Quantitative Aptitude PYQ — Page 328

24,303 questions across SSC exams.

  1. SSC CGL • 2024

    Places A and B are 20 km apart on the highway. A car starts from A and another from B at the same time. If the cars travel in the same direction at different speeds, they meet in one hour. If they traveled towards each other, they met in 12 minutes. What are…

  2. SSC CHSL • 2019

    A can complete a piece of work in 20 days and B can complete 20% of the work in 6 days. If they work together, in how many days can they finish 50% of the work, if they work together?

  3. SSC CGL • 2023

    Suppose △PQR and △STU are congruent triangles under ASA. If ∠PQR = 60°, ∠PRQ 30° and ∠STU = 60°, find ∠TSU.

  4. SSC Selection Post • 2022

    A tap can fill a tank in 6 hours after 4 hours it was found that only 60% of the tank is full due to a leakage at the bottom which was then immediately repaired.In how much time will the tank to completely filled?

  5. SSC CHSL • 2025

    Rs. 12,000 is invested at the rate of 8% p.a. for 4 years at simple interest in scheme 'A'. The amount received from scheme 'A' is then invested for 2 years at rate of 5% p.a., compounded annually in scheme 'B'. Find the amount received from scheme 'B'.

  6. SSC CGL • 2020

    If x² - 2√(5x) + 1 = 0, then what is the value of x⁵ + (1/x⁵)?

  7. SSC CHSL • 2020

    A man sold his furniture at a 25% gain. Had he sold it at 15% loss, he would have received Rs.800 less. Find cost price of the furniture.

  8. SSC Selection Post • 2019

    The number of seats in a cinema hall is increased by 20% and the price of a ticket is also increased by 8%. What is the percentage increase in the revenue collected?

  9. SSC Selection Post • 2022

    If Rakesh’s income exceeds Surinder’s income by 90% and Surinder’s income is less than Sandeep’s income by 10%, then find the ratio of the incomes of Rakesh and Sandeep.

  10. SSC CHSL • 2021

    If k - 3/k=5 , then what is the value of k² + 9/(k²) ?

  11. SSC CGL • 2023

    Quantity of various food items a restaurant uses during 4 months of a year (in kg). [Table] What is the average quantity of food item C used during all 4 months together?

  12. SSC Selection Post • 2022

    The ratio of expenditure to savings of a woman is 2 : 1. If her income and expenditure increase by 17% and 13%, respectively, then find the percentage increase in her saving.

  13. SSC CHSL • 2021

    A solid metallic right circular cylinder has diameter 32 cm and height 9 cm. It is melted and recast into a solid sphere. What is the radius (in cm) of the sphere?

  14. SSC CGL • 2025

    An oven has a marked price of ₹12,000. It is sold with two successive discounts. If the second discount is 20% and the final selling price is ₹8,400, what is the percentage of the first discount?

  15. SSC CHSL • 2020

    The following graph shows the production of paddy in the agricultural land available in the 6 places S1, S2, S3, S4, S5, S6 (area in hundreds of hectares and production in thousands of tones) [Image] Based on the information, the production ratio (production…

  16. SSC CHSL • 2025

    A sum of ₹10,000 is lent at a certain rate of simple interest. The amount at the end of 5 years is ₹15,000. If the rate of interest were 2% more, what would the simple interest be at the end of 5 years?

  17. SSC CHSL • 2025

    Simlify the Equation: (3√(2))/(√(6)+√(3)) - (4√(3))/(√(6)+√(2)) + (√(6))/(√(3)+√(2))

  18. SSC CHSL • 2023

    Two triangles, MNO and XYZ are given similar with the ratio of their side as 9 : 4. If the area of the larger triangle is 243 sq. cm, then the area of the smaller triangle will be:

  19. SSC CGL • 2021

    The cost price and the marked price of an item are ₹720 and ₹900 respectively. When it is sold at a discount of x%, the profit is 5x/3% %. What is the value of x?

  20. SSC CGL • 2021

    At what rate percent per annum will Rs7200 amount to Rs7938 in one year, if interest is compounded half yearly?

  21. SSC CGL • 2022

    The value of (5cos²62ᵒ+5cos²28ᵒ-21)/(7sin²35ᵒ+7sin²55ᵒ+1) is:

  22. SSC CHSL • 2024

    If the graph of the equation 20x + 21y = 420 cuts the coordinate axes at P and Q, then what is the measure of the length (in units) of PQ?

  23. SSC Selection Post • 2022

    On what sum of money will the difference between simple interest and compound interest for 2 years at 10% per annum be equal to Rs.250?

  24. SSC CGL • 2025

    The monthly average salary for 12 workers plus one manager is ₹18,000. If the manager earns ₹30,000 per month, what is the average monthly salary of the 12 workers?

  25. SSC CHSL • 2025

    A and B invested Rs. 60,000 and Rs. 90,000, respectively. If the profit at the end of the year is Rs. 1,50,000, what is B’s share?

  26. SSC Selection Post • 2022

    If 50 men working 8 hours a day can complete a work in 20 days, then in how many days will 32 men working 10 hours a day complete the same work?

  27. SSC CGL • 2024

    If each side of an equilateral triangle is 37 √(3) cm, then its altitude (in cm) is equal to:

  28. SSC GD • 2021

    The value of (1/2) of (1/3) - (2/3) of (4/5) + 4 ÷ 7 + 3 of 7 ÷ 2 is:

  29. SSC CHSL • 2025

    The average of 15 numbers is 28. If each number is doubled and then 5 is added to each, what will be the new average?

  30. SSC CGL • 2024

    Find the value of sec\ 35°over cosec\ 55°\ -\ cos\ 25°over sin\ 65° .

  31. SSC CGL • 2024

    The following table gives the total number of employees in 5 different companies A, B, C, D and E and the percentage of males and females. Study the table carefully and answer the question. Find the number of females in companies A, C and E put together…

  32. SSC GD • 2021

    Sudha gains 30% by selling an article for Rs. 91. If she sells for Rs. 78.75, then what will be her percentage loss/gain?

  33. SSC CGL • 2024

    The total number of A-type cars produced by the company from 2015 to 2017 is what percentage (rounded off to the nearest integer) is more or less than the total number of C-type cars produced by the company from 2016 to 2018?

  34. SSC CHSL • 2024

    The given chart represents the sales of automobiles in India (by type, in million units) from the year 2011 to 2014. Study the chart and answer the question that follows. [Image] The percentage increase in the sales in 2013 over the previous year was the…

  35. SSC Selection Post • 2022

    A can finish one-third of the work in 5 days, and B can finish 50% of the same work in 15 days. If they work together, then in how many days will they finish 50% of the work?

  36. SSC CGL • 2024

    An article is marked at Rs. 550. If it is sold at a discount of 40%, Then the selling price becomes 10% more than its cost price. What is the cost price (in Rs.)?

  37. SSC CHSL • 2020

    If in the following figure (not to scale), ∠DAB + ∠CBA = 90ᵒ, BC = AD, AB = 20 cm, CD = 10 cm then the area of the quadrilateral ABCD is: [Image]

  38. SSC CPO • 2025

    The sum of the lengths of all edges of a cuboid is 64 cm. If its length is 8 cm and breadth is 4 cm, find the height.

  39. SSC CHSL • 2023

    Let ΔABC and ΔPQR be two congruent right-angled triangles such that A = P = 90°. If BC = 13 cm and PR = 12 cm, then find the length of AB.

  40. SSC CHSL • 2025

    A train covers 100 km at a speed of 50 km/h. Due to track repair, it reduces speed by 40% for the next 60 km. What is the total time taken for the full journey?

  41. SSC CHSL • 2023

    If (x + 1/x ) = 5, then the value of (x⁵ + 1/(x⁵) ) is:

  42. SSC CHSL • 2025

    A light beam reflects such that tan A + cot A = 5 and A is an acute angle. Find the value of tan³ A + cot³ A.

  43. SSC CHSL • 2024

    An amount invested fetched a total simple interest of ₹4,050 at the rate of 9% per annum in 5 years. What is the amount invested (in ₹)?

  44. SSC CGL • 2025

    An L-shaped floor is formed by adjoining a 10 m × 6 m and a 6 m × 4 m rectangle. Tiles cost ₹350/m². What is the total cost to tile the floor?

  45. SSC CGL • 2019

    In a circle with centre O, PQR is a tangent at the point Q on it. AB is a chord in the circle parallel to the tangent such that ∠BQR = 70ᵒ. What is the measure of ∠AQB?

  46. SSC Selection Post • 2022

    What is the average of the following observations? 2.5, 3.25, 4.75, 7.5, 3, 4, 3

  47. SSC CHSL • 2025

    Three vessels P, Q, and R have capacities in the proportion 2 : 3 : 5. Each vessel is filled with a mixture of alcohol and water, where the respective ratios are 1 : 1 in P, 2 : 1 in Q, and 3 : 1 in R. If the entire contents of these three vessels are poured…

  48. SSC CHSL • 2024

    The ratio of the outer and the inner circumference of a circular path is 7 : 6. If the path is 45 m wide, then what is the radius (in m) of the inner circle?

  49. SSC MTS • 2022

    What is the ratio of the total number of green bottles sold by the 5 shops taken together to the total number of red bottles sold by the 5 shops taken together?

  50. SSC GD • 2019

    If Sohan is driving a bike at a speed of 25 m/s, then in how much time Sohan will cover a distance of 540 km?