Quantitative Aptitude PYQ — Page 332

24,303 questions across SSC exams.

  1. SSC CGL • 2024

    A shopkeeper sold the following items to Arushi, earning a profit on it. How much total profit (in ₹) did he earn on the basis of the given data? [Table]

  2. SSC CGL • 2016

    If a + b + c = 0 then the value of [Image] is

  3. SSC CHSL • 2021

    If PA and PB are tangents drawn to a circle with centre O at A and B from external point P such that ∠ APB = 78°, then ∠ OAB is equal to:

  4. SSC Selection Post • 2022

    If x +1 over x= 1-√(2), then find the value of x³+1 over x³.

  5. SSC CHSL • 2024

    What is the value of cos⁻¹ (7over 25) - cos⁻¹ (15over 17) ?

  6. SSC CHSL • 2022

    If base radius and height of a cylinder are 4 cm and 5 cm, respectively, then find the curved surface area of the cylinder [use π = 3.14].

  7. SSC CGL • 2022

    If cot B = 9, then what will be the value of sec² B?

  8. SSC CGL • 2022

    If sin² θ - cos²θ - 3sinθ + 2 = 0, 0° < θ < 90°, then what is te value of 1 + secθ + tanθ?

  9. SSC MTS • 2022

    A 750 metres long train crosses a stationary pole in 15 sec. Travelling at the same speed, this train crosses a bridge completely in 25 sec. What is the length of this bridge?

  10. SSC CGL • 2020

    In ΔABC, AB = AC. A circle drawn through B touches AC at D and intersect AB at P. If D is the mid point of AC and AP is 2.5 cm, then AB is equal to:

  11. SSC CGL • 2022

    The angle of elevation of the top of a tall building from the points M and N at the distances of 72 m and 128 m, respectively, from the base of the building and in the same straight line with it, are complementary. The height of the building (in m) is:

  12. SSC MTS • 2019

    If the height of an equilateral triangle is 20√2 cm, then what is its area (in cm²)?

  13. SSC CHSL • 2023

    MN is the diameter of a circle with center O. P and S are two points on the circumference of the circle on either side of MN, such that ∠PMN = 50° and ∠MNS= 35°. What is the degree measure of the difference between ∠PMS and ∠PNS?

  14. SSC Selection Post • 2022

    A man sells an article at a certain price. If he sells it at 35% of this selling price, then he has a loss of 22%. If he sells it at its original selling price, then his profit percentage is:

  15. SSC CGL • 2024

    Half litre of a solution contains 15% of alcohol. To change the alcohol concentration to 50%, find the quantity of alcohol to be mixed.

  16. SSC GD • 2019

    Mohit and Sumit started a business with investments of Rs. 74000 and Rs. 96000 respectively. If at the end of the year, they earn profit in the ratio of 5 : 8, then what will be the ratio of the time period for which they invest their money?

  17. SSC CGL • 2021

    Trader A gives a single discount of 25% and Trader B gives two successive discount of 20% and 5% on an identical item. If the discount given by A is Rs320 more than the discount given by B, then what is the marked price (in Rs ) of the item ?

  18. SSC CGL • 2022

    If the area of the triangle ABC & DEF are x² cm² and y²cm² respectively, and EF = a cm then BC is

  19. SSC CHSL • 2021

    A reduction of 20% in the price of sugar enables a purchase to obtain 4 kg more for Rs. 160. The original price of sugar per kg is?

  20. SSC CHSL • 2023

    The circumference of a circle is 88 cm. Chord XY makes an angle of 90° at the circumference of this circle. What is the length of XY?

  21. SSC CGL • 2023

    Solve the given expression. (sec²(90⁰-θ)-cot²θ)/(2(sin²35⁰+sin²55⁰))

  22. SSC CHSL • 2024

    △XYZ is similar to △PQR. If the ratio of the perimeter of △XYZ to the perimeter of △PQR is 16 : 9 and PQ = 3.6 cm, then what is the length (in cm) of XY?

  23. SSC CHSL • 2022

    15 identical solid spherical balls of radius 5 cm are melted to form a single sphere. In this process, 35% of the mass is wasted. What is the radius (in cm) of the single sphere that is now formed? [Use π = 22/7, and give your answer correct to two decimal…

  24. SSC CGL • 2021

    X, Y are two points in a river. Points P and Q divide the straight line XY into three equal parts. The river flows along XY and the time taken by a boat to row from X to Q and from Y to Q are in the ratio 4 : 5. The ratio of the speed of the boat downstream…

  25. SSC CGL • 2024

    The value of [15 ÷ 3 × 7 − 8 of 2 + 6] is:

  26. SSC CHSL • 2025

    A hemispherical bowl with a radius of 21 cm is filled with a liquid. The liquid is to be poured into small cylindrical bottles, each with a diameter of 7 cm and a height of 9 cm. How many such bottles are required to empty the bowl?

