SarkariPYQ

Quantitative Aptitude PYQ — Page 148

24,303 questions across SSC exams.

  1. SSC CHSL • 2020

    If Sin(A + B) = Cos(A - B) = √(3)/2 and A and B are acute angles. The measures of angles A and B (in degrees) will be:

  2. SSC CHSL • 2023

    Which of the following set of angles forms a triangle?

  3. SSC CHSL • 2024

    A person spends 10% of his income on groceries, 10% on medicines, 20% on children’s education, 15% on house rent, and he saves the remaining amount. If his monthly income is ₹30,000, find his savings.

  4. SSC CHSL • 2024

    For a given circle of radius 4 cm, the angle of its sector is 45°. Find the area (in cm²) of the sector. (Use π = 3.14.)

  5. SSC CHSL • 2021

    The diameter of a semicircle is 5.6 m. What is its perimeter (in m, correct to one decimal place)? (Take π =22/7 .)

  6. SSC CHSL • 2023

    A man sells a good at 5% profit. If he had sold it at a 10% profit, he would have received 175 more. What is the selling price of the good?

  7. SSC CHSL • 2020

    In a certain time, a sum of money becomes five times itself if the rate of the interest is 16% p.a. Then the certain the time (in years) is:

  8. SSC CGL • 2023

    College P has 180 students scoring average marks of 88 and college Q has 320 students scoring average marks of 72. Find the average marks of both the colleges together.

  9. SSC Selection Post • 2022

    The average weight of some persons in a club was 80kg. Seven persons with average weight 85.2kg joined the club and at the same time 2 persons with the average weight 72.7 KG left the club. The average weight of all the persons in the group increased by 1.02…

  10. SSC CGL • 2025

    If a³ + b³ = 280 and a + b = 10, find ab.

  11. SSC Selection Post • 2022

    In an election between two candidates, 90% of the voters cast their votes, out of which 5% of the votes were declared invalid. A candidate got 12825 votes, which were 75% of the total valid votes. Find the total number of voters enrolled in that election.

  12. SSC GD • 2023

    By selling goods for ₹ 15,000, Ramu gains ₹ 3,000. What is his profit percentage?

  13. SSC MTS • 2022

    The average of nine consecutive even numbers is 24. What is the average of the smallest three of these 9 given numbers?

  14. SSC CGL • 2024

    A bus travels 1over3 of the distance initially at a speed of 40 km/h, the next 1over3 of the distance 50 km/h, and the final 1over3 of the distance at 60 km/h. Find the average speed of the bus for the entire journey. (Rounded off to two decimal places)

  15. SSC CGL • 2025

    Find y-intercept of 4x + 3y = 18

  16. SSC GD • 2024

    The compound interest (compounding half yearly) received on Rs. 24000 for 2 years is Rs. 25766.4. What is the rate of interest per annum?

  17. SSC CHSL • 2024

    Ramu invested some money at 8% simple interest per annum, and it was grown up to ₹820 in 8 years. If the same sum was invested at 20% simple interest per annum for a period of 10 years, find the amount.

  18. SSC CHSL • 2023

    Simplify: (2a - 3b - c)² - (a + 2b + c)²

  19. SSC CGL • 2020

    An article is marked 25% above its cost price. If x % discount is allowed on the marked price and still there is a profit of 5.5%, then what is the value of x?

  20. SSC GD • 2025

    Evaluate: 32 ÷ 8 × 4 - 2 × 3

  21. SSC CHSL • 2020

    2x – 3y is a factor of:

  22. SSC MTS • 2019

    A sum of Rs. 800 invested on simple interest becomes Rs. 1200 in 8 years. What will be simple interest for 6 years on the sum at the same rate of interest?

  23. SSC GD • 2023

    In a trip, Kiran travelled 50 miles per hour for 3 hours on bike. Further he travelled by car for 2 hours at 65 miles per hour. He stopped for 2 hours for rest. After rest he travelled on bike for 4 hours at 80 miles per hour to reach his destination. Find…

  24. SSC CHSL • 2024

    O is the center of the circle. Its two chords AB and CD intersect each other at the point P (internally) within the circle. If AB = 22 cm, PB = 14 cm, and CP = 8 cm, then find the value of the PD.

  25. SSC CHSL • 2022

    If x+1/x=-3√(2), what is the value of (x⁵+1/(x⁵))?

