Quantitative Aptitude PYQ — Page 312

24,303 questions across SSC exams.

  1. SSC CHSL • 2024

    Find the mean proportional between 25 and 81.

  2. SSC CGL • 2021

    A circle inscribed in a quadrilateral ABCD, touching sides AB, BC, CD and DA at P, Q, R and S, respectively. If AS = 6 cm BC = 12 cm, and CR = 5 cm, then the length of AB (in cm) is:

  3. SSC CGL • 2025

    An L-shaped floor is made of two rectangles (6 m × 4 m) and (8 m × 6 m). Tiles cost ₹450/m², but a 10% discount is given if more than 70 m² is tiled. What is the total cost after the discount?

  4. SSC CHSL • 2021

    If the simple interest for 9 years be equal to 45% of the principal, then the rate of interest per annum is equal to:

  5. SSC CGL • 2022

    A person lent Rs. 23000 to B for 3 years and Rs. 19000 to C for 4 years on simple interest at the same rate of interest and received Rs. 3625 in all from both of them as interest. What is the annual rate of interest?

  6. SSC CHSL • 2024

    In a circle, O is the center and AOB is the diameter. AT is a tangent to the circle. Line TB intersects the circle at Q. Given that ∠AOQ = 94°, find ∠ATQ.

  7. SSC CGL • 2023

    5 women and 9 girls earn a total of ₹18,720 in 9 days, while 9 women and 16 girls earn a total of ₹52,080 in 14 days. How much will 12 women and 7 girls together earn (in ₹) in 13 days?

  8. SSC Selection Post • 2024

    A tractor manufacturing company sells each tractor for ₹5,00,000. Assuming that KISAN firm buys 50 tractors from them as a part of an annual contract, the company offers a trade discount of 10% to KISAN and an additional 2% discount if the payment is made…

  9. SSC CHSL • 2024

    Three solid cubes of metal have sides 6 cm, 8 cm and 10 cm, respectively. They are melted to form a new cube. What is the surface area of this new cube?

  10. SSC CHSL • 2023

    O is the centre of a circle, and A is a point on a major arc BC of the circle. ∠BOC and ∠BAC are the angles made by the minor arc BC on the centre and circumference, respectively. If ∠ABO = 40° and ∠ACO = 30°, then find ∠BOC.

  11. SSC GD • 2021

    The value of (2/5 \ of \ 71/2÷ 21/4)+(51/2div32/3 \ of \ 6)-11/3× 5/8 is:

  12. SSC Selection Post • 2024

    Two trains start at the same time from stations P and Q and travel towards each other at the speeds of 75 km/h and 100 km/h, respectively. When they meet, it is found that one train has travelled 50 km more than the other. The distance (in km) between two…

  13. SSC CHSL • 2025

    The ratio of the length and perimeter of a rectangle is 7:22, respectively. If the area of the rectangle is 1,792 cm², then find the breadth of the rectangle.

  14. SSC CGL • 2024

    Study the given bar graph and answer the question that follows. The following bar graph shows the higher secondary students of a school for years 2018, 2019, and 2020. [Image] What was the percentage of students who passed in the first division in 2019?

  15. SSC CGL • 2019

    The LCM of two numbers x & y is 204 times their HCF. If their HCF is 12 and the difference between the numbers is 60, then x + y = ?

  16. SSC Selection Post • 2024

    Rashi travelled a distance of 400 km at an average speed of 50 km/h. She covers the first half distance in the first lag in 2 hours, while she covers another lag at half the speed of that of the first lag in 1 hour. What is the speed (in km/h) of the…

  17. SSC Selection Post • 2022

    A shopkeeper sold an item for ₹495 with 10% profit. In order to earn 16% profit, by how much (in ₹) should he increased the selling price?

  18. SSC CHSL • 2021

    If A is 28% less than B and C is 25% less than the sum of A and B, then by what percentage will C be more than A (correct to one decimal place)?

  19. SSC Selection Post • 2022

    A takes 42 hours to complete the work. B completes the same work in two-thirds of the time taken by A. What fraction of the work will they do in 14 hours?

  20. SSC CGL • 2020

    The given table shows the number (in thousands) of cars five different models A,B,C,D and E produced during years 2012-2017. Study the table and answer the question that follow. [Image] The percentage increase in the total cars in 2016 over 2012, is:

  21. SSC CHSL • 2025

    The average salary of employees in a company is ₹20,000. If a new employee with a salary of ₹50,000 joins, the average increases by ₹500. Find the number of employees originally in the company.

  22. SSC CGL • 2020

    Study the given table carefully and answer the question that follows. [Table] The percentage of students who have passed with distinction in the year 2012, is:

  23. SSC CGL • 2024

    In triangle ABC, D is the midpoint of BC. If DL is perpendicular to AB and DM is perpendicular to AC such that DL = DM, then the triangle will be:

  24. SSC CGL • 2025

    A's salary is 40% more than B's. If B's salary increases by 20% and A's increases by x%, then A's new salary becomes 25% more than B's new salary. What is the value of x?

  25. SSC CHSL • 2020

    The following graph shows the data of the number of candidates that appeared and qualified for a competitive exam from the colleges A, B, C, D, E. [Image] Based on the information, the different between the percentage of students that qualified, from the…

  26. SSC CGL • 2022

    The given pie chart show the monthly household expenditure of Family A and Family B under various heads. The monthly expenditure increased for Family A and FAmily B are Rs 50,000 and Rs 75,000 , respectively . Study charts carefully and answer the question…

  27. SSC Selection Post • 2019

    A number is increased by 35% and then decreased by 25% and again increased by 15%. What is the total increase/decrease percentage (rounded off to the nearest integer) in the number?

  28. SSC CHSL • 2024

    ∆DEF and ∆GHI are two similar triangles. If DE = 64 cm, GH = 24 cm, and the perimeter of ∆GHI is 72 cm, then what is the sum of the lengths (in cm) of the sides EF and FD of the ∆DEF?

  29. SSC CHSL • 2025

    If sec(θ)=2 and θ is in the first quadrant, what is the value of tan(θ)?

  30. SSC CHSL • 2022

    Raghuvir purchased some perishable items for sale but 36% of those items could not be sold and went bad. However, Raghuvir managed to sell the rest of the items at a price that helped him earn an overall profit of 28%. At what percentage above the cost price…

  31. SSC Selection Post • 2020

    A certain number of persons can complete a task in 28 days. If there were 150 persons more, it would have taken 7 days less for the task to be completed. How many persons are there in the beginning?

  32. SSC Selection Post • 2024

    A bus covers the first 70 km of its journey in 40 minutes and the remaining 60 km in 30 minutes. The average speed of the bus, in km/h, is:

  33. SSC CGL • 2025

    A steel plate is in the shape of a right triangle. The lengths of the legs are in the ratio 5:12. If the hypotenuse is 13 m, what is the area?

  34. SSC CHSL • 2022

    Find the volume of a solid hemisphere whose radius is 6.3 cm.(Use π = 22/7)

  35. SSC Selection Post • 2022

    Find the largest value of k such that a 6-digit number 450k1k is divisible by 3.

  36. SSC CHSL • 2025

    A product is sold for ₹1,680 after a discount of 16% is given on its marked price. What would be the selling price if the discount was 25?

  37. SSC Selection Post • 2022

    If mean proportional of K and 32 is 16, then what is the value of K?

  38. SSC CHSL • 2021

    Study the following graph and answer the question that follows. Marks scored by five students in three subjects (Maths, English and Physics). Total marks for each subject are 100. [Image] What is the difference between the total marks obtained by B and the…

  39. SSC CGL • 2024

    A right triangle with sides 3 cm, 4 cm and 5 cm is rotated about the sides of 3 cm to form a cone. The volume of the cone so formed is:

  40. SSC CGL • 2018

    If ABCDEF is a regular hexagon, then what is the value (in degrees) of ∠ADB?

  41. SSC CGL • 2018

    A, B and C invest to start a restaurant. The total investment was Rs 3 lakhs. B invested Rs 50,000 more than A and C invested Rs 25,000 less than B. If the profit at the end of the year was Rs 14,400 then what is C's share of the profit (in Rs)?

  42. SSC CHSL • 2021

    A merchant announces 25% discount on the price of a shirt. If one needs to have a total rebate of Rs. 875 and the price of each shirt is Rs. 250, then how many shirts should the person purchase?

  43. SSC CGL • 2018

    A and B started a partnership business investing in the ratio of 3 : 8. C joined them after 4 months with an amount equal to 3/4^(th) of B . What was their profit (in Rs) at the end of the year if C got Rs 24,000 as his share ?

  44. SSC CGL • 2022

    Study the given table (income in dollars) and answer the question that follows. [Table] The income from bonus is how much percent of the income from arrears in the case of Adam?

  45. SSC CGL • 2022

    If x-y+z = 0, then find the value of (y²)/2xz - (x²)/2yz - (z²)/2xy

  46. SSC CGL • 2025

    A, B, and C can complete a certain task in 20, 30, and 60 days, respectively. How many days will it take for A to finish the work if he receives help from B and C every third day?

  47. SSC CHSL • 2025

    A rectangle has one side of 6 cm, and its diagonal is 22 cm. Find the other side and the area.

  48. SSC Selection Post • 2024

    The average of six numbers is 4. The average of two of them is 3.5, while the average of the other two is 3.75. What is the average of the remaining two numbers?

  49. SSC GD • 2019

    Height of a right circular cone is 28 cm. If diameter of its base is 42 cm, then what will be the curved surface area of the cone?

  50. SSC CHSL • 2025

    A sum becomes ₹12100 in 2 years at 10% Compound Interest annually. Find the principal.