SarkariPYQ

Quantitative Aptitude PYQ — Page 24

24,303 questions across SSC exams.

  1. SSC MTS • 2026

    2[(425)² + (375)²] - (425 + 375)² = ?

  2. SSC MTS • 2026

    A number is split into two unequal parts. The difference of the squares of the two parts is 84 times the difference of the two parts. What is the number?

  3. SSC MTS • 2024

    How long (in months) will it take a sum of money invested at 5% per annum on simple interest to increase its value by 22.5%?

  4. SSC MTS • 2024

    The management batch of a college has two sections, A and B. Section A has 22 students and their average marks are 75, whereas section B has 30 students and their average marks are 60. What are the average marks of the whole batch? (Round off to two decimal…

  5. SSC MTS • 2024

    The average weight of 16 containers is 80 kg. If 8 new containers are added, the new average increases by 2.5 kg. The average weight of the 8 new containers is:

  6. SSC MTS • 2024

    P sold an article to Q at 11% profit and Q sold it to R at 11% loss. If R paid ₹19,758 for it, then at what price (in ₹) was the article purchased by P?

  7. SSC MTS • 2024

    20 identical solid hemispheres of radius 3 cm are melted to form a big solid hemisphere. What is the radius (in cm) of the biggest hemisphere formed, if 20% of the solid is wasted during the process?

  8. SSC MTS • 2026

    Which of the following is the largest?

  9. SSC CHSL • 2024

    If an increase of 40% is observed on an amount in 4 years at simple interest, what will be the compound interest on ₹ 80,000 after 4 years at the same rate of interest?

  10. SSC MTS • 2024

    The average age of a group of 32 women is 60 years and that of another group of 40 men is 33 years. The average age of the two groups mixed together is:

  11. SSC MTS • 2023

    What will be the compound interest accrued on a sum of Rs.64000 at the rate of 5% per annum in 2 years compounded annually?

  12. SSC MTS • 2024

    Kumar took a loan from a bank at the rate of 9.5% per annum at simple interest. After 6 years he had to pay ₹3,705 as interest only for the period. The principal amount borrowed by him was:

  13. SSC CGL • 2019

    If [Image] , then what will be the value of [Image] _,correct to one decimal place.

  14. SSC MTS • 2024

    The average weight of a certain number of students in a group was 72 kg. If 11 students, with an average weight of 76 kg each, leave the group, and 5 students, each with an average weight of 79 kg, join the group, the average weight of the students in the…

  15. SSC CGL • 2025

    ABCD is a quadrilateral in which diagonal BD = 70 cm, AL ⊥ BD and CM ⊥ BD such that AL = 18 cm and CM = 20 Find the area (in cm²) of the quadrilateral ABCD.

  16. SSC MTS • 2026

    Arrange the following values in ascending order. 17/4, 41/3, 41/2, 19/4

  17. SSC MTS • 2026

    A shopkeeper purchases a watch at a cost price of Rs 8000. He marks it 50% above the cost price and offers a discount of 20% on the marked price. Find his profit or loss on the transaction.

  18. SSC MTS • 2023

    What will be the volume of a sphere with a radius of 65 cm? (approximately)

  19. SSC CGL • 2023

    Products pass successively through the hands of three traders and each of them sells his goods at a profit of 30% of his cost price. If the last trader sold the products for Rs.300, then how much did the first trader pay for them?

  20. SSC MTS • 2024

    Simple interest on a given sum for 3 years at a rate of 17% per year is ₹7,140 less than the simple interest on the same sum for 5 years. Find the sum.

  21. SSC CGL • 2025

    Let A and B be two players who are playing the game to hit the target. The probabilities of hitting the target by A and B is 2/3 and 3/4 , respectively. What is the probability that exactly one of them hit the target?

  22. SSC MTS • 2024

    Raman purchased an iron at a cost of ₹2,400 and sold it to Rohan at a loss of 8%. Rohan sold it to Soham at a gain of 12.5%. At what price should Soham sell the iron to gain 15%?

  23. SSC MTS • 2026

    Which of the following number is divisible by 11?

  24. SSC MTS • 2026

    A lender lends Rs. 10,000 at 8% per annum simple interest for t years and then lends an additional Rs. 5,000 at 12% per annum simple interest for the same period t. If the total simple interest at the end of t years is 5,400, find t (in years).

  25. SSC CGL • 2018

    Which of the following statement(s) is/are TRUE? I. 1⁹⁹ + 2⁹⁹ + 3⁹⁹ + 4⁹⁹ + 5⁹⁹ is exactly divisible by 5 II. 31¹¹ > 17¹⁴

  26. SSC MTS • 2026

    The square root of the sum of squares of two numbers is 25. If one number is 15, find the other number.

  27. SSC CGL • 2019

    If x + y + z = 2, xy + yz + xz = -11, and xyz = -12, then what is the value of _([Image])?

  28. SSC MTS • 2024

    The average weight of 30 male workers in a company is 62.5 kg and that of the remaining 20 female workers is 54.5 kg. The average weight of the total workers in the company is:

  29. SSC MTS • 2024

    At what rate percent per annum on simple interest will ₹760 amount to ₹912 in 5 years?

  30. SSC MTS • 2024

    The average score of 12 girls in a test was 16.5 and that of 18 boys in the same test was 16. The average score of girls and boys taken together in the same test was:

  31. SSC MTS • 2024

    A spherical metal ball is melted into a shape of cylinder mounted by a cone such that the base of cone exactly overlaps the top base of cylinder. The diameter of the cylinder and sphere is 4.2 m each. What is the height (in m) of the cone if the height of…

  32. SSC CGL • 2016

    An aeroplane flying horizontally at a height of 3 Km. above the ground is observed at a certain point on earth to subtend an angle of 60°. After 15 sec flight, its angle of elevation is changed to 30°. The speed of the aeroplane (taking √3 = 1.732) is

  33. SSC MTS • 2024

    A shopkeeper sold the Refrigerator and the Geyser set together for ₹30,400, thereby making a profit of 25% on the Refrigerator and 10% on the Geyser. By selling them together for ₹30,700, he would have made a 10% profit on the Refrigerator and 25% on the…

  34. SSC MTS • 2026

    If 20a + 20b = 160, then what is the average of a and b?

  35. SSC MTS • 2026

    A container holds a mixture of grape juice and water. The ratio of grape juice to water is initially 5:2. If 15 litres of pure grape juice is added to the mixture, the new ratio of grape juice to water becomes 8:3. What was the initial total volume of the…

  36. SSC MTS • 2024

    The money invested by Gopal at simple interest amounts to ₹16,150 in 3 years and to ₹16,540 in 4 years. What was the principal amount invested by him?

  37. SSC MTS • 2026

    Find the approximate value of: (169.89 × 101.96)/(16.93 × 33.98) + (198.11 × 120.87)/(32.89 × √(35.97)) = ?

  38. SSC CGL • 2026

    The base of a right pyramid is an equilateral triangle with side of 10 cm, and its vertical height is 24 cm. Find the volume (in cm³) of the pyramid.

  39. SSC CHSL • 2024

    If a transversal intersects two parallel lines, and the difference between two interior angles on the same side of the transversal is 40°, then find the smallest angle among the interior angles.

  40. SSC MTS • 2026

    If a = 6 + √5 and b = 6 − √5, what is the value of a² + b²?

  41. SSC MTS • 2024

    If the average of 53 consecutive even numbers is 1280. Find the difference between the smallest and the largest number.

  42. SSC MTS • 2023

    What is the compound interest on Rs. 10000 in 1 year 6 month at 10% per annum, the interest being compounded half-yearly?

  43. SSC MTS • 2024

    A hemispherical container of total surface area 7392 cm² is filled with oil. However, 1/4 of the container is empty. This oil is to be transferred in small hemispherical bottles having radius of 6.3 cm. How many bottles will be required (rounded off to the…

  44. SSC MTS • 2024

    What sum of money, when lent at 6% interest for 4 years, will earn interest equal to the interest on ₹800 at 41over2 % in 5 years?

  45. SSC MTS • 2026

    A square tank holds 15,000 litres of water. If its depth is 2.5 m, find the length of one side of its base.

  46. SSC MTS • 2024

    Refer the following data table and answer the question. [Table] If 750 calories are burnt by jogging 6 km, how many calories were burnt in the given week?

  47. SSC MTS • 2026

    (395 + 195)² - 4 × 395 × 195 = ?

  48. SSC MTS • 2024

    A sum of money at simple interest amounts to ₹2,500 in three years and ₹3,000 in five years. What is the rate of interest (correct up to two decimal places)?

  49. SSC MTS • 2026

    Find the approximate value of: (1.81²+⁴√(624.93))/(³√(729.07))+(9.82+√(63.91))=?

  50. SSC MTS • 2023

    P sells a toy to Q at a profit of 40 percent and Q sells it to R at a profit of 10 percent. If R pays Rs. 539 for the toy, then what was the cost price of the toy for P?