Quantitative Aptitude PYQ — Page 282

24,303 questions across SSC exams.

  1. SSC Selection Post • 2020

    Four years ago, the ratio of the ages of A and B was 9 : 13. Eight years hence, the ratio of the ages of A and B will be 3 : 4. What will be the ratio of their ages 4 years hence?

  2. SSC CGL • 2023

    7.5 × 17.2 ÷ 8.6 +(59.5) of 1/17-7/2 of 5=?

  3. SSC CGL • 2024

    A manufacturer announces a trade discount of 30% on his products for his dealers. One of the dealers purchased 6 smart phones manufactured by the company at the rate of Rs.25,000 each. What is the amount of trade discount?

  4. SSC CGL • 2025

    A high-end watch is initially marked up by 50% above its cost price. During a sale, it is offered at a discount of 20% on its marked price. However a special customer receives an additional discount of y% on the discounted price, bringing the final selling…

  5. SSC CGL • 2025

    A conical bucket is cut at one-third its height from the top. What is the ratio of the volumes of the two parts (top part to bottom part)?

  6. SSC CHSL • 2023

    A deposited ₹1,56,250 at 8% simple interest for 2 years. How much more money will A have in his account at the end of two years if, at the same rate of interest, the sum is invested in compound interest, compounded annually?

  7. SSC CGL • 2024

    Let ABC be a triangle. If the mid-points of AB, BC and AC are D, E and F, respectively, then ∆DEF is NOT congruent to _.

  8. SSC CGL • 2018

    15% discount is offered on a shirt marked at Rs 1200. But the shirt is sold at Rs 918 after giving a further cash discount. How much is this cash discount (in %)?

  9. SSC CGL • 2020

    The cost price of goods, for a shopkeeper, was X. He marked them at 15% above the cost price. Finally, he sold the goods at a discount of 25% what is his profit/loss percentage?

  10. SSC CGL • 2022

    If the number 48k 2048 p 6 is divisible by 99, then (k × p) is equal to:

  11. SSC GD • 2019

    Study the Table Properly and answer by interpreting the data The table shows the percentage population of five districts in a state below poverty line and the proportion of males and females. [Table] If the total population in the district D3 is 40,000, then…

  12. SSC MTS • 2022

    Find the smallest natural number 'x' that must be subtracted from 1800 so that (1800- x), when divided by 7, 11 and 23, will leave 5 as the remainder in each case.

  13. SSC GD • 2019

    If X/3 = Y/5 = Z/9 , then what is the ratio of X : Y : Z ?

  14. SSC CGL • 2025

    A cone has height h and radius r. The cone is melted and recast into a smaller cone whose height is h/2 and radius is r/3 . What fraction of the original volume is unused?

  15. SSC CHSL • 2024

    If α + β = 45^° and (tan α + 1) (tan β + 1) = 2x , then x is

  16. SSC CGL • 2022

    Select the correct algebraic expression.

  17. SSC CHSL • 2020

    Two circles of radii 20 cm and 5 cm, respectively, touch each other externally at the point P. AB is the direct common tangent of those two circles of centres R and S, respectively. The length of AB is equal

  18. SSC MTS • 2022

    If A = (3/2) + (4/7) of (14/12) and B = (5/12) of (7/15) × (36/21), then what is the value of A + B?

  19. SSC CGL • 2025

    A machine can fill 120 milk bottles in 6 minutes. How many milk bottles can it fill in 14 minutes?

  20. SSC GD • 2019

    A person has planned to sell his old type writer for Rs.4500, he would lose 10%. To gain 20% of profit, he should sell it for :

  21. SSC CHSL • 2023

    Deepak starts a business with a capital of ₹1,60,000. He incurs a loss of 10% during the first year. But he makes a profit of 5% during the second year on his remaining investment. Finally, he makes a profit of 25% on his new capital during the third year…

  22. SSC CHSL • 2023

    If a + b = 10 and a² + b² = 58, find the value of ab.

  23. SSC CGL • 2019

    Find the value of [Image]

  24. SSC CGL • 2022

    In the following figure, P and Q are centres of two circles. The circles are intersecting at points A and B. PA produced on bot the sides meets the circles at C and D. If ∠CPB = 100°, then find the value of x. [Image]

  25. SSC CGL • 2021

    Pipes A and B can fill a tank in 12 hours and 16 hours respectively and pipe C can empty the full tank in 24 hours. All three pipes are opened toghether, but after 4 hours pipe B is closed. In how many hours, the empty tank will be completely filled?

  26. SSC MTS • 2022

    David purchased an item and marked his price up by 10%. He sold the same item by giving a discount of 5% and he made a profit ₹ 12.87. What is the actual cost price of the item?

  27. SSC CGL • 2020

    In the given figure, AP bisects ∠BAC. If AB = 4 cm, AC = 6 cm and BP = 3 cm, then the length of CP is: [Image]

  28. SSC Selection Post • 2023

    If the cost price is 66% of the selling price, then what is the profit percentage (correct to 2 decimal places)?

  29. SSC CGL • 2025

    A certain amount grows to ₹6000 in 2 years and ₹7200 in 4 years. Find the interest rate (simple interest).

  30. SSC CHSL • 2024

    An iron box with external dimensions 60 cm, 40 cm, and 20 cm is made of 1 cm thick sheet. If 1 cm³ of iron weighs 50 gm, the weight of the empty box is:

  31. SSC MTS • 2022

    A shopkeeper was offering two successive discounts of 20% and 15% on an item whose marked price is ₹1,000, while another shopkeeper was offering a flat 33% discount on the same item. Find the positive difference in the nominal amounts of discounts given by…

  32. SSC Selection Post • 2024

    In a triangle ABC, P is the midpoint of BC. If AB = (2x + 4) cm, AC = 6 cm and AP⊥ BC, then the value of x is:

  33. SSC CGL • 2025

    An electronics dealer marks an item 60% above cost and offers a festival discount of 25%, plus a cashback of Rs. 300 on the final selling price. If he still makes a 10% profit, what is the cost price?

  34. SSC CGL • 2022

    If a² + b² + c² = 6.25 and (ab + bc + ca) = 0.52, What is the value of (a + b + c) ?

  35. SSC CHSL • 2021

    In Δ PQR, ∠ PQR = 135°, PQ = 8√2 cm and PR = 17 cm. What is the length (in cm) of QR?

  36. SSC CGL • 2023

    A can complete a work in 9 days and B in 12 days. If they work together on it for 5 days, then the fraction of the work left is:

  37. SSC CHSL • 2022

    While travelling from Nashik to Daman, Harsh drove for 1 hour at a speed of 50 km/h and for the next three hours at 60 km/h. What was his average speed for the whole trip?

  38. SSC CGL • 2020

    The value of [tan²θ - sin²θ]/[2 + tan²θ + cot²θ] is :

  39. SSC GD • 2021

    If x : y = 5 : 2, then what is (8x - 9y) : (14x - 13y)?

  40. SSC CHSL • 2025

    A pyramid-shaped tent has a square base with a side of 10 m and a slant height of 6 m. If the base is also covered, what is the total area of canvas needed?

  41. SSC Selection Post • 2024

    Which of the following schemes will yield the minimum discount? 1) 2 successive discounts of 5% and 5% 2) Single discount of 10% 3) 2 successive discounts of 8% and 2%

  42. SSC GD • 2019

    F alone can complete a work in 24 days and G alone can complete the same work in 32 days. F and G start the work together but G leaves the work 8 days before the completion of work. In how many days the total work will be completed?

  43. SSC CHSL • 2021

    If x-y-z=0, then the value of (x² + y² + z²) ÷ (y² + xz) is:

  44. SSC CGL • 2023

    Find the least number divisible by 2, 3, 5, 6, 9, and 18, which is a perfect square.

  45. SSC CGL • 2022

    The price of petrol shot up by 5% before the hike, the price was Rs.82 per litre. A man travels 3045 km every month and his car gives a mileage of 15 km per litre. What is the increase in the monthly expenditure (to the nearest Rs) on the man's travel due to…

  46. SSC MTS • 2022

    What will be the amount payable on maturity on a principal of ₹12,000, invested for 3 years, at the rate of 10% per annum, compounded annually?

  47. SSC CGL • 2018

    In the given figure, 3 semicircles are drawn on three sides of triangle ABC. AB = 21 cm, BC = 28 cm and AC = 35 cm. What is the area (in cm²) of the shaded part ? [Image]

  48. SSC GD • 2021

    Two numbers are in the ratio of 3 : 4. If 60% of the first number is 144, then 30% of the second number will be:

  49. SSC CHSL • 2021

    A can complete a work in 20 days, while B can complete the same work in 25 days. Both worked together for 10 days and then C alone completed the remaining work in 10 days. In how many days will A, B and C together complete the same work?

  50. SSC GD • 2021

    The sides of a triangular park are 96m, 110m and 146m. Its area is equal to the area of a field in the shape of a rhombus, one of whose diagonals is 60m. the length (in m) of its other diagonal is: