Quantitative Aptitude PYQ — Page 373

24,303 questions across SSC exams.

  1. SSC GD • 2021

    Gurpreet went to a shop and bought a sofa. She got a 20% discount on it. Had she received 30% discount, she would have saved ₹ 1000 more. How much did she pay for the sofa?

  2. SSC CGL • 2023

    In a circular path of 600 m, Pankaj and Rohit start walking in opposite directions from the same point at the speeds of 2.85 m/s and 5.4 km/h, respectively. After how many minutes will they meet for the first time? (Rounded off to one decimal point)

  3. SSC Selection Post • 2019

    If 1 - 3(cot² φ - cos² φ ) = sin² φ , 0ᵒ θ φ + cos φ )?

  4. SSC CHSL • 2020

    The ratio of the areas of two squares is 16 : 1. Find the ratio between their perimeters.

  5. SSC MTS • 2022

    In how many years, The simple interest earned on Rs. 6000 at an interest rate of 5% per annum will be equal to the simple interest earned on Rs. 2000 at the rate of 4% per annum for 30 years?

  6. SSC CHSL • 2025

    If a book costs Rs. 800 and is sold with a profit of 10% and discount of 12% then the marked price is:

  7. SSC CGL • 2024

    Simplify the following. (5-15over16)× 112over13

  8. SSC CHSL • 2019

    If cot θ = √6, then the value of (cosec²θ + sec²θ)/(cosec²θ - sec²θ):

  9. SSC CGL • 2022

    An article is sold at a profit of 13¹/4%. Had it been sold for RS 76.70more, the profit would have been 16¹/5%. 50% of the cost price of the article (in RS) is:

  10. SSC CGL • 2021

    The following Bar Graph represent the production of Fertilizers by Company A and B (in 10000 tonnes) over the years from 2005 to 2010. The X - axis represent the years , and the Y- axis represent the Production of Fertilizer ( in 10000 tonnes). (Note: The…

  11. SSC CGL • 2020

    ((x²(x - 4)²)/((x + 4)² - 4x)) ÷ ((x² - 4x)³)/((x + 4)²) × (64 - x³)/(16 - x²) is equal to :

  12. SSC Selection Post • 2022

    A sum of Rs. 7,600 amounts to Rs. 7,980 in 2 years at simple interest. If the interest rate is increased by 5%, how much would it amount to?

  13. SSC CHSL • 2025

    If x = √27 + √3, then what is the value of x²?

  14. SSC GD • 2021

    A sold an article to B at 24% profit. B sold it to C at 30% profit. If B's profit was Rs. 72.60 more than that of A, then how much (in Rs.) did B pay for it?

  15. SSC Selection Post • 2019

    A person goes to his office at one-fifth the speed at which he returns from his office. If his average speed during the whole journey is 20 km/hr, then what is the speed (in m/s) of the person while going to the office?

  16. SSC CHSL • 2020

    A pair of tangents AB and AC are drawn from a point which is at a distance of 10 cm from the centre O of a circle of radius 6 cm, then the area in cm² of quadrilateral ABOC, is:

  17. SSC CGL • 2025

    A pair of shoes is listed at 800. After two successive discounts, it is sold for 612. If the first discount offered was 10%, what was the second discount percentage?

  18. SSC Selection Post • 2024

    Which of the following numbers is divisible by 11?

  19. SSC GD • 2019

    The average weight of all the vehicles in a parking is 4000 kg. The average weight of 12 vehicles is 6000 kg. Average weight of the remaining vehicles is 3000 kg. What is the total number of vehicles in the parking?

  20. SSC MTS • 2019

    What is the area of the largest square which can be inscribed in a circle of radius 14 cm? (Take π = 22/7)

  21. SSC GD • 2019

    The difference between the simple interest and compound interest (interest is compounded half yearly) on a sum at the rate of 25% per annum for one year is Rs. 4375. What will be the principal?

  22. SSC Selection Post • 2022

    Find the value of 13³+ (-8)³ + (-5)³

  23. SSC CGL • 2024

    If ₹1,875 becomes ₹2,625 in 4 years, what will ₹24,000 become at the end of 9 years at the same rate of interest, under simple interest?

  24. SSC CGL • 2025

    Alok starts a business with ₹90,000. After 3 months, Deepak joins with ₹1,20,000. After 6 months from the beginning, Alok increases his investment by ₹30,000. Deepak leaves the business 3 months before the end of the year. What is their profit-sharing ratio?

  25. SSC CHSL • 2025

    (³√(64)+⁴√(256))/(√(81))=?

  26. SSC CHSL • 2025

    In △ABC, the circumcenter is located at point O. The lengths of the sides are a,b,c. Which of the following statements about the distances from O is true?

  27. SSC GD • 2021

    Two ropes, one 8m long and the other 14m long are to be cut into pieces of the same length. What will the maximum possible length of each piece be ?

  28. SSC CGL • 2025

    A & B together earn ₹840 for a job. A works the whole time; B joins after the job is 25% done. B is twice as efficient as A. Find B's share.

  29. SSC CGL • 2022

    A vertical pole and vertical tower are on the same level of the ground in such a way that from the top of the pole, the angle of elevation of the top of the tower is 60° and the angle of depression of the bottom of the tower is 30°. If the height of the…

  30. SSC CHSL • 2021

    Find the area (in cm²) and the diameter (in cm), respectively, of a circle whose circumference is 40 π cm?

  31. SSC CGL • 2022

    If sin A = 4/5, sin B = 15/17, what is the value of sin (A-B)?

  32. SSC CGL • 2020

    If the radius of a circle is decreased by 11% then the total decrease in the area of the circle is given as:

  33. SSC MTS • 2022

    In a classroom consisting of boys and girls, the average marks obtained by the boys is 90. If the average of the whole class is 92, and the ratio of the number of boys to that of girls is 3 : 2, what is the average marks scored by the girls?

  34. SSC CHSL • 2023

    The simple interest on a sum of money in 6 years at the rate of 15% par anmum is ₹1,440 less than the simple interest accrued on the same sum in 9 years at 18% per ann. What is the sum of money (in ₹)?

  35. SSC CHSL • 2025

    From a point P, two tangents PA and PB are drawn to a circle. If the length of the chord AB is equal to the radius of the circle, what is the angle ∠APB?

  36. SSC Selection Post • 2022

    The average of n numbers is 55. If 70% of the numbers are decreased by 3 each and the remaining numbers are increased by 5 each, then what is the average of the resulting numbers?

  37. SSC Selection Post • 2022

    If xover y + yover x = 1 and x, y ≠ 0, then find the value of x ⁶ + y ⁶ + 2x ³ y ³ .

  38. SSC CGL • 2023

    If the third proportional of 3x² and 4xy is 48, then find the positive value of y.

  39. SSC CGL • 2025

    The average weight of 30 students is 60 kg. If one student is removed, the average drops to 59.5 kg. What is the weight of the removed student?

  40. SSC GD • 2021

    Raghu and raman start together to walk a certain equal distance at speed of 10 km/h and 8 km/h, respectively. Raghu arrives 30 minutes before Raman arrives. Find the distance between the start and the end point.

  41. SSC CHSL • 2021

    Study the given graph and answer the question that follows. [Image] The total revenue in 2015 and 2017 is what per cent of the total expenditure of the company in 2016, 2018 and 2019 (correct to one decimal place?

  42. SSC CHSL • 2025

    A line passes through the point (5, 7) and has a slope of -1. What is the equation of the line?

  43. SSC CGL • 2023

    The average monthly income of the father and mother is ₹5,000. The average monthly income of the mother and her son is ₹6,000. The average monthly income of the father and his son is ₹10,000. Find the monthly income (in ₹) of the father.

  44. SSC CGL • 2021

    A man and a woman, working together can do work in 66 days. The ratio of their working efficiencies is 3 : 2. In how many days 6 men and 2 women working together can do the same work?

  45. SSC CGL • 2025

    A invests ₹60,000 while B invests ₹90,000, with A's investment lasting 10 months and B's for 8 months. The total profit amounts to ₹40,000. What is A's share?

  46. SSC CHSL • 2025

    Which of these is the smallest: √5, ³√11, ⁶√124?

  47. SSC CGL • 2016

    If x⁴ + 2x³ + ax² + bx + 9 is a perfect square, where a and b are positive real numbers, then the value of a and b are

  48. SSC Selection Post • 2024

    Two trains, A and B started travelling towards each other at the same time, from places P to Q and Q to P, respectively. After crossing each other, A and B took 9 hours and 16 hours to reach Q and P, respectively. If the speed of A was 56 km/h, then what was…

  49. SSC CGL • 2024

    If a + b + c = 0, then the value of (a² + b² + 2ab) is equal to :

  50. SSC CHSL • 2022

    After allowing 15% discount, a dealer wishes to sell a machine for ₹1,22,700. At what price must the machine be marked? (Consider up to two decimals)