Quantitative Aptitude PYQ — Page 156

24,303 questions across SSC exams.

  1. SSC CGL • 2022

    A railway engine passes two bridges of lengths 400 m and 235 m in 100 seconds and 60 seconds, respectively. Twice the length of the railway engine (in m) is:

  2. SSC MTS • 2022

    What is the average of 12.5, 18.4, 15.5, 16.6, and 20.4?

  3. SSC CHSL • 2021

    When (2²⁴ - 1) is divided by 7, then the remainder is:

  4. SSC CGL • 2025

    Two circles have radii of 10 cm and 6 cm. If the length of a direct common tangent between them is 16 cm, what is the distance between their centers?

  5. SSC MTS • 2022

    A train 200 m long running, at a speed of 36 km/h, takes 55 seconds to cross a bridge completely. What is the length of the bridge?

  6. SSC CGL • 2025

    If the base of a prism is a regular hexagon of side 8 cm and the height is 12 cm, what is its volume?

  7. SSC Selection Post • 2022

    If x² + 9y² = 40 and xy = 4, where x > 0, y > 0, then what is the value of (x³ + 27y³)?

  8. SSC CHSL • 2021

    One diagonal of a rhombus is 8 √(3) cm. If the other diagonal is equal to its side, then the area (in cm²) of the rhombus is:

  9. SSC GD • 2025

    The fourth proportional to 4, a and 16a is 81. Find the value of a² .

  10. SSC CHSL • 2025

    Average of 5 consecutive even numbers is 24. Find the largest number.

  11. SSC CGL • 2021

    Simplify the following expression: (108×108×108-92×92×92)/(108×108+92×92+108×92)

  12. SSC CHSL • 2022

    Ramesh drives from his home at a speed of 40 km/h and reaches his college 25 minutes late. The next day he increases his speed by 10 km/h, yet he is late by 10 minutes. How far is his college from his home?

  13. SSC GD • 2021

    A metallic slab having dimensions 16 cm × 12 cm × 9 cm is melted and recast in the shape of a cube. What is the surface area (in cm²) of the cube?

  14. SSC GD • 2024

    Find the area of the right angled triangle if the longest side of a right angled triangle is 17 cm and the height is 15 cm.

  15. SSC GD • 2023

    Successive discounts of 10%, 15% and 4% on ₹ 12,500 are equal to:

  16. SSC CGL • 2025

    Three non-overlapping, non-touching circles are drawn in a plane. What is the maximum number of distinct common tangents that can be drawn to them in total?

  17. SSC GD • 2023

    A policeman spots a thief 120 m ahead, immediately the policeman starts chasing the thief. The policeman runs 26 m in a minute and the thief runs 20 m in a minute. In what time will the policeman catch the thief?

  18. SSC Selection Post • 2020

    If x ³ + y ³ = 175 and x + y = 7 , find the value of x ⁴ + y ⁴ .

  19. SSC Selection Post • 2020

    A solid metallic sphere of radius 4.2 cm is melted and recast into a right circular cylinder of radius 6 cm. What is the height (in cm) of the cylinder (correct to one decimal place)?

  20. SSC CHSL • 2019

    A man bought 2 articles for Rs. 3050 each. He sold one article at 10% loss and another at 20% profit. The total profit/loss percentage he earned is?

  21. SSC Selection Post • 2020

    The speed of a boat downstream is 2.5 times its speed upstream. If the total time taken by the boat for going 15 km downstream and the same distance upstream is 4 2/3 hours, then what is the speed (in km/h) of the boat downstream?

  22. SSC CHSL • 2024

    If cotθ = 3/4 , θ is an acute angle, then sinθ + cosθ - tanθ is equal to:

  23. SSC Selection Post • 2020

    If the lengths of three sides of a triangle are 10 cm, 24 cm, and 26 cm, then the length of the median to its greater side is equal to:

  24. SSC CHSL • 2023

    If K + 1/K+2 = 0 and K K¹⁷ + 1/(K¹¹) ?

  25. SSC CHSL • 2023

    If θ is an acute angle and cosθ = 11over17 , what is the value of tanθ?

  26. SSC CGL • 2023

    P, Q and R can complete a piece of work in 9, 12 and 18 days, respectively. Working together, how much work can they complete in one day?

  27. SSC CHSL • 2024

    If a circle whose centre is (2, 3) touches the line 4x + 3y − 7 = 0, then the radius of the circle is:

  28. SSC CHSL • 2024

    AB is parallel to DC in a trapezium ABCD. It is given that AB > DC and the diagonals AC and BD intersect at O. If AO = 3x-15, OB = x + 9, OC = x - 5 and OD = 5, and x has two values x₁ and x₂, then the value of (x₁² + x₂²) is:

  29. SSC GD • 2026

    R is 40 percent more efficient than S. S alone can finish a work in 35 days. In how many days will R alone finish the same work?

  30. SSC CHSL • 2022

    Find the fourth proportional to 7, 13 and 21.

  31. SSC GD • 2019

    The simple interest on a certain sum in [Image] years at 6% p.a. is Rs. 2541. what will be the amount of the same sum in [Image] years at [Image] % p.a.?

  32. SSC CHSL • 2025

    A is twice as efficient as B. A and B together can complete a work in 12 days. In how many days can A alone complete the work?

  33. SSC CGL • 2023

    Two concentric circles of radii 15 cm and 13 cm are given. Find the length of the chord of the larger circle which touches the smaller circle.

  34. SSC CHSL • 2023

    If (x + 1/x ) = 5 sqrt2 , and x > 1, what is the value of (x⁶ - 1/(x⁶) ) ?

  35. SSC CGL • 2025

    If the measure of an exterior angle of a regular polygon is 20 ^° , determine the total number of its sides.

  36. SSC Selection Post • 2022

    Out of his income, Ram spends 20% on house rent and 60% of the rest on household expenditure. If he saves Rs. 4,600 per month, then his total income per month in Rs. is:

  37. SSC CGL • 2019

    The average of 33 numbers is 74. The average of the first 17 numbers is 72.8 and that of the last 17 numbers is 77.2. If the 17^(th) number is excluded, then what will be the average of the remaining numbers (correct to one decimal place) ?

  38. SSC GD • 2021

    The average weight of 56 students in a group is 55 kg. If 12 students of average weight 60 kg leave and 6 students of average weight 52.5 kg join the group, then the average weight of the remaining students in the group decreases by:

  39. SSC Selection Post • 2022

    The price of an item increased by 10%. Anil planned to increase the expenditure on it by 5%. By what percentage must its consumption be reduced so that the expenditure on it is met within the increased amount allocated for it?

  40. SSC GD • 2023

    After allowing a discount of 12% on its marked price, the selling price of a mobile phone is Rs. 22,352. If no discount is allowed, then the shopkeeper gains 25%. The cost price of the mobile phone is:

  41. SSC CHSL • 2025

    440 candies are to be distributed among 'N' number of students such that each student gets (N + 2) candies. Find the value of 'N' if all the candies are distributed.

  42. SSC CGL • 2016

    If the radius of a cylinder opens at both the ends, is decreased by 25%, and the height of the cylinder is increased by 25%. Then the curved surface area of the cylinder thus formed

  43. SSC CGL • 2019

    What is the ratio of the total production of type C cars in 2015 and type D cars in 2017 taken together to the total production of type B cars in 2016 and type A cars in 2017 taken together?

  44. SSC GD • 2019

    Study the following table and answer questions: Number of employees working in five different companies. [Table] What percent of total male employees in companies A and B is the number of female employees in E?

  45. SSC GD • 2026

    A, B and C together can complete a work in 18 days. A and B together can complete the same work in 24 days. C alone can complete the same work in how many days?

  46. SSC CHSL • 2021

    Let O be the centre of a circle. PA and PB are tangents to the circle from a point P outside the circle and A and B are points on the circle. If angle APB = 50º, then angle OAB is equal to:

  47. SSC CHSL • 2024

    Study the given pie charts and answer the question that follows. [Image] If A = percentage of tourists who went to Agra, Amritsar, and Kashi, and B = percentage of tourists whose age lies between 2 years to 50 years, then what is A : B?

  48. SSC CHSL • 2020

    The value of 27 + [3(50 – 20) + 168 ÷ 4 + 2 – 11 × 2] is:

  49. SSC GD • 2023

    If a person weighing 40 kg joins, then the average weight of a group increases by 1 kg. If the weight of this person had been 28 kg, then the average weight of the group would have decreased by 1 kg. The actual average weight of the group is:

  50. SSC CGL • 2022

    A, B and C can do work in 8, 10, and 12 days respectively. After completing the work together, they received Rs. 5,550. What is the share of B (in Rs) in the amount received?