Quantitative Aptitude PYQ — Page 171

24,303 questions across SSC exams.

  1. SSC GD • 2025

    Amit bought a piano and sold it to Gopal at a profit of 5%. Gopal sold it to Akshay at a loss of 25%. If Akshay paid ₹1890, then the cost price (in ₹) of the piano Amit bought is :

  2. SSC CGL • 2025

    If sin A = 4/5 and A is acute, find cot(90 ^° - A).

  3. SSC CHSL • 2023

    Study the given table and answer the question that follows. The table shows the total score scored by 8 batsmen in the year 2022. [Table] Who is the second-highest scorer in the year 2022?

  4. SSC CHSL • 2025

    Two tangents are drawn from a point P outside a circle of radius 5 cm. The angle between the tangents is 90°, and the distance from P to the center of the circle is R cm. Find the value of R.

  5. SSC CGL • 2020

    In the figure, Two circles with centres P and Q touch externally at R. Tangents AT and BT meet the common tangent TR at T. if AP = 6 cm and PT = 10 cm, then BT =? [Image]

  6. SSC CGL • 2024

    A merchant mixes two varieties of sugar of 5 kg and 3 kg, which costs him ₹4 and ₹6 per kg, respectively. What is the cost price (in ₹) of the mixture per kg?

  7. SSC GD • 2024

    Both A and B sell their watch at the rate of Rs. 5000 per watch. A earned a profit of 25 percent while B incurred a loss of 10 percent. What is the ratio of cost prices of A and B?

  8. SSC CHSL • 2024

    In a circle, ABCD is a cyclic quadrilateral in which AE is drawn parallel to CD, and BA is produced to F. If ∠ABC = 85° and ∠FAE = 24°, find the value of ∠BCD.

  9. SSC GD • 2025

    The product of two numbers is 148,176 and their LCM is 3,528. What is their HCF?

  10. SSC Selection Post • 2023

    In a company, the total customer calls on Monday, Wednesday and Friday are 15,500 and the total calls on Tuesday and Thursday are 12,500. The average calls on Saturday and Sunday are 7,000. What are the average calls per day in a week?

  11. SSC CGL • 2025

    Simplify: √(45) + √(20) - √(5)

  12. SSC Selection Post • 2024

    The area of a sector of a circle is 88 cm² and the angle of sector is 36°. Find the radius (in cm)of the circle [Use π =22/7 ]

  13. SSC GD • 2024

    A principal of Rs. 20000 is borrowed at compound interest (compounding annually) at the rate of 9 percent per annum. What will be the amount after 2 years?

  14. SSC Selection Post • 2024

    The height of a solid cylinder is 4 times its radius. Its curved surface area is __ times its base area.

  15. SSC CGL • 2023

    20 women and 15 men together can complete a work in 6 days. It takes 150 days for a single woman to complete the work. In how many days can a single man complete the work?

  16. SSC CGL • 2025

    Two triangles, ΔPQR and ΔSTU, have PQ = ST, PR = SU, and ∠QPR = ∠TSU. By what rule are they congruent?

  17. SSC CHSL • 2019

    If r³ = [(Sinθ - Cosecθ)(Cosθ - Secθ)]/[tan²θ - Sin²θ], then r = ?

  18. SSC CHSL • 2022

    Study the graph and answer the following question . [Image] As per data available in the table above. what was the aproximate percentage increase the percentage of the population affected by cold in 2020 when compared to the percentage of the population…

  19. SSC CGL • 2024

    If (77⁷⁷+77) is divided by 78, then the remainder will be:

  20. SSC CHSL • 2019

    A number is decreased by 30%, then increased by 30%, then further increased by 30%. What is the net increase/decrease percent in the number (correct to the nearest integer)?

  21. SSC CHSL • 2025

    If 60% of a number is 48, what is the number?

  22. SSC CHSL • 2025

    Rational number + Irrational number = ?

  23. SSC CHSL • 2024

    A part of the journey is covered in 22.5 minutes at a speed of 68 km/h and the remaining part in 12 minutes at a speed of 72 km/h. The total distance of the journey is (to the nearest integer):

  24. SSC Selection Post • 2020

    Two persons A and B can complete a task in 10 days and 15 days, respectively. They work together and A leaves 5 days before the task is completed. After that. B alone completes the remaining task. The number of days taken to complete the whole task is:

  25. SSC CHSL • 2022

    If x + y = 14, then the value of x³ + y³ + 42xy is:

  26. SSC CHSL • 2021

    If the number 34k56k is divisible by 6, then what will be the largest value of k?

  27. SSC CHSL • 2025

    A sum becomes 4 times its original value in 6 years under compound interest. In how many years will it become 16 times of the original amount?

  28. SSC GD • 2024

    If p : q = 6 : 5, then what is the value of ( 6p + 5q ) : ( 6p - 5q )?

  29. SSC GD • 2023

    A, B, and C can complete a work in 9 days and B can do the same work in 18 days. If B takes 33.33% less time than C, find the time taken by C to complete the work.

  30. SSC CGL • 2017

    The radius of a wire is decreased to one-third. If volume remains the same, length will increase by:

  31. SSC GD • 2019

    If a : b = 4 : 5, then what will be the ratio of (a/b) : (b/a) ?

  32. SSC CHSL • 2025

    What is the square root of 0.0009?

  33. SSC CGL • 2025

    Two circular ponds have circumferences in the ratio 4 : 7. If the smaller pond has an area of 200 m², what is the approximate area of the larger pond?

  34. SSC CGL • 2023

    Find the smallest number that can be subtracted from 148109326 so that it becomes divisible by 8.

  35. SSC CGL • 2025

    Two circles of radii 6 cm and 2 cm are such that the distance between their centers is 8 cm. How many common tangents can be drawn?

  36. SSC Selection Post • 2020

    Two-thirds of a certain number of items are sold at 35% profit, 25% of items are sold at 30% los,s and the remaining at 5% loss. What is the overall profit or loss percentage?

  37. SSC Selection Post • 2020

    The circumcentre of a ΔABC is O. If ∠ BAC = 70° and ∠ BCA = 80°, then the measure of ∠ OAC is equal to:

  38. SSC CHSL • 2024

    If θ is an acute angle and cot θ + tan θ = 2, then find the value of tan¹² θ + cot¹² θ + 2 tan⁵ θ cot⁷ θ.

  39. SSC GD • 2021

    Ravi gains 12.5% by selling an article for Rs. 157.50. If he sells it for Rs. 147, then what is his loss/gain percentage?

  40. SSC CGL • 2025

    Given, x + 1/x = 5 , then determine the value of 2x/(x² - 1) :

  41. SSC GD • 2025

    What will be the difference between the sale price (in ₹) of a book with a marked price ₹1,500 under the following discount schemes? (i) Two successive discounts of 20% each (ii) Two successive discounts of 30% and 10%

  42. SSC CHSL • 2023

    If A = 30°, then find the value of ((2 tan A))/((1 - tan² A)) .

  43. SSC GD • 2023

    Three solid cubes of sides 8 cm, 1 cm, and 6 cm, respectively, are melted to form a new cube. Find the longest diagonal of the new cube.

  44. SSC CHSL • 2024

    There are two circles touching each other externally. The radius of the first circle with centre O is 12 cm. The radius of the second circle with centre A is 5 cm. Find the length of their common tangent touching the two circles at points P and Q.

  45. SSC Selection Post • 2022

    Suppose the cost of a car increases by 10% and then decreases by 20%. Due to some reason again the cost increases by 15%. The resulting cost percentage increase or decrease is:

  46. SSC CGL • 2021

    The following pie charts represent the distribution of candidates who were enrolled for a competitive examination, and the candidates (out of those enrolled) who passed the exam from five different institutes P, Q, R, S and T. [Image] What is the ratio of…

  47. SSC CHSL • 2023

    The diameter of a sphere is 14 cm, then the volume of this sphere is (use π = 22/7):

  48. SSC CHSL • 2024

    If the selling price of 40 articles is equal to the cost price of 50 articles, then the percentage gain is:

  49. SSC GD • 2021

    If a sum of ₹6225 is divided into three parts such date 4 times the first part is equal to 5 times the second part and 7 times the third part.The difference between the first and second part (in ₹) is:

  50. SSC CHSL • 2022

    There are two types of milk. The price of one type of milk is Rs. 70/litre and the price of other type of milk is Rs. 50/litre. If the two types of milk are mixed, the price of new mixture will be Rs. 55/litre. Find the ratio of the two types of milk in this…