SarkariPYQ

Quantitative Aptitude PYQ — Page 96

24,303 questions across SSC exams.

  1. SSC CGL • 2018

    A cuboid of size 50 cm × 40 cm × 30 cm is cut into 8 identical parts by 3 cuts. What is the total surface area (in cm²) of all the 8 parts ?

  2. SSC GD • 2023

    If 2³⁰⁵ + 303 is divided by 9, then the remainder is:

  3. SSC CGL • 2018

    A flag of height 4 metres is standing on the top of a building. The angle of elevation of the top of the flag from a point X is 45° and the angle of elevation of the top of building from X is 30°. Point X is on the ground level. What is the height (in…

  4. SSC Selection Post • 2025

    A man walks at 4 km/h. After 6 hours, he is overtaken by a cyclist who started 2 hours after him. What is the speed of the cyclist?

  5. SSC GD • 2024

    A is firstly increased by 20 percent and then it is decreased by 30 percent. The final value of A is what percentage of the initial value of A?

  6. SSC Selection Post • 2025

    A metallic sphere of radius 7 cm is melted to form a cone of height 28 cm. Find the radius of the cone.

  7. SSC Selection Post • 2025

    A circular garden is divided into 4 equal parts. If the total area is 314 m², what is the central angle of one part and its area?

  8. SSC GD • 2023

    Two trains, starting at the same time from two stations 100 km apart are travelling towards each other and they cross each other at a distance of 70 km from one of the stations. What is the ratio of their speeds?

  9. SSC GD • 2025

    A man sold an article for ₹216, there by gaining 20%. The cost of the article (in ₹) was:

  10. SSC GD • 2025

    What will be the difference in population between 3 years ago and 2 years ago of a town, whose current population is 100000 and which is increasing at a rate of 25% every year?

  11. SSC Selection Post • 2025

    The angle of elevation of the top of a tower is 30° from a point on the ground. On moving 100 m closer to the base, the angle becomes 60°. Find the height of the tower.

  12. SSC GD • 2026

    The side of a square is 12 cm. What is the diagonal (in cm) of the square?

  13. SSC CGL • 2020

    A and B can do a work together in 18 days. A is three times as efficient as B. In how many days can B alone complete the work?

  14. SSC Selection Post • 2025

    The mean of 2,7,5,9,14,5 is m. The numbers 12,17,19,64,9, -54, p have mean m+5 and median q. Then find the value of p + q.

  15. SSC GD • 2025

    Find the fourth proportional of 4, 6 and 5.

  16. SSC GD • 2025

    What will be the difference in population between 3 years ago and 2 years ago in a town whose current population is 110,000 and which is increasing at a rate of 25% every year?

  17. SSC GD • 2025

    The LCM of 16, 21, 364 and 156 is:

  18. SSC GD • 2023

    After getting two successive discounts Rupa got a dress at Rs. 1619.20, whose marked price is Rs. 2000. If the second discount is 8 percent, then the first discount is:

  19. SSC GD • 2024

    Renson has three pieces of wood of length 91 m, 112 m, and 49 m. If he wants to cut the wood into equal planks, what is the greatest possible length (in m) of each plank?

  20. SSC GD • 2023

    Simplify the following. {8.4 ÷ 12 × [(27 - 6)² ÷ 3] (7 - 5)}

  21. SSC CGL • 2018

    The distance between the tops of two building 38 metres and 58 metres high is 52 metres. What will be the distance (in metres) between two buildings?

  22. SSC Selection Post • 2025

    The ratio of the ages of two friends is 7:8. After 12 years, the ratio becomes 9:10. What are their present ages?

  23. SSC CGL • 2025

    A prism with a square base of side length 5 cm is constructed in layers. Its height follows an arithmetic progression, increasing from 4 cm in the first layer to 16 cm in the fourth layer. What is the total volume of the prism?

  24. SSC GD • 2023

    How many prime numbers exist between 50 and 80?

  25. SSC Selection Post • 2025

    A student secured 1080 marks in an exam out of 1800. What is their percentage?

  26. SSC GD • 2023

    A can complete 2/5th of the work in 12 days, and B can complete 7/8th of the same work in 21 days. Find the number of days in which A and B together can complete the work.

  27. SSC Selection Post • 2025

    A cuboidal tank has dimensions: Length = 25 cm, Breadth = 20 cm, and Height = 16 cm. If the length is increased by 10%, the breadth is decreased by 10%, and the height is increased by 25%, then by what percentage does the volume of the tank change?

  28. SSC GD • 2025

    The average age of 54 students of a class is 37 years. If the age of the teacher is also included, the average age of the whole group becomes 38 years. The age (in years) of the teacher is:

  29. SSC Selection Post • 2025

    If sin²θ = 1 – cos²θ, then what is the value of sin⁴θ in terms of cos²θ?

  30. SSC GD • 2023

    The expenses on rice, petrol and oil of a family are in the ratio 8 : 11 : 6. If the prices of these items are increased by 10%, 20%, and 30%, respectively, then the total expenses of the family on these items are increased by:

  31. SSC GD • 2023

    If 2P = 3Q = 5R and P + Q + R = 6200, then the difference between P and R is:

  32. SSC GD • 2025

    Find the value of [(14 ÷ 2 ) × { 14over7 + 40over3 × (7 - 4) }]

  33. SSC Selection Post • 2025

    In triangle ABC, if the orthocenter is (3,−2) and the circumcenter is (0,4), find the centroid.

  34. SSC CGL • 2016

    A train 'B' speeding with 100 kmph crosses another train C, running in the same direction, in 2 mins. If the length of the train B and C be 150m and 250m respectively, what is the speed of the train C (in kmph) ?

  35. SSC GD • 2023

    If 12 men can build a wall 60 metres long in 5 days, then what length of a similar wall can be built by 24 men in 2 days ?

  36. SSC GD • 2024

    A alone can complete a work in 20/3 days. A and B together can complete it in 5 days. How long will B alone take to complete the work?

  37. SSC Selection Post • 2025

    The data given below shows the rainfall (in cm) recorded in a city on 5 different days. Rainfall: 5, 6, 8, 10, 11 Find the sample variance of the given data.

  38. SSC GD • 2023

    A solid sphere is cut into two equal halves. What is the ratio of the total surface area of each hemisphere to that of the solid sphere?

  39. SSC GD • 2026

    (√((36+29)² - 4 × 36 × 29)) = ?

  40. SSC GD • 2025

    The mean proportional of 0.5 and 72 is:

  41. SSC GD • 2023

    The average attendance at a cricket club dropped from 5640 last year to 3820 this year. What was the percent decrease from last year to this year?

  42. SSC Selection Post • 2025

    What percentage of numbers from 1 to 70 have 1 or 9 in the unit's digit?

  43. SSC GD • 2023

    Radha takes a loan of Rs.4,00,000 at 14% per annum compound interest, compounded half-yearly. What is the interest that she repays after 2 years?

  44. SSC GD • 2025

    Mohan sold 153 chairs and had a gain equal to the selling price of 68 chairs. What is his profit percentage?

  45. SSC CGL • 2019

    PQRS is a cyclic quadrilateral in which PQ = 14.4 cm, QR = 12.8 cm and SR = 9.6 cm. If PR bisects QS, what is the length of PS?

  46. SSC Selection Post • 2025

    In a circle with center O, a chord AB is such that ∠AOB = 130°. What is the measure of ∠ACB, where C lies on arc AB?

  47. SSC GD • 2025

    Anand has ₹1218 with him. He divided it amongst his sons Anil and Ashok and asked them to invest it at 10% rate of interest compounded annually. It was seen that Anil and Ashok got same amount after 15 and 16 years respectively. How much (in ₹) did Anand…

  48. SSC GD • 2025

    400 pears were bought at ₹1230 per hundred and were sold at a profit of ₹980. Find the selling price (in ₹) per dozen of pears.

  49. SSC GD • 2023

    Divide the LCM of the 35 and 42 by the HCF of 32 and 40.

  50. SSC GD • 2024

    On selling a book at 16/25 of the marked price there is a loss. What will be the ratio of marked price and selling price of the book?