Quantitative Aptitude PYQ — Page 361

24,303 questions across SSC exams.

  1. SSC CGL • 2020

    A man sold two gifts at Rs.30 each. On one gift he gained 18%, and on the other gift he lost 18%. What is his overall gain/loss (in Rs)?

  2. SSC CHSL • 2024

    Raju and Ramu have more land than Sonu by 15% and 25%, respectively. What is the ratio of land owned by Raju and Ramu?

  3. SSC CGL • 2024

    If P is a digit such that 6954P is divisible by 11, then P equals:

  4. SSC CHSL • 2021

    A person sold an article at a loss of 12%. Had he sold it at a gain of 10.5%, he would have got Rs. 112.50 more. What is the original selling price (in Rs.) of the article?

  5. SSC CHSL • 2023

    Pawan purchases 70 articles for ₹16,875 and sells them at a loss equal to the selling price of 5 articles. What will be the selling price of one article?

  6. SSC CHSL • 2025

    How many common tangents do two circles have when the distance between their centers equals the sum of their radii?

  7. SSC CGL • 2020

    The marked price of an item is 25% above its cost price. A shopkeeper sells it, allowing a discount of x % on the marked price. If he incurs a loss of 8%, then the value of x is

  8. SSC CHSL • 2024

    By selling 60 pens, a man gains an amount equal to the selling price of 12 pens. What is his gain percentage?

  9. SSC CHSL • 2020

    What will come at place of x, (x

  10. SSC CHSL • 2023

    Subhas, a 3.15 m tall tree, and an 11.25 m tall building are positioned such that their feet on the ground are collinear and the tree is located between Subhas and the building. The tree is located at a distance of 7.5 m from Subhas and at a distance of 45 m…

  11. SSC CHSL • 2023

    A direct common tangent is drawn to two circles of radius 25cm and 20 cm. The centers of the two circles are 35 cm apart. What is the length (in cm) of the tangent?

  12. SSC CGL • 2019

    If a – b = 5 and ab = 2, then a³– b³is equal to:

  13. SSC CHSL • 2024

    A box filled with gift articles weighs 25 kg. If the weight of the box and the gift articles, respectively, are in the ratio 1 : 9, then the weight of the articles (in grams) is:

  14. SSC CGL • 2021

    If 9(a² + b² ) + c² + 20 = 12(a + 2b), then the value of √(6a+9b+2c) is:

  15. SSC CGL • 2020

    In Δ ABC, AB = AC and AL is perpendicular to BC at L. In Δ DEF, DE = DF and DM is perpendicular to EF at M. If (area of Δ ABC) : (area of Δ DEF) = 16 : 25, then (DM + AL)/(DM - AL) is equal to:

  16. SSC CGL • 2022

    Study the given table and answer the question that follows. The tables shows the percentage of marks obtained by 7 students in different subjects. [Image] How many students have scored the highest percentage of marks in more than one subject?

  17. SSC GD • 2021

    X takes twice as much time as Y and thrice as much time as Z to finish a job. Working all together, they can finish it in 2 days. Y alone can finish the job in:

  18. SSC CHSL • 2022

    The largest six-digit number exactly divisible by 81 is:

  19. SSC CGL • 2025

    A rectangular fish tank with a base of 100 cm × 50 cm contains water up to a height of 20 cm. If 5 identical spherical stones, each with a radius of 5 cm, are dropped into the tank and fully submerged, what is the rise in the water level?

  20. SSC CGL • 2024

    If at least 40% marks in Mathematics are required for pursuing higher studies in Mathematics, how many students will be eligible to pursue higher studies in Mathematics?

  21. SSC CHSL • 2023

    The ratio of the father's age to his son's age is 5: 3. The product of the numbers representing their ages is 960. The ratio of their ages after 6 years will be:

  22. SSC Selection Post • 2024

    A single discount equivalent to three successive discounts of 10%, 12% and 15% is:

  23. SSC CHSL • 2023

    Study the table given below and answer the following question. The table below shows the total number of students studying different subjects in a college and the percentage of boys and girls. [Table] What is the total number of students in all the subjects?

  24. SSC Selection Post • 2019

    Which of the following is greater than 3/4 and lesser than 3/2 ?

  25. SSC CGL • 2023

    15 men complete a work in 10 days. 15 women complete the same work in 12 days. If all these men and women work together, then the number of days required to complete that work is:

  26. SSC GD • 2019

    If Rohit can cover a distance of 1188 km in 22 hours, then what is the speed of Rohit?

  27. SSC Selection Post • 2022

    The ratio of the two numbers is 5 : 8 and their LCM is 840. What are the two numbers?

  28. SSC CGL • 2022

    A sum of Rs 4620 is to be paid back in 2 equal annual instalments. How much is each instalment(in Rs) if the interest is compounded annually at 10% per annum?

  29. SSC CGL • 2024

    Which of the following numbers is NOT divisible by 8?

  30. SSC CHSL • 2024

    Two similar triangles have areas 490 cm² and 640 cm². If the length of one side of the first triangle is 21 cm, then what is the length of the corresponding side of the second triangle?

  31. SSC CGL • 2021

    What is the volume (in cm³) of a spherical shell whose inner and outer radii are respectively 2 cm and 3 cm?

  32. SSC CGL • 2019

    If sin θ = cos(50° + θ), then θ is equal to:

  33. SSC CHSL • 2023

    A shopkeeper publishes a list of prices which are 60% above the CP. He proposes to give 20% discount. How much profit does he really make?

  34. SSC CGL • 2022

    If a²+ b²+ 49c²+18 = 2(b + 28c - a), then the value of (2a - b + 7c) is:

  35. SSC CGL • 2023

    A person borrowed some money on simple interest. After 4 years, he returned (9/5) of the money to the lender. What was the rate of interest?

  36. SSC CGL • 2024

    If the simple interest on ₹7,200 in 3 years at the rate of 16% per annum equals the simple interest on ₹9,600 at the rate of x% per annum in 4 years. The value of x is equal to:

  37. SSC CGL • 2022

    A boat can cover a distance of 56 km downstream in 3.5 hours. The ratio of the boat in still water and the speed of stream is 3 : 1. How much time (in hours) will the boat take to cover a distance of 41.6 km downstream?

  38. SSC Selection Post • 2022

    A can do a work in 8 days and B can do the same work in 12 days. If they work on it for 3 days, then what fraction of the work is left?

  39. SSC Selection Post • 2023

    Find the fourth proportional of (x⁴ - y⁴), (x + y) and (x - y), provided x ≠ y.

  40. SSC CGL • 2021

    What is the constant term in the expansion of (5x² - 1/x)³?

  41. SSC CHSL • 2023

    In an isosceles triangle, if the unequal side is 8 cm and equal side is 5 cm. then the area of the triangle is:

  42. SSC CHSL • 2025

    Simplify. (5 + 2√6)(5 - 2√6)

  43. SSC CHSL • 2020

    If [Image] , then the value √(2 – 42x) is:

  44. SSC CHSL • 2025

    A policeman started following a thief who was 1,200 metres ahead of him. The thief is running at 2.5 km/h, while the speed of the policeman is 3.75 km/h. Find the distance covered by the thief (in metres) just when he was caught.

  45. SSC CGL • 2021

    If x/y+y/x=2 , (x, y ≠ 0) then the value of (x - y)?

  46. SSC Selection Post • 2022

    For the past five months, a merchant has made sales of Rs. 6,435, Rs. 6,927, Rs. 6,855, Rs. 7,230, and Rs. 6,562. What amount of sales does he need in the sixth month to achieve an average sale of Rs. 6,500?

  47. SSC Selection Post • 2024

    Sandeep spends 32% of his annual income on food, 20% of the remaining income on travelling, and 35% of the remaining income on clothes, and still saves ₹70,720 per year. What is the annual income (in ₹) of Sandeep?

  48. SSC CHSL • 2019

    What is the ratio of students taken for all years together from School B to that from school A?

  49. SSC CHSL • 2025

    In a mixture of 35 litres, the ratio of milk to water is 2 : 3. If this ratio is to be 1 : 3, then what quantity of water needs to be added?

  50. SSC Selection Post • 2024

    A man can row 9 km/h in still water. If the river is running at 4 km/h, it takes 8 hours more in upstream than to go downstream for the same distance. How far is the place?