Quantitative Aptitude PYQ — Page 169

24,303 questions across SSC exams.

  1. SSC Selection Post • 2022

    A plane in flight from Mumbai to Delhi covers a distance of 1728 km in 180 minutes. What is the speed of the plane (in m/sec)?

  2. SSC CGL • 2025

    If cot A = x+1over x , find cosec²A.

  3. SSC CHSL • 2023

    What is the ratio of the population doing government jobs in state E to the population doing government jobs in state A?

  4. SSC GD • 2025

    15 mangoes are bought for ₹250, and 9 mangoes are bought for ₹200. If all the mangoes are sold at ₹240 per dozen, then what is the profit percentage in the entire transaction (round up to two decimal places)?

  5. SSC CGL • 2020

    If the number 1005x4 is completely divisible by 8, then the smallest integer in place of x will be?

  6. SSC CGL • 2022

    Performance of 1800 students in grades has been shown in the following pie chart. How many students have got either grade D or grade E? [Image]

  7. SSC GD • 2026

    A, B and C together can complete a work in 8 days. A and B together can complete the same work in 10 days. C alone can complete (3/8) of the same work in how many days?

  8. SSC CHSL • 2025

    If a car reduces its speed by 10 km/h, it takes 1 hour more for a journey of 300 km. Find original speed.

  9. SSC CHSL • 2023

    If x² + y² = 29 and x - y = 3, then what is the value of 4xy?

  10. SSC CGL • 2025

    The number of triangles formed by diagonals from one vertex of an octagon is:

  11. SSC GD • 2019

    If 40% of a number is 105 more than the one-fourth of that number, then what will be the difference between the number and 35% of the number?

  12. SSC CGL • 2024

    The ratio between male and female members in a club is 2 : 3. If the number of male members is increased by 200, the ratio becomes 5 : 6. How many female members are there in the club?

  13. SSC CGL • 2022

    If one man or two women or four boys or five girls can finish a work in 39 days, thenhow many days will one man, one woman, one boy and one girl together take to finishthe same work?

  14. SSC GD • 2019

    What is the value of [Image] = ?

  15. SSC GD • 2023

    By selling a refrigerator for Rs.28,448, a shopkeeper makes a profit of 12%. If the profit is reduced to 8%, what is the new selling price of the refrigerator?

  16. SSC CHSL • 2025

    Two numbers are respectively 20% less and 30% more than a third number. What is the ratio of the two numbers?

  17. SSC GD • 2025

    Two cyclists, M and N, start from the same point on a 1500 m circular track, cycling in opposite directions. M cycles at 18 km/hr and N at 22 km/hr. How long (in seconds) will it take for them to meet?

  18. SSC CHSL • 2024

    In an election between two candidates, 10% of the registered voters did not cast their vote. The winning candidate got 60% of the total votes cast and defeated the other candidate by 1242 votes. Find the total number of registered voters.

  19. SSC GD • 2026

    R alone can do a work in 18 days. P alone can do the same work in 24 days. G alone can do the same work in 36 days. They started and completed the work together. They received Rs. 7200 for this work. What is the share (in Rs.) of P?

  20. SSC GD • 2025

    The average weight of Tushar, Salil and Mukund is 46 kg. If the average weight of Tushar and Salil be 40 kg and that of Salil and Mukund be 46 kg, then the weight of Salil (in kg) is:

  21. SSC GD • 2023

    A dishonest retailer sells his goods at a profit of 18% by weighing 800 g instead of 1 kg. Find his actual gain percentage.

  22. SSC CGL • 2025

    In a circle, angle subtended by chord AB at the center is 80°. What is the measure of angle ∠ ACB$, where C lies on the circle?

  23. SSC CGL • 2019

    To do a certain work, the ratio of the efficiencies of A, B and C is 7 : 5 : 6. Working together, they can complete the same work in 35 days. B and C work together for 21 days. The remaining work will be completed by A alone in:

  24. SSC GD • 2019

    Raj got a new chair at 35% discount. Had Raj got no discount, Raj would have had to pay Rs. 238 more. How much did Raj pay for the chair?

  25. SSC GD • 2023

    Amrit is thrice as good a workman as Bhagat. Therefore Amrit is able to finish a piece of work in 50 days less than Bhagat. The time (in days) in which they can finish it working together is:

  26. SSC CGL • 2023

    14 Persons can build a house in 60 days. How long will it take 30 persons to build the same house, provided that they all work at the same rate?

  27. SSC CHSL • 2023

    Study the given pie charts and answer the question that follows. The pie-charts show the details of graduate and post graduate students of the Universities A, B, C, D, E, F. [Image] If the total number of graduates across all universities is 24,800 and that…

  28. SSC CHSL • 2023

    In right angled triangle ABC, if ∠A = 30°, find the value of 3 sin A - 4 sin³ A.

  29. SSC CGL • 2025

    Two circles with radii r₁ = 7 cm and r₂ = 3 cm have their centres 20 cm apart. Find the length of the transverse common tangent between them.

  30. SSC CHSL • 2025

    A school had 120 students with an average age of 20 years. Later, a new batch of students joined. After their inclusion, the average age dropped to 19.5 years, even though the newcomers had an average age of 18 years. Find the number of students in the new…

  31. SSC CGL • 2019

    A sum of Rs 8400 amounts to Rs 11046 at 8.75% p.a. simple interest in certain time. What is the simple interest on the sum of Rs 9600 at the same rate for the same time?

  32. SSC Selection Post • 2022

    Find the sum of the first 149 terms of an AP whose first term and third term are 180 and 190, respectively.

  33. SSC Selection Post • 2023

    In an election, 15% of the voters on the voters list did not cast their votes, and 100 voters cast their ballot paper blank. There were only two candidates, Ram and Shyam. The winner, Ram, was supported by 69% of all the voters in the list, and he got 630…

  34. SSC MTS • 2022

    Find the average of the first fifteen multiples of 11.

  35. SSC CGL • 2024

    Find the value of bigg[ 4cos(90-θ)sin³(90+θ)-4sin(90+θ)cos³(90-θ) over cos(180+8θover2) bigg] .

  36. SSC CHSL • 2023

    A moneylender lent 30,000 in two parts, one at the rate of 8% and the other at 9%. If the total annual simple interest on the amount is 2,650, then what is the amount of money lent at the rate of 8%?

  37. SSC MTS • 2022

    The lengths of the parallel sides of a trapezium are 10 cm and 20 cm. If the distance between these parallel lines is 5 cm, then what is the area of the trapezium?

  38. SSC CGL • 2024

    The length, breadth and height of a room is 15 m, 9 m and 5 m, respectively. From each can of paint 40 square metre of area is painted. How many cans of paint will be needed to paint only the walls of the room?

  39. SSC GD • 2019

    By selling 20 metres of cloth, a man gains the selling price of 4 metres of cloth. The gain percent is :

  40. SSC GD • 2025

    A can do a piece of work in 32 days and B in 48 days. They work together for 8 days and then A goes away. In how much time (in days) will B finish the 60% of the remaining work?

  41. SSC GD • 2024

    The LCM of two numbers is 147, and their HCF is 7. If one number is 21, find the other number.

  42. SSC CHSL • 2024

    The population of a village was 4,00,000. It increased by 20% in the first year and increased by 30% in the second year. Its population after two years is ___.

  43. SSC Selection Post • 2024

    The value of cosecθ[1+cosθ over sinθ ​ +sinθ over 1+cosθ ]-2cot²θ is equal to :

  44. SSC CGL • 2022

    A man, a woman and a boy can complete a work in 3, 4 and 12 days, respectively. How many boys must assist one man and one woman to complete the same work in one day?

  45. SSC GD • 2025

    A, B and C can do a piece of work in 22 days, 24 days and 33 days, respectively. In how many days will the work be finished if, A works on the 1st day, C works on the 2nd day, B works on the 3rd day, A works on the 4th day and so on?

  46. SSC Selection Post • 2019

    The average of fourteen numbers is 46. The average of first five is 43 and that of last six numbers is 49.5. The sixth and seventh numbers are respectively 4 and 8 greater than the eighth mumber. What is the average of sixth and seventh numbers?

  47. SSC CGL • 2020

    In the figure, PA Is a tangent from an external point P to the circle with centre O. If ∠POB = 110ᵒ, then the measure of ∠APO is: [Image]

  48. SSC CGL • 2025

    A ring-shaped metallic sheet has outer and inner radii 14 cm and 7 cm. What percentage of the full circle's area is the ring?

  49. SSC CGL • 2022

    The monthly salary of a person was Rs. 160000. He used to spend on three heads--- Personal and family expenses (P), Taxes (T) and Education load (E). The rest were his savings. P was 50% of the income, E was 20% of P, and T was 15% of E. When his salary got…

  50. SSC CGL • 2021

    If 5 sin² θ - 4 cos θ - 4 = 0, 0º θ θ + cosec θ ) is: