Quantitative Aptitude PYQ — Page 28

24,303 questions across SSC exams.

  1. SSC MTS • 2024

    The average age of a man and his son is 48 years. The ratio of their ages is 5 : 3. What is the son's age?

  2. SSC MTS • 2024

    Find the simple interest (in₹) on ₹940 for 3 years at 5% per annum.

  3. SSC MTS • 2026

    A sum of ₹1,500 is divided among A, B, and C in the ratio 2:3:5. Find each share.

  4. SSC CGL • 2016

    The value of 8(sin⁶θ + cos⁶θ) - 12(sin⁴θ + cos⁴θ) is equal to:

  5. SSC MTS • 2024

    Find the ratio in which tomatoes worth ₹45/kg can be mixed with tomatoes worth ₹60/kg, so that the mixture will be worth ₹54/kg.

  6. SSC MTS • 2023

    If A can do a work in 21 days and B can do the same work in 28 days. In how many days will they complete the work if they work on alternate days?

  7. SSC MTS • 2023

    A man buys 13 pens for a rupee. How many pens should he sell for a rupee to earn a profit of 30 percent?

  8. SSC MTS • 2026

    The average of 20 balls is 33. If the value of each ball is increased by 6, what will the new average be?

  9. SSC MTS • 2026

    M and N started a business with capital of Rs. 28,000 and Rs. 32,000. After 4 months, M withdrew Rs. 8,000 and N added Rs. 8,000. If at the end of the year, the profit was Rs. 54,000, find N’s share.

  10. SSC CGL • 2020

    Three man and 4 women can do a piece of work in 7 days, whereas 2 men and 1 women can do it in 14 days. Seven women will complete the same work in:

  11. SSC MTS • 2024

    Ram borrows a sum of ₹24,000 from his friend Soham on 31December 2021 on the condition that he will return the same after one year with simple interest at 18% per annum. However, Ram is able to return the money on 1August 2022. What amount does Ram have to…

  12. SSC MTS • 2023

    If the area of a square is 529 cm², then what is the length of its diagonal?

  13. SSC MTS • 2024

    Which of the following vehicles travelled at the same speed on both the days?

  14. SSC MTS • 2024

    The ratio of the present ages of Ram and Shyam is 3 : 4, and 4 years ago the ratio was 2 : 3. What will be the ratio of the ages of Ram and Shyam 4 years from now?

  15. SSC MTS • 2024

    A right circular cone of height h and radius R is cut by a plane parallel to the base at a distance h/4 from the base. The ratio of the curved surface areas of the resulting cone to the frustum is:

  16. SSC MTS • 2024

    A farmer mixes two varieties of rice, priced at ₹ 60 per kg and ₹ 30 per kg, in a ratio of 1 : 2. He sells the mixture for ₹ 3000, making a profit of 25%. Find the quantity of rice priced at ₹ 60 per kg in the mixture.

  17. SSC MTS • 2024

    The average score of boys in an examination in a school is 71 and that of the girls is 73. The average score of the school is 71.8. The ratio of the number of boys to that of the girls that appeared in the examination is:

  18. SSC MTS • 2024

    A cooperative society increases the annual rate of simple interest from 10% to 16½ %, then the yearly income of a person increases by ₹1,077.70. The simple interest (in₹) on the sum at 10% for four years will be:

  19. SSC CGL • 2016

    In a division sum, the divisor 'd' is 10 times the quotient 'q' and 5 times the remainder'r'. If r = 46, the dividend will be

  20. SSC MTS • 2026

    If the square of a number is increased by 56, the result is 225. Find the number.

  21. SSC MTS • 2024

    A tradesman marks his goods at 45% above the cost price but allows a discount of 20% at the time of sale. His gain is:

  22. SSC CGL • 2025

    Anil and Beena are friends, and the difference between their ages is 5 years. Anil’s father Dinesh is three times as old as Anil, and Beena is twice as old as her sister Charu. The ages of Dinesh and Charu differ by 45 years. If Beena is older than Anil…

  23. SSC MTS • 2024

    The average of 20 results is 15 and the average of other 25 results is 24. What is the average of all the results?

  24. SSC CGL • 2018

    M is the largest 4 digit number, which when divided by 4, 5, 6 and 7 leaves remainder as 2, 3, 4, and 5 respectively. What will be the remainder when M is divided by 9?

  25. SSC MTS • 2024

    The average weight of 40 athletes and 5 trainers is 72 kg. When six more athletes of average weight 65 kg are included in the group, what is the average weight (in kg) of the group? (Rounded off to 2 decimal places)

  26. SSC CGL • 2018

    Two numbers are 40% and 80% lesser than a third number. By how much percent is the second number to be enhanced to make it equal to the first number?

  27. SSC MTS • 2024

    Rahul sells an article at 8% above its cost price. If he had bought it at 5% less than what he had paid for it and sold it at ₹8 less, he would have gained 12%. Find the cost price of the article.

  28. SSC MTS • 2023

    Rimmi and Simmi can together finish a work in 40 days. They worked together for 30 days and then Simmi left. After another 30 days, Rimmi finished the remaining work alone. In how many days Rimmi alone can finish the work?

  29. SSC MTS • 2026

    (0.12 / 0.3) + (0.015 / 0.5) = ?

  30. SSC MTS • 2026

    A triangle has an area of 240 cm². If the base is increased by 20% and the corresponding height decreased by 10%, find the percentage change in the area.

  31. SSC MTS • 2023

    If the LCM of two numbers is 72 and their product is 1728, then what is the HCF of the numbers?

  32. SSC MTS • 2026

    73/5 + 62/5 - 31/5 - 54/5 = ?

  33. SSC CGL • 2020

    In how much time will the simple interest on a certain sum of money be 6/5 times of the sum at 20% per annum?

  34. SSC MTS • 2024

    For 8 innings, a cricketer has an average of 68 runs. In the ninth inning, he scores 220 runs. His average score increased by (rounded off to the nearest whole number):

  35. SSC MTS • 2024

    A tradesman marks his goods 30% more than the cost price. If he allows a discount of 61/4% , then his gain percentage is:

  36. SSC CGL • 2019

    The sides AB and AC of Δ ABC are produced to P and Q respectively. The bisectors of ∠CBP and ∠BCQ meet at R. If the measure of ∠A is 44°, then what is the measure of 1/2∠BRC ?

  37. SSC MTS • 2026

    The ratio of the number of students in Class A to Class B is 4:5. If 8 students are transferred from B to A, the ratio becomes 5:6. Find the original number of students in each class.

  38. SSC CGL • 2025

    The present ages of Sweeta and Suman are in the ratio 4 : 5, Six years back, the ratio of their ages was 2 : 3. what is the present age of Sweeta?

  39. SSC MTS • 2026

    412.58 + 23.415 + 64.007 = ?

  40. SSC MTS • 2024

    15 kg rice costing ₹60 per kg and 8 kg rice costing ₹55 per kg are mixed with 7 kg rice costing ₹40 per kg. Find the average per kg price of mixed rice.

  41. SSC CGL • 2023

    The ratio of the number of coins of 25 paise, 50 paise, Rs.2 and Rs.5 is 5 ∶ 4 ∶ 3 ∶ 1,respectively. If the total amount of the coins is Rs.285, then the difference between the number of 25 paise and Rs.5 coins is:

  42. SSC MTS • 2024

    When x is added to each of 2, 3, 30 and 35, then the numbers obtained in this order are in proportion. What is the second largest part in the proportion?

  43. SSC CGL • 2023

    A man can row 10 km/h in still water. When the river is running at a speed of 4.5 km/h, then it takes him 2 h to row to a place and comes back to the initial point. How far is the place (in km) (rounded off to two decimal places)?

  44. SSC MTS • 2024

    Aditya bought a mobile for ₹21,500 and sold it for ₹18,500. Find the loss percentage (up to two decimal places) in the complete process.

  45. SSC MTS • 2026

    A shopkeeper marks a mobile phone 30% above its cost price. During a festival sale, he offers two successive discounts of 10% and 5% on the marked price. If his cost price is Rs. 12000, find the selling price of the mobile phone and the profit earned.

  46. SSC CGL • 2019

    If 2 cos²θ + 3 sinθ = 3 where 0° θ θ + cos²θ + tan² 2θ + cosec² 2θ?

  47. SSC MTS • 2024

    A sum of ₹12,000 becomes double at simple interest in 7 years at a certain rate of simple interest. Find the time (in years) it takes for the amount to become ₹60,000 at the same rate of interest.

  48. SSC MTS • 2024

    A car’s radiator should contain a solution of 52% antifreeze. A motorist has 8 litres of 40% antifreeze. How many litres (rounded off to 2 decimal places) of 95% antifreeze liquid should he add to his solution to produce a 52% antifreeze?

  49. SSC MTS • 2024

    The salary of an employee is reduced by 80% and then the reduced salary is increased by 80%. The percentage loss in the salary of the employee is:

  50. SSC MTS • 2026

    The table given below shows the number of tenants in 6 towns. [Image] What are the total number of tenants in the given 6 towns?