SarkariPYQ

Quantitative Aptitude PYQ — Page 292

24,303 questions across SSC exams.

  1. SSC CGL • 2022

    The value of (sin30° cos60° - cos30° sin60°) is equal to:

  2. SSC CHSL • 2021

    If x² - 3 √(2) x + 1 = 0, then what is the value of x³ + (1/x³) ?

  3. SSC MTS • 2019

    Radius of base of a right circular cone and a sphere is each equal to r. If the sphere and the cone have the same volume. then what is the height of the cone.

  4. SSC CGL • 2022

    LCM of two numbers is 56 times their HCF, with the sum of their HCF and LCM is 1710. If one of the two numbers is 240, then what is the other number?

  5. SSC CGL • 2023

    If sinθ - cosθ = 0, then find the value of (sin³θ - cos³θ).

  6. SSC GD • 2021

    If P can complete 1/3 of a work in 6 days and Q can complete 1/4 of the same work in 9 days, how much will Q get if both work together and are paid in advance ₹210 in all?

  7. SSC Selection Post • 2022

    The sum of the first 13 terms of a GP is equal to the sum of the first 11 terms in the same GP. The sum of the first 15 terms is 1200. What is the 21st term in the same GP?

  8. SSC CHSL • 2025

    A chord AC subtends an angle of 90° at the center O. If the radius of the circle is 8 cm, what is the length of the chord AC?

  9. SSC CGL • 2023

    In the following figure, there are two circles that touch each other externally. The radius of the first circle with centre P is 25 cm. The radius of the second circle with centre Q is 4 cm. Find the length of their direct common tangent AB [Image] Figure is…

  10. SSC Selection Post • 2019

    Four years ago, the ratio of the ages (in years) of A and B was 8:9. The ratio of their ages, 8 years from now, will be 11:12. What is the sum of their present ages in years?

  11. SSC CGL • 2023

    If x²- 7x + 1 = 0, and 0 -1/(x²) ?

  12. SSC CHSL • 2020

    In an isosceles triangle ABC with AB = AC and AD is perpendicular to BC, if AD = 6 cm and the perimeter of ΔABC is 36 cm, then the area of ΔABC is:

  13. SSC CGL • 2019

    A train travelling at 44 km/h crosses a man walking with a speed of 8 km/h, in the same direction, in 15 seconds. If the train crosses a woman coming from the opposite direction in 10 seconds, then what is the speed (in km/h) of the woman?

  14. SSC Selection Post • 2022

    Find the LCM of 32 and 640.

  15. SSC CGL • 2025

    The sides of a rectangular prism are in the ration 4 : 5 : 6. If the volume of the prism is 960 cm³, what is the length of its longest side?

  16. SSC CGL • 2022

    The price of an item is reduced by 20%. As a result, customers can get 2 kg more of it for Rs 360. Find the original price (in Rs) per kg of the item.

  17. SSC CHSL • 2025

    A can do a job in 10 days and B in 12 days. They work on alternate days starting with A. In how many days will the job be finished?

  18. SSC CGL • 2023

    In a circle, a 14 cm long chord is at 24 cm from the centre of the circle. Find the length of the radius of the circle.

  19. SSC MTS • 2022

    The following table shows the number of flowers of different colours in a garden. [Table] What is the total number of flowers in the garden, except the blue-colored ones?

  20. SSC Selection Post • 2022

    A cuboid of length 18 m, breadth 12 m, and height 8 m is melted and recast into a cube. Find the length of the diagonal of the cube.

  21. SSC Selection Post • 2022

    The savings of a man is equal to 20% of his expenditure. If his income increases by 25% and expenditure increases by 18%, then his saving will increase by:

  22. SSC CHSL • 2022

    The following table shows the production of five types of cars by a company for the years 2012 to 2015. [Table] In which year was the total production of cars of types D2 and D3 taken together, equal to the total production of cars of types D4 and D5 taken…

  23. SSC CGL • 2023

    Which of the following is a FALSE statement?

  24. SSC CGL • 2023

    A can finish a work in 20 days and B can complete the same work in 15 days. B worked for 9 days and left the job. In how many days can A alone finish the remaining work?

  25. SSC GD • 2021

    A discount of 20% on the price of an article is the same as a discount of 25% on the price of another article. The prices of the two articles will be, respectively:

  26. SSC CHSL • 2025

    A vessel contains a mixture of milk and water in the ratio 4:1. A certain quantity of this mixture is removed and replaced with an equal quantity of water. After this process, the ratio of milk to water in the new mixture becomes 2:3. What percentage of the…

  27. SSC MTS • 2022

    The average of 5 terms is 15. If the first 4 terms are 12, 17, 23 and 8, what will be the fifth term?

  28. SSC Selection Post • 2022

    The monthly incomes of A and B are in the ratio 5: 8, A saves ₹7,400 and B saves ₹6,500 per month. If the ratio of the monthly expenditures of A and B is 1:2, then the monthly income (in ₹) of B is:

  29. SSC CGL • 2024

    Successive discounts of 10% and 20% are given on the purchase of a purse. If the marked price of the purse is ₹2,250, find the selling price.

  30. SSC CGL • 2022

    A manufacturer who marks the price of an article at Rs 1,800, sells it to a discount of 15%. The dealer gets a further discount of 8% on his net payment for paying in cash. What amount (to the nearest rupee) does the dealer pay to the manufacturer?

  31. SSC MTS • 2022

    A square of side p is taken. A rectangle is cut out from this square such that the length of one side of the rectangle is equal to half of the length of one side of the square and the length of another side of the rectangle is equal to of the length of the…

  32. SSC CHSL • 2025

    A land plot is defined by points A(0,0), B(4,0), C(5,3), D(1,3). What is the area of the parallelogram representing this plot?

  33. SSC CGL • 2025

    A group of 5 men or 12 women can complete a task in 70 days. Find the time taken by 5 men and 12 women to complete the task.

  34. SSC CGL • 2021

    Two numbers are in the ratio 2 : 3. If 5 is subtracted from the first number and six is added to the second number, then the ratio becomes 5 : 12. What would the ratio become when eight is added to each number?

  35. SSC CHSL • 2025

    If a chord of a circle is 24 cm and the distance of the chord from the center is 5 cm, what is the diameter of the circle?

  36. SSC CHSL • 2024

    What is the number of digits required for numbering a book with 428 pages?

  37. SSC CGL • 2025

    A can complete a job alone in 15 days and B alone in 20 days. A, B, and C together complete the job in 6 days. They agree to share ₹9,000 for the work. How much should C be paid?

  38. SSC Selection Post • 2022

    A, B and C can do a work together. The ratio of the work that A and B do together with respect to what C does is 13 : 3, and the ratio of the work that B and C do together to the work that A does is 1 : 1. Which worker among the three is the most efficient?

  39. SSC CHSL • 2021

    A and B are two points on a circle with centre O. C is a point on the minor arc of the circle between points A and B. The tangents to the circle at A and B meet each other at a point D. If ∠ ADB = 25°, then ∠ ACB (in degrees) is equal to:

  40. SSC GD • 2021

    Mukul lent ₹9,300 on simple interest in two parts. He earned interest at 5% per annum on the first part and at 8% per annum on the second part. The total interest he received after 4 years is ₹2,400. What is the ratio of the money lent at 5% to that lent at…

  41. SSC CHSL • 2021

    Simplify the following expression. {3(2/3) of (3/4) - (1/4) of (4/3)} ÷ {(1/4) ÷ (3/2)} + 1(1/2)

  42. SSC CHSL • 2023

    A can do a piece of work in 24 days and B can do the same work in 30 days. If they work on it together for 8 days, then the fraction of the work that is left is:

  43. SSC CGL • 2024

    A thief is spotted by a policeman from a distance of 100 m. The thief starts running and the policeman chases him. If the speed of thief and policeman are 21 km/h and 23 km/h, respectively, then how far will the thief have to run before he is over taken?

  44. SSC Selection Post • 2019

    This pie chart shows the percentage distribution of a total of 800 employees in different departments of a company. The table shows the ratio of male and female employees in different departments. [Image] What is the total number of male employees in the…

  45. SSC CGL • 2023

    Find the exact value of cos 120°.

  46. SSC CHSL • 2023

    The area of a sector of a circle is 616 cm² with a central angle of 10°. The radius of the circle is_____.(use π=22over7 ).

  47. SSC CGL • 2024

    The given pie chart shows the expenditure by a state government on various sports during a particular year. [Image] If the total amount spend on tennis and football is ₹1,45,000, then the total amount (in ₹) spend on all the given sports is:

  48. SSC MTS • 2022

    If a person goes from home to his college at a speed of 12 km/h, he reaches 7 minutes early. If he goes at a speed of 8 km/h, he reaches 14 minutes late. What is the distance between his home and his college?

  49. SSC CHSL • 2024

    The average monthly expenditure of a family was Rs. 2,500 during the first 4 months, Rs. 2,750 during the next 5 months, and Rs. 3,550 during the last 3 months of the year. If the total saving during the year was Rs. 5,500, what was the average monthly…

  50. SSC CGL • 2022

    The following table shows the number of delivery partners (in thousands) who joined five different companies during six different years. [Table] Find the percentange increase in the number of delivery partners that joined Pyntra from 2017 to 2021.