SarkariPYQ

Quantitative Aptitude PYQ — Page 174

24,303 questions across SSC exams.

  1. SSC CGL • 2023

    A circular are whose radius is 4 cm makes an angle 45° at the centre. Find the perimeter of the sector formed.

  2. SSC CHSL • 2020

    In the figure [Image] ‘G’ is the centre of the circle. Find the angle ACB when ∠AGB = 150ᵒ

  3. SSC CGL • 2025

    If x=√(3) determine the value of x+1/x .

  4. SSC CGL • 2022

    In the triangle ABC, AB = 12 cm and AC = 10 cm and ∠BAC =60°. What is the value of the length of side BC? [Image]

  5. SSC GD • 2025

    Find the value of [ ( 63 ÷ 9 )× \ 96/8dotplus 11/4× ( 9-5 )\ ]

  6. SSC Selection Post • 2023

    The ratio of the number of boys to that of girls in a village is 5 : 3. If 40% of the boys and 60% of the girls appeared in an examination, then the ratio of the number of boys and girls who appeared in the examination to the number who did not appear in the…

  7. SSC GD • 2023

    A number is increased by 8% and then, the increased number is decreased by 8%. What is the net increase or decrease in the number?

  8. SSC GD • 2023

    The mean proportional between 0.09 and 0.64 is:

  9. SSC GD • 2025

    What will be the surface area of the sphere having 5.4 cm radius?

  10. SSC CHSL • 2025

    The average score of 36 students is 40. When a group of 12 new students joins, the average rises to 44. Find the average score of the new students.

  11. SSC GD • 2026

    R alone can do a work in 12 days working 4 hours a day. S alone can do the same work in 6 days working 8 hours a day. How many hours do they need to work together in a day to complete the same work in 4 days?

  12. SSC CHSL • 2020

    If θ is a positive acute angle and tan2θ tan3θ = 1, then the value of θ is:

  13. SSC CGL • 2020

    In the given figure, if AB = 8 cm, AC = 10 cm, ∠ABD = 90ᵒ and AD = 17 cm, then the measure of (CD + AC) is: [Image]

  14. SSC Selection Post • 2022

    A dealer professes to sell his goods at cost price but uses a false weight and thus earns 25% profit. For weighing a kilogram, he uses a false weight of _____.

  15. SSC GD • 2023

    If the length of the longest diagonal of a cube is 6√3 cm, then find the volume of the cube

  16. SSC CGL • 2022

    The curved surface area of the sphere is 154 cm² . Find the volume of the sphere (rounded off to one digit after decimal).

  17. SSC CGL • 2025

    A sector of a circle having a radius of 7 cm has an area of 77 cm². Find the angle of the sector.

  18. SSC CHSL • 2024

    If A : B = 5 : 8 and B : C = 7 : 8, then find A : C.

  19. SSC CHSL • 2022

    If a company gives a discount of 20% on the marked price of an article and gains 20% on that particular article, then at what percentage above the cost price did the company mark its goods?

  20. SSC CGL • 2021

    If 2x + 3y + 1 = 0 , then what is the value of (8x³ + 8 + 27y³- 18xy)?

  21. SSC GD • 2026

    R did 4/7 part of a work on first day. He did 2/5 part of the remaining work on second day. Now the remaining work is 18 units. What is the total work (in units)?

  22. SSC CGL • 2024

    If 7sinθ\ +\ 4 cosθ over 9sinθ\ -\ 2cosθ = 5over 4 , then the value of tan²θ\ +\ 5 over tan²θ\ -\ 5 is:

  23. SSC CGL • 2022

    In ∆ABC, the perpendiculars drawn from A, B and C meet the opposite sides at points D, E and F, respectively,. AD, BE and CF intersect at point P. If ∠EPD = 110° and the bisectors of ∠A and ∠B meet at point Q, then ∠AQB = ?

  24. SSC MTS • 2022

    A can do a piece of work alone in 15 days, while B completes the same piece of work alone in 12 days. If they work on it together for 5 days, then the fraction of the work that will be left is:

  25. SSC GD • 2024

    If Selling price of an article is Rs. 2400 and Marked price is Rs. 3000. What is the discount percentage?

  26. SSC CGL • 2021

    There are two water taps in tank which can fill the empty tank in 12 hours and 18 hours respectively. It is seen that there is a leakage point at the bottom of the tank which can empty the completely filled tank in 36 hours. If both the water taps are opened…

  27. SSC CHSL • 2023

    In a right-angled triangle PQR, PQ = 5 cm, QR = 13 cm, and ∠P = 90°. Find the value of tan Q - tan R.

  28. SSC CHSL • 2025

    The number of irrational numbers between 1 and 2 is:

  29. SSC CHSL • 2022

    If x + 1/x = -13, what is the value of x⁴ + 1/(x⁴) ?

  30. SSC CGL • 2025

    Two circles have radii of 8 cm and 3 cm. The distance between their centers is 15 cm. What is the length of a direct common tangent?

  31. SSC GD • 2019

    The ratio of two numbers is 14 : 25. If the difference between them is 264, then which is the smaller number of the two numbers?

  32. SSC Selection Post • 2023

    A dealer sells rice at a profit of 15% and uses a weight that is 15% less than the actual weight. Find his percentage gain.

  33. SSC GD • 2021

    What sum of money at compound interest will amount to Rs. 30,051 in 3 years if the rate of interest is 5% in first years, 6% for the second year and 8% for the third year?

  34. SSC CGL • 2022

    If x+1 over x=2 cosθ, then x³+1 over x³=?

  35. SSC CHSL • 2022

    Compute the compound interest on ₹ 8,400 for one and half years at 12% rate of interest per annum, compounded half yearly.

  36. SSC GD • 2021

    A boy who is 7 feet tall can cast a shadow that is 21 feet long on the ground. How tall (in feet) is a man who can cast a shadow that is 15 feet long?

  37. SSC CGL • 2021

    The side of an equilateral Δ ABC = 3 √(7) cm, P is a point on side BC such that BP : PC = 1: 2. The length (in cm) of AP is:

  38. SSC GD • 2021

    A trader earns a profit of 30% by selling an article X and loses 16% by selling another article Y. The ratio of the cost prices of X and Y is 3 ∶ 4, then what is the gain/loss in the entire transaction (correct to one decimal place)?

  39. SSC Selection Post • 2023

    Ravi borrowed ₹1,380 from a bank which he repaid in 6 years at the rate of 6% per annum simple interest. If payment was made in six equal instalment, then each instalment was:

  40. SSC CGL • 2021

    If 4 sin² (2x - 10)° = 3, 0 ≤ (2x - 10) ≤ 90 then, find the value of (sin⁴(x-5)^° +cos^4(x-5)^°)/(1- 2sin^2(3x-15)^° cos(3x-15)^°)

  41. SSC GD • 2019

    The pie chart given below shows the annual snowfall received by 7 states of a country. The snowfall is shown as a percentage of total annual snowfall of the country. [Image] If the annual snowfall received by the country is 700 cm, then what is the monthly…

  42. SSC Selection Post • 2020

    If 4x^(2 +)9y² + z^(2 +)49 = 12(x + y + z), then what is the value of (4x + 9y −z)?

  43. SSC Selection Post • 2022

    In June 2020, a salesman sold an average of 210 toys per day. If for the first 12 days, the average sales of toys per day were 180 and for the next 8 days, the average sales per day were 215, then what was his average sale (per day) of the toys for the…

  44. SSC CHSL • 2023

    If 18 mechanics can repair 90 cars in 10 days, how many mechanics will be required to repair 150 cars in 12 days?

  45. SSC CGL • 2024

    From point A, a tangent line is drawn to the circle of radius 7 units. From the same point, a secant is drawn to the circle, which cuts the circle at B and C, and the point B is near A than C. What is the length of BC (in units) if the length of the tangent…

  46. SSC CHSL • 2023

    Average weight of 20 persons is 60 kg. A new person joins the group and average weight of 21 persons becomes 59 kg. What will be the weight of new person?

  47. SSC CGL • 2023

    If x + y = 25 and xy = 20, then find the value of x³ + y³ .

  48. SSC CGL • 2019

    If (a + b) = 6 and ab = 16/3, then (a³ + b³) is equal to:

  49. SSC CHSL • 2021

    The marked price of an article is ₹300. It is sold for 177.84 after giving three successive discounts of 20%, x % and 5%. What is the value of x?

  50. SSC CHSL • 2021

    The length of a rectangle is 10 cm more than the side of a square and its breadth is 8 cm less than the side of the square. If the areas of both the rectangle and square are equal, then what will be the perimeter (in cm) of the rectangle?