SarkariPYQ

Quantitative Aptitude PYQ — Page 315

24,303 questions across SSC exams.

  1. SSC CHSL • 2022

    Soham’s initial expenditure and savings were in the ratio 5: 1. His income increases by 25%, while his savings increase by 20%. If Soham’s current expenditure is ₹4,347, what was his initial income?

  2. SSC CGL • 2018

    A and B invest in a business in the ratio 4 : 5. After 10 months B leaves the business after withdrawing his investment. In the first year, the business made a profit of Rs 49,000. What is the share of B (in Rs) of this profit?

  3. SSC CHSL • 2025

    The volume of a right circular cone is 80% of that of a right circular cylinder whose height is 50% more than that of the cone. If the radius of the cone is 36 cm, then find the radius of the cylinder.

  4. SSC CHSL • 2025

    A firefighter’s ladder of length 41 meters is resting against a wall and makes an angle x with the ground such that sin x = 40/41. Find the horizontal distance of the foot of the ladder from the wall.

  5. SSC CGL • 2025

    A barrel contains a mixture of alcohol and water in the ratio 7:4 respectively. If 12 litres of water are added to it, the ratio of alcohol to water becomes 7:6. Find the initial total quantity of the mixture in the barrel,

  6. SSC GD • 2021

    The income of A is 80% more than that of B, and the income of C is 25% more than 20% of the combined income of A and B. By what percentage is the income of C less than the income of A?(correct to one decimal place)

  7. SSC CHSL • 2021

    If (3p - 5m) = 5 and pm = 6, then what is the value of (9p² - 25m²)?

  8. SSC CGL • 2025

    A solid pyramid is to be painted. If paint covers 2 m²/litre and total surface is 48 m², how much paint is needed, including 5% extra for retouch?

  9. SSC CHSL • 2023

    If a craftsman were to sell a table at ₹ 1,300, he would lose 35%. To gain 30%, he would sell it for:

  10. SSC MTS • 2022

    If an electricity bill is paid before the due date, one gets a reduction of 2 percent on the amount of the bill. By paying the bill before the due date. Rajiv got a reduction of Rs 40 and Ravina got a reduction of Rs 80. What is the sum of the electricity…

  11. SSC CGL • 2020

    A sells an article to B at a loss of 20%, B sells it to C at a profit of 12.5% and C sells it to D at a loss of 8%. If D buys it for Rs.248.40 , then what is the difference between the loss incurred by A and C?

  12. SSC CHSL • 2023

    In △ ABC, BD̅ ⊥ AC̅ , intersecting AC̅ at D. Also, BD = 12 cm. If m( AD̅ ) = 6 cm and m( CD̅ )4 cm, find the area (in cm²) of △ ABC.

  13. SSC CHSL • 2020

    If cos x = 24/25, 0 ≤ x ≤ 90ᵒ, then the value of cotx + cosecx is:

  14. SSC CHSL • 2025

    If the surface area of a sphere is increased by 44%, by what percentage does the volume of the sphere increase?

  15. SSC CGL • 2022

    If ΔBPQ ≅ ΔASR and ∠A = 1/3 ∠R = ∠S, then find ∠Q. (All angles are in degrees).

  16. SSC CGL • 2023

    The following bar chart shows the trends of foreign direct investment (FDI) into India from all over the world. [Image] What was the average of India's FDI over the years 1992-1995 (rounded off to the nearest integer)?

  17. SSC CHSL • 2025

    Two circular gears of radius 4 and 2 units are mounted so that their centers are 6 units apart. How many common tangents do they have?

  18. SSC GD • 2019

    If 1/A : 1/B : 1/C = 2 : 3 : 4, then what is the ratio of A : B : C ?

  19. SSC MTS • 2022

    Due to a reduction in workforce, the production in a factory decreases by 30%. By what percentage should the working hours per person be increased to restore the original production? (Correct to two decimal places.)

  20. SSC Selection Post • 2024

    In a business, R invests ₹65,000 and he gets a total of ₹80,000 back. Out of profit, ₹2,000 is spent on expenses of the business. What is his profit from the business in percentage?

  21. SSC CGL • 2020

    If 2x + 1, x + 2, 2 and 5 are in proportion, then what is the mean proportion between 3.5(1 – x ) and 8(1 + x)?

  22. SSC CHSL • 2020

    If the length of a rectangle is increased by 12% and the breadth is decreased by 8%, the net effect on the area is:

  23. SSC Selection Post • 2022

    The average of six consecutive odd numbers, in increasing order, is 42. If the next five consecutive odd numbers are included, then what is the average of all the numbers?

  24. SSC Selection Post • 2022

    If y + 1 over y = sqrt5 , then the value of y⁶ + 1 over y⁶ is:

  25. SSC CHSL • 2025

    An invested amount, at a simple interest rate, becomes 7/5 times itself in 5 years. What is the annual interest rate?

  26. SSC CGL • 2022

    The simplified form of (x + 2y)³ + (x - 2y)³ is :

  27. SSC GD • 2021

    A shopkeeper bought 60 kg of rice at ₹ 42 per kg and mixed it with 120 kg rice at ₹ 52 per kg. At what rate (₹ per kg) should he sell the mixture to gain 20%?

  28. SSC CGL • 2023

    The value of (3²)² + 3 × 3 ÷ 3 - 3 is:

  29. SSC Selection Post • 2022

    In a 1000 km trip, a man drives at a speed of 50 km/h for the first five-eighth of the total distance. If he completes the whole journey in 19 hours (resting time not included). what is his speed (in Km/h, correct up to one decimal place) for the rest of the…

  30. SSC Selection Post • 2020

    A person sold an article at a loss of 8%. Had he sold it at a gain of 10.5%, he would have received ₹74 more. What is the cost price (in ₹) of the article?

  31. SSC CGL • 2025

    A man standing on the top of a 120 m high tower observes the angles of depression of two cars on opposite sides of the tower to be 30° and 45°. What is the distance between the two cars?

  32. SSC CHSL • 2021

    A person rows upstream a distance of 55 km in 5 hours and rows downstream a distance of 75 km in 3 hours. How much time will he take to row a distance of 96 km in still water?

  33. SSC CGL • 2020

    The average of five positive numbers is 56. If the first number is three-fourth of the sum of the last four numbers, then the average of the last four numbers is:

  34. SSC CHSL • 2024

    Tom travelled 285 km in 6 hours. In his total travelling, he travelled the first part by bus at 40 km/hr and the remaining part by train at 55 km/hr. How much distance has he travelled by train?

  35. SSC CGL • 2022

    The price of some wooden furniture increases by 65% when it passes through three hands. If the first and second sellers made a profit of 20% and 25%, respectively, then find the profit percentage of the third seller

  36. SSC GD • 2019

    Two trains A and B,186 m and 200 m long.are running at 64 km/h and 80 km/h, respectively on parallel tracks. If they are runningin the opposite directions, then how much time (in seconds) will a person sitting in the first train A take to cross the other…

  37. SSC CHSL • 2023

    Etika purchased a set of wallpapers for 700 and the marked price of a set was 850. The approximate rate of discount was:

  38. SSC CHSL • 2024

    Find the fourth proportional to 2, 6, 8.

  39. SSC CHSL • 2024

    A man can row a boat at speed 8 km/h in still water. It takes thrice as long to row upstream as it does to row downstream. Find the speed of the stream (in km/h).

  40. SSC MTS • 2022

    The following bar chart shows the revenue (in thousand rupees) generated from the sale of 5 different objects, 01 to 05. [Image] The following bar chart shows the profit percentage gained through the sales of these 5 objects. [Image] Profit percentage…

  41. SSC CHSL • 2023

    The below bar graph show's the marks obtained by a student in an examination. What is the average mark obtained by the student? [Image]

  42. SSC CGL • 2025

    The weights of three friends are in the ratio 7 : 8 : 9. If each gains 5 kg, the new ratio becomes 12 : 13 : 14. What is the original weight of the heaviest friend?

  43. SSC CHSL • 2024

    At the beginning of day 1 of a month, Rajesh has 500 eggs. He sells 20% of the eggs by the end of the day and added b% of the eggs at the beginning of the next day and sold 20% of the eggs at the end of the next day. This pattern continued up to the end of…

  44. SSC Selection Post • 2024

    Find the ratio between the fourth proportional of 42, 56, 63 and the fourth proportional of 189, 273, and 153.

  45. SSC Selection Post • 2022

    A notebook was sold for ₹23 with a profit of 15%. If it were sold for ₹21.25, then what would have been the percentage of profit?

  46. SSC CHSL • 2019

    What is the average number of students who passed in the five academic years?

  47. SSC CHSL • 2023

    If a + 5b = 13 and ab = 9, find the value of a² + 25b².

  48. SSC CGL • 2025

    If an investment triples in 6 years with compound interest, how many years will it take to become 27 times the original amount?

  49. SSC CHSL • 2023

    In how many years will ₹ 40000 amount to ₹ 46656 at the rate of 8% compound interest per annum?

  50. SSC Selection Post • 2022

    The sum of three positive numbers is 202. If the ratio of the first number to the second number is 2: 7 and that of the second number to the third number is 5: 8, the difference between the second and third numbers is: