Quantitative Aptitude PYQ — Page 173

24,303 questions across SSC exams.

  1. SSC CHSL • 2025

    A train takes 36 seconds to pass a man walking at 2 m/s in the same direction and 48 seconds to cross a platform whose length is 50% more than the train. A 60-metre-long tractor is coming from the opposite direction at 6 m/s. Find the time taken by the train…

  2. SSC CHSL • 2021

    The circumference of a circle is 'a' units and the area of the circle is 'b' square units. If a : b is equal to 4 : 5, then the radius of the circle is:

  3. SSC CHSL • 2023

    Which of the following is the nearest number to 13051 and is divisible by 9?

  4. SSC CHSL • 2025

    What is the selling price if the marked price is Rs. 750 and discount is 12%?

  5. SSC CHSL • 2020

    If in the following figure (not to the scale), ∠ACB = 135ᵒ and the radius of the circle is 2√(2) cm, then the length of the chord AB is: [Image]

  6. SSC CHSL • 2023

    In a triangle, ABC, AP, the bisector of ∠ A , is perpendicular to BC at point P. The measures of BP and PC are x and 3y, respectively. The measures of AB and AC are 4x and (5y + 21), what is the value of (x + y)?

  7. SSC GD • 2025

    There are 38 members in group A, 31 members in group B and 52 members in group C. All the members of these groups went to a restaurant. The average amount spent on each member of group A, B and C is ₹375, ₹309 and ₹298, respectively. The total average amount…

  8. SSC CGL • 2023

    Two successive increments of 30% each is by what percentage more than two successive decrements of 30% each? (Correct to two decimal places)

  9. SSC CGL • 2025

    In triangles PQR and LMN, the sides are such that PQ = LM, QR = MN, and RP = NL. Which congruence criterion confirms that triangle PQR is congruent to triangle LMN?

  10. SSC CHSL • 2025

    In a hostel, the average age of 30 students was 18 years. Later, 5 students left and 5 new students joined. The average age of the new group became 17.2 years. If the average age of the 5 students who left was 20.4 years, find the average age of the 5…

  11. SSC CGL • 2022

    A, B and C started a business in partnership. Initially, A invested Rs 29,000, while B and C invested Rs 25,000 each. After 4 months, A withdrew Rs 3,000. After 2 more months, C invested Rs 12,000 more. Find the share of C (in Rs) in the profit of Rs 33,200…

  12. SSC CHSL • 2020

    The following bar graph shows the number of deaths from road accidents occurred during the rainy season in the year 1992. Study the graph carefully and answer the question. [Image] Between which two consecutive weeks was the fall in the number of deaths the…

  13. SSC MTS • 2022

    40 people were employed who could together make 60 toys in 8 hours, but 8 people left just before work was to begin. How many toys could then be made in 12 hours?

  14. SSC Selection Post • 2022

    A vegetable dealer buys 50 carrots for Rs.36, and sells 36 carrots for Rs.50. His profit percentage (correct to one decimal place) is:

  15. SSC CGL • 2022

    Study the given histogram and answer the question that follows. The histogram represents the percentage of marks obtained by a number of students of a school in the class X Board Examination in 2018.The total number of students =250. [Image] The number of…

  16. SSC MTS • 2022

    How much air can be held in a closed cubical box, each of whose edges is 12 metres long?

  17. SSC CGL • 2021

    If a³ - b³ = 2349 and (a - b) = 9, then (a+b)² - ab is equal to:

  18. SSC GD • 2023

    A can paint 5 chairs in an hour, and B can paint 3 chairs in an hour. Determine how much time they will require to paint 40 chairs when they work together.

  19. SSC CHSL • 2019

    Two students A and B appeared in an exam, A secured 8 marks more than B and the marks of the former was 55% of the sum of their marks. Find the sum of marks obtained by A and B.

  20. SSC CHSL • 2021

    What is the simple interest on a sum of Rs.99,000 at 121 over 2 % per annum for a period of 9 months?

  21. SSC Selection Post • 2022

    Given that ΔABC is congruent to ΔDEF. If AC = 11 m, ED = 6 m, EF = 15 m, ∠FDE = 85°, and ∠ABC = 55°, then the perimeters of triangles ABC and ∠EFD are, respectively:

  22. SSC Selection Post • 2022

    If the five-digit number 570xy is divisible by 231, then what is the value of (2x - y)?

  23. SSC CHSL • 2023

    The value of cot 13° cot 27° cot 60° cot 63° cot 77° is:

  24. SSC CGL • 2019

    A solid cube is cut into three cuboids of the same volumes. What is the ratio of the surface area of the cube to the sum of the surface areas of any two of the cuboids so formed ?

  25. SSC CGL • 2023

    The volume of a sphere of radius 4.2 cm is: Use π = 22/7

  26. SSC GD • 2021

    Simplify the following expression. (3/4of13/5-1times5+2)/(24-6times2)div4

  27. SSC Selection Post • 2023

    If 20% of a number is subtracted from a second number and the second number decreases to its 70%, then what is the ratio of the first number to the second number?

  28. SSC Selection Post • 2024

    Ram, standing on a railway platform, noticed that a train took 36 seconds to completely pass through the platform, which was 108 m long, and it took 12 seconds to pass him. Find the speed of the train.

  29. SSC Selection Post • 2020

    A vendor bought 60 kg of sugar at the rate of ₹25/kg. He sold 60% of the total quantity at the rate of ₹30/kg. At what price (in ₹/kg) should he sell the remaining quantity to make a 30% overall profit?

  30. SSC CGL • 2023

    The following figure shows the percentage growth in units of fans and coolers sold in some years. What is the difference between the averages of the growth rate in coolers and fans? [Image]

  31. SSC GD • 2021

    The distance between two stations A and B is 700 km. A train covers the journey from A to B at a speed of 80 km/h and returns back to A with a uniform speed of 65 km/h. The average of train during the whole journey, is closest to:

  32. SSC CGL • 2021

    The data given in the table shows the number of students stdying in four different disciplines in 5 institutes. Study the tableand answer the question: [Table] By what percent is the number of students studying Computer Science in institutes A and B more…

  33. SSC CGL • 2019

    If a² + b² + 64c² + 16c + 3 = 2(a + b), then the value of 4a⁷ + b⁷ + 8c² is:

  34. SSC CHSL • 2025

    The volume of a cone is 462 cm³, and its height is 14 cm. Find the radius of the base.

  35. SSC GD • 2024

    Which of the following number is divisible by 11?

  36. SSC CHSL • 2021

    A can complete a piece of work in 7 days and B can complete the same work in 12 days. A and B worked together for 3 days. C alone completed the remaining work in 9 days. How many days will C take to complete the same work entirely?

  37. SSC Selection Post • 2022

    Two pipes, X and Y, can fill a tank in 12 minutes and 18 minutes, respectively. If both the pipes are opened simultaneously, how long will it take to fill the tank?

  38. SSC CHSL • 2024

    Ram spends 30% of his salary on food, 10% on house rent, 7% on entertainment, and 6% on conveyance. If at the end of a month his savings are ₹1,880, then his monthly salary is:

  39. SSC CHSL • 2023

    If sinθ.sin45° = sin30° and θ is an acute angle, then 2θ is equal to:

  40. SSC Selection Post • 2022

    The average of 25 numbers is 54. The average of the first 13 numbers and that of the last 13 numbers are 52.8 and 62.2, respectively. If the 13^(th) number is excluded, then what is the average of the remaining numbers (correct to one decimal place)?

  41. SSC GD • 2019

    The pie chart given below shows the imports of 7 different items P1, P2, P3, P4, PS, P6 and P7 as a percentage of total imports of a country. [Image] Imports of item P6 is how much percent more than the imports of item P5?

  42. SSC CGL • 2025

    The average age of 26 students in a class is 37 years. If the age of the teacher is also included, the average age of the whole group becomes 38 years. The age (in years) of the teacher is:

  43. SSC CGL • 2020

    The monthly salaries of A and B are the same. A, B and C donate 10%, 8% and 9% respectively, of their monthly salaries to a charitable trust. The difference between the donations of A and B is Rs 400. The total donation by A and B is Rs 900 more than that of…

  44. SSC GD • 2026

    A train moves at a speed of 15 m/s and crosses a bridge of length 500 metres in 65 seconds. What is the length (in metres) of the train?

  45. SSC CHSL • 2020

    In the given figure, PQRS is a cyclic quadrilateral. What is the measure of the angle PQR if PQ is parallel to SR? [Image]

  46. SSC GD • 2019

    Let x be the greatest number such that when 12085, 16914 and 13841 are divided by it, the remainder in each case is same. The sum of digits of x is:

  47. SSC CGL • 2023

    In the given figure, O is the centre of the circle and ∠AOB = 13Oᵒ. Find ∠APB. [Image]

  48. SSC CHSL • 2025

    If A’s income is 20% more than B’s and B earns Rs. 50,000, what percent less is B’s income than A’s?

  49. SSC CHSL • 2024

    If 4sin²θ-4sqrt3sinθ+3=0 , then find the value of θ . (0 θ < 90°)

  50. SSC Selection Post • 2024

    Pass percentage of an examination is 35%. If a student who got 210 marks, failed by 14 marks, then what are the maximum marks of the examination?