Quantitative Aptitude PYQ — Page 294

24,303 questions across SSC exams.

  1. SSC CGL • 2023

    If (21 cos A + 3 sin A)/(3 cos A + 4 sin A)=2 , then find the value of cot A.

  2. SSC CPO • 2025

    If we subtract 5a – 7ab + 3b + 10 from 14a – 9ab + 8b – 3, then the answer is:

  3. SSC CGL • 2022

    Performance of 1800 students in grades has been shown in the following pie chart. The number of students getting grade B is what percentage of the number of students getting grade A? [Image]

  4. SSC CGL • 2023

    A dealer marks his goods at 20% above the cost price and allows a discount of 15% on the marked price. What is his gain or loss percentage?

  5. SSC CHSL • 2025

    The average of 20 numbers is 45. If each number is decreased by 7, what will be the new average?

  6. SSC CHSL • 2024

    In how much time (in years) will ₹7,200 amount to ₹8,928 at simple interest at the rate of 8% per annum?

  7. SSC CGL • 2021

    If the nine -digit number 7p5964q28 is completely divisible by 88 , What is the value of (p² - q), for the largest value of q, where p and q are natural number?

  8. SSC Selection Post • 2024

    The price of a bike is first increased by 21% and later on, it is decreased by 34% due to reduction in sales. Find the net percentage change in the final price of the bike.

  9. SSC CHSL • 2023

    Find the third proportional of 25 and 45.

  10. SSC CGL • 2020

    If (secθ + tanθ)/(secθ - tanθ) = 2 51/79 , then the value of sinθ is equal to:

  11. SSC CGL • 2021

    Simplify the following expression: 6 ÷ 4 of 3 - 4 ÷ 6 × (13 - 10) - 2 × 15 ÷ 6 × 6

  12. SSC CGL • 2021

    The ratio of monthly incomes of A and B is 4 : 5 and that of their monthly expenditures is 3 : 8. If the income of A is equal to the expenditure of B, then what is the ratio of savings of A and B?

  13. SSC CHSL • 2019

    In which year the percentage increase in total number of passed students is the lowest in comparison to its previous academic year?

  14. SSC Selection Post • 2022

    The least value of cos θ sin θ is:

  15. SSC CGL • 2025

    A milk vendor mixes water with pure milk. If he sells the mixture at the cost price of pure milk and makes a profit of 25%, what is the ratio of water to pure milk in the mixture?

  16. SSC CGL • 2025

    A large regular polygon is made by combining 6 regular hexagons around a common center. What is the ratio of area of the combined shape to one hexagon?

  17. SSC GD • 2021

    There is 70% increase in an amount in 7 years at simple interest. What will be the compound interest on ₹8000 after 3 years at the same rate of interest?

  18. SSC MTS • 2022

    What is the value of 14(2/7) of 301 + 12.5% of 184?

  19. SSC CHSL • 2023

    If sin 2 θ = √3/2, then what is the value of tan θ ?

  20. SSC CGL • 2019

    A sector is cut out from a circle of diameter 42 cm. If the angle of the sector is 150°, then its area (in cm²) is: (Take π = 22/7)

  21. SSC CGL • 2023

    An airplane travels five times as fast as a bus. If the bus covers 60 km in 80 minutes, then what distance (in km) will the airplane cover in 25 minutes?

  22. SSC Selection Post • 2022

    The following pie-chart represents a total expenditure of 2,28,000 on different items in constructing a house in a town. [Image] What is the total expenditure done on Steel, Cement and Tiles?

  23. SSC Selection Post • 2024

    If x + y = 10 and xy = 12, find the value of x²- xy + y² .

  24. SSC MTS • 2022

    A, B, and C together can do a piece of work in 6 days. A and B together can do the same work in 12 days. B alone can do the same work in 18 days. In how many days can A and C together do the same work?

  25. SSC CHSL • 2025

    Three friends start a mobile app company. Arjun invests 1,20,000, Beena invests 90,000, and Charu invests 1,50,000. After one year, they earn a profit of 72,000. What will Beena’s share of the profit be?

  26. SSC CHSL • 2024

    If 6, 18, and x are sides of a triangle and x is an integer, then the number of possible values of x is:

  27. SSC CHSL • 2021

    If tan A = 1.1/6 , then what is the value of (4cos A - 7sin A)? Given that A is an acute angle.

  28. SSC Selection Post • 2020

    The following pie chart shows the percentage quantity of fruits at two fruit shops A and B. [Image] If the price of apple is ₹50 per kg and that of orange is ₹25 per kg, then what is the ratio of their costs at shop A?

  29. SSC CHSL • 2022

    A bus goes to Mumbai from Delhi at the speed of 60 km/h for 60% of the journey, and covers the remaining part of its journey at the speed of 70 km/h. What is the average speed of the bus (in km/h) during the entire journey under consideration?

  30. SSC Selection Post • 2022

    The current population of a village is 1000 and its population is increasing at the rate of 10% every year. What will be the population of the village after three years?

  31. SSC CGL • 2023

    An arc of length 23.1 cm subtends an 18° angle at the centre. What is the area of the circle? [Use π = 22/7]

  32. SSC Selection Post • 2022

    A saves 35% of his income. His income is increased by 20.1% and expenditure is increased by 25%. By what percentage does his savings increase or decrease?

  33. SSC MTS • 2022

    The average mark of a student in 10 papers is 80. If the highest and the lowest scores are not considered, the average is 81. If his highest score is 92, find the lowest score.

  34. SSC CGL • 2022

    The compound interest on a certain sum of money at 21% p.a. for 2 years is Rs 11,138.40(interest compounded yearly). The total amount received (in Rs) after 2 years is:

  35. SSC CGL • 2023

    If m∠C = m∠Z and AC = XZ, then which of the following conditions is necessary for ΔABC and ΔXYZ to be congruent?

  36. SSC CGL • 2022

    Ruchi, Khushi and Teju can do a piece of work in 30, 40 and 60 days respectively. In how many days can Ruchi do the work, if she is assisted by both Khushi and Teju on every third day?

  37. SSC Selection Post • 2023

    Which of the following numbers will completely divide (6⁶¹ + 6⁶² + 6⁶³ + 6⁶⁴) ?

  38. SSC CHSL • 2019

    If x + y + z = 2, xy + yz + zx = -11, then the value of x³+y³+z³-3xyz is:

  39. SSC CGL • 2025

    A clothing store sold three dresses, D1, D2, and D3, whose selling prices were in the ratio 3:4:5. They made a profit of 20% on D1, a loss of 10% on D2, and a profit of 20% on D3. What was the total profit percentage for the entire sale?

  40. SSC CGL • 2016

    The diameter of a sphere is twice the diameter of another sphere, The surface area ofthefirst sphere is equal to the volume of the second sphere, The magnitude of the radius ofthefirst sphereis

  41. SSC Selection Post • 2022

    The ratio of the number of animals in zoo A to the number of animals in zoo B is 6 : 5. If zoo B has 65 animals in the begginning, how many animals must be transferred from zoo A to B so that the ratio of animals in zoo A and zoo B becomes 6 : 7?

  42. SSC CGL • 2023

    Simplify: [0.08 - (3.5 - 4.9 - {12.5 - 7.8 - 4.6)}]

  43. SSC CHSL • 2025

    In a biochip, DNA sensors are arranged in a regular pentagon. Find the measure of each interior angle.

  44. SSC CHSL • 2025

    In a partnership, the capital ratio between A and B is 5:7. If A invested Rs 50,000, how much did B invest?

  45. SSC GD • 2021

    The population of a town at the start of a year was 850000. In the first year, there was a growth in the population at a rate of 12 per thousand, and in the next year, there was a decrease in the population at a rate of 1%. The population at the end of two…

  46. SSC MTS • 2022

    The value of 0.1 × 99% of 100 + 15 ÷ 0.3 × 1.1 is

  47. SSC CGL • 2025

    A triangle has sides 8 cm and 10 cm, and the angle between them is 120°. What is its area?

  48. SSC CGL • 2022

    Find the value of the following expression: 5 - 35 ÷ 5 × 15 + 5over 12 - 2

  49. SSC CGL • 2019

    What is the value of x so that the seven digit number 5656x52 is divisible by 72?

  50. SSC CGL • 2024

    Find the measure of the central angle of a sector if its area is 16π and the radius is 8.