SarkariPYQ

Quantitative Aptitude PYQ — Page 218

24,303 questions across SSC exams.

  1. SSC CHSL • 2023

    If (sin θ - cos θ) = 0, then the value of sin(π - θ) + sin( (π)/2 - θ) is:

  2. SSC CGL • 2023

    Three successive discounts of 15%, 20% and 25% are given. What will be the net discount in percentage?

  3. SSC GD • 2023

    A motor-cycle covers 50 km with a speed of 25 km/hr. What must be the speed of the motor-cycle for the next 50 km journey so that the average speed of the whole journey is 30 km/hr ?

  4. SSC GD • 2023

    Two trains A and B are 155 km apart on a straight line. One train starts from A at 7:00 A.M. and travels towards B at 20 km/h. Another train starts from B at 8:00 A.M. and travels towards A at a speed of 25 km/h. At what time will they meet?

  5. SSC CHSL • 2023

    If sin θ=√(3)cosθ , then what is the value of (3sin²θ+cosθ)/(2cosθ+5) ?

  6. SSC CHSL • 2019

    Two circles of radii 7 cm and 9 cm intersect at the points A and B. If AB = 6 cm and the distance between the centers of the circles is x cm, then the value of x (to the closest integer) is?

  7. SSC Selection Post • 2023

    What is the least value of * so that the number 457643*4 is divisible by 18?

  8. SSC Selection Post • 2023

    The average marks of 13 students are 67. If the average marks of the first seven students are 61 and the average marks of the last seven students are 65, what are the marks of the seventh student?

  9. SSC CHSL • 2020

    A trader marks his article in such a way that even after allowing 15% discount on marked price he still gains 27.5%. If the cost price of the article is Rs. 200, then find the marked price of the article.

  10. SSC GD • 2019

    The marked price of a bike is Rs. 33,600. The retailer announced a discount of 16% on the occasion of Holi. What amount a customer will have to pay for the bike?

  11. SSC Selection Post • 2020

    The average of 13 numbers is 48.5. The average of the first five numbers is 56.4, and that of the last nine numbers is 45.6. What is the 5^(th) number?

  12. SSC CHSL • 2023

    If a + b + c = 13 and ab + bc + ca = 45, find a² + b² + c².

  13. SSC CGL • 2025

    If sin A = 1/(√(10)) , then find the value of tan A + sec A.

  14. SSC MTS • 2022

    In an election between two candidates, one got 60% of the total valid votes, and 10% of the votes were invalid. If the total number of votes cast were 10800, what was the number of valid votes for the other candidate?

  15. SSC GD • 2021

    The ratio of two numbers is 9 : 5. If 8 is added to the largest number and 4 is subtracted from the smaller number, the greater number becomes twice the smaller number. The larger number is:

  16. SSC CHSL • 2023

    Two men do the same journey by travelling at the speed of 18 km/h and 24 km/h, respectively. If one man takes 20 minutes more than the other man, then the distance (in km) of the total journey is:

  17. SSC GD • 2025

    The mean proportional between 36 and 9 is:

  18. SSC Selection Post • 2022

    In △ABC, ∠B = 135°, AB = 5 sqrt2 cm and BC = 7cm. The length of AC is:

  19. SSC CGL • 2019

    The ratio of investment by A to that by B in a business is 14 : 15 and the ratio of their respective profits at the end of a year is 2 : 5. If A invested the money for 3 months, then for how much time (in months) B invested his money?

  20. SSC GD • 2019

    Raman paid Rs. 13,300 as simple interest after 9 years. He had borrowed some money at the rate of 6% for first two years, at 9% for next three years and at 14% for rest of the period. How much money (in Rs) did he borrow?

  21. SSC CHSL • 2023

    If sinA + sin² A = 1, then the value of the expression (cos² A+ cos⁴ A) is __

  22. SSC CGL • 2022

    If 6 √(6p³) + 2 √(2q³) =( √(6p)+√(2q) )(Sp² + Mq² - Npq), ten the positive value of √(S²+M²+2N²) is:

  23. SSC CHSL • 2025

    A number when divided by 45 leaves remainder 27, and when divided by 27 leaves remainder 9. Find the smallest such number.

  24. SSC CGL • 2025

    A circualr wheel is divided into 8 equal sectors. If the area of one sector is 45 cm², what is the radius of the wheel?

  25. SSC CHSL • 2025

    Two trains start from stations A and B towards each other and meet after 4 hours. Train from A travels 20% faster than train from B. If the distance between A and B is 528 km, find the speed of the slower train.

  26. SSC CHSL • 2020

    If a³ + b³ = 20 and a + b = 5, then find the value of a⁴ + b⁴.

  27. SSC MTS • 2022

    A is 25% less than B. B is 30% more than 120. What is the value of A?

  28. SSC CGL • 2022

    The number of cars passing the road near a colony from 6 am to 12 noon has been shown in the following histogram. What is the maximum change percentage in the number of cars as compared to the previous hour?(correct to 2 decimal places) [Image]

  29. SSC CHSL • 2025

    If x = 6cos A + 8sin A and y = 6sin A - 8cos A, find the value of x² + y².

  30. SSC CGL • 2020

    During a medical check-up, the heights of 40 students in a class were recorded as shown in the following table. [Table] How many students have a height of 165 cm or more?

  31. SSC CGL • 2021

    Some fruits are bought at 15 for Rs 140 and an equal number of fruits at 10 for Rs 120. If all the fruits are sold at Rs 132 per dozen, then what is the profit percent in the entire transaction?

  32. SSC GD • 2021

    The cost of 2 dozen bananas is ₹ 240 and the cost of 18 lemons is ₹ 90. Find the ratio of the cost of 1 lemon to that of one banana.

  33. SSC GD • 2023

    Two numbers are in the ratio 3 : 8. If 8 is added to each number, then the ratio becomes 1 : 2. If 4 is subtracted from each number, then the ratio will become:

  34. SSC CHSL • 2023

    A milk merchant buys 30 liters of milk at the rate of Rs. 50 per litre and mixes 20 litres of water in it (water is free of cost). If he sells this mixture at the rate of Rs. 48 per liter, then what is the profit percentage?

  35. SSC CGL • 2025

    If sin A + cos A = (√(2))/2 , find the value of sin²A + cos²A + 2sinAcosA.

  36. SSC Selection Post • 2022

    P and Q travel a distance of 120 km such that the speed of P is faster than Q. The sum of their speeds is 75 km/h, and together they took a total time of 6 hours and 40 minutes. Then the speed of Q (in km/h) is:

  37. SSC CHSL • 2024

    If the angle of the sector with radius 7 cm is 120° then find the length of the sector (in cm). ( π=22/7 )

  38. SSC CGL • 2025

    ΔABC is inscribed in a circle. A tangent is drawn to the circle at point A, intersecting the extension of side BC at D. If AD = 6 cm and CD = 4 cm, what is the length of side BC?

  39. SSC GD • 2019

    The volume of a right circular cone is 1232 cm³. If the height of cone is 24 cm, then what will be the radius of its base?

  40. SSC CGL • 2021

    The value of [Image] is:

  41. SSC GD • 2019

    Study the following table and answer questions: Number of students studying in five schools of a city [Table] The ratio of the number of boys in school A to the number of girls in school E is:

  42. SSC CHSL • 2021

    The perimeter and the area of a rectangular sheet are 42 m and 108 m², respectively. The length of the diagonal is:

  43. SSC Selection Post • 2019

    If a + b + c = 7, and a² + b²+c² = 33, then what is the value of a³ + b³ + c³ - 3abc?

  44. SSC CGL • 2023

    If ( 3y-3/y )=5, find the value of ( y²+1/(y²) ) .

  45. SSC CHSL • 2019

    What is the total number of the copies of the book sold in India during 2012-2015?

  46. SSC CGL • 2022

    A shopkeeper allows 28% discount on the marked price of an article and still makes a profit of 30%. If he gains Rs30.90 on the sale of one article, then what is the marked price (to the nearest Rs) of the article?

  47. SSC CGL • 2024

    Pipe X can fill a tank in 9 hours and Pipe Y can fill it in 21 hours. If they are opened on alternate hours and Pipe X is opened first, in how many hours shall the tank be full?

  48. SSC CGL • 2023

    Two circles touch each other externally. The radius of the first circle with centre O is 6 cm. The radius of the second circle with centre P is 3 cm. Find the length of their common tangent AB.

  49. SSC CGL • 2025

    What is the length of the segment joining (1,2) and (4,6)?

  50. SSC GD • 2019

    A square with maximum possible side is drawn in a circle of radius 12 cm. What is the area of square?