Quantitative Aptitude PYQ — Page 374

24,303 questions across SSC exams.

  1. SSC CHSL • 2023

    If tan θ + cot θ = 2, then what is the value of tan θ - cot θ?

  2. SSC CHSL • 2025

    The slope of a line is -5. If the line passes through the point (2, 3), what is its equation?

  3. SSC CHSL • 2025

    If x - y = 8 and xy = 5, what is the value of x³ − y³ + 8(x + y)².

  4. SSC Selection Post • 2024

    On a machine, there is a 12% trade discount on the marked price of ₹2,56,000, but the machine is sold for ₹2,05,000 after giving a cash discount. How much is this cash discount (in %)? (Rounded to the nearest whole number)

  5. SSC CGL • 2022

    If (x+y)³ - (x-y)³ - 3y(2x²-3y²) = ky³, then find the value of k.

  6. SSC Selection Post • 2022

    If x+ 1 over x=5 , then find the value of x²+ 1 over x².

  7. SSC CHSL • 2024

    18 men can complete 1/5 of a work in 10 days. How many people are required to complete 2/5 of the same work in 5 days?

  8. SSC Selection Post • 2024

    A car covers the distance from Delhi to Gurugram at 60 km/h and returns at a uniform speed of 40 km/h. The average speed of the car during the whole journey is:

  9. SSC GD • 2019

    A sum of Rs. 10640 gives interest of Rs. 3724 in x years at 5% simple interest. What will be the value of x ?

  10. SSC CGL • 2020

    From the following Table, how many patients were in the age group 40-60? [Table]

  11. SSC CHSL • 2025

    Find the value of √(9 + 4√5) + √(9 - 4√5).

  12. SSC Selection Post • 2022

    If two cities, A and B, on a map of scale 1 : 6000000 are 5 cm apart, what is the actual distance (in km) between A and B?

  13. SSC Selection Post • 2022

    If the number 583a4a is divisible by 6, then what is the sum of all the possible values of a?

  14. SSC Selection Post • 2022

    A trader sells an item for Rs.516.60 after offering a discount of 18% on its list price. Had he not given the discount, he would have earned a profit of 26%. What is the cost price (in Rs.) of the item?

  15. SSC CGL • 2023

    In Δ XYZ, right angled at Y, if sin X = 1/2 , find the value of cos X cos Z + sin X sin Z.

  16. SSC CHSL • 2021

    Study the given bar graph and answer the question that follows. A tea plantation company produces three varieties of tea-black tea, green tea and herbal tea The production of here. The X-axis represents the years and the Y-axis displays the production of the…

  17. SSC CGL • 2023

    Study the following table and answer the question below. [Table] What is the ratio of the total number of male students to that of female students who opted for Biology in schools A and D together?

  18. SSC CHSL • 2022

    In a company, there are only two types of employees, workers, and officers. 35% of the employees are officers and the average monthly salary of an officer is ₹3,9000 more than the combined average monthly salary of an employee. What is the difference between…

  19. SSC Selection Post • 2020

    When calculated over the selling price, the profit percentage on selling an article is 25%. What is the actual profit percentage?

  20. SSC CHSL • 2023

    Sukhen purchased some perishable items for sale but 15% of those items could not be sold and went bad. However, Sukhen managed to sell the rest of the items at a price that helped him earn an overall profit of 19%. At what percentage above the cost price of…

  21. SSC CGL • 2022

    Study the following table and answer the question below. [Table] Find the ratio of the number of female students who opted biology in school B and school D.

  22. SSC Selection Post • 2022

    If a man deposits Rs. 12,100 in a bank at a simple interest of 15% per annum, then how much money will he receive from the bank after 3 years?

  23. SSC CHSL • 2025

    In a circle with center O, chords AB and CD intersect at point P. If ∠AOC = 80° and ∠BOD = 60°, what is the measure of ∠APC?

  24. SSC CHSL • 2019

    The simplified value of [Image] is:

  25. SSC Selection Post • 2024

    A sum of money was divided between Cyrus, Rohan, and Mishti. The ratio of the sums received by Cyrus and Rohan was 3 : 2, while the ratio of the sums received by Rohan and Mishti was 7 : 12. If the sum received by Cyrus was ₹1,800 less than the sum received…

  26. SSC CGL • 2023

    A and B can finish a piece of work in 12 days and 18 days respectively. A starts the work and they work alternately, then in how many days will the work be completed?

  27. SSC CGL • 2021

    If sec(5 α - 15º) = cosec(15º - 2 α ), then the value of cos α + sin2 α + tan(1.5 α ) is:

  28. SSC MTS • 2022

    There are a total of 60 students in a class and the ratio of the number of boys to that of the girls is 4 : 1, respectively. If 22 of the boys from this class are vegetarians, then find the number of non-vegetarian boys from the same class .

  29. SSC CGL • 2025

    A, B and C invested ₹24,000, ₹36,000, and ₹40,000, respectively. A's investment was for 12 months, B's for 8 months, and C's for 6 months. The total profit is ₹50,000. What is B's share of the profit?

  30. SSC CGL • 2020

    In △ABC, D and E are the points on sides AC and BC, respectively such that DE || AB. F is a point on CE such that DF || AE. If CE = 6 cm, and CF = 2.5 cm, then BC is equal to:

  31. SSC Selection Post • 2022

    Find cosθ using the given diagram. [Image]

  32. SSC GD • 2021

    A dealer sold an article at a loss of 4%. Had he sold it for Rs 120 more, he would have gained 8%. To gain 11% he should sell the article for?

  33. SSC CGL • 2021

    If [Image] =5, then the value of [Image] is :

  34. SSC CHSL • 2019

    The value of (3\ ÷\5\ -\ 5 \ ÷ \ (6-7) \ × 8 \ + \ 9\)/(4 \ + \ 4 × \ 4 \ ÷ \ 4 \ of \ 4) is:

  35. SSC CGL • 2024

    The marked price of a revolving chair is ₹15,000. It is available on two successive discounts of 20% and 12%. What is its selling price (in ₹)?

  36. SSC CHSL • 2025

    Solve: tan θ sin θ + cos θ

  37. SSC CGL • 2023

    If cos(40° + x) = sin 30°, then the value of x is:

  38. SSC GD • 2019

    If s : u : v : w = 2 : 9 : 6 : 7 and s + u + v + w = 864, then what is the value of s + u + w ?

  39. SSC CGL • 2025

    Pipes A and B can fill a tank in 20 minutes and 30 minutes, respectively. Meanwhile, a drainpipe C can empty the tank in 60 minutes. If all three pipes are opened simultaneously, how long will it take to fill the tank?

  40. SSC CHSL • 2024

    An article is of size 9 cm × 6 cm × 3 cm. The number of such articles that can be packed in a box measuring 63 cm × 42 cm × 21 cm is:

  41. SSC Selection Post • 2023

    The third proportional of 16 and 24 will be __.

  42. SSC CHSL • 2023

    Find the length of a tangent drawn to a circle with a radius of 6 cm, from a point 10 cm from the center of the circle.

  43. SSC MTS • 2022

    A retailer buys a used laptop for ₹22,500. His overhead expenses are ₹1,500. He sells the laptop for ₹30,000. The profit percentage of the retailer is:

  44. SSC CGL • 2020

    The given table represents the exports (in Rs.crores) of four items A, B, C and D over a period of six years. Study the table and answer the questions that follows. [Table] The total exports of item D in 2010, 2012, and 2014 is what percentage of the total…

  45. SSC CGL • 2020

    When 732 is divided by a positive integer x, the remainder is 12. How many values of x are there?

  46. SSC CHSL • 2024

    The average marks scored by the students of a class is 75. If the average marks scored by the girls in the same class is 90 and that of boys is 70, what is the percentage of boys in the class?

  47. SSC Selection Post • 2022

    A sum of ₹6300 amounts to ₹ 8085 at a certain rate percent p.a. in 3 1over3 years, at simple interest. what will be the simple interest (in₹) on a sumof ₹8000 at the same rate for 4 2over5 years?

  48. SSC CHSL • 2022

    The radius of a hemispherical bowl is given as 7 cm. What is the capacity of the bowl? (π=22 over 7)

  49. SSC CHSL • 2025

    A merchant gives a series of 3 successive discounts of 5%, 10%, and 20% on an item priced at ₹ 1,500. What is the final price after the discounts?

  50. SSC CHSL • 2022

    A pillar 11 m in radius is 21 m high. How much material was used to construct it? (Use π = 22/7)