Quantitative Aptitude PYQ — Page 302

24,303 questions across SSC exams.

  1. SSC CGL • 2023

    The current ages of Sudhir and Ashish are in the ratio 5 : 7. Twelve years ago, the ratio of their ages was 1 : 2. What will be the age of Sudhir five years from now?

  2. SSC Selection Post • 2020

    A person rows a distance of 20 km upstream and 15 km downstream in a total time of 25/12 hours. If the speed of the current is 4 km/h, then in how many hours can he row a distance of 64 km upstream?

  3. SSC CHSL • 2019

    What is the area of a rhombus (in cm²) whose side is 13 cm and the smaller diagonal is 10 cm?

  4. SSC Selection Post • 2024

    If sin θ + cosec θ = sqrt5 , then the value of sin³ θ + cosec³ θ is:

  5. SSC Selection Post • 2022

    Anu drives her car for 1 hour at a speed of 60 km/h, for 2 hours at a speed of 55 km/h, and for 3 hours at a speed of 45 km/h. What is the speed of the car (in km/h)?

  6. SSC CHSL • 2024

    By selling an article at 66% of its marked price, a merchant makes a profit of 10%. If he sells the article at 80% of its marked price, then the profit percentage will be:

  7. SSC CGL • 2024

    Consider the given table for total imports of goods of 5 companies over 5 years (in lakhs), and answer the question that follows. [Table] If the total exports of all companies together in the year 2013 is Rs 300 lakh, then the profit/loss of all companies…

  8. SSC CGL • 2022

    A policeman sees a chain snatcher at a distance of 500 m. He starts chasing the chain snatcher who is running at a speed of 5 m/s, while the policeman is chasing him at a speed of 15 m/s. Find the distance covered by the chain snatcher, when he is caught by…

  9. SSC CGL • 2023

    100 ÷ 10 - [-2 + {-9 + (3 - 6 of 2)}] = ____

  10. SSC CHSL • 2021

    Study the given graph which shows the number of workers with their daily wages and answer the question that follows. [Image] What is the ratio of the total number of workers whose daily wages are Rs. 450 or above but less than Rs. 500 to the total number of…

  11. SSC CGL • 2025

    A book publisher offers a novel to a bookstore at a 25% discount on the cover price. However, they charge an additional 8% of the cover price for shipping. The bookstore sells the novel for ₹1,500 more, earning a 30% profit. What was thw original price of…

  12. SSC CGL • 2020

    Study the given graph and answer the question that follows. Break up for distribution (degree wise) of the employees working in five departments (A, B, C, D and E) in a company [Image] Total number of employees = 3000 If 20% of the employees working in…

  13. SSC CHSL • 2025

    If tanθ=1, find sinθ+cosθ.

  14. SSC CGL • 2024

    Let x = r cos (t), y = r sin (t) cos (u), z = r sin (t)sin (u). Then the value of x² + y² + z² is ___.

  15. SSC CGL • 2023

    Dharmendra can row 80 km upstream and 110 km downstream in 13 hours. Also, he can row 60 km upstream and 88 km downstream in 10 hours. What is the speed (in km/h) of the current?

  16. SSC CGL • 2023

    The length, breadth and height of a hall are 10 m, 20 m and 15m respectively. Find the cost of whitewashing the walls of the inside of the hall and ceiling at the rate of ₹10.20/m²

  17. SSC CHSL • 2025

    In a parallelogram, the diagonals are 26 cm and 10 cm and intersect at right angles. Find the side length and the area of the parallelogram.

  18. SSC CGL • 2022

    The following bar graph shows receipts and expenditures by a business firm over 5 years. Gain = Receipts - Expenditure. In which year did the company gain the maximum amount? [Image]

  19. SSC MTS • 2022

    The average mark scored by 8 boys is 72. If the scores of three girls are also included, the average marks increase by 3. The average marks scored by the three girls are:

  20. SSC GD • 2019

    A family consists of two grandparents, three parents and four grandchildren. The average age of the grandparents is 65 years, that of the parents is 32 years and that of the grand children is 8 years. What is the average age of the family?

  21. SSC CGL • 2021

    A train is to cover 370 km at a uniform speed. After running 100 km, the train could run at a speed of 5 km/h less than its normal speed due to some technical fault. The train got delayed by 36 minutes. What is the normal speed of the train, in km/h?

  22. SSC CHSL • 2019

    The total target production of AC Machines in February, April and May was what percentage less than the total actual production of AC Machines over all the five months (correct to one decimal place)?

  23. SSC CHSL • 2021

    In the given figure D, E, and F are the feet of the perpendiculars from the vertices A, B, and C, respectively, of a triangle ABC. If angle BED and angle BFE (in degrees) is 24° and 110°, respectively, what is the measure (in degrees) of angle EBF? [Image]

  24. SSC CHSL • 2023

    Which of the following statements is correct? I. The number of male teachers in school L is 135.44 percent of the number of female teachers in school P. II. The ratio of number of female teachers in M and N together to the number of male teachers in N and P…

  25. SSC CHSL • 2025

    What is the square root of 6561?

  26. SSC CHSL • 2021

    Solve for x: sin² x - 4 sin x + 3 = 0, 0 ≤ x ≤ (π)/2

  27. SSC Selection Post • 2022

    A certain sum invested at simple interest amounts to Rs.10,072 in 31 over 2 years and to Rs.11,552 in 6 years at the same rate per annum. The rate of interest p.a. is:

  28. SSC CGL • 2023

    Find the simple interest on Rs. 27,000 at 14 2/3% per annum for 8 months.

  29. SSC CGL • 2019

    The difference between the compound interest and simple interest on Rs.x at 7% per annum for 2 years is Rs. 24.50. What is the value of x?

  30. SSC CHSL • 2024

    Identify a single-digit number other than 1, which may exactly divide the number 17³ + 18³ - 16³ - 15³.

  31. SSC CHSL • 2023

    The sides of similar triangle △ ABC and △ DEF are in the ratio of (√(3))/(√(5)) of △ DEF (in cm²) is:: If the area of △ ABC is 90 cm², then the area

  32. SSC Selection Post • 2024

    The number 2918245 is divisible by which of the following numbers?

  33. SSC CPO • 2025

    If each interior angle of a regular polygon is 11 times its exterior angle, how many sides does the polygon have?

  34. SSC CGL • 2022

    The following bar graph shows receipts and expenditure by a business firm over 5 years. Gain = Receipts - Expenditure. In which year did the company gain the minimum amount? [Image]

  35. SSC CGL • 2020

    If 30x² - 15x + 1 = 0, then what is the value of 25x² + (36x²)⁻¹?

  36. SSC CHSL • 2025

    The ratio between the son and mother is 1:3. After five years, the ratio of their age becomes 3:7. What are the ages of the son and mother?

  37. SSC CHSL • 2025

    A drum contains 80 litres of a 90% pure acid solution. If 8 litres of this solution are removed and replaced with 8 litres of pure water, what is the new percentage of acid in the solution?

  38. SSC CHSL • 2019

    ABCDEFGH is a regular octagon inscribed in a circle with centre at O. The ratio of ∠OAB to ∠AOB is equal to:

  39. SSC CGL • 2021

    (cosec \ θ)/(cosec \ θ - 1)+(cosec \ θ)/(cosec \ θ + 1)-tan² \ θ , 0&ordm; < &Theta; < 90&ordm;, is equal to:

  40. SSC Selection Post • 2024

    Simplify the following equation. (8.25)³ - 3 × (8.25)² × 0.25 + 24.75 × (0.25)² - ( 0.25)³ over 4×4×4

  41. SSC CGL • 2024

    In ∆PQR, M, N, and S are the mid-points of sides PQ, PR, and QR, respectively. If the area of the ∆PQR is 46 cm², what is the area (in cm²) of the quadrilateral MNRQ?

  42. SSC CGL • 2022

    The profit earned by selling an article for Rs 832 is equal to the loss incurred when the article is sold for Rs 448. What will be the selling price of the article if it is sold at a 10% loss?

  43. SSC CHSL • 2023

    A table fan is marked at ₹1,700 and a discount of 15% is given. What is its selling price (in ₹)?

  44. SSC Selection Post • 2022

    If x + y + z = 4, xy + yz + zx = 1 and x³ + y³ + z³ = 34, then what is the value of 6xyz?

  45. SSC CGL • 2016

    A cylinder with having a diameter of 21 cm & a height of 38 cm is full of ice cream. The ice cream is to be filled in cones of height 12 cm and diameter 7 cm having a hemispherical shape on the top. The number of such cones to be filled with ice cream is

  46. SSC CHSL • 2023

    What is the value of (1/1÷ 1/2× 1/2+1/2× 1/2÷ 1/2)/(1/4× 1/4÷ 1/2+1/4÷ 1/4× 1/2-1/4÷ 1/2× 1/2) ?

  47. SSC CHSL • 2020

    Find the value of 2.1 + 2.25 ÷ [63 - {7.5 × 8 + (13 – 2.5 × 5)}] :

  48. SSC CGL • 2022

    If the length of the diagonal of a cube is 7 √3 cm, then the surface area of the cube is_____.

  49. SSC CHSL • 2024

    A quantity 4/5 is changed to 5/6 . How much percentage change is given to the quantity?

  50. SSC CGL • 2021

    Triangles ABC is right angled at B and D is a point of BC such that BD = 5 cm, AD = 13 cm, and AC = 37 cm, then find the length of DC in cm.