Quantitative Aptitude PYQ — Page 480

24,303 questions across SSC exams.

  1. SSC CPO • 2019

    Three pipes, A, B, C can fill an empty cistern in 2, 3 and 6 hours respectively. They are opened together. After what time should B be closed, so that the cistern gets filled in exactly 1 hr 15 min?

  2. SSC CPO • 2025

    A rectangular garden measures 50 meters in length and 30 meters in width. If fencing costs ₹200 per meter, what is the total cost to fence the entire perimeter of this garden?

  3. SSC CPO • 2019

    If 3(cot²&Oslash; - cos²&Oslash;) = 1 - sin²&Oslash;, 0&ordm; < &Oslash; < 90&ordm;, then &Oslash; is equal to:

  4. SSC CPO • 2020

    Three successive discounts 22%, 17%, and 11% are equivalent to a single discount of :

  5. SSC CPO • 2019

    When a certain number is divided by 65, the remainder is 56. When the same number is divided by 13, the remainder is x. What is the value of [Image] ?

  6. SSC CPO • 2020

    On the marked price of an article,the sum of selling prices with a discount of 35% and two successive discounts of 20% and 15%, is Rs. 1,995.The marked price of the article(in Rs) is:

  7. SSC CPO • 2019

    A sum of Rs. 5000 amounts to Rs. 7200 in 8 years at a certain rate p.a. interest compounded yearly. What will be the compound interest on a sum of Rs. 6550 in 4 years at the same rate of interest?

  8. SSC CPO • 2023

    What is the central angle corresponding to the expenditure spent on Education?

  9. SSC CPO • 2025

    For a triangle with vertices A(0, 0), B(5, 0), and C(0, 10), where is its Orthocenter located?

  10. SSC CPO • 2023

    A and B complete a work in 24 and 30 days, respectively, working 10 hours per day. The work is to be done in two shifts. The morning shift is for 6 hours, and the evening shift is for 4 hours. On the first day, A works in the morning and B works in the…

  11. SSC CPO • 2024

    If 2a + 2b + c = 0, then find the value of (4a² + 4b² + 4c²)/(5c² - 8ab) .

  12. SSC CPO • 2024

    The following table shows the number of teachers in four colleges (male and female) and the percentage of trained teachers among them. [Table] What is the total number of non-trained male teachers in College A and non-trained female teachers in College B?

  13. SSC CPO • 2023

    If the total income of the family was Rs 1,00,000, how much money (in Rs) was spent on the education of the children?

  14. SSC CPO • 2024

    A man travels 1200 km by train at 80 km/h, 1600 km by ship at 40 km/h, 1000 km by plane at 400 km/h, and 200 km by car at 50 km/h. What is the average speed for the entire distance? (rounded off to 2 decimal places)

  15. SSC CPO • 2019

    If √(0.00576 × y) = 2.4, then y is equal to

  16. SSC CPO • 2023

    P and Q can do a work together in 30 days. Q and R can do the same work together in 24 days and R and P can do it together in 20 days. They started the work together, but Q and R left after 10 days. How many more days will P take to finish the remaining work?

  17. SSC CPO • 2023

    Study the given table and answer the question that follows. The table shows the percentage population of four states below poverty line and proportion of male to female. [Table] If the total population of state R is 26,000, then what is the number of females…

  18. SSC CPO • 2020

    The speed of a boat in still water is 15 km/h, and the speed of the current is 5 km/h . In how much time ( in hours) will the boat travel a distance of 60 km upstream and the same distance downstream ?

  19. SSC CPO • 2025

    The volume of a solid hemisphere is 396/7 cubic cm. Find the total surface area of ​​the hemisphere.

  20. SSC CPO • 2024

    Find the central angle for the book in store S.

  21. SSC CPO • 2025

    In triangle XYZ, a line is drawn parallel to YZ intersecting XZ at A and XY at B. If XA=2cm, AZ=6cm, and XB=3cm, find BY.

  22. SSC CPO • 2023

    A conical-shaped vessel has a radius of 21 cm and a slant height of 25 cm. If the curved part of the vessel is to be painted white, find the cost (in ₹) of painting at the rate of ₹1.5 per cm² .

  23. SSC CPO • 2025

    55³ + 17³ − 72³ + 201960 is equal to:

  24. SSC CPO • 2019

    A pole stands vertically on a road, which goes in the north-south direction. P, Q are two points towards the north of the pole, such that PQ = b, and the angles of elevation of the top of the pole at P, Q are a, B respectively. Then the height of the pole is:

  25. SSC CPO • 2019

    What is the ratio of students of A and B in the combine strength from 2016 to 2018?

  26. SSC CPO • 2024

    Simplify the given expression. 12.3 − [ 7 + 0.8 of (5.6 − 3.8 × 1.03 )]

  27. SSC CPO • 2022

    If sin²&Theta; = cos³&Theta;, then the value of (cot²&Theta; - cot⁶&Theta;) is:

  28. SSC CPO • 2025

    A, B and C can do a piece of work in 20, 30 and 50 days, respectively. In how many days can A do the work, if he is assisted by B and C on every second day?

  29. SSC CPO • 2020

    A's salary is 35% more than B's salary.How much percent is B's salary less than that of A's ? ( correct to the nearest integer)

  30. SSC CPO • 2025

    Find the coordinates of the centroid for a triangle with vertices located at the points (2, 1), (5, 4), and (8, 1).

  31. SSC CPO • 2019

    Two times A’s salary is five-time of B’s salary and four times B’s salary is twice C’s salary. What is A’s salary if C’s salary is 1,600?

  32. SSC CPO • 2024

    A shopkeeper offers a discount of 24 % on the marked price. On a special sale day, he offers an extra 30% off coupon after the first discount. If the article was sold for ₹ 7700.70. what is the marked price of the article?

  33. SSC CPO • 2022

    The following bar diagram shows the number of students who opted for the different subjects in the year 2020 and 2021. [Image] What is the sum of the total number of students who opted for different subjects in 2020 and only Geography in 2021?

  34. SSC CPO • 2024

    Simplify the given expression: [{9 × 81 + (142 ÷ 2)} + 350 - 155 + 5 ] ÷ [(25 × 25) - 125]

  35. SSC CPO • 2023

    If sin A = √(3) over 2 ,then find the value of 2 (cosec A + cot A).

  36. SSC CPO • 2022

    The total surface area of a solid metallic hemisphere is 462 cm². This is melted and molded into a right circular cone. If the radius of the base of the cone is the same as that of the hemisphere, then its height is: (use π = 22/7)

  37. SSC CPO • 2023

    The curved surface area of a solid cylinder of height 15 cm is 660 cm². What is the volume (in cm³) of the cylinder? (Take ^π= 22/7 )

  38. SSC CPO • 2019

    If (2x – 5y)³ – (2x + 5y)³ = y [Ax² + By²], then what is the value of (2A – B)?

  39. SSC CPO • 2025

    A and B together can do a piece of work in 20 days. A worked for 15 days and left. B finished the remaining work alone in 42 days. In how many days can B finish the whole work alone?

  40. SSC CPO • 2025

    If the total surface area of a hemisphere is 462 cm², calculate its radius.

  41. SSC CPO • 2022

    Geeta runs 5/2 times as fast as Babita. In a race, if Geeta gives a lead of 40 m to Babita, find the distance from the starting point where both of them will meet (correct up to two decimal places).

  42. SSC CPO • 2024

    A man borrowed ₹29,000 for 3 years and ₹45,000 for 5 years at the same rate of simple interest. If he paid a total interest of ₹62,400, then what was the rate of interest?

  43. SSC CPO • 2019

    In ΔABC, ∠A = 90&ordm;, AB = 16 cm and AC = 12 cm. D is the midpoint of AC and DE ⊥ CB at E. What is the area (in cm²) of ΔCDE?

  44. SSC CPO • 2019

    The value of [Image] is ......

  45. SSC CPO • 2023

    The value of a washing machine depreciated from ₹40,960 to ₹21,970 in 3 years. Find the yearly rate of depreciation.

  46. SSC CPO • 2023

    In a ∆PQR and ∆ ABC, ∠P = ∠A and AC = PR. Which of the following conditions is true for triangle PQR and ABC to be congruent?

  47. SSC CPO • 2024

    The following table shows the gross turnover (in crores) of a company over 5 years. [Table] By what percentage is the gross turnover of 2020 higher than the gross turnover of 2018?

  48. SSC CPO • 2022

    If the total contribution by these investors is 100%, then what is the percentage contribution of Rakesh in the corpus fund?

  49. SSC CPO • 2023

    A sum of money amounts to ₹1,200 in 2 years and becomes ₹1,260 in 3 years at compound interest, when interest is compounded annually. What is the rate of compound interest per annum?

  50. SSC CPO • 2025

    The base of a right prism is a regular hexagon with a side length of 6 centimeters. The height of the prism is 1/√3 centimeters. Find the volume of the prism.