SarkariPYQ

Quantitative Aptitude PYQ — Page 211

24,303 questions across SSC exams.

  1. SSC CHSL • 2021

    If cosec² θ (cos θ - 1)(1 + cos θ) = k, then what is the value of k?

  2. SSC CGL • 2019

    If x is added to each of 12, 28, 21 and 45, the numbers so obtained, in this order, are in proportion. What is the mean proportional between (x + 3) and (4x + 1)?

  3. SSC GD • 2019

    The HCF and LCM of two numbersare 12 and 240 respectively. If one of the number is 24, what is the another number

  4. SSC CGL • 2025

    A sector of a circle having a radius of 8 cm and has a central angle of (π)/8 radians. What is the area of the sector?

  5. SSC CGL • 2021

    In a factory there are 39 workers who have been categorized into five groups (A, B, C, D, E) on the basis of the range of their daily wages (in multiples of Rs. 100). The distribution is presented through a Histogram shown below: [Image] What is the ratio of…

  6. SSC CHSL • 2025

    The longest chord of a circle is:

  7. SSC GD • 2025

    There are 44 members in group A, 26 members in group B, and 45 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 ₹403, ₹383, and ₹228, respectively. The total average…

  8. SSC CHSL • 2025

    A person covers a certain distance in 2 hours. If he had moved 5 km/h faster, he would have taken 30 minutes less. Find the original speed.

  9. SSC MTS • 2022

    The average of nine numbers is 20. If two of these numbers are removed, then the average becomes 18. What is the sum of the two numbers that are removed?

  10. SSC MTS • 2022

    What is the radius of a circular field whose area is equal to the sum of the areas of three smaller circular fields of radii 8 m, 9 m and 12 m, respectively?

  11. SSC CHSL • 2023

    Two circles of radii 12 cm and 13 cm are concentric. The length of the chord of the larger circle that touches the smaller circle is:

  12. SSC MTS • 2019

    A sum invested at compound interest (compounded anually) amounts to Rs. 750 at the end of first year and Rs. 900 at the end of second year. What is the sum?

  13. SSC Selection Post • 2023

    Muskan buys two kg of pulses for ₹400 and sells it for ₹440. She also uses the weight of 850 gm instead of 1 kg. What is Muskan’s actual profit percentage?

  14. SSC MTS • 2019

    A sum of money Rs.2400 becomes Rs.3600 in 6 years at a certain rate of compound interest (compounded anually). What will be the amount after 12 years at the same rate of interest?

  15. SSC GD • 2023

    A dealer marks his goods 15% above the cost price. Then he allows 20% discount on it. What will be his loss percentage?

  16. SSC GD • 2023

    Two trains start at the same time from Vijayawada and Calcutta and proceed towards each other at speeds of 24 km/h and 42 km/h, respectively. When they meet, it is found that one train has travelled 140 km more than the other. The distance between the two…

  17. SSC MTS • 2022

    The lengths of the diagonals of a rhombus are 16 cm and 30 cm, respectively. What is the perimeter of the rhombus?

  18. SSC CHSL • 2021

    The average score of 84 students (boys and girls) in a test is 95. The ratio of the number of boys to that of girls is 10: 11. The average score of the boys is 20% less than that of the girls. What is the average score of the boys in the test?

  19. SSC CGL • 2022

    The following pie-charts shows the number of students studying in different separtments of an institutes during the acedemic years 2019 and 2020. The total number of students was 2000 and 2400, respectively, in academic years 2019 and 2020. What is the ratio…

  20. SSC CHSL • 2022

    A can do a piece of work alone in 96 days and B can do it alone in 104 days. In how many days can the duo, working together, complete the work?

  21. SSC CHSL • 2022

    In what ratio must a grocer mix two varieties of pulses costing ₹15 and ₹20 per kg, respectively, so as to get a mixture worth ₹18 per kg?

  22. SSC CGL • 2025

    Given, (√(5+x)+√(5-x))/(√(5+x)-√(5-x)) =3 , then what is the value of x?

  23. SSC GD • 2023

    Find the ratio of the total surface area to curved surface area of a cylinder whose radius is 20 cm and height 50 cm.

  24. SSC CGL • 2021

    In △ABC, D is the mid - point od sides AC and E is a Point on side AB such that EC bisects BD at F. If AE = 30 cm , then the length of EB is :

  25. SSC CGL • 2025

    A solid hemisphere has radius 6 cm. It is melted into a cylinder of height 6 cm. Find the radius of the cylinder.

  26. SSC MTS • 2019

    The number of tables that can be purchased by a person in Rs. 2800 gets reduced by 20 if the price is increased by 40%. What is the initial price of each table?

  27. SSC CGL • 2023

    Using cos(A + B) = cosA cosB - sinA sinB, find the value of cos75°.

  28. SSC CHSL • 2025

    A cyclist covers a total distance of 36 km. After cycling for 2 hours and 30 minutes, he finds that the distance he has covered is 3/5 of the remaining distance. What is his speed in km/hr?

  29. SSC CGL • 2025

    If sin(70^°-x)=cos(2x) , then what is x?

  30. SSC Selection Post • 2023

    To pack a set of books, Surbhi made a carton that was 48 inches long, 27 inches wide and 30 inches tall. What will be the total surface area (in square feet) of this carton, once it closed from all sides? [Use 1 foot = 12 inches]

  31. SSC CGL • 2018

    A navy captain going away from a lighthouse at the speed of 4[√3 - 1]m/s. He observes that it takes him 1 minute to change the angle of elevation of the top of the lighthouse from 60° to 45°. What is the height (in meters) of the lighthouse?

  32. SSC CHSL • 2020

    If in any triangle, the angles are in the ratio of 1 : 2 : 1, then what will be the ratio of its sides?

  33. SSC CGL • 2022

    AB is a chord of a circle with centre O. C is a point on the circumference of the circle in the minor sector. If ∠ABO = 40°, what is the measure (in degree) of ∠ACB?

  34. SSC CGL • 2022

    The following pie charts show the number of students studying different departments of an institute during the academic years 2019 and 2020. The total number of students was 2000 and 2400 in the academic years 2019 and 2020, respectively. Students studying…

  35. SSC Selection Post • 2022

    In a certain number of years T, the simple interest earned on a certain sum at the rate of 9% per annum is nine-sixteenth of the sum. What is the value of T (in years)?

  36. SSC CGL • 2020

    Solve the following. ((Sin27ᵒ) / (Cos63ᵒ)) - ((Cos27ᵒ) / ((Sin63ᵒ))²

  37. SSC Selection Post • 2020

    A six-digit number 4ABB8A is a multiple of 33 for non-zero digits A and B. Which of the following could be the possible values of A and B?

  38. SSC GD • 2023

    A shopkeeper allows a discount of 40% on his articles and still makes a profit of 20%. How much cost price does shopkeeper pay for an article whose marked price is ₹ 2,400?

  39. SSC CHSL • 2020

    There are five stations on a railway line. What is the number of different journey tickets that are required for railway authorities?

  40. SSC CHSL • 2023

    In what ratio does a grocer mix tea at Rs. 26 per kg and Rs. 32 per kg so that by selling the mixture at Rs. 30 per kg they may gain 10%?

  41. SSC GD • 2025

    A can do a piece of work in 15 days and B can do it in 24 days. If they do the work alternately, in how many days will they finish the work, provided that A begins the work?

  42. SSC CGL • 2023

    What is the value of 64x³ + 36x²y+ 24xy²+2y³, when x = 3 and y = -4?

  43. SSC CGL • 2022

    The total surface area of a cylinder is 4092cm² and the diameter of its base is 21 cm. What is 50% volume (in cm³) of the cylinder (nearest to an integer)?

  44. SSC GD • 2025

    The LCM of 36, 30, 114 and 380 is:

  45. SSC CHSL • 2021

    In ΔPQR, points T and S are on PQ and PR, respectively, such that TS is parallel to QR. If TQ = 7.2 cm, PS = 1.8 cm and SR = 5.4 cm, then find the length of PT.

  46. SSC MTS • 2022

    When 8 is added to the numerator of a fraction and 12 is added to its denominator, the fraction becomes 1/2. When 2 is subtracted from its numerator and denominator, the fraction becomes 1/8. Find the original fraction.

  47. SSC CHSL • 2022

    983² - 17² = ?

  48. SSC GD • 2021

    If 10% of A = B, then B% of 20 is the same as:

  49. SSC GD • 2024

    The ratio of three numbers is 6:8: 9. If the sum of the three numbers is 460, then what is the largest number among the three numbers?

  50. SSC GD • 2021

    Two positive numbers A and B (A > B) are in the ratio 11 : 8. If the difference between 7 times of A 4 times of B is 225, then the value of 2A + 3B is: