Quantitative Aptitude PYQ — Page 364

24,303 questions across SSC exams.

  1. SSC Selection Post • 2019

    The area of the curved surface of a right circular cylinder is 17.6 m² and its volume is 14 m³. What is the radius of its base?

  2. SSC CHSL • 2023

    Two identical circles touch each other externally at point Z. XY is a direct common tangent, which touches the circles at X and Y, respectively. What is the ∠ XYZ?

  3. SSC CHSL • 2022

    If the sum of two numbers is 25 and their product is 144, then what is the position difference between the two numbers?

  4. SSC CGL • 2025

    A and B invested in a business in the ratio 5 : 6. The profit ratio was 10:9. If B invested his moeny for 12 months, for how many months did A invest?

  5. SSC CHSL • 2024

    The heights of two cones are in the ratio of 5 : 3 and their radii are in the ratio 6 : 5. Find the ratio of their volumes.

  6. SSC CGL • 2022

    The selling price of 28 items is equal to the cost price of 17 items. What is the percentage of profit or loss?

  7. SSC Selection Post • 2022

    In a typing shop, Lalit can complete typing of a book in 9 days, while Amit can finish the same work in 8 days. How many days will they take together to complete the work?

  8. SSC CHSL • 2023

    The bar graph given below shows the production of refrigerators by 6 companies. [Image] The production of refrigerators by A is what percent of the production of refrigerators by E?

  9. SSC CHSL • 2023

    A person bought 80 pens at the rate of Rs. 80 per pen. He sells 40 pens at a loss of 20 percent. If a profit of 20 percent is earned on all the pens together, then what will be the profit percentage on the remaining 40 pens?

  10. SSC CHSL • 2025

    If cosA+sinA=5/4, find tanA.

  11. SSC CHSL • 2020

    How much time will a horse take to run around a square field of side 175 m if it runs at the speed of 15 km/hr?

  12. SSC CGL • 2018

    B would have taken 10 hours more than what A would have taken to complete a task if each of them worked alone. Working together they can complete the task in 12 hours. How many hours would B take to do 50% of the task?

  13. SSC MTS • 2019

    The number of books of S3 is what percent (correct to one decimal place) of the average number of Science books?

  14. SSC CHSL • 2025

    The diameter of a car's wheel is 63 cm. Calculate the distance the car travels when the wheel completes 1000 revolutions.

  15. SSC CGL • 2021

    If sin((2A+B)/2) = cos((2A-B)/2) = (sqrt3)/2 where 0 and 0 then, find the value of sin (3(A-B))

  16. SSC CGL • 2021

    Study the following table and answer the question: Number of Students Appeared (A) and Passed (P) in an annual examination from four schools, Q, R, S & T in five years ( 2014 to 2018) [Table] The total number of students who passed from school S in 2014 and…

  17. SSC GD • 2019

    Study the following graph carefully to answer the questions given below. [Image] What is the average number of Units of laptop sold by all the Companies together?

  18. SSC CGL • 2025

    A hemisphere is inscribed in a cube of side 6 cm. What is the volume of the hemisphere?

  19. SSC CHSL • 2022

    The factors of a² - 1 - 2x - x² are ____.

  20. SSC CHSL • 2021

    The given bar graph indicates the production of sugar (in lakh tonnes) by three different sugar companies P, Q, and R from the year 2015 to 2019. Study the bar graph and answer the question that follows. Production of sugar by companies P, Q, and R from 2015…

  21. SSC CGL • 2025

    The average age of 19 students is 17 years. A teacher joins the group, and the average becomes 18 years. What is the teacher's age?

  22. SSC CHSL • 2025

    If 27³ ÷ 3⁵ = 3ⁿ, find n.

  23. SSC CHSL • 2025

    Simplify: 1/(√(5)-2) + 1/(√(5)+2)

  24. SSC CHSL • 2025

    If sinθ + cosθ = √2, where 0° sin⁴θ + cos⁴θ.

  25. SSC CHSL • 2024

    A chord of length 12 units in a circle of radius 10 units is __ units away from its centre.

  26. SSC CHSL • 2025

    In a manufacturing plant, a cone-shaped part has a curved surface area of 330 cm² and a base radius of 7 cm. What is its height?

  27. SSC CGL • 2022

    A shopkeeper offers his customers a discount of 10%. On an item marked at a price of Rs 400, which was a little damaged, he offered an additional discount of 10%. At what price (in RS) is the item available to the customer?

  28. SSC GD • 2019

    The curved surface area of a cone is 550 cm². If the area of its base is 154 cm², then what will be the volume of the cone?

  29. SSC CGL • 2025

    The speed of a train is 110 kmph. Find the distance covered by the train in 100 seconds.

  30. SSC CHSL • 2025

    Given that 343 × (√(7))ⁿ = 49⁴ , find n.

  31. SSC MTS • 2022

    N₁ alone can do 20% of a piece of work in 6 days, N2 alone can do 20% of the same work in 4 days, and N3 alone can do 50% of the same work in 12 days. In how many days can they complete the work, if all of them work together?

  32. SSC GD • 2021

    The value of 3 × 4 ÷ 3 of 24 - 3 ÷ 2 × (3 - 4) × 2 + 6 ÷ 4 of 3 is:

  33. SSC CGL • 2025

    If a + b = 5 and ab = 6, Find: (a³ + b³)²- 9a²b²(a + b)²

  34. SSC CGL • 2025

    Ther are 5 consecutive even numbers X₁, X₂, X₃, X₄, X₅ and 4 consecutive odd numbers Y₁, Y₂, Y₃, Y₄.The average of the even numbers is 5 more than the average of the odd numbers. If the sum of the even numbers is 30 more than the sum of the odd numbers, find…

  35. SSC CHSL • 2022

    A sum of ₹ 16,875, when invested at r% interest per year compounded annually, amounts to ₹ 19,683 after 2 years. What is the value of r?

  36. SSC Selection Post • 2022

    By selling an article at 9/11 of its actual selling price, a trader incurs a loss of 10%. What will be the profit percentage, if the article is sold for 8% less than its actual selling price?

  37. SSC Selection Post • 2020

    The ratio of the present ages of Prabhu and Ramesh is 4 : 7, respectively. After 5 years, the ratio will change to 5:8. Find the present age of Prabhu.

  38. SSC GD • 2019

    The least number that should be added to 2,397 so that the sum is exactly divisible by 3, 4, 5 and 6 ?

  39. SSC CGL • 2021

    In a circle with center O, point A, B, C, and D in this order are concyclic such that BD is the diameter of the circle. If ∠ BAC = 22°, then find the measures (in degrees ) of ∠ COD.

  40. SSC MTS • 2022

    Simplify the following expression. 15 - \4 - (4 - 1)\ + 27

  41. SSC CHSL • 2021

    What is the product of the largest and the smallest possible values of m for which a number 5m83m4m1 is divisible by 9?

  42. SSC CGL • 2025

    A product is sold at a 20% discount on its marked price. This transaction results in a profit of 10% on its cost price. If the profit earned is ₹300, what would have been the selling price if the product was sold at a 30% discount on its marked price?

  43. SSC CHSL • 2022

    The table below gives the percentage of females and males in different professions, out of total 10000 people. [Table] On the basis of the information provided in the table, find the total number of males who are in the teaching profession.

  44. SSC CGL • 2022

    What is the edge of a cube whose volume is equal to the sum of the volumes of the cubes of edge 6 cm, 8 cm and 10 cm ?

  45. SSC CHSL • 2023

    If two circles of different radii touch externally, then what is the maximum number of common tangents that can be drawn to the two circles?

  46. SSC MTS • 2022

    The male population of a city has increased by 20% from the previous year, while the female population has increased by 42.5%. If the total population of the city has increased by 30%, then the female population of the city was what percentage of male…

  47. SSC Selection Post • 2022

    A type has 3 punctures. The first puncture alone would have made the tyre flat in 14 minutes, the second alone would have done it in 28 minutes, the third alone would have done it in 56 minutes. If air leaks out at a constant rate, how long (in minutes) does…

  48. SSC CHSL • 2025

    A can do a work in 12 days and B in 16 days. They work together for 4 days, then A leaves. In how many more days will B finish the work?

  49. SSC CGL • 2022

    The ratio of the incomes of A and B in the last year was 4 : 3. The ratios of their individual incomes in the last year and the present year are 3 : 4 and 5 : 6, respectively. If their total income in the present year is Rs 24.12 lakhs, then the sum of the…

  50. SSC CHSL • 2025

    Riya invests 60,000 and Kabir invests 80,000. At the end of the year, they earn a profit of 70,000. How much profit does Kabir get?