Quantitative Aptitude PYQ — Page 358

24,303 questions across SSC exams.

  1. SSC CHSL • 2023

    A can do the work in 18 days and B in 24 days. If they work on it together for 5 days, then find the fraction of the work which is left.

  2. SSC CHSL • 2022

    A shopkeeper earns a profit of 12% on selling a book at a 10% discount on the printed price. The ratio of the cost price to the printed price is:

  3. SSC CGL • 2019

    If a + b + c = 8 and ab + bc + ca = 20, then a³+ b³+ c³– 3abc is equal to?

  4. SSC CHSL • 2025

    Two identical circular plates, each at their maximum size, are cut from a circular sheet of paper with a circumference of 352 cm. The circumference of each circular plate is

  5. SSC CGL • 2025

    A sum of ₹5000 is lent out in two parts, one at 6% simple interest and the other at 9% simple interest, if the annual interest is ₹390, the sum lent at 6% is:

  6. SSC CGL • 2023

    Which of the following numbers is divisible by 99?

  7. SSC CGL • 2023

    A, B and C can do a work in 10 days, 15 days, and 20 days, respectively. They finished that work together and got Rs. 2,600 as wages. Find C's wage.

  8. SSC CHSL • 2024

    If the price of a commodity is increased by 36%, by what percentage (rounded off to 1 decimal place) should its consumption be decreased so that the expenditure of the commodity stays the same?

  9. SSC CGL • 2021

    If 4x⁴ = 5x²- 1, x > 1/(sqrt2) , then what is the value of (2x² - x - 1)?

  10. SSC Selection Post • 2020

    In △ ABC, ∠ C = 90°; D is the midpoint of BC; and DE ⊥ AB at E. IF AB = 13 cm and BE = 5 cm, then the area of the square drawn on BC is equal to:

  11. SSC CHSL • 2021

    If (x over y+1)=4, then what is the value of (x²+y² over y²) ?

  12. SSC CHSL • 2023

    The remainder of the term 9 + 9² + ... + 9⁽²ⁿ⁺¹⁾ when divided by 6 is:

  13. SSC CGL • 2024

    The points P and S are on the same side of the line segment QR, such that ∠ PQR = 90°, ∠ SRQ = 90°, and PQ = SR. Select the correct statement.

  14. SSC CHSL • 2025

    The distance between two parallel chords of lengths 16 cm and 12 cm in a circle of radius 10 cm is:

  15. SSC CGL • 2023

    A certain amount is lent at x% p.a. simple interest for 3 years. Instead, if the amount was lent at 3x% p.a. simple interest for 'y' more years, then the simple interest would have been seven times the earlier interest. What is the value of y?

  16. SSC MTS • 2022

    The following table shows the number of cars of 6 different brands on the roads during a given year. [Table] The cars of brand B2 are what percentage of the number of cars of all the 6 given brands taken together? [Give your answer correct to 2 decimal…

  17. SSC CHSL • 2020

    The average of the ages of a group of 65 men is 32 years. If 5 men join the group, the average of the ages of 70 men is 34 years. Then find the average of the ages of those 5 men joined later (in years).

  18. SSC CGL • 2025

    The average weight of 15 people is 70 kg. If one person leaves and the new average becomes 69 kg, what is the weight of the person who left?

  19. SSC CHSL • 2022

    In a 1500-m race, if A beats B by 100 m and B beats C by 150 m, then by what distance (in m) does A beat C?

  20. SSC Selection Post • 2024

    Simplify the following. (x – 3y)³ + 27(y³ – xy²)

  21. SSC CGL • 2024

    The following pie chart shows the study time of different subjects of a student in a day. Study the pie chart and answer the question. [Image] If the student studied English for 3 hours, then he studied Mathematics for:

  22. SSC CGL • 2022

    Two tourist buses start from the same point and move along two roads at right angles at speeds of 48 km/h and 36 km/h, respectively. the distance between the buses after 15 seconds is___

  23. SSC CHSL • 2024

    A mirror is placed on the ground facing upwards. A man sees the top of a tower in the mirror which is at a distance of 105 m from the mirror. The man is 0.5 m away from the mirror, and his height is 1.5 m. Find the height of the tower (in metres).

  24. SSC CHSL • 2025

    In a circle with center O, two parallel chords GH and IJ are on opposite sides of the center. The length of chord GH is 24 cm and the length of chord IJ is 10 cm. If the distance between the two chords is 17 cm, what is the diameter of the circle?

  25. SSC CGL • 2020

    When 1062, 1134 and 1182 are divided by the greatest number x, the remainder in each case is y. What is the value of (x - y)?

  26. SSC CGL • 2022

    The following bar graph shows the number of youth (in lakhs) and the number of employed youth (in lakhs) in five states A, B, C, D, and E What is the average number of youth in the five states? [Image]

  27. SSC CHSL • 2023

    The average age of 25 students in a class in 14 years. Five new students with an average age of 14.6 years join this class. what is the average age of 30 students in the class?

  28. SSC CGL • 2019

    [Image] is equal to:

  29. SSC Selection Post • 2022

    What value should come in the place of the question mark (?) in the following question: 652over900-552over900+452over900 = ?

  30. SSC CGL • 2022

    If (a + 1/a+3² ) = 16, where a is a non-zero real number, then find the value of a² + 1/(a²) .

  31. SSC CGL • 2022

    A sum becomes Rs.15,500 in 7 years on simple interest at the rate of 30 percent per annum. What is the total interest for the 7 years?

  32. SSC CHSL • 2023

    What is the average profit percentage earned by the company during the years 2016 to 2020?

  33. SSC CGL • 2020

    Amit and Sunil together can complete a work in 9 days, Sunil and Dinesh together can complete the same work in 12 days, and Amit and Dinesh together can complete the same work in 18 days. In how many days will they complete the work if Amit, Sunil and Dinesh…

  34. SSC CHSL • 2025

    A sum of money is invested at a compound interest rate of 8% p.a. for the first year and 10% p.a. for the second year. If the total interest earned is ₹1,872, what was the original principal?

  35. SSC CHSL • 2024

    If A = 9/16div25/36 , B = 9÷[(16div25)div36] , C = [9÷(16div25)]div36 , D = (9div16)÷(25div36) , then which of the following is true?

  36. SSC CHSL • 2020

    If SecA = √(11)/3, then the value of Cosec²A+Tan²A/Sin²A+Cot²A is:

  37. SSC CHSL • 2023

    A shopkeeper offers the following discount schemes for the purchase of his goods. Find the scheme which has the maximum discount. (1) Two successive discounts of 20% and 10% (ii) Discount of 10% (iii) Buy 8 and get 4 free (iv) Buy 9 and get 6 free

  38. SSC CGL • 2022

    What is te value of p, if 25(3 + 4p) ÷ 12 of 5 - 3 × 8 = 6?

  39. SSC CHSL • 2019

    O is the center of circle to which PAX and PBY are tangents from a point P at points A and B. Q is a point on the circle, such that ∠QAX = 49° and ∠QBY = 62°. What is the measure of ∠AQB?

  40. SSC CGL • 2025

    The price of a product is decreased by x% and then increased by x%. The final price becomes 10% less than the original. What is the value of x (approximately)?

  41. SSC CGL • 2023

    A cuboid with sides 4, 6 and 8 units is covered with paper. The paper is removed, and a square is made from it. What is the side (in units) of the square?

  42. SSC CGL • 2024

    In ∆PQR, S and T are the midpoints of the sides PQ and PR, respectively. The length of the side QR is 12 cm. If ST is parallel to QR, then find the length (in cm) of ST.

  43. SSC MTS • 2022

    The total surface area of a closed hemisphere is 4158. What is the diameter of the hemisphere? [Use π=22/7]

  44. SSC CGL • 2025

    A sum becomes 2.5 times of itself in 5 years under simple interest. In how many years will it become 5 times itself at the same rate?

  45. SSC CGL • 2025

    The average of 9 numbers is 56. When one number is removed, the average becomes. 54. What number was removed?

  46. SSC MTS • 2022

    While purchasing an item costing ₹600, Rashi had to pay sales tax at 5%. What amount did Rashi have to pay as sales tax?

  47. SSC CHSL • 2025

    Two circles, one with a radius of 13 cm and the other with a radius of 5 cm, have their centers 20 cm apart. A direct common tangent is drawn between the two circles. What is the length of this tangent?

  48. SSC CHSL • 2024

    If 2³ : 8^(5.06):: 8^(-4.06) : x, find the value of x.

  49. SSC CHSL • 2020

    Two concentric circles form a ring. The inner and outer circumferences of the ring are 22 cm and 44 cm, respectively. The width of the ring is: (take π = 22/7)

  50. SSC CGL • 2023

    A shopkeeper sells his goods by allowing 18% discount and still earns 30% profit. If he sells his goods by allowing 12% discount on the marked price, then what will be his profit percentage (correct to 2 decimal places)?