Quantitative Aptitude PYQ — Page 376

24,303 questions across SSC exams.

  1. SSC CHSL • 2023

    In △DEF, M and N are the points on sides DE and DF, respectively. MN is parallel to EF and MN: EF = 2: 5. If DE = 60 cm, then what is the length of ME?

  2. SSC CHSL • 2019

    There was 25% off on bags. A lady bought a bag and got additional 20% discount for paying in cash. She paid Rs. 480. What was the price tag (in Rs.) on the bag?

  3. SSC CGL • 2020

    What is the remainder when we divide 5⁷⁰ + 7⁷⁰ by 74?

  4. SSC Selection Post • 2020

    If x+1/2x=3 , find the value of 8x³+1/(x³) .

  5. SSC GD • 2021

    If P = a³× b⁵ × c¹¹, Q = a⁸ × b⁹ × c⁵, R = a¹⁵ × c²³, then what is the HCF of P, Q and R?

  6. SSC Selection Post • 2022

    There are 35 girls and 15 boys in a music club. 10 new girls join the club. What is the percentage of the girls in the club now?

  7. SSC CGL • 2021

    If x + y + z = 1, xy + yz + zx = xyz = -4, then what is the value of (x³ + y³ + z³)

  8. SSC CGL • 2023

    The value of (1/(sinθ) + 1/(tanθ)) (1/(sinθ) - 1/(tanθ)) is:

  9. SSC CGL • 2024

    For two circles of radius 7 units and 7/2 units, whose centers are 15 units apart, what is the length of the direct common tangent in units? (Correct to 3 decimals places.)

  10. SSC CGL • 2021

    Let △ABC ~ △RPQ and [Image] = 16/25 . If PQ = 4 cm , QR =6 cm and PR = 7 cm, then AC (in cm) is equal to :

  11. SSC CHSL • 2021

    If tan² θ – 3sec θ + 3 = 0, 0°<θ<90°, then the value of sin θ + cos θ is:

  12. SSC CHSL • 2023

    PQ is a chord of a circle. The tangent XR at X on the circle cuts PQ produced at R. If XR = 12 cm, PQ = x cm, QR = x - 2 cm, then x (in cm) is:

  13. SSC Selection Post • 2022

    Study the given graph and answer the question that follows. [Image] The percentage increase in the sale of motorcycles in 2020 as compared to that in 2019 is below 15% for the dealer:

  14. SSC Selection Post • 2024

    Four distinct positive numbers, ‘a’, ‘b’, ‘c’ and ‘d’, in the order given, are in proportion. ‘b’ is 35 more than ‘a’ and ‘d’ is 60 more than ‘c’. The product of ‘a’ and ‘c’ is 5376. What is the sum of ‘a’, ‘b’, ‘c’ and ‘d’?

  15. SSC CGL • 2023

    A saree bought for ₹500 is marked at 16% profit and later on sold at a sales discount of x% on the marked price. If the selling price of the saree is ₹493, find the value of x.

  16. SSC CGL • 2025

    A donor deposits ₹8,00,000 in a trust that earns 10% simple interest annually. The interest is used to distribute three annual awards. If the second and third awards are ₹35,000 and ₹20,000, respectively, what is the value of the first award?

  17. SSC Selection Post • 2020

    Two numbers are in the ratio 3: 5. If the sum of their squares is 2176, find the sum of the two numbers.

  18. SSC MTS • 2022

    The perimeter of a square is 90 cm more than the length of each of its side. What is the length of each side of the square?

  19. SSC CGL • 2020

    A person covers a distance of 42 km in 5 hours. He covered some distance on foot at the rate of 6 km/hr and some distance on cycle at the rate of 10 km/hr. Find the total distance covered by the person on foot.

  20. SSC CGL • 2025

    Which of the following statements is always true for an equilateral triangle?

  21. SSC Selection Post • 2023

    If 4 tan A = 3, then cos²A – sin²A equals:

  22. SSC Selection Post • 2020

    12 men and 16 women can complete a job in 5 days. 13 men and 24 women can complete the same job in 4 days. How long, in days, will 5 men and 10 women take to complete the same job?

  23. SSC CHSL • 2020

    If A = 2(sin⁶ θ + cos⁶ θ) – 3(sin⁴ θ + cos⁴ θ) then the value of 3α such that cosα = √(3+A/5+A) is:

  24. SSC CGL • 2023

    If sin θ + cosec \ θ = √(5) , then the value of sin³ θ + cosec³ θ = __.

  25. SSC CGL • 2024

    Simplify the following expression: 0.07 × 0.28 ÷ 0.04 + 0.64 - 1.64 ÷ 0.04

  26. SSC CHSL • 2021

    n = 475AB is a positive integer whose tens and units digits are A and B, respectively. If n is divisible by 5,8 and 9, then what is (10A + B)?

  27. SSC Selection Post • 2024

    The five-digit number 725yz is divisible by 15. What is the maximum possible value of the product of y and z?

  28. SSC CHSL • 2025

    The number of perfect square numbers between 50 and 1000 is?

  29. SSC CHSL • 2022

    The marked price of a study table is ₹3,200. It will be offered for ₹2,448 after two successive discounts. If the first discount is 10%, the second discount is:

  30. SSC CHSL • 2025

    Simplify the expression: (cos²(x) − sin²(x)) / (1 − sin²(x))

  31. SSC Selection Post • 2024

    If the weight of A is 40 kg, the weight of B is 54 kg, and weight of C is 62 kg, then what is the average weight (in kg) of the three persons?

  32. SSC CHSL • 2023

    The pie chart given here shows the spending by a family on various items during the year 2000. Standy the graph and answer these questions. [Image] The ratio of the total amount of money spent on housing to that spent on education was:

  33. SSC CHSL • 2025

    If the ratio of the perimeters of two similar triangles is a : b, what is the ratio of their areas?

  34. SSC CGL • 2024

    Which digits should come in the place of * and #, respectively, if the 7-digit number 62684*# is divisible by both 8 and 5?

  35. SSC CHSL • 2023

    A trader allows a discount of 5% for cash payment. What percentage above the cost price must he mark his goods to make a profit of 14%?

  36. SSC Selection Post • 2020

    Train X running at 50 km/h, leaves station a at 11 a.m., and train Y by running at 90 km on parallel tracks Leave station A at 3 p.m. on the same day and in the same direction. After what distance from station A will both the trains be together.

  37. SSC CGL • 2023

    The pie chart below shows the distribution of female employess working in a company in five different districts (A, B, C, D and E). Total number of female employees in five districts = 136000 [Image] What is the total number of female employees working in a…

  38. SSC GD • 2019

    Study the following table and answer question. Number of students appeared in an examination from five cities: [Table] The ratio of the total number of students passed in the examination from cities A and D to that of students failed from cities B and E?

  39. SSC CGL • 2018

    Giving two successive discounts of 20% is same as giving one discount of ____ %.

  40. SSC MTS • 2022

    What is the value of [1000+300-500div5+100]?

  41. SSC Selection Post • 2022

    Let △ABC ~ △PQR and area(△ABC)overarea(△PQR) = 25over144 .If AB = 12 cm, BC = 7 cm and AC = 9 cm, then PR (in cm) is equal to:

  42. SSC CGL • 2022

    A wire is in the form of square with side 11 cm. It is bent to form a circle. What is the radius of the circle?

  43. SSC CGL • 2024

    If three cubes of volume 512 cm³ each are joined end to end, find the surface area of the resulting cuboid.

  44. SSC CHSL • 2024

    An equal sum of money was lent to P and Q at 8.6% per annum for a period of 7 years and 8 years, respectively. If the difference in interest paid by them was ₹172, then the sum lent to each was:

  45. SSC CGL • 2022

    If Ram covers a certain journey at 60% of his usual speed, he reaches the destination late by 36 min. His usual time (in min) to reach the destination is:

  46. SSC CHSL • 2025

    Two circles with radii of 6 cm and 3 cm have a distance of 15 cm between their centers. What is the length of the common internal tangent between the two circles?

  47. SSC CGL • 2025

    A bucket can hold 6.25 liters of water. How many such buckets are needed to fill a 1 cubic meter tank?

  48. SSC GD • 2021

    What is the compound interest (in ₹, nearest to a rupee) on a sum of ₹ 8000 for 2 1/8 years at the rate of 16% p.a., interest compounded yearly?

  49. SSC Selection Post • 2020

    The average of a observations is 40. If we observations of 50 and 60 are added, then the average of all the observatinus will be 41. What is the valme of in?

  50. SSC Selection Post • 2020

    The difference between the compound interest (compounded yearly) and the simple interest for 2 years on a certain sum at 5% per annum is ₹25. The sum is: