Quantitative Aptitude PYQ — Page 253

24,303 questions across SSC exams.

  1. SSC GD • 2023

    In a village, the population increased from 12,500 to 15,000 in a year. What is the percentage increase in population in a year?

  2. SSC CGL • 2019

    If x + y + z = 19, x² + y² + z² = 133 and xz = y², then the difference between z and x is:

  3. SSC GD • 2019

    P and Q together can complete a work in 20 days. If P alone can complete the same work in 36 days, then in how many days Q alone can complete the same work?

  4. SSC GD • 2026

    Two successive discounts of 10 percent and 30 percent are given on an article. What is the net discount?

  5. SSC CGL • 2023

    If the total surface area of a cube is 24 square units, then what is the volume of the cube?

  6. SSC GD • 2019

    Height of a right circular cone is 8 cm. If diameter of its base is 12 cm, then what will be the curved surface area of the cone?

  7. SSC CHSL • 2020

    A blanket is sold for Rs.680 at the discounts of 15% and 20%. Find the printed price of the blanket.

  8. SSC CHSL • 2024

    A fraction 3/5 is decreased by 2/5 . The resulting fraction is then increased by 20%. What is the percentage decrease/increase in the value of the original fraction?

  9. SSC CGL • 2020

    If x = 4cosA + 5sinA and y = 4sinA - 5cosA, then the value of x²+ y² is:

  10. SSC CHSL • 2020

    A triangle has sides 25, 39, 34 units. If the area of a square exceeds the area of this triangle by 21 units, then the side of the square is:

  11. SSC CHSL • 2023

    Simplify the given expression. (0.25)⁴+2×(0.25)²+1-(0.25)²over (0.25)²+0.25+1

  12. SSC Selection Post • 2022

    A train traveling at 138 km/h completely crosses another train half its length and traveling in the opposite direction at 42 km/h in 6 s. If it also passes a railway platform in 45 s, then find the length of the platform. (In m)

  13. SSC CHSL • 2023

    Kalyan invested an sum of Rs. 12,000 for two years compounded at 5% and 10%, respectively. What is the compound interest (in Rs) at the end of two years?

  14. SSC CGL • 2024

    The value of (x+y)²+(x-y)² is equal to:

  15. SSC GD • 2019

    Renu saves 30% of her income. If her savings increases by 30% and the expenditure increases by 25%, then the percentage increase in her income is:

  16. SSC CGL • 2022

    If cosec A = sec B, where A and B are acute angles, then what is the value of (A + B)?

  17. SSC CHSL • 2024

    The following graph shows the sale of few items of a garment company for three months. [Image] What is the percentage of the sale of the least selling item in the three months over the total sale of the company?

  18. SSC CGL • 2022

    If the volume of a spherical is equal to that of a cylinder having the same radius, then find the ratio of the radius to the height of the cylinder.

  19. SSC CHSL • 2021

    If (4x-5)³+ (x-2)³+ 27(2x-5)³=9(4x-5)(x-2)(2x-5), then the value of (x+3 over 2) will be:

  20. SSC Selection Post • 2020

    By selling two articles, each for ₹270, a shopkeeper gains the cost price of one article. The cost price of one article and the profit percentage, respectively, are:

  21. SSC CGL • 2022

    The side of an equilateral triangle is 12 cm. What is the radius of the circle circumscribing this equilateral triangle?

  22. SSC Selection Post • 2022

    Alloys A and B contain copper and zinc in the ratio 7 : 8 and 4 : 1, respectively. In what ratio should A and B obtain a new alloy C containing copper and zine in the ratio 2 : 1?

  23. SSC GD • 2024

    The ratio of two numbers is 3: 5. If their product is 3375, then what is the sum of both the numbers?

  24. SSC GD • 2024

    The selling price of a car is Rs. 3675. If the car is sold at a discount of 65 percent. then what will be the marked price of the car?

  25. SSC CHSL • 2023

    The value of 3 +8×8÷8 \ of \ 8+7÷7×2over 5÷5\ of\ 4+3×3÷3-3+2 is :

  26. SSC GD • 2023

    40 men can complete a work in 15 days. They started working, and after 5 days 10 more men joined them. In how many days will the total work be completed ?

  27. SSC MTS • 2019

    Solve: 5 of 5 of 5 ÷ 5 + 5 – 6 ÷ 3 × 4 + 2 + (3 ÷ 6 × 2)

  28. SSC CGL • 2025

    What is the radian measure of 120°?

  29. SSC CGL • 2024

    The length of the tangent drawn from a point 10 cm away from the centre of a circle with radius 4 cm is:

  30. SSC CHSL • 2024

    The sum of the digits of a two-digit number is 9. If the digits are reversed, then the number is increased by 27. Find the number.

  31. SSC Selection Post • 2022

    A train passes two bridges 400 m and 295 m long in 75 seconds and 60 seconds, respectively. How much time (in seconds) will the train take to cross another train of length 325 m running on parallel tracks at the speed of 97.2 km/h in same direction?

  32. SSC Selection Post • 2022

    A bus during its journey travels 60 minutes at a speed of 80 km/h, another 90 minutes at a speed of 100 km/h, and 4 hours at a certain speed. If the average speed of the bus during its whole journey is 70 km/h, what is the speed of the bus during the 4 hours?

  33. SSC Selection Post • 2024

    The present ages of Ramu and Ravi are in the ratio of 4 : 3. After 5 years, the ratio of their ages will be 5 : 4. Find their present ages, respectively.

  34. SSC CHSL • 2023

    The shares of students studying in different streams of a college in the years 2021 and 2022 are as reflected in the two pie charts given below. [Image] The total number of students opting for humanities in the college was 15,600 in both the given years…

  35. SSC GD • 2023

    X was offering two successive discounts of 12 percent and 8 percent on an item while Y was offering flat 20 percent discount on the same item. What is the difference between overall discount given by X and Y?

  36. SSC Selection Post • 2023

    The driver of a car travelling at a speed of 60 km/h decides to slow down to 40 km/h after covering half of the distance. What is the average speed of the car (in km/h)?

  37. SSC GD • 2024

    For what value of A, 2545A is divisible by 8?

  38. SSC CGL • 2021

    If 7cos² θ + 5sin²θ - 6 = 0, (0° √(())/(cosecθ+tan θ)secθ-cotθ ?

  39. SSC Selection Post • 2022

    What will be the compound interest (in ₹, to nearest rupee) on ₹17,600 for 2 years at 7%per annum, compounded annually?

  40. SSC Selection Post • 2022

    When an article is sold for ₹948, there is a loss of 21%. To gain 23%, it should be sold at (in₹):

  41. SSC CGL • 2022

    A hotel is giving a discount of 12% on the booking of 2 or more rooms. Additionally, the hotel is offering a 5% discount only on payment using any card of SBI. Rakesh booked 2 rooms in the hotel for a day at the rate of Rs.1,500 per room per day. While…

  42. SSC CGL • 2025

    A 45-litre mixture of kerosene and diesel contains kerosene and diesel in the ratio 4 : 5. How much diesel must be added to make the ratio 4 : 6?

  43. SSC GD • 2019

    A hall is 15 m long and 12 m broad. If the sum of the areas of the floor and the ceiling is equal to the sum of the areas of four walls, Find the volume (in m³) of the hall.

  44. SSC CGL • 2020

    The following table shows the number of students enrolled in different streams in a particular college. [Table] The ratio of the number of girls studying Arts to the number of girls studying in all other streams is:

  45. SSC CHSL • 2021

    Two numbers are in the ratio of 9 : 7. If the larger number is 56 more than one-seventh of the smaller, then what is the sum of the two numbers?

  46. SSC CGL • 2020

    What is the area of a sector of a circle of radius 14 cm and central angle 45? (Take π = 22/7)

  47. SSC GD • 2025

    A dealer marks 20% above the cost price and allows a 20% discount. What is the profit or loss per cent?

  48. SSC CGL • 2021

    Three shopkeepers A,B and C marked an identicl articles at Rs 4820. A , B and C sold their articles on succesive discounts of 20% and 20%;25% and 15%;30%and 10% respectively. What shopkeeper gives the maximum discount and how much (in Rs)?

  49. SSC CGL • 2025

    Which point lies on y = -3x + 7?

  50. SSC GD • 2023

    The ratio of the third proportion of 5 and 12 with the fourth proportion of 5, 8 and 9 is: