SarkariPYQ

Quantitative Aptitude PYQ — Page 66

24,303 questions across SSC exams.

  1. SSC CGL • 2022

    If (sin² θ)/(cos² θ-3 cosθ+2)=1, θ lies in the first quadrant, then the value of (tan² (θ)/2+sin²(θ)/2)/(tan θ+sinθ) is:

  2. SSC Selection Post • 2025

    Consider the following two statements, labeled Assertion (A) and Reason (R). Evaluate them and choose the appropriate answer from the given options. Assertion (A): Any whole number larger than one can be written as the result of multiplying prime numbers…

  3. SSC Selection Post • 2025

    Which of the following is the CORRECT comparison?

  4. SSC CGL • 2016

    Mukesh has twice as much money as Soham, Soham has 50% more moneythan Pankaj. If the average money with them is Rs.110, then Mukesh has

  5. SSC CGL • 2020

    Ramesh started a business by investing a sum of Rs 40,000. Six months later, Kevin joined by investing Rs 20,000. If they make a profit of Rs 10,000 at the end of the year, how much is the share of Kevin?

  6. SSC Selection Post • 2025

    A box has marbles in the ratio 5:3:2 (red: green: blue). If there are 100 marbles in total, how many are green?

  7. SSC CGL • 2022

    A saves 35% of his income. If his income increases by 20.1% and his expenditure increases by 20%, then by what percentage do his savings increase or decrease? (correct to one decimal place)

  8. SSC CGL • 2018

    A, B, and C together can finish a task in 12 days. A is twice as efficient as B and C alone can do the task in 36 days. In how many days can A and B do the task if C goes on leave?

  9. SSC Selection Post • 2025

    The salary of X is 80% more than Y while the salary of Z is 25% less than the total salary of X and Y together then find what is the salary of Z if Y's salary is Rs. 45000?

  10. SSC Selection Post • 2025

    The car completes a journey of 240 km in 4 hours. If its speed is increased by 25%, how long will it take to cover a distance of 300 km?

  11. SSC Selection Post • 2025

    There are four consecutive odd numbers, denoted by x₁, x₂, x₃, and x₄, and three consecutive even numbers, denoted by y₁, y₂, and y₃. The average of the odd numbers is six less than the average of the even numbers. Additionally, the sum of the three even…

  12. SSC CGL • 2016

    The average daily income of 7 men, 11 women, and 2 boys Rs.257.50. If the average daily income of the men is Rs.10 more than that of women and the average daily income of the women is Rs.10 more than that of boys, the average daily income of a man is

  13. SSC Selection Post • 2025

    If sin(90°−x) = cos(2x−30°), and x is acute, find the value of x.

  14. SSC Selection Post • 2025

    In a pair of concentric circles, a chord drawn in the larger circle just touches the smaller circle at a single point. Which of the following statements is true?

  15. SSC Selection Post • 2025

    If √(x2 + 10x + 25) + √(x2 – 6x + 9) = 10 , find the value of x .

  16. SSC Selection Post • 2025

    Find the average of 4, 8, 12, 16.

  17. SSC Selection Post • 2025

    The average of three numbers A, B, and C is 48. The average of A and B is 45. The average of B and C is 49. What is the value of B?

  18. SSC CGL • 2020

    Find the number of prime factors in the product (30)⁵ × (24)⁵.

  19. SSC CGL • 2022

    Study the given pie charts and answer the question that follows. [Image] The number of students who passed from institute C exceeds the number of students who appeared from institute E is x. The value of x lies between:

  20. SSC Selection Post • 2025

    The average monthly salary of 24 workers and 1 manager is ₹5000. The manager earns ₹11000. What is the average salary of the workers?

  21. SSC Selection Post • 2025

    What is the value when 120 is increased by 25%?

  22. SSC Selection Post • 2025

    If √x = 11, what is the value of x + √x?

  23. SSC CGL • 2020

    In a circle, O is the centre of the circle, Chords AB and CD intersect at P. If ∠AOD = 32º and ∠COB = 26º, then the measure of ∠APD lies between:

  24. SSC Selection Post • 2025

    A and B together can complete a piece of work in 10 days. B alone can complete it in 15 days. In how many days can A alone complete the work?

  25. SSC Selection Post • 2025

    The difference between the compound and simple interest on a sum of ₹12,000 for 2 years is ₹216. Find the rate of interest per annum.

  26. SSC CGL • 2017

    The average monthly salary of all the employees in a factory is Rs 8840. If the average salary of all the officers is Rs 15000 and that of the remaining employees is Rs 8000, then what is the percentage of the officers among the employees?

  27. SSC Selection Post • 2025

    A milkman bought 50 liters of milk for ₹2000. 5 liters of milk spoiled. At what rate per liter should he sell the remaining milk to make a profit of 20% on his total outlay?

  28. SSC Selection Post • 2025

    Which of the following is the CORRECT comparison?

  29. SSC Selection Post • 2025

    A train moves from City A to City B, a distance of 180 Kilometres in 3 hours. If the train keeps running at the same constant rate, how many hours will it take to travel the distance between City C and City D, which are 720 Kilometres apart?

  30. SSC CGL • 2018

    Four identical cones each of radius 10.5 cm and height 14 cm are cut from a cuboid of dimensions 30cm × 32cm × 40cm (base of each cone lies on the surface of cuboid). What is the total surface area (in cm ) of the remaining solid?

  31. SSC Selection Post • 2025

    By selling 5 chairs for ₹1200, a carpenter gains the cost price of 2 chairs. The profit percent is:

  32. SSC Selection Post • 2025

    What is the compound interest on a sum of ₹37,500 for 1 (1/3) years at a rate of 12% per annum, compounded every 8 months?

  33. SSC CGL • 2018

    If A, B and C together do a job in 4 days, A and C together do the job in 4.5 days and B and C together do the job in 12 days then in how many days can C alone do the job?

  34. SSC Selection Post • 2025

    If sin A=cos B and both A and B are acute angles, what is the value of A+B?

  35. SSC CGL • 2022

    A tap can fill a tank in 5½hours. Because of a leak, it took 8 1/4 hours to fill the tank. In how much time (in hours) will the leak alone empty 30% of the tank?

  36. SSC CGL • 2019

    The selling price of an article is 32% more than its cost price & the discount offered on its marked price is 12%, then what is the ratio of its cost price to the marked price?

  37. SSC Selection Post • 2025

    Which set of numbers includes all others?

  38. SSC Selection Post • 2025

    If: 4 sin² θ + 3 cos² θ = 13/4, then sin² θ is:

  39. SSC CGL • 2019

    The value of [Image] is 50 × 10ᵏ, where the value of k is ?

  40. SSC Selection Post • 2025

    A milkman bought 50 liters of milk for 2000. 5 liters of milk spoiled. At what rate per liter should he sell the remaining milk to make a profit of 20% on his total outlay?

  41. SSC Selection Post • 2025

    Rahim earns ₹14,000 per month, and Ami earns ₹1,80,000 per annum. If both spend ₹10,000 per month, what is the ratio of their savings?

  42. SSC CGL • 2025

    A triangle with all its angles less than 90 ^° has its Orthocenter located where?

  43. SSC CGL • 2018

    The distance between the centres of two circles is 61 cm and their radii are 35 cm and 24 cm. What is the length (in cm) of the direct common tangent to the circles?

  44. SSC CGL • 2020

    The lengths of two sides of a parallelogram are 3 cm and 10 cm. What is the half of the sum of the squares of the diagonals of the parallelogram?

  45. SSC Selection Post • 2025

    The compound interest on a certain principal at 12½% per annum for 2 years is ₹265.625. What is the simple interest on the same principal for the same time and rate?

  46. SSC Selection Post • 2025

    The square of 27x27:

  47. SSC CGL • 2019

    The HCF of two numbers is 21 and their LCM is 221 times the HCF. If one of the number lies between 200 and 300, then the sum of the digits of the other number is __.

  48. SSC CGL • 2018

    The radius of two circles is 3 cm and 4 cm. The distance between the centres of the circles is 10 cm. What is the ratio of the length of direct common tangent to the length of the transverse common tangent ?

  49. SSC CGL • 2016

    A complete factorisation of x⁴ + 64 is:

  50. SSC Selection Post • 2025

    What percent of 0.05 cubic meters is 25,000 cubic centimeters?