Quantitative Aptitude PYQ — Page 413

24,303 questions across SSC exams.

  1. SSC CHSL • 2025

    The amount received on a certain sum at the same annual rate of interest after 3 years and 5 years on compound interest (compounding annually) is Rs. 10648 and Rs. 12884.08 respectively. What is that sum?

  2. SSC CHSL • 2025

    A train leaves A at 6 AM at 60 km/h. Another leaves B at 8 AM at 90 km/h toward A. Distance=540 km. Meeting time?

  3. SSC CGL • 2022

    The perimeter of two similar ∆ABC and ∆PQR are 48.4 cm and 12.1 cm, respectively. What is the ratio of the areas of ∆ABC and ∆PQR?

  4. SSC CHSL • 2025

    What will be the simple interest on a principal of Rs. 1600 for 8 years at the rate of 2 percent per annum?

  5. SSC MTS • 2022

    At an event there are 500 guests, among whom 28% are adult males, 64% are adult females, and the rest are children. Find the total number of children at the event.

  6. SSC CGL • 2023

    In the given figure, the diameter AB and chord CD of a circle meet at P. PT is tangent to the circle at T. If CD = 8 cm, PD = 10 cm, and PB = 8 cm, find AB. [Image]

  7. SSC GD • 2019

    A train 400 m long passes a pole in 20 seconds. What is the speed of the train?

  8. SSC CGL • 2022

    Cords AB and CD of circle intersect externally at P. If AB = 7cm, CD = 1cm and PD = 5cm, then the lenth of PB (in cm) is:

  9. SSC GD • 2019

    The line chart given below shows the profit percentage of a company on 5 different products P1, P2, P3, P4 and P5. [Image] The expenditure of product P5 is Rs. 46000. What is revenue of product P5?

  10. SSC CHSL • 2022

    A shopkeeper offers 25% discount on all table lamps. He offers a further discount of 8% on the reduced price to those customers who pay cash. What does a customer have to pay in cash for a table lamp of ₹2,500?

  11. SSC Selection Post • 2022

    If 2ˣ = 3ʸ = 6^z , then is 1/x + 1/y - 1/z equal to :

  12. SSC CHSL • 2023

    If sin (A - B) = 1/2 , and sin(A + B) = 1, where A and B are positive acute angles and A ≥ B, then A and B are respectively:

  13. SSC CHSL • 2025

    A milk seller claims to sell milk at its actual cost price, yet he secretly adds water to it and thus secures a 25% profit. In what proportion of water to milk must the mixture be prepared to yield this gain?

  14. SSC CHSL • 2020

    The sum of 17 consecutive numbers is 289. The sum of another 10 consecutive numbers, whose first term is 5 more than the average of the first set of consecutive numbers, is:

  15. SSC CGL • 2025

    The budget for an event is allocated to venue, food, and decorations in the ratio 4:5:1. During planning, the cost of the venue rose by 10%, the cost of food rose by 20%, and the cost of decorations fell by 30%. What is the percent change in the total event…

  16. SSC MTS • 2022

    An car moves through 20 m in 3 minutes and the next 50 km at a speed of 100 km/h. What is the approximate average speed of the car?

  17. SSC CGL • 2024

    The difference between a discount of 25% and two successive discounts of 15% and 20% on a certain bill was ₹28. Find the amount of the bill.

  18. SSC CGL • 2022

    Let x cm² be the surface area and y cm³ be the volume of a sphere such that y = 14x. What is the radius (in cm) of the sphere?

  19. SSC CHSL • 2025

    Triangle PQR is similar to Triangle XYZ. The ratio of their perimeters is 3:4. What is the ratio of the length of the median from vertex P to the length of the median from vertex X?

  20. SSC CGL • 2023

    What is the value of 6 – (6 ÷ 2 – 3 + 7 – 2) × [{3 – 2 ÷ 2} × 5 – 6]?

  21. SSC CHSL • 2025

    If two circles have one point of intersection and the same radius, how many external tangents can be drawn?

  22. SSC GD • 2021

    X can complete 1/4 of a work in 3 days and Y can complete 1/6 of the same work in 4 days, X and Y worked together for 6 days and Z alone completed the remaining work in 8 days. If Y and Z work together, how much time will they take to complete the same work?

  23. SSC CGL • 2025

    What is the result of 21/5 ÷ 0.4 ?

  24. SSC MTS • 2022

    The cost price of two fans is the same. One fan is sold at a loss of 20% and the other fan is sold at loss of 60%. What will be the overall loss percentage?

  25. SSC CHSL • 2024

    Study the given pie chart and answer the question that follows. The pie chart represents the total number of valid votes obtained by four students who contested for school leadership. The total number of valid votes polled was 720. [Image] What is the…

  26. SSC Selection Post • 2022

    The area of a triangular park, whose sides are 160 m, 300 m, and 340 m, is 4 17over22 of the area of a circular park. What is the perimeter (in m) of the circular park (correct to one decimal place)? (Take π = 22over7 )

  27. SSC CHSL • 2025

    If the graph of a linear equation passes through (0, -2) and has a slope -3, what is its equation?

  28. SSC CHSL • 2025

    Mohit and Rohit undertook a work for Rs. 6600. Mohit alone can do that work in 25 days. Rohit alone can do the same work in 30 days. They work together. What will be the difference in the amount (in Rs.) they receive?

  29. SSC GD • 2019

    A car travels 60km in the first hour , 65km in the second hour , 70km in the third hour, then the average speed of the car is

  30. SSC CGL • 2024

    The single discount is equivalent to a series discount of 60%, 70%, and 80%.

  31. SSC CHSL • 2022

    Which of the following numbers is divisible by 3?

  32. SSC CHSL • 2024

    Study the given pie-chart and answer the question that follows. The pie chart represents the total number of valid votes obtained by four students who contested for school leadership. The total number of valid votes polled was 720. [Image] By how many votes…

  33. SSC CGL • 2025

    If 20% of (P + Q) = 50% of (P - Q), then find the ratio P : Q.

  34. SSC CGL • 2019

    The income of A is 50% more than that of B. If the income of A is increased by 40% and the income of B is increased by 90%, then the percentage increased in their combined income will be:

  35. SSC GD • 2019

    What is the mean ofthe given data? 2, 3, 4, 5, 6, 7, 8, 9

  36. SSC CGL • 2023

    A sum of money earns a simple interest at 7.25% per annum for the first eight years, at 8.5% for the next six years, and at 6.5% for the final four years. If the total interest earned during these eighteen years was ₹35,100, what was the original sum…

  37. SSC CGL • 2024

    The area of a parallelogram with base 26 cm and height 18 cm is:

  38. SSC CHSL • 2024

    Study the given graph and answer the question that follows. The graph shows the exports from three companies (A, B and C) over the years (in ₹ crore). [Image] In how many given years were the exports from company C less than the average annual exports over…

  39. SSC Selection Post • 2020

    A certain sum amounts to ₹8,256 in 6 years and to ₹5,952 in 2 years at simple interest. The same sum will amount to ₹x at the same rate at simple interest in 4 2over3 years. The value of x is:

  40. SSC CHSL • 2025

    Simplify: (a² - b²)³ + (b² - c²)³ + (c² - a²)³ / (a - b)³ + (b - c)³ + (c - a)³.

  41. SSC Selection Post • 2022

    The effective annual rate of interest corresponding to a nominal rate of 10% per annum payable half-yearly is:

  42. SSC CGL • 2023

    If x + 1/x=9 , then find x⁴ + 1/(x⁴).

  43. SSC CGL • 2021

    ABCD is a cyclic quadrilateral. Diagonals BD and AC intersect each other at E. If ∠BED = 138º and ∠ECD = 35º, then what is the mease of ∠BAC?

  44. SSC CGL • 2022

    In the figure, O is the centre of the circle. Its two chords AB and CD intersect each other at the point P within the circle. If AB = 20 cm, PB = 12 cm and CP = 8 cm, then find the measure of PD. [Image]

  45. SSC CHSL • 2022

    The fourth proportional to the numbers 5, 6, and 8 is:

  46. SSC CGL • 2017

    If ax + by = 1 and bx + ay = 2ab/(a² + b²) then (x² + y²)(a² + b²) is equal to:

  47. SSC CGL • 2018

    Two circles are having radii 9 cm and 12 cm. The distance between their centres is 15 cm. What is the length (in cm) of their common chord?

  48. SSC CGL • 2020

    The value of (cosec30º – tan45º) cot60ºtan30º is:

  49. SSC CHSL • 2025

    If tan(θ)=12/5 in a right-angled triangle, what is the length of the hypotenuse?

  50. SSC GD • 2021

    An automobile financier claims to be lending money at simple interest, but he includes the interest every six months for calculating the principal. If he is charging an interest of 14% the effective rate of interest becomes: