Quantitative Aptitude PYQ — Page 63

24,303 questions across SSC exams.

  1. SSC CGL • 2026

    If a chord of a circle subtends an angle of 60° at the circumference of the circle, then what is the ratio of the radius of the circle and the length of the chord respectively?

  2. SSC Selection Post • 2025

    A milkman mixes water in pure blends milk and offers the mixture for sale at the original cost price of milk. If he mixes 0.75 liters of water in every 5.25 liters of milk and sells the entire mixture at the price of pure milk, what is his profit percentage?

  3. SSC Selection Post • 2025

    The average age of a group of 24 students is 15 years. If a student aged 9 years leaves the group, what will be the new average age?

  4. SSC CGL • 2019

    A person buys 80 kg of rice and sells it at a profit of as much money he paid for 30 kg. His profit % is?

  5. SSC Selection Post • 2025

    A runner completes 5(1/3) laps of a 400-meter track. Each lap takes 1.6 minutes. How many kilometres does the runner cover, and what is the total time taken?

  6. SSC CGL • 2016

    If a = 299, b = 298, c = 297 then the value of 2a³ + 2b³ + 2c³ - 6abc is:

  7. SSC Selection Post • 2025

    What type of number is the sum of √2 and (3 − √2)?

  8. SSC Selection Post • 2025

    If ₹1,200 earns ₹216 as interest in 3 years, what is the rate of interest?

  9. SSC Selection Post • 2025

    P and Q invest ₹1,00,000 and ₹50,000, respectively. After one year, the total profit, which includes a 10% interest, amounts to ₹20,000. Determine Q's share of the profit.

  10. SSC Selection Post • 2025

    A, B, and C invest ₹40,000, ₹60,000, and ₹80,000, respectively. A invests for 12 months, B for 10 months, and C for 6 months. The total profit is ₹60,000. What is A's share of the profit?

  11. SSC CGL • 2020

    If = [Image] , then the value of [Image] is :

  12. SSC Selection Post • 2025

    A baker has 12.5 kg of flour. She uses 3.75 kg for cakes and 4(2/3)kg for bread. How much flour is left?

  13. SSC CGL • 2019

    In ΔABC, ∠A = 52° and O is the orthocenter of the triangle (BO and CO meet AC and AB at E and F respectively when produced). If the bisectors of ∠OBC and ∠OCB meet at P, then the measure of ∠BPC is ?

  14. SSC Selection Post • 2025

    The marked price of an article is ₹750. A shopkeeper allows a discount of 12% and still gains 10%. If no discount were allowed, what would have been his gain percentage?

  15. SSC CHSL • 2024

    The compound interest of ₹6,000 in two years, if the rate of interest is 2.5% per annum for the first year and 2% per annum for the second year, will be:

  16. SSC Selection Post • 2025

    A rope is 15(3/4) meters long. It is cut into pieces each of 1.25 meters. How many full pieces can be cut, and how much rope will remain?

  17. SSC CGL • 2018

    A rectangular sheet of length 42 cm and breadth 14 cm is cut from a circular sheet. What is the minimum area (in cm²) of circular sheet?

  18. SSC CGL • 2023

    The value of 0.7 times0.7 times0.7+0.3 times0.3 times0.3over0.7 times0.7 -0.7times0.3 +0.3 times0.3 is ___

  19. SSC CGL • 2018

    If a watch is being sold at Rs 7,225 which is marked at Rs 8,500, then what is the discount (in %) at which the watch is being sold?

  20. SSC CGL • 2020

    The total production of computers in 2013, 2015 and 2018 is x% of the total exports of computers by the company during the six years. The value of x is :

  21. SSC CGL • 2022

    The income of A is 2/3 of B's income and the expenditure of A is 3/4 of B's expenditure. If 1/3 of the income of B is equal to the expenditure of A, then the ratio of the savings of A to those of B is:

  22. SSC CGL • 2016

    The batting average for 40 innings of a cricket player is 50 runs. His highest score exceeds his lowest score by 172 runs, If these two innings are excluded, the average of the remaining 38 innings is 48 runs. The highest score of the player is

  23. SSC Selection Post • 2025

    What is the decimal form of 7/8?

  24. SSC Selection Post • 2025

    A cylinder is melted and recast into 8 smaller cylinders of the same height. If the original radius was 6 cm and height 10 cm, find the radius of each small one?

  25. SSC CGL • 2020

    If cosθ = 5/13 , then the value of tan² θ + sec² θ is equal to:

  26. SSC CGL • 2019

    A solid metallic sphere of radius 8cm is melted and drawn into a wire of uniform cross-section. If the length of the wire is 24m, then its radius (in mm) is ?

  27. SSC CHSL • 2023

    A pole stands vertically on the ground with the help of a 12-metre steel wire tied to its top and affixed on the ground. If the steel wire makes an angle of 30° with the horizontal ground, then the height of the pole is equal to:

  28. SSC Selection Post • 2025

    Within a circle, two parallel chords are positioned such that the center lies between them if the distance between these chords is 14 cm, and the length of one chord is 12 cm having radius of 10 cm, what is the length of the other chord?

  29. SSC Selection Post • 2025

    P and Q invest ₹1,20,000 and ₹90,000 respectively in a business. After 4 months, P increases his capital by 50%. If the total profit after 1 year is ₹99,000, what is Q's share?

  30. SSC CHSL • 2023

    The HCF of two numbers is one-twentieth of their LCM. If one of the numbers is 96 and the difference of the LCM and the HCF is 456, then what is the other number?

  31. SSC Selection Post • 2025

    A fruit seller sells 2(1/2) kg of mangoes at ₹120/kg and 1.75 kg of apples at ₹150/kg. What is the total cost of the fruits?

  32. SSC CGL • 2025

    (a⁷× b⁸× c⁷)/(a⁹× b⁵× c⁴) in simplified form is:

  33. SSC CGL • 2018

    In the given figure, ABC is a right angled triangle. ∠ABC = 90° and ∠ACB = 60°. If the radius of the smaller circle is 2 cm, then what is the radius (in cm) of the larger circle ? [Image]

  34. SSC Selection Post • 2025

    The average age of a group of 8 people increases by 2 years when a person aged 14 is replaced by a new person. Find the age of the new person.

  35. SSC CGL • 2023

    If 80 litres of milk solution has 60% milk in it, then how much milk should be added to make milk 80% in the solution?

  36. SSC CGL • 2023

    The simple interest earned on ₹2,800 at a rate of 10% per annum for 3 years is ₹x and ₹1,736 is the simple interest earned on ₹6,200 at a rate of 14% for y years, then the value of x/y is:

  37. SSC Selection Post • 2025

    Find the value of: (1/(5 - √6)) + (1/(5 + √6)) – (10 / (25 - 6))

  38. SSC Selection Post • 2025

    If we consider the set of rational numbers and the set of irrational numbers, what elements are present in both sets?

  39. SSC Selection Post • 2025

    What does each point on a number line represent?

  40. SSC Selection Post • 2025

    The average age of a group of 8 people increases by 2 years when a person aged 14 is replaced by a new person. Find the age of the new person.

  41. SSC CHSL • 2024

    Find the value of (sin⁶A + cos⁶A + 3sin²Acos²A) - (sin⁴A - cos⁴A + 1)cosec²A.

  42. SSC CGL • 2025

    If the angle subtended by arc AB at the center is 140 ^° , what is the reflex angle made by this arc at the center?

  43. SSC CGL • 2025

    (a⁵× b³× c⁷)/(a⁴× b⁸× c⁹) in simplified form is:

  44. SSC CGL • 2018

    In the given figure, MNOP is a square of side 6 cm. What is the value (in cm) of radius of circle? [Image]

  45. SSC Selection Post • 2025

    A student claims that the sum of two irrational numbers is always irrational. Which of the following pair of numbers disproves this claim?

  46. SSC Selection Post • 2025

    A tank holds 27.5 liters of water. If a leak causes 3/8 of the water to drain out, how much water remains in the tank (in liters)?

  47. SSC CGL • 2017

    A librarian purchased 60 story books for his library. But he found that he could get 4 extra books by spending Rs 336 more and then the overall average price per book would be reduced by Re 1. The previous average price of each book was?

  48. SSC Selection Post • 2025

    Find the value of (√625 − √81) × (√49 + √121).

  49. SSC Selection Post • 2025

    Which of the following statements is always true for angles subtended by a chord?

  50. SSC CGL • 2023

    Two numbers are, respectively, 10% and 25% more than the third number. The ratio of the two numbers is: