Quantitative Aptitude PYQ — Page 403

24,303 questions across SSC exams.

  1. SSC CHSL • 2025

    If the hypotenuse of a right-angled triangle is 29 cm and the difference between its other two sides is 1 cm, then find the sum of the other two sides of the triangle.

  2. SSC CGL • 2023

    A is 40% more efficient than B. How much time will they take to work together to complete a job, which A alone could have done in 31 days?

  3. SSC CGL • 2024

    Simplify the following expression. 25 ÷ 5 + 3 of 2 − 4 + 6 of 3 ÷ 2 − 8 + 4

  4. SSC CGL • 2022

    Two circles touch each other externally at P. AB is a direct common tangent to the two circles, A and B are points of contact, and ∠PAB = 40° . The measure of ∠ABP is:

  5. SSC CHSL • 2024

    If the radius of a circle is 48 cm and the length of the arc is 15 cm, then the area of the sector corresponding to that arc is:

  6. SSC CHSL • 2025

    Simplify: (1+sin x)/(1-cos x) + (1-sin x)/(1+cos x)

  7. SSC CHSL • 2025

    If a certain sum of money becomes double of itself in 5 years 6 months at simple interest, then what will be the annual rate of interest (approximate)?

  8. SSC CHSL • 2022

    If the cost price of 70 articles is equal to the selling price of 40 articles, what will be the profit percentage?

  9. SSC GD • 2021

    After applying successive discounts of 10% and 5% on the marked price of an article, it was sold for ₹3,420. Find the marked price of the article.

  10. SSC CGL • 2023

    If Mohit can complete 2/3^(th) of the work in 24 days, then in how many days can 1/9^(th) of the work be complete by him?

  11. SSC CGL • 2024

    The given table shows the number of candidates appeared in an interview for different posts (A, B, C, D, E, and F). What is the average number of candidates appearing for the posts C, D, E, and F? [Table]

  12. SSC CHSL • 2023

    Side of an equilateral triangle is 12 cm. What will be the radius of incircle of this equilateral triangle?

  13. SSC CGL • 2023

    If b = 5, determine the value of an expression (5/b+5b)(25/(b²)-25+25b²) using an identity.

  14. SSC CGL • 2024

    If tringle PQR congruent to triangle ABC, BC = 6 cm ang B = 50° and ang A = 70° , then which of the following is true ?

  15. SSC CHSL • 2023

    An item is sold for ₹2,744, and the seller earns 12% profit. What should be the selling price (in ₹) to eam only 5% profit?

  16. SSC CGL • 2024

    For what value of K does the following system have an infinite number of solutions? x + 2Ky - 8 = 0 2x - y - 16 = 0

  17. SSC CGL • 2022

    Study the given table and answer the question that follows. Find the difference between the number of female students and male students who opted biology in school C. [Table]

  18. SSC CGL • 2023

    A one metre pipe is made with inner diameter equal to outer radius. How much material (in cubic units) is required to make the pipe, if it can hold 88/7 cubic metres water in it?

  19. SSC CHSL • 2025

    A regular right pyramid with an equilateral triangular base of side 18 cm is completely submerged in a cylindrical tank of radius 10 cm, initially filled with water to a height of 25 cm. The pyramid's apex just touches the bottom of the tank. Given that the…

  20. SSC CGL • 2022

    Study the following chart and answer the question that follows. The chart shows the quantity of substances (P1, P2 , P3) in different drugs (A, B, C, D). [Image] Which substance is/are most used in terms of quantity in all drugs?

  21. SSC CHSL • 2022

    The value of sin 18^∘ is given as (√(5)-1)/4 . Using this value, find the value of cos 18^∘.

  22. SSC GD • 2021

    A chair is sold for ₹720 after giving a discount of 10% on its marked price. The cost price of the chair is ₹640. If it is sold at the marked price, then the profit percentage will be:

  23. SSC CHSL • 2022

    Find the fourth proportional to 5, 10, and 12.

  24. SSC CHSL • 2021

    Study the given graph and answer the question that follows. [Image] The expenditure on Interest on Loans is by what percentage more than the expenditure on Taxes?

  25. SSC CGL • 2019

    The total production of cars of type B in 2013, 2014, 2015 and 2017 taken together is what percent less than the total production of all types of cars in 2017? (Correct to one decimal place)

  26. SSC CGL • 2025

    Dhiraj goes to his school from his house at a speed of 3.8 km/hr and returns at 2.6 km/hr. If he takes 5 hours going and coming, the distance between his house and school is:

  27. SSC CGL • 2023

    After allowing a discount of 15%, the value of a washing machine is ₹29,750. If no discount is allowed, then the shopkeeper gains 12%. The cost price of the washing machine is:

  28. SSC MTS • 2022

    The following pie chart gives the ratio of various kinds of expenses of a particular family for a week. [Image] If the amount spent on shopping for the week is Rs 1,000, what is the total amount spent on food (in Rs)?

  29. SSC Selection Post • 2022

    If the mean proportional between 5 and 125 is x and the mean proportional between 4⁴ and 6² is y, find the value of 2x : y

  30. SSC GD • 2019

    A sum becomes 8 times of itself in 7 years at the rate of compound interest (interest is compounded annually). In how many years will the sum becomes 4096 times of itself?

  31. SSC Selection Post • 2022

    Two mobile phones and one LED TV cost ₹27,000, while two LED TVs and one mobile phone cost ₹29,802. The value of one LED TV is:

  32. SSC MTS • 2019

    The sum of the present ages of a father and his son is 78 years. After five years, the ratio of their ages becomes 7 : 4. What is the present age (in years) of the father?

  33. SSC CHSL • 2024

    If 1/M : 1/N : 1/O = 3 : 4 : 5, then M : N : O is equal to:

  34. SSC CHSL • 2025

    A person travels a total distance of 480 km, partly by car at a speed of 80 km/h and the rest by bike at 40 km/h. If 75% of the total distance is covered by car, find the approximate average speed of the entire journey.

  35. SSC CGL • 2023

    The successive discounts of 12%, 20% and 25% are equivalent to a single discount of:

  36. SSC CGL • 2021

    In a circle with centre O, AD is a diameter and AC is a chord. Point B is on AC such that OB = 7 cm and ∠OBA = 60º.If ∠ DOC = 60º, then what is the length ob BC (in cm)?

  37. SSC CHSL • 2022

    The curved surface area of a hemisphere is 1232 cm² . Its radius will be: (Take π=22/7)

  38. SSC MTS • 2022

    If the sum of the diagonals of a rhombus is L and the perimeter is 4P, find the area of the rhombus?

  39. SSC Selection Post • 2020

    In triangle ABC, BD ⊥AC at D. E is a point on BC such that ÐBEA = x⁰, if ÐEAC =36" and ÐEBD= 40°, then the value of x is:

  40. SSC Selection Post • 2019

    Identify the LCM of the numbers 32, 16 and 9 among the options.

  41. SSC CHSL • 2025

    Simplify the following expression: ((25)⁴+ 1250 + 1 − (25)²) / ((25)² + 26)

  42. SSC CHSL • 2021

    The given pie chart represents the percentage - wise distribution of 300 students of class X in a school in six different sections A,B,C,D,E and F. [Image] The given table shows the number of boys of class X in six different sections A,B,C,D,E and F. [Table]…

  43. SSC Selection Post • 2022

    The savings of Surbhi are 16% of her expenditure. If her income increases by 35% and the expenditure increases by 38%, then by what percentage do her savings increase/decrease?

  44. SSC Selection Post • 2023

    The diagonal (in cm) of a cuboid with dimensions 9 cm × 12 cm × 20 cm is:

  45. SSC CHSL • 2021

    If (cos²θ-1)(2sec²θ) + sec²θ+2tan²θ=2,0° , then the value of ((secθ + sinθ))/((cosecθ-cosθ)) will be:

  46. SSC CHSL • 2024

    A number increased by 20% gives 240. Find the number.

  47. SSC Selection Post • 2022

    The average weight of a group of 12 girls is 48 kg. If 2 girls R and S replace P and Q. the new average weight becomes 45 kg. The weight of P = the weight of Q. The weight of R = the weight of S. Another girl T, is included in the group and the new average…

  48. SSC Selection Post • 2022

    Raj can build a house in 16 days by himself, while Suraj can do it in 12 days. Raj and Suraj work on alternate days. How many days would the house take to build if Raj starts working on the first day?

  49. SSC Selection Post • 2024

    Who among the following scored the maximum overall percentage? [Image]

  50. SSC CGL • 2021

    Points A and B are on circle with centre O, PAM and PBN are tangents to the circle at A and B respectively from a point P outside the circle. Point Q is on the major are AB such that ∠QAM = 58° and ∠QBN = 50°, then find the measure (in degree) of ∠APB.