Quantitative Aptitude PYQ — Page 233

24,303 questions across SSC exams.

  1. SSC CGL • 2023

    Find the remainder when 8⁸ + 6 is divided by 7.

  2. SSC Selection Post • 2022

    A man borrowed money for 2 years and paid back into equal annual instalments of ₹2,260 at 5% compound interest, compounded annually. What was the sum (in ₹, the nearest tens) borrowed?

  3. SSC GD • 2023

    The average cost of 10 items is Rs.89. If one item costs Rs.35, then find the average cost of remaining 9 items (in Rs.).

  4. SSC CHSL • 2025

    In a rhombus, the diagonals are in the ratio 8:15. If the side of the rhombus is 17 cm, determine the exact lengths of both diagonals and the area.

  5. SSC GD • 2021

    From a basket full of eggs, 20% of the eggs broke, 8% were rotten and 24% were kept aside for baking a cake. The remaining 12 eggs were consumed by some people. How many eggs were there in the basket initially?

  6. SSC GD • 2025

    Amit invests a sum of ₹5400 and Gopal invests a sum of ₹9400 at the same rate of simple interest per annum. If, at the end of 3 years, Gopal gets ₹840 more interest than Amit, then find the rate of interest per annum (in percentage).

  7. SSC Selection Post • 2020

    The marked price of an article is ₹600. If a shopkeeper gives two successive discounts of 20% and 10% on the marked price of the article, how much would be the selling price (in ₹) of the article?

  8. SSC GD • 2021

    If the average of the following six observations x + 2, x + 5, x + 8, x + 11, x + 14 and x+17 is 12.5, what is the average of the first three observations?

  9. SSC CGL • 2025

    If every exterior angle of a regular polygon is 60°, how many sides does the polygon have?

  10. SSC CHSL • 2025

    Aditya is twice as good a workman as Bipin and therefore can finish a job in 30 days less than Bipin. How many days are required to complete the job if working together?

  11. SSC CGL • 2023

    The following figure shows the different expenses that are incurred in manufacturing toys. If the total expenditure is Rs 3,00,000, then how much expenditure was incurred on Material Cost and Selling Expenses (in Rs)? [Image]

  12. SSC CGL • 2024

    If xover x²-2x+1=1over3 ,then the value of x³+1over x³ is:

  13. SSC CHSL • 2022

    Study the given pie-chart and answer the question that follows. The pie-chart below represents the actual number of students securing different grades in a science test. [Image] Calculate the percentage of students who took the test and secured a D grade.

  14. SSC GD • 2024

    A mixture contains acid and water in the ratio of 7 : 4. If 2 litres of water is added to it, then the ratio of acid and water becomes 7 : 5. What is the quantity of acid in the mixture?

  15. SSC Selection Post • 2022

    In ∆TAP, ∠TAP = 60°, TA = 6 cm, AP = 8 cm. K is the midpoint of AP. A line from K is produced to meet TP at O such that ∠AKO = 120°. Find the length of OK.

  16. SSC CHSL • 2023

    Aman wants to get his spherical overhead water tank having a diameter of 7 m, painted. If the cost of painting is Rs 13 per square meter, find the cost of painting Aman's spherical overhead water tank. (Use π = 22/7)

  17. SSC GD • 2023

    If a number 'a' is divisible by 18 and another number 'b' is divisible by 12, then find the number by which (a²- b²) is divisible.

  18. SSC CGL • 2021

    The average of 23 numbers is 51. The average of the first 12 numbers is 49 and the average of the last 12 numbers is 54. If the twelfth number is removed, then the average of the remaining numbers ( correct to two decimal places ) is :

  19. SSC GD • 2021

    Reema sold a suit at a profit of 10.5%. If she had sold it for Rs. 70 more, then the profit would have been 14%. The initial selling price (in Rs.) of the suit is:

  20. SSC CHSL • 2020

    If tan²x - 3sec²x + 3 = 0, then the value of x (0 ≤ x ≤ 90ᵒ) is:

  21. SSC GD • 2025

    If the cost price of a camera is 75% of its selling price, then the profit per cent is:

  22. SSC Selection Post • 2024

    Find the area of a right angle whose base is 15 cm and hypotenuse is 17 cm.

  23. SSC CGL • 2018

    A, B and C together can build a wall in 12 days. C is four times as productive as B and A alone can build the wall in 48 days. In how many days A and B working together can build the wall?

  24. SSC CGL • 2021

    Simplify the following expression: 3 × 8 ÷ 9 of 6 - 2 ÷ 3 × (5 - 2) × 2 + 18 ÷ 3 of 3

  25. SSC GD • 2024

    What is the value of 12 ÷ 3 of 4 - 88 + 75 + 6 × 2 of 15?

  26. SSC GD • 2021

    If X & Y together can complete the work in 10 days, Y and Z can complete the work in 12 days, and Z & X can complete the work in 15 days, then X alone will complete the work in:

  27. SSC CHSL • 2020

    A man purchased a car for Rs.12 lakhs and was insured for 80% of the cost. He sold the car at a 15% loss but had not yet delivered it to the buyer when he met with an accident. After the accident, the car was damaged a lot and the insurance company paid 90%…

  28. SSC CHSL • 2025

    A school conducted a scholarship test where 60% of the students passed in English, 70% passed in Math, and 45% passed in both. What is the percentage of students who passed in at least one subject?

  29. SSC CHSL • 2023

    If a+b+c=0 , then what is the value of a³+b³+c³ ?

  30. SSC CGL • 2024

    Pipes A and B can fill a tank in 15 hours and 25 hours, respectively, whereas pipe C can empty the full tank in 40 hours. All three pipes are opened together, but pipe A is closed after 5 hours. After how many hours will the remaining part of the tank be…

  31. SSC CGL • 2022

    If sec A = 17/8 , given thatA (34sinA+15cotA)/(68cosA - 16 tanA)

  32. SSC Selection Post • 2022

    If x - y + z = 0, then what is the value of (x² + yz) ÷ (x² + y² + z²)?

  33. SSC CGL • 2022

    On the three numbers, the second is one-third of the first and is also three-fourths of the third number. If the average of three numbers is 112, then what is the smallest number?

  34. SSC CHSL • 2019

    In a circle with centre O, AD is a diameter and AC is a chord. B is a point on AC, such that OB = 5 cm and ∠OBA = 60°. If ∠DOC = 60°, then what is the length of BC?

  35. SSC CGL • 2021

    The average of ten numbers is 32.5. The average of first four numbers is 25.6 and that of the last three numbers is 38.2. The 5th number is 50% more than the 6th number and 8 less than the 7th number. What is the average of 5th and 7th numbers?

  36. SSC CGL • 2025

    If the perimeter of a regular octagon is 80 cm, what is the side length?

  37. SSC GD • 2025

    Find the surface area (in cm²) of a sphere whose diameter is 21 cm.

  38. SSC GD • 2023

    The volume of a right circular cylinder is 180 cm³, the area of its base is 30 cm² and the height is 6 cm then, find the diameter of the cylinder is (in cm):

  39. SSC GD • 2025

    The price of fuel decreases by 25%, 15% and 45% in three successive months, but increases by 65% in the fourth month. What is the percentage increase/decrease in the price of fuel in the fourth month as compared to its original price?

  40. SSC Selection Post • 2022

    A woman cycle 30 km in 1 hours 45 minutes. A part of her journey is on a level road 18 km long, and the remaining journey is uphill. If the woman's average speed on the level road is 24 km/h, what is her uphill speed (in km/h)?

  41. SSC Selection Post • 2022

    The ratio of the number of boys and girls who appeared in the examination from institutes S and T is 11 : 12 and 5 : 4. respectively. What is the difference between the total number of boys who appeared from institutes S and T and the total number of girls…

  42. SSC Selection Post • 2019

    If 3.4% of 600 × 2.5% of x = 382.5, then the value of x is:

  43. SSC Selection Post • 2020

    The average marks obtained by 240 students in a certain examination is 35. If the average marks of the passed candidates are 39 and that of the failed candidates are 15, then the total number of candidates who passed the examination is:

  44. SSC CGL • 2024

    The ratio of two numbers is 2 : 5 and their difference is 210. The smaller number is ____.

  45. SSC CHSL • 2023

    Two circles touch each other externally at any point C. PQ is the direct common tangent to both the circles touching the circles at point P and point Q. If the radii of the circles are 36 cm and 16 cm, respectively, then the length of PQ is:

  46. SSC GD • 2025

    How many kilograms of sugar at ₹3.80 per kg should be mixed with 60 kgs of sugar at ₹4.60 per kg, so that by selling the mixture at ₹5 per kg, there may be gain of 25%?

  47. SSC CGL • 2022

    If (4x - 7y) = 11 and xy = 8, what is the value of 16x² + 49y², given that x and y are positive numbers?

  48. SSC GD • 2023

    Sanju can do a piece of work in 17 days, and Rohan can do the same work in 68 days. Find the time required to complete the same work if they are working on alternate days and Sanju starts the work on the first day

  49. SSC GD • 2026

    The difference between the selling price when an article is sold for 25 percent discount and the selling price when it is sold for 18 percent discount is Rs. 70. What is the marked price of the article?

  50. SSC GD • 2025

    If at same rate of interest, in 2 years, the simple interest is ₹42 and compound interest is ₹45, then what is the principal (in ₹)?