SarkariPYQ

Quantitative Aptitude PYQ — Page 264

24,303 questions across SSC exams.

  1. SSC CGL • 2020

    If 5x + (1/3x) = 4, then what is the value of 9x² + (1/25x²) ?

  2. SSC CHSL • 2023

    Simplify: ((612+388)²+(612-388)²)/((612x612)+(388x388))=?

  3. SSC CHSL • 2021

    From a point P that is at a distance of 15 cm from center O of a circle of radius 9 cm, in the same plane, a pair of tangents PQ and PR is drawn to circle. The area of quadrilateral PQOR is:

  4. SSC CGL • 2023

    What is the remainder when (x¹⁷ + 1) is divided by (x + 1)?

  5. SSC CHSL • 2024

    Kamlesh offers the following two discount schemes to his customers on the sale of an article: (i) Two successive discounts of 25% and 5% (ii) Two successive discount of 20% and 10% What is the difference between the selling price (in Rs.) of the article…

  6. SSC CHSL • 2023

    Two points P and Q are 3 cm apart. These two points lle on the circumference of a circle having radius 1.7 cm. What is the distance (in cm) of the line segment PQ from the centre of the circle?

  7. SSC Selection Post • 2022

    A person borrowed some money on simple interest . After 5 years he returned 7over5 of the money to the lender. What was the rate of interest?

  8. SSC CHSL • 2023

    The sum of the radius of the base and the height of a cylinder is 42 m. If the total surface area of the cylinder is 6336 mm², find the curved surface area of the cylinder, (correct to two places of decimals) (use π = 22/7 ).

  9. SSC CHSL • 2025

    A can do a job in 12 days, B can do the same job in 8 days. How long will they take together?

  10. SSC MTS • 2022

    Study the given table and answer the question that follows. The table shows the number of copies of a book sold by seven different shops on a patiicular day. [Table] The cost of each copy of the book is ₹70. What is the total cost of all the copies of the…

  11. SSC Selection Post • 2022

    Find the smallest number which should be added to 1234 to get a number divisible by 45.

  12. SSC Selection Post • 2020

    If a + b + c = 7 and a³ + b³ + c³ - 3abc = 175, then what is the value of ab + bc + ca?

  13. SSC CHSL • 2024

    In how many years will the simple interest on a sum fo money be equal to the principal at the rate of 26/7 % per annum?

  14. SSC MTS • 2022

    In what time does a sum of money amount to twice of itself at the simple interest of 25% per annum?

  15. SSC CGL • 2023

    A sector of a circle of radius 10 cm is formed at 60° angle at the centre. What will be its area (take π = 3.14)?

  16. SSC GD • 2021

    Rameshwar deposited a part of ₹3,28,000 in a bank in the name of his daughter aged 18 years, and the balance in the name of his son aged 19 years in such a way that they both receive equal amount when they become 21 years of age. If the bank gives compound…

  17. SSC CGL • 2016

    A square and a regular hexagon are drawn such that all the vertices of the square and the hexagon are on a circle of radius r cm. The ratio of the area of the square and the hexagon is:

  18. SSC CGL • 2025

    What is the value of sin 20° cos 10° + cos 20° sin 10°?

  19. SSC CGL • 2025

    A square pyramid has lateral surface area equal to twice the base area. If base side = 6 cm, find slant height.

  20. SSC CGL • 2025

    Three friends, A, B, and C, are cycling on a circular track with a circumference of 3 km. They all start from the same point at 9:00 a.m. and travel in the same direction with speeds of 9 km/h, 12 km/h, and 15 km/h respectively. How many times will all three…

  21. SSC Selection Post • 2023

    A certain amount of work can be done by a man, a woman and a boy in 20, 30 and 60 days, respectively. How many boys should be there in order to complete the work in 2 days with 2 men and 8 women?

  22. SSC CHSL • 2021

    Study the given pie - charts and answer the question that follows. The pie charts represent the percentage distribution of students of graduate and postgraduate levels in five different institutes P, Q, R, S and T in a town. (i) Total number of students of…

  23. SSC CGL • 2024

    How much rice of ₹4 per kg should be mixed to 15 kg of rice of ₹10 per kg, so as to make a mixture worth ₹6.50 per kg?

  24. SSC CHSL • 2025

    Two wall clocks are circular, each with radius 3 units. Their centers are 4 units apart. How many common tangents can be drawn?

  25. SSC CGL • 2024

    A cooker is marked at ₹12,500. The dealer allows successive discounts of 6%, 6%, and 4% on it. What is the net selling price of the cooker?

  26. SSC Selection Post • 2024

    Sukrit purchased an item for Rs. 650 and sold it at a profit of 26%. At what price (in Rs.) did Sukrit sell the item?

  27. SSC CGL • 2023

    A group of men decided to do a job in 11 days but 16 men left the work after each day. The work, as a result, got completed in 15 days. How many men were there initially in the group?

  28. SSC MTS • 2022

    If the average of 20, 40, 50, Y, and Z is 45, then what is the average of Y and Z?

  29. SSC CGL • 2025

    A storage box is in the shape of a right rectangular prism with internal dimensions 50 cm × 40 cm × 30 cm. How many liters can it hold?

  30. SSC CHSL • 2022

    If x = 9, then the value of x⁵- 10x⁴+ 10x³- 10x²+ 10x - 1 is:

  31. SSC CGL • 2019

    Raghav spends 80% of his income. If his income increases by 12% and the savings decrease by 10%, then what will be the percentage increase in his expenditure?

  32. SSC CHSL • 2025

    A student’s average marks in 4 subjects is 75. What should be his score in the fifth subject to get an overall average of 78?

  33. SSC CHSL • 2023

    The average weight of the group of 12 players increases by 1.5 kg when a new player replaces a player who weight 63 kg. What is the weight of the new player?

  34. SSC GD • 2021

    Two-third of the loss of A is equal to five-seventh of the profit of B. If the loss of A is Rs 2460, then how much (correct to 2 decimal places) percentage of the profit of B is the loss of A?

  35. SSC CGL • 2022

    If sin (A + B) = cos (A + B), what is the value of tan A?

  36. SSC CHSL • 2021

    Pipes A and B can empty a full tank in 36 and 45 minutes, respectively, whereas pipe C alone can fill the tank in 15 minutes. B and C are opened together for 15 minutes, and then both are turned off and A is opened. Pipe A will empty the tank in (in minutes):

  37. SSC CGL • 2019

    Two parallel chords on the same side of the centre of a circle are 12 cm and 20 cm long and the radius of the circle is 5√13 cm. What is the distance (in cm) between the chords?

  38. SSC CGL • 2025

    A bag contains 20% red balls, 30% green balls and the rest blue balls. If there are 80 blue balls, what is the total number of balls?

  39. SSC Selection Post • 2022

    A seller sells oranges at the rate of 10 for Rs. 28, gaining thereby 40%. For how much did he buy a dozen oranges?

  40. SSC CGL • 2025

    A tower stands 50 meters tall. From its peak, the angles of depression to the top and bottom of a nearby building are measured at 30^° and 45^° , respectively. Determine the approximate height of the building as well as the horizontal distance separating the…

  41. SSC CHSL • 2025

    A bike is chasing a car, which is 12 km ahead of it. The speeds of the bike and the car are 96 km/hr and 60 km/hr, respectively. If the bike catches the car in 'a' minutes, then find the distance covered by the bike in (a - 16) hours.

  42. SSC CGL • 2024

    The following pie chart shows the percentage distribution of the expenditure incurred in publishing a book. Study the pie chart and answer the question that follows. [Image] If the expenditure on royalty in publishing certain number of books be Rs. 43,500…

  43. SSC CHSL • 2019

    9 years ago, the average age of a family of five members was 33 years. Now, three new members join whose ages are in ascending order with consecutive gaps of 8 years. If the present average age of the family is the same as it was 9 years ago, what is the age…

  44. SSC Selection Post • 2022

    A can do 50% of a work in 20 days and B can do 662/3 % of the same work in 40 days. Both work The remaining work is completed by C alone in 12 days.Working together, A, B and C will complete the same work in:

  45. SSC CHSL • 2025

    A spherical ball of radius 24 cm is melted and recast into identical hemispheres, each having a radius of 8 cm. Determine the combined curved surface area of all hemispheres.

  46. SSC GD • 2021

    Find the value of 94/15div7/8 \ of \ (61/5+32/5)-(2/21+1/126)

  47. SSC GD • 2021

    The average of six numbers A, B, C, D, E and F is 58. If the first number A is two-fifth of the sum of B and C, and is also equal to three-fourth of the sum of D, E and F, then, what is the value of the sum of B and C?

  48. SSC Selection Post • 2022

    At a workplace, one man alone can complete a work in 32 days. If the entire staff, i.e., 6 women and 4 men, can complete the work in 6 days, how many days will one woman alone take to complete the entire work?

  49. SSC CHSL • 2021

    If (x+2 over x)=7 , then what is the value of (2x²+8 over x²)?

  50. SSC CHSL • 2025

    A circular track of radius 17.5 m is to be covered with a uniform circular band of width 3.5 m to create a jogging path around it. Find the area of the jogging path (the ring-shaped region). (Use π ≈ 3.1416 and provide your answer correct to two decimal…