point in 90 seconds. By how much distance does Raman beat Mohan?

  4. SSC CHSL • 2022

    The diagonal of a cube is 24 cm. Find its total surface area.

  5. SSC CGL • 2022

    In a circle with centre O, PA and PB are tangents to the circle at point A and Point B, respectively. C is a point on the major arc AB. If ∠ACB = 50°, then find the measure of ∠APB.

  6. SSC Selection Post • 2022

    The marked price of an article is ₹1,000. It is sold for ₹712.89 after three successive discounts on the marked price, one of 10% and two of x% each. What is the value of x?

  7. SSC CGL • 2025

    A shopkeeper has two types of pulses: one costing ₹60/kg and the other costing ₹90/kg. He mixes them in a specific ratio and sells the mixture at ₹84/kg, thereby earning a 20% profit. In what ratio did he mix the two types of pulses?

  8. SSC CHSL • 2021

    A shopkeeper bought 40 dozen eggs at Rs 1.40 each. 80 eggs were broken in transportation. He sold the remaining eggs at Rs 1.60 each. What is his profit or loss percentage?

  9. SSC CHSL • 2021

    A man cycles from P to Q, a distance of 30 km, in 2 hours 48 minutes. The road from P is a level road for 18 km and then it is uphill to Q. The man's average speed on the level road is 15 km/h. What is his average uphill speed (in km/h)?

  10. SSC CHSL • 2020

    The perimeter and length of a rectangle are in the ratio of 8 : 1, and the area of the rectangle is 1323 cm². Find the length of the rectangle.

  11. SSC CGL • 2023

    A works 5.4 times as fast as B, and A takes 22 days less than B to complete the job when each works alone. Calculate the number of days taken to complete the same job if A and B work together.

  12. SSC MTS • 2022

    What is the value of - 19 + 11- 5 - (1 ÷ 8) of 32?

  13. SSC CGL • 2019

    The average weight of a certain number of students in a class is 68.5 kg. If 4 new students having weights 72.2 kg, 70.8 kg, 70.3 kg and 66.7 kg join the class, then the average weight of all the students increases by 300 g. The number of students in the…

  14. SSC CHSL • 2023

    At one end of diameter PQ of a circle of radius 8 cm a tangent APB is drawn to the circle. Find the length of the chord RS, which is parallel to AB and at a distance of 12 cm from P.

  15. SSC Selection Post • 2024

    Four numbers are in the ratio of 2 : 3 : 4 : 5, and their sum is 56. Find the sum of the first and third numbers.

  16. SSC Selection Post • 2022

    If a - b = 10 and ab = 4, then the value of a³- b³ + 4(a + b)² is:

  17. SSC CGL • 2022

    Let ∆ABC ~∆PQR and (ar(∆ABC))/(ar(∆QPR)) = 64/169 , If AB = 10cm, BC = 7cm and AC = 16cm, then PR(in cm) is equal to:

  18. SSC CHSL • 2023

    A ship goes at 18 km/h downstream and at 16 km/h upstream. What will be the speed of the ship in still water?

  19. SSC Selection Post • 2022

    The average weight of 44 members of a club is 68.5 kg. If 6 members of average weight 72.8 kg leave and 2 new members of average weight 56.1 kg join the club, then the average weight (in kg) of the present members of the club is (correct to nearest integer):

  20. SSC CGL • 2022

    The HCF of two numbers 110 and 1980 is:

  21. SSC CGL • 2025

    A statue that is 1.6 meters in height is positioned on top of a pedestal. From a location on the ground, the angle of elevation to the top of the statue measures 60°, while the angle of elevation to the top of the pedestal from the same point is 45°…

  22. SSC CHSL • 2025

    What is the square root of 7396?

  23. SSC Selection Post • 2024

    The marked price of a commodity was given as ₹425 per kg. After two successive discounts of 5% and y%, respectively, the retailer purchased it for ₹323 per kg. What was the value of y?

  24. SSC CHSL • 2025

    In a community library, there are three sections: Fiction, Non-Fiction, and Children’s books. The average number of books in the Fiction and Non-Fiction sections is 1,275. The average number of books in the Non-Fiction and Children’s sections is 1,450. If…

  25. SSC CHSL • 2024

    A metallic sphere of volume 3136π cm³ is melted and then recast into smaller cones each of radius 3.5 cm and height 4 cm. How many cones are obtained ?

  26. SSC CHSL • 2019

    A man gets a discount of 30% and then 20% on his food bill of Rs. 1250. How much amount does he have to pay?

  27. SSC CHSL • 2022

    If the ratio of the volumes of two cones is 11:16 and the ratio of the radii of their bases is 3:4, then the ratio of their heights will be:

  28. SSC CGL • 2024

    If the total number of successful start-ups is 2910, then find the number of start-ups in the education and agriculture sectors. (Neglect the decimal part.)

  29. SSC CGL • 2019

    In a class of 50 students, 60% are boys. The average of marks of the boys is 62, and that of the girls is 68. What is the average marks of the whole class?

  30. SSC CHSL • 2019

    If a²+ b²= 99 and ab = 11, (a > 0, b > 0) then the value of (a³+ b³) is:

  31. SSC Selection Post • 2022

    An article is sold at a profit of 13.25%. Had it been sold for ₹76.70 more, the profit would have been 16.7%. 20% of the cost price of the article (in ₹) is:

  32. SSC GD • 2021

    A person walked from a village to a hospital at a speed of 30 km/h and walked back at a speed of 2 km/h. If the whole journey took 4 hrs 36 minutes, find the distance of the hospital from the village?

  33. SSC Selection Post • 2022

    A merchant fixes the sale price of his goods at 33% above the cost price. He selles his goods at 23% less than the fixed price. His profit percentage is :

  34. SSC CHSL • 2025

    A company manufactures hemispherical brass bells of radius 2 cm. If polishing costs ₹0.75 per square cm, find the cost of polishing the outer surface of one bell.

  35. SSC GD • 2021

    In a college election, the winning secretarial candidate got 69% of the votes and won 342 votes more than his rival. The total number of students in the college is:

  36. SSC CHSL • 2023

    The cost of 3 cups and 5 plates is Rs. 1,080 and the cost of 2 cups and 4 plates is Rs. 840. Find the ratio of the cost of a cup to the cost of a plate.

  37. SSC CGL • 2023

    If the area of the circle is 616 cm² and a chord XY = 10 then find the perpendicular distance from the center of the circle to the chord XY.

  38. SSC CGL • 2021

    If 2x² - 8x - 1 = 0, then what is the value of 8x³ - 1/(x³) ?

  39. SSC CHSL • 2022

    A bike is purchased for ₹50,000. Its rate depreciates at 10% annually. In how many years will its value be ₹36,450?

  40. SSC CHSL • 2024

    Simplify the following expression. 99 - [169 ÷ (13 × 13) - (-4) - {3 - 17 + 10}]

  41. SSC GD • 2021

    If a 10-digit number 643x1145y2 is divisible by 88, then the value of (2x - 3y) for the largest alue of y is:

  42. SSC CGL • 2022

    A Number n when divided by 6, leaves a remainder 3. What wil be the remainder when (n² + 5n + 8) is divided by 6?

  43. SSC Selection Post • 2019

    If 27 (x+y)³ + (x - y)³ = 2(2x+y) (Ax² + Bxy+Cy²), then what is the value of (A-B+C)?

  44. SSC GD • 2019

    The ratios of spirit and water in vessels A and B are 4 : 5 and 7: 11, respectively. The contents of A and B are mixed in the ratio 2 : 5. What is the ratio of spirit and water in the resulting solution?

  45. SSC CHSL • 2023

    If the angles of triangle PQR satisfy the relation 2R - P = Q - R, then find the measure of angle R.

  46. SSC CGL • 2025

    A man buys a set of 3 identical watches at a total cost of Rs. 4,500. He sells them at Rs. 1,800, Rs. 1,700, and Rs. 1,600, respectively. What is the overall profit or loss?

  47. SSC Selection Post • 2022

    [(4a - 5b)³+ (5b - 3c)³ - (4a - 3c)³] is equal to:

  48. SSC CGL • 2023

    A can complete a piece of work alone in 120 days, while A and B, working together, can complete this piece of work in 72 days. In how many days can B, working alone, complete this piece of work?

  49. SSC CGL • 2024

    Simple interest on a certain sum is one-fifth of the sum and the interest rate per cent per annum is 5 times the number of years. If the rate of interest increases by 3%, then how much will the simple interest (in ₹) be on ₹5,600 for 6 years?

  50. SSC Selection Post • 2024

    The diagonal of a cube is 5 √(3) cm. Find the surface area of the cube.