  26. SSC CGL • 2020

    The circumference of the base of a conical tent is 66 m. If the height of the tent is 36 m, what is the area (in m²) of the canvas used in making the tent? (Take π = 22/7)

  27. SSC MTS • 2022

    The following pie-chart shows the sales in a restaurant in a day, in percentage terms. [Image] If the total number of items sold in a day is 100, then what is the central angle made by the sector giving data about the sale of 'Sandwich' in the pie-chart?

  28. SSC CGL • 2023

    A and B are equally efficient, and each could individually complete a piece of work in 30 days if none took any holiday. A and B started working together on this piece of work, but A took a day off after every four days of work, while B took a day off after…

  29. SSC CHSL • 2025

    If cos A = 12/13 and sin B = 5/13, find sin A cos B + cos A sin B:

  30. SSC MTS • 2022

    If 24X + 24Y = 192, then what is the average of X and Y?

  31. SSC CHSL • 2025

    A car travels 150 km at 75 km/h. Time taken?

  32. SSC GD • 2023

    A solid right-circular cylinder whose radius of the base is 22.5 cm and whose height is 24 cm is melted and moulded in the shape of a right-circular cone whose radius of the base is 36 cm. What will be the height of this cone?

  33. SSC CGL • 2023

    If x² - 1/(x²) = 4√(2) , what is the value of x⁴ - 1/(x⁴)?

  34. SSC CHSL • 2022

    Which of the following numbers is divisible by 7?

  35. SSC CGL • 2024

    Simplify 1 + sinθ - cosθ over 1 + sinθ + cosθ .

  36. SSC CGL • 2022

    In the first 10 overs of a cricket game, the run rate was only 7.2. What should be the average run rate in the remaining 40 overs to reach the target of 272 runs?

  37. SSC GD • 2025

    Gill sold two dogs at the same price. In one, he gets a profit of 22% and in the other, he gets a loss of 22%. What is Gill's profit or loss percentage?

  38. SSC Selection Post • 2022

    The marked price of a TV is ₹50,000. The difference between a discount of 30% and two successive discounts of 25% and 6% on this deal is:

  39. SSC CHSL • 2023

    Simplify: ((1-m)³ +(m - n)³+(n -1)³)/(12(1 - m)(m - n)(n - 1))

  40. SSC CHSL • 2024

    In ΔABC, XY is drawn parallel to BC, cutting sides at X and Y, where AB = 5.4 cm, BC = 7.2 cm and BX = 3 cm. What is the length of XY (in cm)?

  41. SSC CGL • 2022

    In a 100-m race, A beats B by 20 m and B beats C by 20 m. By how much distance does A beat C?

  42. SSC CHSL • 2025

    A can complete a job in 15 days and B in 20 days. They work together for 5 days. How much work is left?

  43. SSC GD • 2023

    Two objects were sold for ₹9,900 each. One object was sold at a loss of 10% and the other object was sold at a gain of 10%. The net gain or loss in the whole transaction is:

  44. SSC GD • 2019

    A sum borrowed under compound interest doubles itself in 10 years. When will it become four times of itself at the same rate of interest?

  45. SSC CGL • 2019

    Pipes A and B are filling pipes while pipe C is an emptying pipe. A and B can fill a tank in 72 and 90 min respectively. When all the three pipes are opened together, the tank gets filled in 2 hrs. A and B are opened together for 12 minutes, then closed and…

  46. SSC CGL • 2025

    In a triangle with vertices P(x, y), Q(5, -1), and R(2, 6), the Centroid is at G(4, 2). What are the coordinates of vertex P?

  47. SSC MTS • 2022

    A sum invested at a certain rate of interest per annum, compounded annually, amounts to ₹14,400 in 2 years and to ₹25,920 in 4 years. What is the sum invested?

  48. SSC CHSL • 2021

    If x⁴ + y⁴ + x²y² = 117 and x² + y² - xy = 3(4 + √(3) ), then the value of (x² + y²) will be:

  49. SSC CHSL • 2019

    The value of (tan 13° tan 37° tan 45° tan 53° tan 77°)/[2 cosec²60(cos²60° - 3cos 60° + 2)] is:

  50. SSC GD • 2019

    The slant height of a right circular cone is 15 m and its height is 9 m. The area of its curved surface, is: