Quantitative Aptitude PYQ — Page 109

24,303 questions across SSC exams.

  1. SSC Selection Post • 2025

    If a² +b² +c² = 20 and ab + bc + ca = 10 , then the value of (a + b + c)² is:

  2. SSC GD • 2024

    If interest is being compounded annually. then what sum will amount to Rs. 9464 in 2 years at the rate of 30 percent per annual at compound interest?

  3. SSC GD • 2024

    B alone can complete half of a work in 150 days. In 30 days what percentage of the work will be completed by B?

  4. SSC GD • 2025

    If 2% of x = 336, then x is equal to:

  5. SSC Selection Post • 2025

    Compute the Karl Pearson Coefficient of Skewness for the data given here 27, 3, 28, 40, 28, 30, 35, 27, 25, 27?

  6. SSC GD • 2023

    Calculate the area of a rhombus with diagonals of 7 cm and 6 cm.

  7. SSC GD • 2024

    Rs. 7200 is divided among P, Q, and R in the ratio of 1/2 : 4 : 3/2 respectively. What is the share of R?

  8. SSC GD • 2023

    A, B, and C start running simultaneously, starting from a point, around a circular track of length 900m, with respective speeds of 3m/s, 5m/s, and 6m/s. A and B run in the same direction while C runs in the opposite direction of the other two. After how much…

  9. SSC GD • 2025

    The LCM of two numbers is 126 times their HCF. If their HCF is 7 and the difference between the two numbers is five times the HCF, then the product of the two numbers is:

  10. SSC GD • 2023

    The distance ‘d’ a moving body travels, varies directly with time ‘t’. When a train travels 120 miles in 3 h, then how many miles would it travel in 8 h?

  11. SSC GD • 2026

    What is the Least Common Multiple of all prime numbers between 5 and 12?

  12. SSC GD • 2025

    Mandar has two grandsons Ketan and Tushar. 11 year old Ketan gets some money from Mandar’s wealth and 12 year old Tushar gets rest of the money. But Ketan and Tushar will get money only when they turn 22 years old. Till then the money is in a bank getting…

  13. SSC GD • 2025

    The average weight of 27 students of a class is 53 kg. If the weight of the teacher is included, the average rises by 700 grams. Find the weight (in kg) of the teacher.

  14. SSC GD • 2024

    The marked price of a chair is 20 percent more than its cost price. If the chair is sold for Rs. 220 after a discount of Rs. 20, then what will be the profit percentage?

  15. SSC Selection Post • 2025

    A quadrilateral ABCD is inscribed around a circle. If AB=10 cm, BC=12 cm, and the perimeter of the quadrilateral is 40 cm, what is the length of side CD?

  16. SSC GD • 2023

    A and B can complete a work in 18 days and 36 days, respectively. They work together for 8 days, and then A leaves. How many days will it take B to complete the rest of the work?

  17. SSC GD • 2024

    What is the profit percentage in selling an article at a discount of 30% which was earlier being sold at a 45% profit?

  18. SSC GD • 2023

    A and B can complete a work in 18 days and 36 days respectively. They work together for 8 days and then A leaves. How many days will B take to complete the rest of the work?

  19. SSC GD • 2026

    Cost price of an article is Rs. 480. The profit percentage is 10 percent. What is the value of profit?

  20. SSC Selection Post • 2025

    Which of the following relationship between the sets of integers, rational numbers, and real numbers holds good?

  21. SSC GD • 2023

    If the surface area of a sphere S₁ is 800% greater than that of sphere S₂, and the volume of sphere S₂ is x% lower than sphere S₁, then ‘x’ in terms of percentage is: (Rounded off to two places of decimals.)

  22. SSC GD • 2024

    If P percent of P is 225, then what is the value of p²?

  23. SSC GD • 2023

    An amount of ₹10,000 becomes ₹12,100 in 2 years at a certain interest rate compounded annually. Find the amount after 4 years.

  24. SSC CGL • 2018

    What is the value of [(cos 3θ + 2cos 5θ + cos 7θ) ÷ (cos θ + 2cos 3θ + cos 5θ)] + sin 2θ tan 3θ?

  25. SSC GD • 2025

    A pipe can fill a water tank in 36 minutes, and another can fill it in 48 minutes, but a third pipe can empty it in 18 minutes. The first two pipes are kept open for 16 minutes at the beginning, and then the third pipe is also opened. How long does it take…

  26. SSC CGL • 2022

    In △ABC, M is the midpoint of the sides AB. N is a point of △ABC such that CN is the bisector of ∠C and CN Ʇ NB. What is the length (in cm) of MN, if BC = 10 cm and AC = 15 cm?

  27. SSC GD • 2025

    Veer has ₹1224 with him. He divided it amongst his sons Nitin and Pravin and asked them to invest it at 4% rate of interest compounded annually. It was seen that Nitin and Pravin got same amount after 19 and 20 years respectively. How much (in ₹) did Veer…

  28. SSC GD • 2023

    A seller professes to sell his grapes at cost but still gains (100/9)​% by using faulty weight . What weight does he use instead of 1 kg?

  29. SSC CGL • 2025

    If the radius of a cylinder is halved, what happens to its volume (assuming height remains constant)?

  30. SSC GD • 2023

    A train travels from Delhi to Dehradun at the speed of 120 km/h and from Dehradun to Delhi at the speed of 130 km/h. What is the average speed during the whole journey?

  31. SSC GD • 2023

    In a triangle, if the longest side has a length of 15 cm, one of another side a length of 12 cm, and its perimeter is 34 cm, then the area of the triangles in cm² is:

  32. SSC CGL • 2018

    What is the value of (4/3) cot² (π/6) + 3 cos² (150°) - 4 cosec² 45° + 8 sin (π/2) ?

  33. SSC GD • 2023

    What is the HCF of 4over5 , 8over15 , 2over35 ?

  34. SSC Selection Post • 2025

    There are two circles with radii of 5 cm and 3 cm are positioned so that they touch each other internally. What is the distance between their centers?

  35. SSC GD • 2023

    Ratnesh purchased a bike for Rs.64,000 and sold it for Rs.60,000. What is the percentage loss faced by Ratnesh?

  36. SSC CGL • 2018

    If tan θ + sec θ = (x – 2)/(x + 2), then what is the value of cos θ?

  37. SSC GD • 2023

    Sakshi and Komal together can complete a work in 10 days. Komal can complete the same work in 22 days. They started working together but Sakshi left the work after 3 days and Komal completed the remaining work alone. Find the total number of days in which…

  38. SSC GD • 2023

    A walks at 4 km/h and 5 hours after his start, B cycles after him at 10 km/h. How far from the start does B catch up with A?

  39. SSC GD • 2023

    A number ‘y’ when divided by 225 leaves 33 as the remainder. The same number when divided by 15 leaves ‘z’ as the remainder. The value of z is:

  40. SSC GD • 2025

    The average age of 39 students of a class is 39 years. If the age of the teacher is also included, the average age of the whole group becomes 40 years. The age (in years) of the teacher is:

  41. SSC CGL • 2020

    The base of a solid right prism of height 10 cm is a square and its volume is 160 cm³. What is its total surface area of the prism (in cm²)?

  42. SSC GD • 2023

    In a circular race of 625 m, A and B start from the same point, at the same time, and speeds of 90 km/h and 72 km/h, respectively. After how much time will they meet again for the first time on the track if they are running in the same direction?

  43. SSC GD • 2024

    Aman can do a work in 28 days. What part of the total work can be done by Aman in 8 days?

  44. SSC GD • 2025

    The LCM of 51, 18, 432 and 144 is:

  45. SSC GD • 2023

    Find the compound interest, compounding annually on ₹22,500 in 2 years, if the rate of interest is 5% for the first year, and 8% for the second year

  46. SSC Selection Post • 2025

    Six cubes, each with an of edge 4.5 cm are joined end to end. Find the total surface area of the resulting cuboid.

  47. SSC Selection Post • 2025

    A student is standing, reading an article 25 meters away from his school building. If the angle of elevation of the top of the school building is 60 degrees, how tall is the school building (approx.)?

  48. SSC Selection Post • 2025

    A triangle has angles A = 50°, B = 60°, and side AB = 10 cm. Which angle lies between the given sides?

  49. SSC GD • 2026

    50 percent of 450 eggs are rotten. How many eggs are NOT rotten?

  50. SSC Selection Post • 2025

    Two circles with radii 10 cm and 6 cm have their centers 20 cm apart. What is the approximate length of their common external tangent?