SarkariPYQ

Quantitative Aptitude PYQ — Page 326

24,303 questions across SSC exams.

  1. SSC CGL • 2022

    80% and 90% pure acid solutions are mixed to obtain 20liters of 87% pure acid solutions. Find the quality (in liters) of 80% pure acid solution taken to form the mixture.

  2. SSC CHSL • 2024

    When 2²⁵⁶ is divided by 17, the remainder would be:

  3. SSC CGL • 2024

    A thief is noticed by a policeman from a distance of 92 m. The thief starts running and the policeman chases him. The thief and the policeman run at the speed of 90 km/h and 104.4 km/h, respectively. In how much time will the policeman catch the thief?

  4. SSC CHSL • 2025

    A dog starts chasing a rabbit that is 200 meters away. The dog runs at 25 m/s, and the rabbit runs at 20 m/s. How far will the rabbit have run before the dog catches it?

  5. SSC CGL • 2025

    A number is such that if you square it and then subtract twice the number, the result is 80. What is the number?

  6. SSC GD • 2019

    The following pie-chart shows the percentage distribution of the expenditure incurred in publishing a book. Study the pie-chart and answer the questions based on it. [Image] Royalty on the book is less than the paper cost by :

  7. SSC CHSL • 2022

    A can do a piece of work in 12 days and B can do it in 30 days. They work on alternate days; starting with A. In how many days will the work be completed?

  8. SSC MTS • 2022

    The following bar graph shows the number of kids who like different fruits [Image] What percentage of kids like bananas and apples?

  9. SSC CHSL • 2025

    If 2 sin² A + 2√2 cos A - 3 = 0, then find the value of tan A.

  10. SSC CGL • 2024

    The given table shows the expenditure of a company (in lakh rupees) per annum over the years. [Table] The total expenditure on all these categories in 2006 is what percentage (rounded off to two places of decimals) of the total expenditure in 2009?

  11. SSC GD • 2019

    A and B can complete a task in 40 days and 16 days respectively. A started the task alone and then after 12 days B joined him till the completion of the task. How long did the task last after B joined the task?

  12. SSC MTS • 2022

    Rs 2,400 is divided among three kids in the ratio of 2 : 3 : 3. Find the lowest share.

  13. SSC CHSL • 2025

    In a circle, chord AB has a length of 30 cm and the perpendicular distance from the center O to the chord is 8 cm. What is the diameter of the circle?

  14. SSC MTS • 2022

    What is the value of 7/11 ÷ 21/33 × 5/12 + 10/36 × 6/11 ÷ 18/33 ?

  15. SSC MTS • 2022

    Riya and George start walking towards each other from their houses at the speeds of 6 km/h and 8 km/h, respectively. After how long will they meet if the distance between their houses is 28 km.

  16. SSC CGL • 2024

    Simplify the following (sin³A - cos³ A)/(sin A - cos A) , where A is an acute angle.

  17. SSC Selection Post • 2022

    A man buys an article at 16 for ₹1,200 and an equal number of articles at 12 for ₹960. He sells all the articles at 15 for ₹1,350. His profit percentage in the entire transaction is (correct to one decimal place) :

  18. SSC CGL • 2025

    A tower is 20 meters tall. What is the length of the shadow cast by the tower when the sun's elevation is 45°?

  19. SSC CGL • 2022

    ∆ABC ~ ∆DEF such that AB = 9.1 cm and DE = 6.5 cm. If the perimeter of ∆DEF = 25 cm, then the perimeter of ∆ABC is:

  20. SSC Selection Post • 2024

    Sahil covers a distance of 96 km at the speed of 16 km/h and covers another distance at the speed of 21 km/h in 5 hours. What is his average speed (in km/h)? (Rounded off to 2 decimal places)

  21. SSC CHSL • 2025

    A 40 kg alloy of German Silver contains Copper and Zinc in some proportion. It has 10% Zinc. How much pure Zinc (in kg) should be added to the alloy so that the new mixture contains 20% Zinc?

  22. SSC CHSL • 2020

    The following graph shows the sales of cars (in thousands) in four cities in 4 years. Study the graph and answer the question. [Image] Which city has the highest percentage of sales, and in which year?

  23. SSC Selection Post • 2019

    When the price of sugar is raised by 20%, a person increases their expenditure on sugar only by 12%. By what percentage (correct up to two decimal places) should he reduce his consumption of sugar so as to be able to maintain the same level of expenditure?

  24. SSC CGL • 2023

    If D is the midpoint of BC in △ABC and ∠A = 90⁰, then AD = ___.

  25. SSC CHSL • 2022

    Find the volume of a hemisphere of radius 21 cm. (Use π=22/7)

  26. SSC CGL • 2025

    A garment shop sells a shirt for ₹A, including a loss of 5%. During an end-of-season sale, they mark up the same shirt to ₹1.2A. At the sale, they provide a flat discount of 10% on the marked price. What will be the percentage profit or loss for the garment…

  27. SSC CGL • 2024

    PQ and RS are common tangents to two circles intersecting at A and B. A and B, when produced on both the sides, meet the tangents PQ and RS at X and Y, respectively. If AB = 3 cm and XY = 5 cm, then PQ is ____.

  28. SSC CGL • 2023

    Abraham can complete a work in 9 days, while Andrew can complete the same work in 6 days. In how many days can they complete the work if they work together?

  29. SSC CHSL • 2025

    If sec θ + tan θ = 5, and θ lies in the first quadrant, find the value of sin θ.

  30. SSC CGL • 2024

    A policeman notices a thief from a distance of 200 m. The thief starts running and the policeman chases him. The thief and the policeman run at 10 km/h and 11 km/h, respectively. What is the distance (in meters) between them after 9 minutes?

  31. SSC GD • 2019

    The speed of a boat in still water is 9 km/hr and the speed of stream is 3 km/hr. The difference between the upstream speed and downstream speed will be:

  32. SSC CHSL • 2023

    The profit earned by selling a jacket for Rs. 9610 is equal to the loss incurred by selling the same jacket for Rs. 7690. What should be the selling price of the jacket to earn a 10 percent profit?

  33. SSC MTS • 2022

    A 600-metre-long train is running at the speed of 45 km/h. How much time will the train take to completely cross a stationary pole?

  34. SSC GD • 2019

    If (x + 6), (x + 12), (x - 2), and (x + 2) are in proportion then the mean proportional between x and (x - 10) is:

  35. SSC MTS • 2019

    A certain sum invested on compound interest (compounded anually) grows to Rs. 5040 in three years. If the rate of interest is 20% for the first year, 40% for the second and 50% for the third year, then what is the sum?

  36. SSC CGL • 2025

    A person invested a total sum of ₹2200 in three different schemes of simple interest at 4%, 5%, and 10% per annum. At the end of one year, he got the same interest from all three schemes. What was the amount (in ₹) invested at 5%?

  37. SSC CHSL • 2024

    In how many years will a sum of ₹4,250 yield a simple interest of ₹510 at a rate of 6% per annum?

  38. SSC CGL • 2025

    A property bought for ₹12,00,000 must give a 12% annual return after monthly maintenance of ₹3,000. What should be the monthly rent?

  39. SSC CHSL • 2020

    Mohan offers to sell his article at a discount of 20%, but he marks his articles by increasing the price of each by 35%. What percentage would his gain be?

  40. SSC CHSL • 2025

    A car and a bus travel at speeds in the ratio of 5:3. The bus covers a distance of 360 km in 6 hours. What is the time taken by the car to cover the same distance?

  41. SSC CHSL • 2022

    In a school, students using school bus, bike and bicycle for transport are in the proportion 6 : 3 : 1. If the total strength of the school is 1200, find the number of students who use bicycle for transport. (Each student uses only one of the given 3 modes…

  42. SSC MTS • 2022

    The perimeter of an equilateral triangle is equal to the circumference of a circle. If each side of this equilateral triangle is 88cm long, then what will be the length of the diameter of the circle mentioned above?

  43. SSC CGL • 2022

    What is the smallest number that should be added to 4567 so that the sum is divisible by 7?

  44. SSC CHSL • 2021

    If △ABC, if ∠B = 90º, AB = 21 cm and BC = 20 cm, then (1 + sin A - cos A)/(1 + sin A + cos A) is equal to:

  45. SSC Selection Post • 2022

    A railway engine passes two bridges of length 400 m and 235 m in 100 seconds and 60 seconds, respectively. Four times the length of the railway engine (in m) is:

  46. SSC CGL • 2022

    On simple interest, a certain sum becomes Rs.59,200 in 6 years and Rs.72,000 in 10 years. If the rate of interest had been 2% more, then in how many years would the sum have become Rs.76000?

  47. SSC CGL • 2022

    Study the given pie-chart and answer the question that follows. The pie-chart represents the spending of a state on various sports during a particular year. [Image] How much percent more is spent on cricket than on tennis (correct up to 2 decimal places)?

  48. SSC GD • 2019

    The perimeter of a square and a circle are same. If the area of the circle is 2464 cm², then what will be the area of the square .

  49. SSC CGL • 2023

    If 405 : y :: y : 125, and y > 0, then find the value of y.

  50. SSC CGL • 2019

    If (5√5 x³– 81√3 y³) ÷ (√5 x – 3√3 y) = (Ax²+ By²+ Cxy) then the value of (6A + B – √15 C) is: