Quantitative Aptitude PYQ — Page 467

24,303 questions across SSC exams.

  1. SSC CPO • 2023

    If k(tan45º sin60º) = cos 60º cot 30º, then the value of k is:

  2. SSC CPO • 2024

    The value of (12 + 18) ÷ 2 − 11 + 16 × 4 − 28 + 13(−18 + 15) is:

  3. SSC CPO • 2023

    Ramesh does half as much work as Parul in 4/5 of the time. If together Ramesh and Parul take 24 days to complete the work, then how much time will Parul take to do it?

  4. SSC CPO • 2024

    A school has two rectangular playgrounds, which are similar in shape. If the length and the breadth of the first playground are given as 224 m and 160 m, respectively, then which of the following options CANNOT be the dimensions of the second playground?

  5. SSC CPO • 2019

    P is a point outside a circle and is 26 m away from its center. A secant PAB has drawn from intersects the circle at points A and B such that PB = 32 cm and PA = 18 cm. The radius of the circle (in cm) is?

  6. SSC CPO • 2024

    A person covers 11 km with a speed of 7 km/h, 25 km with a speed of 10 km/h and 30 km with a speed of 20 km/h. What is the average speed of the person?

  7. SSC CPO • 2022

    Given that A and B are second-quadrant angles, sin A = 1/3 and sin B = 1/5 , then find the value of cos (A - B).

  8. SSC CPO • 2019

    The two parallel sides of a trapezium are 27 cm and 13 cm respectively. If the height of the trapezium is 8 cm, then what is its area in m ?

  9. SSC CPO • 2024

    Simplify the following expression (3.2 × 3.2 - 0.2 × 0.2)/(0.2 × 0.2 - 2 × 0.2 × 3.2 +3.2 × 3.2) ?

  10. SSC CPO • 2024

    A shopkeeper offers 3 schemes of discounts to his customers. Which of the following schemes will fetch the minimum discount percentage? A)Two successive discounts of 24% and 27%. B) Buy 5 get three free. C) Buy 6 and get 10.

  11. SSC CPO • 2025

    If one angle is 15° less than twice its complement, find the angle.

  12. SSC CPO • 2025

    What percentage of the circle is covered by a sector with a central angle of 5π/3 radians?

  13. SSC CPO • 2019

    A person invested a sum of Rs. 18600 at x% p.a. and another sum that is twice the former at (x + 2)% p.a. both at simple interest. If the total interest earned on both investments for 3.5 years is Rs. 23110.50, then the rate of interest p.a. on the second…

  14. SSC CPO • 2019

    If 21 tanθ = 20, then (1 + sinθ + cosθ) : (1 – sinθ + cosθ) = ?

  15. SSC CPO • 2022

    24 men can complete a work in 15 days. How many men are needed to complete the same work in 10 days?

  16. SSC CPO • 2024

    Sumit and Rajiv, working together, can do a job in 20 hours whereasSumit alone can do the same job in 25 hours. In how many hours can Rajiv alone do the job?

  17. SSC CPO • 2019

    The total number of students in schools D and E is what percentage more than the total number of students in schools B and C?

  18. SSC CPO • 2022

    24 men can complete a work in 15 days. How many men are needed to complete the same work in 10 days?

  19. SSC CPO • 2024

    A mixture of 750 kg of alloy of copper and tin contains 25% tin. How much tin must be added so that it becomes 70% of the mixture?

  20. SSC CPO • 2023

    A thief is noticed by a policeman from a distance of 300 m. The thief starts running and the policeman starts chasing him. The thief and policeman run at the rate of 11 km/h and 13 km/h, respectively. After running for how many kilometres will the policeman…

  21. SSC CPO • 2025

    Which line is not parallel to the line 6x-2y=10?

  22. SSC CPO • 2022

    The average marks of students in five subjects in class X in a school is given in the table. [Table] The average percentage marks of which of the following pairs of subjects was the same in 1985?

  23. SSC CPO • 2023

    What is the average of the first six prime numbers?

  24. SSC CPO • 2022

    Find the least value of p so that 246p48 is divisible by 8.

  25. SSC CPO • 2022

    There are 3 taps, A, B and C, in a tank. These can fill the tank in 10 h, 20 h and 25 h, respectively. At first, all three taps are opened simultaneously. After 2 h, tap C is closed and tap A and B keep running. After 4 h, tap B is also closed. The remaining…

  26. SSC CPO • 2019

    The pie-chart given here shows the country's expenditure on various sports during the year. Study the pie-chart and answer the question given below. [Image] If the total amount spent on sports in the year was Rs.2,40,00,000, then the amount spent on cricket…

  27. SSC CPO • 2020

    The ratio of the total surface area and volume of a sphere is 2 : 7. Its radius is :

  28. SSC CPO • 2025

    A rectangular water tank has a length of 5 meters, a width of 3 meters, and a depth of 1.2 meters. What is the total volume of water the tank can hold in liters when completely filled?

  29. SSC CPO • 2023

    In an office, 75 employees can finish a project in 60 days. After a few days, 15 employees left the job and the project was completed in 65 days. After how many days did the 15 employees leave?

  30. SSC CPO • 2025

    From the top of a lighthouse 100 m high, the angle of depression of a boat is 30°. Find the distance of the boat from the base of the lighthouse.

  31. SSC CPO • 2022

    The HCF of 3/4, 7/8, and 13/14 is:

  32. SSC CPO • 2020

    Asha and Suman's mud forts have height 9 cm and 16 cm. They are 24 cm apart. How far ( in cm) are the fort tops from each other ?

  33. SSC CPO • 2019

    The value of [Image] is closest to:

  34. SSC CPO • 2024

    If the radius of a sphere is increased by 40%, then find the percentage increase in its surface area.

  35. SSC CPO • 2025

    The square root of a number is increased by 40%, and the result is 21. Find the original number.

  36. SSC CPO • 2020

    Pipes A and B can fill a tank in 16 hours and 24 hours, respectively, whereas pipe C can empty the full tank in 40 hours. All three pipes are opened together, but pipe C is closed after 10 hours. After how many hours will the remaining part of the tank be…

  37. SSC CPO • 2023

    If x/y+ y/x = 1 and x + y = 2, then the value of x³ + y³ is :

  38. SSC CPO • 2023

    If cos A =1 over 2, 0 ≤ A ≤ 90, then what is the value of sin (180 - A) ?

  39. SSC CPO • 2019

    pipe A can fill a tank of capacity 350 liters in 7/2 minutes. Pipe B can fill a tank of capacity 780 liters in 26/3 minutes. How long (in min) will it take to fill a tank of capacity 1615 liters, if both pipes are opened together?

  40. SSC CPO • 2022

    The monthly income of two persons is in the ratio 4 : 5 and their expenditures are in the ratio 7 : 9. If each saves Rs. 50 per month, then their monthly incomes are:

  41. SSC CPO • 2024

    A shopkeeper kept the marked price of an item at ₹500. He sold it at a scheme discount of 10% and 20% and got a profit of 25%. What was the cost price of the item?

  42. SSC CPO • 2020

    If a² + b² + c² + 216 = 12 ( a + b - 2c) , then [Image] is :

  43. SSC CPO • 2019

    In a class of 45 students, 40% are girls and the remaining are boys. The average marks of the girls is 64 and that of the boys is 60. What is the average marks of the whole class?

  44. SSC CPO • 2020

    The simple interest on a sum of money at 10% per annum for 2 years is Rs.8,100. Compounded annually, what would be the compound interest (in Rs.) on the same sum for the same period at the same rate of interest?

  45. SSC CPO • 2022

    If 25 persons can complete a work in 140 days, then how many persons will be required to complete the same work in 70 days?

  46. SSC CPO • 2023

    Find the value of sin (50 ° + A) - cos (40 ° - A).

  47. SSC CPO • 2023

    If cosec A + cot A = 3, 0 ≤ A ≤ 90⁰ , then find the value of cosA.

  48. SSC CPO • 2019

    The ratio of the volumes of two cylinders A and B is x : y and the ratio of their heights is a : b. What is the ratio of the radii of A and B?

  49. SSC CPO • 2019

    A circular ring of diameter 77 cm is bent in the form of a rectangle whose length is 142% of its breadth. What is the area of the rectangle? (Taken π = 22/7)

  50. SSC CPO • 2023

    A vehicle is going at one-fourth of its usual speed and it takes an extra 45 minutes to reach its destination. Its usual time to cover the same distance is: