Quantitative Aptitude PYQ — Page 281

24,303 questions across SSC exams.

  1. SSC CHSL • 2025

    If (6m − 5n)² = 7 and 30mn = 60, then find the value of (6m + 5n)² + 16mn.

  2. SSC CGL • 2019

    [Image] is equal to:

  3. SSC CHSL • 2021

    The value of 613over5÷[40div2 of 5+27÷1over3- (78div31over3)] is:

  4. SSC CHSL • 2020

    If the value of [Image] is same as that of √(x)√(y), then which of the following reactions between x and y is correct?

  5. SSC Selection Post • 2020

    When 93, 119, and 158 are divided by the integer n (n > 1), the remainder in each case is d. What is the value of (n + d)?

  6. SSC CHSL • 2023

    In tringle ABC and triangle PQR, angle B = angle Q, angle C = angle R and AB = 2PQ, then the two tringle are __.

  7. SSC CGL • 2025

    The average temperature of a city from Monday to Friday is 40° C. If the temperature on Saturday is 45° C, what will be the average temperature from Monday to Saturday?

  8. SSC GD • 2019

    The perimeter of a square and a circle are same. If the area of the circle is 1386cm , then what will be the area of the square?

  9. SSC CGL • 2021

    If a + b + c = 0, then what is the value of ((b+c)²)/bc+((c+a)²)/ca+((a+b)²)/ab=?

  10. SSC Selection Post • 2022

    The average of the first five even natural numbers is:

  11. SSC GD • 2021

    If 25 men can complete a work in 36 hours, then in how many hours will 12 men complete the same work?

  12. SSC Selection Post • 2023

    If sinθ + cosθ =(√(11))/3 , then what is tanθ + cotθ equal to :

  13. SSC CHSL • 2022

    The pie chart below shows the percentage shares of the total expenditure on sports made by a country on various sports during 2019 - 2020. Study the pie chart and answer the question that follows. [Image] If the total amount spent on sports during 2019…

  14. SSC CHSL • 2025

    What is the value of a² + b² + c² if a + b + c = 12 and ab + bc + ca = 40?

  15. SSC CGL • 2024

    In a room, there are some chairs and some people. If on each chair, only one person is seated, then there is no chair for exactly one person. If on each chair, two persons sit, then there is one vacant chair. What is the number of chairs in the room?

  16. SSC CGL • 2022

    The length of the shadow on the ground of a tall tree of height 45m is 15 √(3) m. What is the angle (in degree) of elevation of the sun?

  17. SSC Selection Post • 2022

    The average weight of some members of a club is 70 kg. If 15 members with an average weight of 60 kg join the club, or if 5 members with an average weight of 90 kg leave the club, then the average weight of members in both cases is equal. How many members…

  18. SSC CGL • 2020

    In a class, the average score of thirty students on a test is 69. Later on, it was found that the score of one student was wrongly read as 88 instead of 58. The actual average score is:

  19. SSC Selection Post • 2022

    The given pie chart shows the degree-wise breakdown of the expenditure of a family in a month. The total expenditure of the family is ₹43,200. [Image] By what percentage is the expenditure on education and rent taken together more than the expenditure on…

  20. SSC CGL • 2025

    A 96-litre solution contains acid and water in the ratio 5:3. Some quantity of this solution is removed and replaced with pure acid. If the final ratio of acid to water becomes 11:5, how many litres of solution were replaced?

  21. SSC CGL • 2022

    Study the following table and answer the question that follows. A school has four sections A, B, C and D of Class IX students. The results of Science and Mathematics examinations are shown in the following table [Table] What percentage of students of section…

  22. SSC Selection Post • 2019

    The average of six numbers is 36. If one number is excluded, the average becomes 37. What is the excluded number?

  23. SSC CHSL • 2025

    The sum of three numbers A, B and C is given as 3500. If the ratio of A to B is 2:3 and the ratio of B to C is 4:5 then what is the value of B?

  24. SSC CGL • 2024

    The given pie-chart shows the percentage distribution of 20,000 employees in a company. [Image] Study the given chart and answer the question that follows. If 30% of the employees in department D are females, then how many male employees are there in that…

  25. SSC CGL • 2024

    Atul gives Vishu a head-start of 20 seconds in a 900 m race and beats him by 135 m. While running the same race again Atul gives a start of 189 m and beats him by 8 seconds. In how much time can Vishu complete the full race of 900 m?

  26. SSC CHSL • 2024

    Pranav gave 30% of the money he had to his wife, and 86% of the remaining to his two children. Half of the amount left was spent on other things, and the remaining amount of ₹98,000 was deposited in the bank. How much money did he have initially?

  27. SSC MTS • 2022

    Aman gave 30% of his monthly income to his father and of the remaining income he gave 30% to his daughter and 25% to his wife. Aman invested the amount of money still remaining from his monthly income equally in three schemes. If he invested ₹42,000 in each…

  28. SSC CGL • 2023

    If the cost price of 28 oranges is equal to selling price of 24 oranges, then the profit percentage is:

  29. SSC CHSL • 2025

    A chord is equal to the radius of the circle. Find the angle subtended at the center.

  30. SSC CGL • 2025

    Sujit can do a piece of work in 4 days, and Rakesh can do it in 8 days. If they work together for 2 days, how much of the work will be left?

  31. SSC CHSL • 2023

    What is the largest five-digit number exactly divisible by 88?

  32. SSC CGL • 2022

    If a² + b² + 49 c² + 18 = 2 (b - 28c - a) then the value of (a + b - 7c) is:

  33. SSC Selection Post • 2024

    Find the amount of equal annual instalment, which will discharge a debt of ₹40,376 due in 4 years at the rate of 2% p.a. simple interest.

  34. SSC CGL • 2019

    When x is subtracted from each of 21, 22, 60 and 64, the numbers so obtained, in this order, are in proportion. What is the mean proportional between (x + 1) and (7x + 8)?

  35. SSC CGL • 2023

    Amit can complete a piece of work in 5 hours, Jeevan and Paul together can complete it in 4 hours, while Amit and Paul together can complete it in 3 hours. Approximately, how many hours will Jeevan alone take to complete the work (rounded off to the nearest…

  36. SSC CHSL • 2023

    In a 140 m race. Pankaj runs at a speed of 5/2 m/s the gives a start of 20 m to Arun and still defeats him by 4 seconds.The speed of Arun is:

  37. SSC CHSL • 2023

    If sin α + cos α = 2/(sqrt3) , then what is (tan α + cot α) equal to?

  38. SSC Selection Post • 2022

    Manoj and Kritika divide a sum of Rs.20,000 in the ratio of 5 : 3. If Rs.6,000 is added to each of their shares, what would be the new ratio formed?

  39. SSC CGL • 2021

    Radha bought a fridge and washing machine together for Rs. 57300. she sold the fridge at a profit of 15% and the washing machines at a loss of 24% and both are sold at the same price. The cost price of washing machine (in Rs) is :

  40. SSC CGL • 2023

    In the given figure, PAB is a secant and PT is a tangent to the circle from P. If PT = 8 cm, PA = 6 cm and AB = x cm, then the value of x is: [Image]

  41. SSC CGL • 2024

    The following table shows the expenditure of a company (in ₹ lakh) per annum over the given years. Study the table and answer the question that follows. [Table] The total amount of bonus paid by the company during the given period is what percentage of the…

  42. SSC CGL • 2022

    If k⁴ + (1/k⁴) = 47, then what is the value of k³ + (1/k³) ?

  43. SSC CGL • 2021

    Atul borrowed a sum of Rs 12000 and agreed to repay it by paying Rs 4800 at the end of first year and Rs 9240 at the end of second year.What is the rate of compound interest compunded annually ?

  44. SSC CGL • 2020

    A solid metallic cuboid of dimensions 18 cm × 36 cm × 72 cm is melted and recast into 8 cubes of the same volume. What is the ratio of the total surface area of the cuboid to the sum of the lateral surface areas of all 8 cubes?

  45. SSC GD • 2019

    The sides of a triangle are in the ratio 4 : 3 : 2. If the perimeter of the triangle is 63 cm, then what will be the length of the largest side?

  46. SSC CGL • 2025

    A wholesaler sells a packet of tea to a retailer at a profit of 20%. The retailer then marks up the price by 50% and offers a discount of 20% to the customer. If the customer pays ₹480, find the cost price of the packet for the wholesaler.

  47. SSC Selection Post • 2022

    The average of 52 numbers is 48.5. The average of the first 22 numbers is 59.8 and that of the last 32 numbers is 41.7. If the 21st and 22nd numbers are excluded, then what is the average of the remaining numbers?

  48. SSC CHSL • 2021

    In Δ ABC, D and E are points on sides AB and BC, respectively, such that BD : DA = 1 : 2 and CE :EB = 1 : 4. If DC and AE intersect at F, then FD : FC is equal to:

  49. SSC CHSL • 2024

    In an isosceles triangle ABC, AB = AC. D is a point inside the triangle such that ∠BAD = 20° = ∠DCB, ∠CAD = 80°. The value of ∠ABC is:

  50. SSC CHSL • 2024

    The centres of two circles of radii 20 cm and 32 cm are 60 cm apart. What is the ratio of the length of the direct common tangent to the length of the transverse common tangent to these circles?