Quantitative Aptitude PYQ — Page 116

24,303 questions across SSC exams.

  1. SSC CGL • 2025

    Evaluate: 5-[2/5÷\1/3+(1/3×(1-1/2))\]

  2. SSC CHSL • 2023

    In a circle, two chords AB and CD intersect each other internally at point P. If AB = 16 cm, PB = 6 cm and PD = 12 cm, then the value of PC (in cm) is equal to:

  3. SSC CGL • 2024

    What is the central angle of a sector of a circle whose area and perimeter are, respectively, equal to 209 cm² and 63 cm if it is given that its radius is a non-negative integer (round up to one decimal place)?

  4. SSC CHSL • 2019

    A man bought three articles for Rs.3,000 each. He sold the articles at 15% profit, 10% profit and 15% loss, respectivel. The total percentage profit/loss he earned is:

  5. SSC GD • 2025

    Yogesh invested some money in HDFC at 4% per annum rate of interest. What would be the corresponding simple interest (in ₹) if after 2 years, Yogesh got ₹229.5 as compound interest, considering annual compounding?

  6. SSC CHSL • 2024

    The surface area of a spherical ball is 1386 cm². What will be its volume?

  7. SSC CHSL • 2025

    A surveillance camera is placed at the edge of a circular campus. If it captures an angle of 30° across two points on the perimeter, what is the angle subtended at the center?

  8. SSC MTS • 2022

    Aadish can complete a work in 14 days. If he worked for 8 days, then what fraction of the work would be left?

  9. SSC CHSL • 2021

    The present ages of A and B are in the ratio 9 : 10. The ratio of their ages 8 years from now will be 11 : 12. What will be the sum of their ages (in years) 3 years from now?

  10. SSC Selection Post • 2022

    A metallic solid hemisphere of radius 12 cm is melted and recast into spheres of radius 2 cm. Find the number of spheres thus formed.

  11. SSC GD • 2023

    What will be the volume of the largest sphere which can be carved out of a cube of side 6 cm? (in cm³)

  12. SSC GD • 2023

    The least multiple of 7, which leaves a remainder of 4, when divided by 6, 9, 15, and 18 is:

  13. SSC CGL • 2022

    Monthly expenditure of a family on different heads is shown in the following pie chart. The family earns Rs 108000 every month. What is the amount spent on Rent every month (in Rs)? [Image]

  14. SSC CHSL • 2025

    An item is sold at a profit of 25%. If the selling price is ₹800, what is the cost price?

  15. SSC Selection Post • 2022

    If (x + y)³ + 27(x - y)³ = (Ax - 2y)(Bx² + Cxy + 13y²), then the value of (2A + B + C) is:

  16. SSC CGL • 2020

    The value of ((sinθ + cosθ - 1))/((sinθ - cosθ + 1)) × √((1 + sin θ)/(1 - sin θ)) is:

  17. SSC GD • 2021

    Two successive discounts, with the first being 10%, were given on an article having the marked price of ₹7500. Finally it was sold for ₹5805. What percent was the second discount?

  18. SSC CGL • 2023

    Study the given table and answer the question that follows. The table represents the expenditure of a company (in thousand rupees) per annum over the given year. [Table] What is the average amount of salary per year, which the company has to pay during these…

  19. SSC GD • 2025

    A can complete a task in 16 days, and B can complete the same task in 24 days. If A and B work on alternate days starting with A, in how many days will the task be completed?

  20. SSC GD • 2021

    The average of 39% of A and 42% of B is equal to three-fifths of the difference of A and B. Find B as a percentage of A?

  21. SSC Selection Post • 2024

    Which of the following numbers is divisible by 11?

  22. SSC CHSL • 2025

    O is the incenter of triangle PQR. If angle POR = 140°, find angle PQR.

  23. SSC CGL • 2024

    Two pipes can fill a tank in 12 hours and 18 hours, respectively, while a third pipe can empty it in 8 hours. How long (in hours) will it take to fill the empty tank if all three pipes are opened simultaneously?

  24. SSC CGL • 2023

    The cost of 32 pens and 12 pencils is ₹790. What is the total cost (in ₹) of 8 pens and 3 pencils together?

  25. SSC Selection Post • 2019

    If a person invests ₹33250 in an account that yields 7.4% p.a simple interest, then how much (in ₹) does he has after 5 years?

  26. SSC CHSL • 2023

    Minor arc BC subtends angle BAC and BDC at points A and D. respectively, on the circumference in the major sector of the circle with center O. What is the value (in degrees) of (∠ABC + ∠ACB) if ∠BDC = 73°

  27. SSC GD • 2025

    If x varies directly to y and if x = 3, y = 5, then find the value of y when x = 7.8.

  28. SSC GD • 2025

    A number is increased by 50% and then again by 50%. By what percentage should the increased number be reduced so as to get back the original number?

  29. SSC CGL • 2025

    Simplify : ((0.5)³ +(0.05)³ +(0.005)³) ÷ ((0.1)³ +(0.01)³ +(0.001)³)

  30. SSC CGL • 2023

    A shopkeeper offers three schemes as given below to sell a particular type of product. Which of the following schemes offer(s) the maximum discount percentage? A.Buy 6, get 4 free B.Buy 5, get 5 free C. Two successive discounts of 18% and 24%

  31. SSC GD • 2021

    A car starts at a speed of 80 km/hr with its speed increasing by 8 km/h every two hours. In how many hours will it cover 432 km?

  32. SSC GD • 2024

    What is the value of 48 - 12 ÷ 6 × 3 + 26?

  33. SSC CGL • 2024

    If sinA - cosA = √(3) - √(2) over 2 , then the value of sinA.cosA is :

  34. SSC GD • 2023

    Two persons P and Q working together can do a piece of work in 18 days. Q alone can do it in 36 days. Q started the work, and after working for 6 days he left the work. P then took up the remaining work. How many days will P take to complete the remaining…

  35. SSC CGL • 2020

    The two trains leave Varanasi for Lucknow at 11:00 am and at 11:30 am. respectively and travel at a speed of 110 km/h and 140 km/h respectively. How many kilometres from Varanasi will both trains meet?

  36. SSC CGL • 2022

    Person A started a business by investing Rs 65,000. After a few months, B joined him by investing Rs 50,000. Three months after the joining of B, C joined the two with an investment of Rs 55,000. At the end of the year, A got 50% of the profit as his share…

  37. SSC CGL • 2024

    If the sum of three numbers is 18 and the sum of their squares is 36, then find the difference between the sum of their cubes and three times of their product.

  38. SSC CHSL • 2024

    Find the value of the following expression. sin (30 + θ) - cos (60 - θ)

  39. SSC GD • 2023

    Find the remainder when the smallest 6-digit number divisible by 12, 15, and 25 is divided by 9.

  40. SSC CGL • 2018

    If sec θ (cos θ + sin θ) = √2, then what is the value of (2 sin θ)/(cos θ – sin θ)?

  41. SSC CGL • 2022

    O is the center of this circle. Tangent drawn from a point P, touches the circle at Q. If PQ = 24 cm and OQ = 10 cm, then what is the value of OP?

  42. SSC CHSL • 2023

    implify the given expression. (0.09× 0.09+0.04×0.04+0.16×0.16+2×0.09×0.04+2×0.04×0.16+2×0.09×0.16)/(0.3×0.3+0.2×0.2 +0.4×0.4)

  43. SSC CGL • 2020

    The coefficient of y in the expansion of (2y - 5)³ , is:

  44. SSC Selection Post • 2022

    If A : B = 3 : 4, B : C = 5 : 6, and C : D = 12 : 17, what is A : D?

  45. SSC GD • 2023

    A bus can run 20% faster than a bike. Both start from the same place at the same time and reach the same destination 60 km away at the same time. On the way, however, the bus stops at the stations for 10 minutes. The speed of the bike is:

  46. SSC GD • 2025

    The edge of a cube is 19 cm. What is the total surface area of the cube (in cm²)?

  47. SSC CGL • 2023

    6 labourers can finish a work in 16 days. 10 labourers are available, but the work is to be finished in 8 days. How many more labourers are to be called to finish the work in time?

  48. SSC CGL • 2023

    Two circles of radii 10 cm and 5 cm touch each other externally at point A. PQ is the direct common tangent of those two circles of centers O₁ and O₂ respectively. The length of PQ is equal to:

  49. SSC Selection Post • 2023

    At present, Ritika’s age is 3 times the age of Vipul. After 7 years, Ritika will be 2 times as old as Vipul. What is the present age of Ritika (in years)?

  50. SSC Selection Post • 2020

    If the difference between the compound and simple interest on a certain sum of money for 2 years at 8% per annum is ₹160, find the sum.