Quantitative Aptitude PYQ — Page 365

24,303 questions across SSC exams.

  1. SSC CGL • 2023

    The volume of a cuboid is twice that of a cube. If the dimensions of the cuboid are (8 m x 8 m x16 m), the total surface area of the cube is:

  2. SSC CHSL • 2020

    Study the following graph and answer the question based on the graph. [Image] On which day the production was 1/5^(th) of the total production?

  3. SSC Selection Post • 2023

    The perimeter of an isosceles right-angled triangle having an area of 200 cm² is:

  4. SSC CHSL • 2025

    The coordinates of the vertices of a triangle are A(0,0), B(8,0), and C(0,6). What is the location of the orthocenter?

  5. SSC CGL • 2020

    In a school, the distribution of teachers is as follows: [Table] The total number of teachers of age less than 40 years is:

  6. SSC Selection Post • 2023

    There was a mock test conducted in a class. The following are the scores of the students who gave all the tests. What is the average score of the subject that has the highest average score for all the students? [Image]

  7. SSC CHSL • 2025

    A person travels from city A to city B. They cover 1/4 of the journey by car, 1/2 of the remaining journey by bus, and the rest 15 km by bike. What is the total distance between city A and city B?

  8. SSC CGL • 2023

    A can do a piece of work in 8 days, while B can do it in 18 days. In how many days will the work be completed if they both work on alternate days starting with B?

  9. SSC CHSL • 2022

    If cosec θ + cot θ = 5, then cosec θ is equal to _____.

  10. SSC CHSL • 2024

    Study the given bar-graph and answer the question that follows. The bar-graph shows the production of refrigerators (in thousand) by five different companies A, B, C, D and E during 2004 to 2007. [Image] What is the difference between 60% of the average…

  11. SSC GD • 2021

    One year ago, the ratio of the ages of A and B was 4 : 3. The ratio of their ages, after 7 years from now, will be 9 : 7. What is the present age (in years) of B?

  12. SSC CGL • 2023

    Simplify (256x⁴ - 16y⁴)/((80x² - 20y²)(16x² + 4y²)) .

  13. SSC CHSL • 2024

    By selling an article for ₹2,160, Prashant allows a 20% discount and earns 28% profit. If the article is sold without any discount, the profit will be:

  14. SSC CGL • 2023

    Having started from the same point and at the same time, two runners – P and Q – are running around a circular track of length 500 m in opposite directions with the speeds of 6 m/s and 10 m/s, respectively. If they exchange their speeds after meeting for the…

  15. SSC Selection Post • 2024

    The volume of a right circular cylinder of base radius r is obtained by multiplying its curved surface area by:

  16. SSC MTS • 2022

    A sum of money, when invested at the rate of 6.25% simple interest per annum, amounts to 11/8 times of itself in 'n' years. What is the value of 'n'?

  17. SSC CGL • 2025

    Ravi started a business with a sum of ₹50,000. Sohan joined him 6 months later with a sum of ₹30,000. At what respective ratio will the two share the profit after 2 years?

  18. SSC CGL • 2022

    If θ is an acute angle and tanθ + cotθ = 2, then the value of tan²θ + cot²θ + 2 tan⁵θcot⁴θ is:

  19. SSC CGL • 2022

    The following pie - chart show the number of the numberof students studying in different department of an institute during the academic year 2019 and 2020. The Total number of students was 2000 and 2400 in academic years 2019 and 2020, respectively. What is…

  20. SSC CHSL • 2023

    What is the value of ((1+sec²A)/(1+cos²A) ) ((1+sin²A)/(1+cosec²A) ) ?

  21. SSC CGL • 2022

    A pen was sold for Rs.166.44 with a profit of 14%. If it were sold for Rs.154.76, then what would have been the percentage of profit or loss?

  22. SSC CGL • 2022

    Which of the following statement is correct? The value of 100²- 99² + 98² - 97²+ 96²- 95²+ 94²- 93²..........+ 2²- 1² is 5050 If 8X + 8/X = -16 and X

  23. SSC CHSL • 2025

    Simplify: (√45 + √20) / √5

  24. SSC CGL • 2024

    △ ABC is a right-angled triangle with ∠ ABC = 90^° . If m(AB̅) = 28 cm, and m(BC̅) = 96 cm, find the area (in cm²) of the circumcircle of △ ABC . (Use π = 3.14. )

  25. SSC CGL • 2021

    If x - y = 4 and x³ - y³ = 316, y > 0 then the value of x⁴ - y⁴ is:

  26. SSC GD • 2019

    What is the mode of the given data? 3, 0, 1, 0, 2, 1, 2, 0, 1, 2, 1, 1, 1, 3, 2

  27. SSC CHSL • 2022

    From the following numbers, find the number which exactly divisible by 42.

  28. SSC Selection Post • 2024

    If A : B = 8 : 13, B : C = 5 : 8 and C : D = 4 : 5, then A : B : C : D is equal to:

  29. SSC MTS • 2019

    What is the value of ((0.7)² div0.14+(0.6)²div0.18+(0.5)²div0.05)/(4(2.5\ of\ 4 - 13times0.25× 3)) ?

  30. SSC Selection Post • 2024

    In ∆ABC and ∆PQR, AB = 7 m, BC = 8 m, AC = 9 m, PQ = 7 m, QR = 8 m and PR = 9 m. Which of the following is true for these triangles?

  31. SSC CGL • 2022

    The value of ((1-cotθ)/(1-tanθ))² +1, if 0° < θ < 90°, is equal to:

  32. SSC CGL • 2024

    Two triangles EFG and HIJ are congruent. If the area of ΔEFG is 124 cm², then the area of ΔHIJ will be:

  33. SSC Selection Post • 2020

    The average of 31 numbers is 59. The average of the first 11 numbers is 53.9 and that of the last 21 numbers is 62.1. If the 11th number is excluded, then what is the average of the remaining numbers?

  34. SSC CGL • 2024

    A number r when divided by 8 leaves remainder 3. What will be the remainder when (r² + 6r + 7) is divided by 8?

  35. SSC GD • 2021

    Two-thirds of half of the three-eighths of a number is 40. What is 80% of that number?

  36. SSC CGL • 2021

    △ABC ~ △PQR. The areas of △ABC and △PQR are 64 cm² and 81 cm², respectively and AD and PT are the medians of △ABC and △PQR, respectively. If PT = 10.8 cm, then AD = ?

  37. SSC CHSL • 2022

    If, in a family, consumption of sugar is 6 kg for 24 days, then what is the consumption of sugar for 18 days?

  38. SSC Selection Post • 2020

    If a nine-digit number 43x1145y2 is divisible by 88, then the value of (2x-y), for the largest value of y, is:

  39. SSC CGL • 2022

    What is the value of cos(-17πover3)

  40. SSC CGL • 2024

    If 10sin²θ + 6cos²θ = 7, 0<θ<90° , the find the value of tanθ.

  41. SSC CGL • 2025

    What is the average of all three-digit numbers divisible by 22?

  42. SSC Selection Post • 2022

    The compound interest on ₹50,000 at the rate of 7% per annum compounded annually, for a certain period of time, is ₹7,245. Find the time period(in years).

  43. SSC CHSL • 2023

    A shopkeeper gives an additional concession of 5% on an item which is already discounted by 15% on the marked price. If the buyer pays ₹3,068.5 for the item, then find the marked price.

  44. SSC Selection Post • 2024

    In a college election between two rivals, a candidate got 30% of the total votes polled. He was defeated by his rival by 200 votes. The total number of votes polled was:

  45. SSC Selection Post • 2022

    In an isosceles triangle ABC, AB = AC, and AD is perpendicular to BC. If AD = 5 cm and the perimeter of △ABC is 50 cm, then twice the length of BC (in cm) is:

  46. SSC Selection Post • 2024

    A dealer sells an article at a discount of 5% on the marked price. If the marked price is 20% above the cost price and the article was sold for ₹2,280, then the cost price would be:

  47. SSC CHSL • 2021

    P, Q and R are three points on the circumference of a circle such that QR is a diameter and PQ = PR. If the radius of the circle is 7 cm, then the length of PQ is:

  48. SSC Selection Post • 2024

    Simplify the expression: 15 × 15 × 15 + 3 × 15 × 12 × 12 - 3 × 15 × 15 × 12 - 12 × 12 × 12

  49. SSC MTS • 2022

    140 liters of a solution is formed by mixing two solutions A and B. The concentrations of milk in A and B are 40% and 7 5%, respectively. If the resultant solution has a milk concentration of 52%, then what is the quantity of A that is there in the resultant…

  50. SSC CPO • 2025

    A right prism has a hexagonal base with an area of 80 cm² and a height of 12 cm. Find the lateral surface area.