  27. SSC Selection Post • 2024

    A bag contains a total of 180 coins in the denominations of Rs. 5 and Rs. 1. Find the number of Rs. 5 coins in the bag, if the total value of the coins is Rs. 500.

  28. SSC CHSL • 2023

    If A= 60°, B =30°, then find the value of Sin A cos B + cos A sin B

  29. SSC CHSL • 2024

    If the ratio of principal and simple interest for 5 years is 10 : 7, then the rate of interest per annum is:

  30. SSC Selection Post • 2023

    A sum of ₹84,000 is deposited in a bank on simple interest at the rate of 15% for the period of 3 years. How much Simple Interest (in ₹) will be received?

  31. SSC Selection Post • 2024

    Antara’s monthly income is ₹96,000, while Barnali’s monthly income is ₹1,10,000. If y% of Barnali’s income is equal to 55% of Antara’s monthly income. Find the value of y.

  32. SSC CHSL • 2024

    Simplify: 3 4/7 - [16 1/2÷ \6² - (7 - 2 1/2) \] .

  33. SSC CHSL • 2025

    A sum of 150 is to be divided among A, B, and C. The ratio of A's share to B's share is 3:5, and the ratio of B's share to C's share is 5:7. What is B's share?

  34. SSC Selection Post • 2024

    Roshan owned a plot of land having an area that was 20% more than the area of the plot owned by Susan, while the area of the plot of land owned by Jacob was 30% more than the area of the plot owned by Roshan. If the area of the plot owned by Susan was 1250…

  35. SSC CGL • 2019

    The number of factors of 3600 is ?

  36. SSC CHSL • 2023

    The simple interest on a certain sum for 3 years at 8% per annum is ₹ 9120 less than the simple interest on the same sum for 7 years at 8% per annum. Find the sum.

  37. SSC CGL • 2018

    PQR is a right angled triangle in which PQ = QR. If the hypotenuse of the triangle is 20 cm, then what is the area (in cm²) of the triangle PQR?

  38. SSC CGL • 2023

    In a constituency, 85% of the total number of people on the electoral roll cast their votes during an election. 10% of the votes cast were declared invalid. If there were 3,00,000 people on the electoral roll, and Dharam secured 1,37,700 valid votes, what…

  39. SSC CGL • 2025

    The average of 13 numbers is 75. If the average of the first six is 70 and the average of the last six is 80, find the 7th number.

  40. SSC CHSL • 2025

    A basketball is shaped like a hemisphere and has a radius of 7 cm. What is the curved surface area of the basketball?

  41. SSC CGL • 2022

    If the volume of a sphere is 4851 cm³, then what is its diameter (In cm)? (take π =22/7)

  42. SSC CGL • 2023

    A thief seeing a policeman from a distance of 400 m started running at a speed of 16 km/h. The policeman chased him immediately with a speed of 18 km/h and the thief was caught. What is the distance run by the thief before he was caught by the policeman?

  43. SSC CGL • 2025

    A regular hexagon has a perimeter of 72 cm. What is its area?

  44. SSC GD • 2019

    If the diameter of a circle increases by 15%, then what will be the percentage increase in its area?

  45. SSC CGL • 2025

    A flagpole has a shadow measuring 10 meters. Given that the height of the flagpole is 10√3 meters, What is the angle at which the sun is elevated?

  46. SSC CHSL • 2025

    In a construction project, two support beams form angles of 30° and 60° with the ground, respectively. Engineers must calculate combined efficiency using tan A + cot B where A = 30° and B = 60°. Both angles are complementary. Find the value of tan A + cot B…

  47. SSC MTS • 2022

    In a week, the average temperature of Sunday and Monday is 37.2ᵒC. The average temperature of Tuesday and Wednesday is 39.4ᵒC. Find the temperature on Sunday, if the average temperaturee of Monday, Tuesday and Wednesday is 38.1ᵒC.

  48. SSC CHSL • 2024

    The following line graph shows the units manufactured by a company in some months. In which month did the company report the highest growth (in %) in production as compared with the respective previous month’s production? [Image]

  49. SSC CHSL • 2025

    The numerical value of the volume of a hemisphere is equal to the numerical value of its total surface area. What is the radius of this hemisphere in units?

  50. SSC CGL • 2020

    The inner and outer radius of a circular track are, respectively, 29 m and 23 m. The cost of levelling the track at Rs.7/m² is: