Quantitative Aptitude PYQ — Page 72

24,303 questions across SSC exams.

  1. SSC CGL • 2017

    A man bought 500 metres of electronic wire at 50 paise per metre. He sold 50% of it at a profit of 5%. At what percent should he sell the remainder so as to gain 10% on the whole transaction?

  2. SSC Selection Post • 2025

    The marked price of a mobile is ₹10,000. A customer is offered two successive discounts of 20% and 10%. What is the total discount received?

  3. SSC Selection Post • 2025

    An item is produced by one of three machines, A, B, or C. Machine A produces 50% of the items, B produces 30%, and C produces 20%. The defect rates are 1% for A, 2% for B, and 3% for C. If an item is chosen at random, what is the probability that it is…

  4. SSC Selection Post • 2025

    In a school, 60% of the students are boys. If the number of girls is 480, how many boys are there in the school?

  5. SSC Selection Post • 2025

    Find the amount after 2 years on ₹6,000 at 8% per annum when compounded half-yearly.

  6. SSC Selection Post • 2025

    If sin(90°-A) = 3/5, then what is the value of tan A?

  7. SSC CGL • 2022

    S and T are points on the sides PQ and PR, respectively of △PQR such that PS × PR = PQ × PT. If ∠Q = 96º and ∠PST = ∠PRQ + 34º, then ∠QPR = ?

  8. SSC Selection Post • 2025

    What is the slant height of a cone, base has a radius of 7 cm and a vertical height of 24 cm?

  9. SSC Selection Post • 2025

    If 20% of x = y, then y% of 20 is the same as:

  10. SSC Selection Post • 2025

    The number of digits in the square root of a perfect square containing 2n digits is:

  11. SSC Selection Post • 2025

    Determine the value of an expression (5/a + 5a)(25/a² – 25 + 25a²) if a = 3.

  12. SSC CGL • 2025

    A triangular prism has base side lengths 5 cm, 6 cm, and 7 cm and height 10 cm. What is its lateral surface area?

  13. SSC Selection Post • 2025

    A satellite dish is aligned such that it makes an angle x with the horizontal. It is known that cos x = -3/5 and x lies in the third quadrant. Given that precision is required for signal locking, what is the sine of half the angle of elevation (x/2)?

  14. SSC Selection Post • 2025

    A product priced at ₹800 is sold for ₹680. What is the percentage of discount offered?

  15. SSC CGL • 2019

    A sum of Rs 18000 is lent at 10% p.a. compound interest, compounded annually. What is the difference between the compound interest for 3rd year and 4th year?

  16. SSC GD • 2023

    A dealer allowed a discount of 20 percent on marked price of Rs. 72000 on an article and incurred a loss of 10 percent. What discount should he allow on the marked price, so that he gains Rs. 440 on the article?

  17. SSC CGL • 2025

    A circle of radius 12 cm. Two radii are drawn such that the length of the chord connecting their endpoints is 12 cm. What is the area of the minor segment formed?

  18. SSC CGL • 2019

    What is the compound interest on a sum of Rs.7200 for _([Image])years at 20% pa, interest compounded yearly (nearest to an integer) ?

  19. SSC CGL • 2018

    In the given figure, radius of a circle is 14√2 cm. PQRS is a square. EFGH, ABCD, WXYZ and LMNO are four identical squares. What is the total area (in cm²) of all the small squares ? [Image]

  20. SSC Selection Post • 2025

    A trader buys 80 pens for ₹2,400. He sells 60 of them at ₹40 each and the remaining at ₹25 each. What is his profit or loss percentage?

  21. SSC Selection Post • 2025

    A hot-air balloon directly above point A is rising vertically at 2 m/s. An observer at point B, 500 m due east of A, watches the balloon. At the moment when the angle of elevation is 30°, how long until it reaches an angle of elevation of 60°? (Assume no…

  22. SSC Selection Post • 2025

    A fan is marked at ₹3500. The shopkeeper gives a discount of 10% and still makes a profit of 20%. What is the cost price of the fan?

  23. SSC CGL • 2018

    A jar contains a blend of a fruit juice and water in the ratio 5 : x. When 1 litre of water is added to 4 litres of the blend the ratio of fruit juice to water becomes 1 : 1. What is the value of x?

  24. SSC CGL • 2022

    If 27x³ - 64 y³ = (Ax + By) (Cx² - Dy² + 12xy), then the value of 4A + B + 3C + 2D is:

  25. SSC Selection Post • 2025

    A trader marks his goods 60% above the cost price and allows a discount of 35%. Find the profit or loss percent.

  26. SSC CGL • 2019

    Let S be the set of all points (x, y) in the x-y plane such that | x | + | y | ≤ 2 and | x | ≥ 1. Then, the area, in square units, of the region represented by S equals

  27. SSC Selection Post • 2025

    A fair coin is flipped repeatedly. What is the expected number of flips until you get two consecutive Heads (HH)?

  28. SSC Selection Post • 2025

    Average score of a batsman in 10 innings is 32. How many runs must he score in the 11th innings to raise his average to 34?

  29. SSC Selection Post • 2025

    If n is a natural number, then n(n+1)(n+2)(n+3)+1 is always:

  30. SSC Selection Post • 2025

    A triangle has sides of length 7 cm, 8 cm, and 9 cm. Find its perimeter.

  31. SSC CGL • 2016

    In an isosceles triangle, the length of each equal side is twice the length of the third side. The ratio of areas of the isosceles triangle and an equilateral triangle with same perimeter is:

  32. SSC CGL • 2018

    In the given figure, PQRS is a rectangle and a semicircle with SR as diameter is drawn. A circle is drawn as shown in the figure. If QR = 7 cm, then what is the radius (in cm) of the small circle? [Image]

  33. SSC Selection Post • 2025

    An aircraft is flying at a steady altitude of 1000 meters. From a point on the ground, the angle of elevation of the airplane changes from 60° to 45° in 20 seconds as it flies directly away from the observer. What is the approximate speed of the airplane?

  34. SSC CGL • 2020

    A dealer sold an article at a loss of 2%. Had he sold it for Rs 44 more, he would have gained 20%. Find the cost price of the article.

  35. SSC CGL • 2016

    A shopkeeper sells rice at 10% profit and uses weight 30% less than the actual measure. His gain percent is

  36. SSC CGL • 2018

    If the number of students who were present in the Physics examination from school A is 250% of the difference of the number of the students who were present in Physics and Biology examination, from school K, then what is the ratio of the number of students…

  37. SSC CGL • 2022

    The income of A is 80% of B's income and the expenditure of A is 60% of B's expenditure. If the income of A is equal to 90% of B's expenditure, then by what percentage are the savings of A more than B's savings?

  38. SSC CGL • 2020

    Renu saves 20% of her income. If her expenditure increases by 20% and income increases by 29%, then her savings increase by:

  39. SSC Selection Post • 2025

    A tower stands vertically on the ground. From point P, which is located 40 meters from the ground at the base of the tower, the angle of elevation to the tower’s top is , where tan equals 1.5. From another point Q, situated 60 meters away from the foot of…

  40. SSC CGL • 2020

    A is 80% more than B and C is 48 4/7 % less than the sum of A and B. BY what percent is C less than A?

  41. SSC Selection Post • 2025

    The difference between the simple interest on ₹5,000 for 3 years and 4 years at the same rate of interest per annum is ₹500. Find the rate of interest.

  42. SSC Selection Post • 2025

    The square root of 7+4√3 is:

  43. SSC CGL • 2019

    The value of _([Image])is ?

  44. SSC Selection Post • 2025

    32 men can dig a canal in 12 days. 3 days after they started working, 10 more men joined them. In how many more days will the remaining work be completed?

  45. SSC CGL • 2022

    A sum of Rs. 50250 is divided into two parts such that the simple interest on the first part for 7 1/2 years at 8 1/3 % p.a. is 5/2 times the simple interest on the second part for 5 1/4 years at 8% p.a. What is the difference (in Rs.) between the two parts?

  46. SSC Selection Post • 2025

    A botanist was interested in the average height and standard deviation of a new plant variety. The following data are the heights for a sample of n=10 plants. The average height is 11.00 cm, rounded to two places. Find the sample standard deviation, rounded…

  47. SSC Selection Post • 2025

    Average of 11 numbers is 45. Average of first 5 is 42 and last 5 is 46. Find the 6th number.

  48. SSC Selection Post • 2025

    Trader marks an item 50% above cost price and offers a 20% discount on the marked price. If the customer pays ₹720, what is the cost price of the item?

  49. SSC Selection Post • 2025

    An article is sold at a 20% loss. If the selling price was ₹400 more, there would have been a 5% gain. What is the cost price of the article?

  50. SSC Selection Post • 2025

    If sec A= cosec B and both A and B are acute angles, then the value of A+B is: