Quantitative Aptitude PYQ — Page 459

24,303 questions across SSC exams.

  1. SSC CPO • 2022

    A can do a piece of work in 10 days. B can do it in 15 days. With the assistance of C, they completed the work in 5 days. Find how many days C alone can do it.

  2. SSC CPO • 2019

    Two equal sums are lent at 10% and 8% simple interest p.a. respectively, at the same time. The first sum is received 2 years earlier than the second one and the amount received in each case was Rs.36,900. Each sum was......

  3. SSC CPO • 2024

    What was the percentage increase in the number of mango trees planted in 2020 compared to the number of mango trees planted in 2018?

  4. SSC CPO • 2020

    If ( 5√5x³ - 3√3y³) ÷ ( √5x - √3y ) = ( Ax² + By² + Cxy), then the value of ( 3A + B - √15C) is :

  5. SSC CPO • 2024

    The sum of two numbers x and y (where x is greater than y) equals four times their difference. Find the value of 5xy over 3(x² - y²) .

  6. SSC CPO • 2025

    A student’s marks in Mathematics were 20% more than in Physics. If he scored 72 in Physics, how many marks did he score in Mathematics?

  7. SSC CPO • 2025

    Find the area of a circle that has a circumference of 44 cm.

  8. SSC CPO • 2023

    If a total of 1200 kg of fruits were sold in a day, calculate the amount of bananas sold (in kg).

  9. SSC CPO • 2023

    The table below shows the number of students commuting to school by different modes of transport: [Table] Which mode of transport is used by maximum number of students?

  10. SSC CPO • 2024

    Find the value of the following expression. (1 + tan θ + sec θ ) × (1 + cot θ − cosec θ)

  11. SSC CPO • 2020

    If 4θ is an acute angle, and cot 4θ = tan(θ - 5°), then what is the value of θ?

  12. SSC CPO • 2019

    A started a business with a capital of Rs. 1,12,000. After 2 months, B joined the business with a capital of Rs. 80,000 and after another 2 months, C joined the business with a capital of Rs. 72,000. After 10 months from the start of the business, B withdrew…

  13. SSC CPO • 2025

    If the length is 4a²b and the width is 5ab³, what will be the area of ​​the rectangle?

  14. SSC CPO • 2024

    Tarun is twice as good as Tripti in doing a work. Together, they can complete the work in 16 days. In how many days can Tripti alone complete the same work?

  15. SSC CPO • 2022

    The ratio of the two numbers is 5 : 7 and their HCF is 3. Their LCM is:

  16. SSC CPO • 2022

    If Ram’s income exceeds Shyam’s income by 70% and Shyam’s income is less than Sohan’s income by 30%, then find the ratio of the incomes of Ram and Sohan.

  17. SSC CPO • 2019

    A, B and C started a business with their capitals in the ratio 1 : 4 : 4. At the end of every 3 months, A doubles his capital, B halves his capital and C leaves his capital unchanged. At the end of the year, If B's share in the profit was RS. 4,50,000, then…

  18. SSC CPO • 2023

    If 11/3div2/5timesx/5 = 11/4times2/3div1/6 , then the value of X is:

  19. SSC CPO • 2023

    Two metallic balls P and Q are such that the diameter of P is four times the diameter of Q. What is the ratio between the volumes of P and Q?

  20. SSC CPO • 2024

    Ramesh spent ₹30,000 on Diwali shopping and ₹45,000 on buying a TV set, and the remaining 40% of the total amount he had as cash with him. What was the total amount (in ₹)?

  21. SSC CPO • 2024

    The area of the canvas cloth needed to erect a right conical tent of height 20ft. and circular base of circumference 30π ft. is:

  22. SSC CPO • 2024

    The value of 1 - 1/(1 + 1/(2 - 1/(2 + 1/3))) is :

  23. SSC CPO • 2022

    What is the radius of a normal cylinder whose height is 21 cm and curved surface area is 1386 cm²?

  24. SSC CPO • 2019

    What is the ratio of the total daily sales of newspaper P in cities A and C to the total daily sales of newspaper Q in cities B and D?

  25. SSC CPO • 2024

    tan⁴A + tan²A is equal to:

  26. SSC CPO • 2025

    In a circle of radius 10 cm, a chord of length 16 cm is drawn. Find the distance from the center of the circle to the chord.

  27. SSC CPO • 2022

    A hemispherical bowl of internal diameter 18 cm contains water. This water is to be filled in cylindrical bottles of diameter 6cm and height 3 cm. The number of bottles required to empty the bowl is:

  28. SSC CPO • 2019

    A, B and C enter into a partnership by investing their capital in the ratio of 2/5 : 3/4 : 4/8. After 4 months, A increased his capital by 50% but B decreased his capital by 20%. What is the share of B in the total profit of Rs. 2,82,100 at the end of the…

  29. SSC CPO • 2025

    If the selling price of an item is increased by 25% and the profit also increases from 20% to 30%, what is the percentage increase in the cost price?

  30. SSC CPO • 2022

    If the arc of a circle of radius 30 cm has a length of 19 cm, then the angle (in degrees, rounded off to two decimal places) subtended at the centre of the circle is: (Take π = 22/7)

  31. SSC CPO • 2024

    The distance between two stations A and B is 800 km. A train covers the journey from A to B at a speed of 90 km/h and returns to A with a uniform speed of 65 km/h. Find the average speed of train during the whole journey (in km/h)?

  32. SSC CPO • 2020

    The price of diesel incresed by 16% , A person wants to increase his expenditure on diesel by 10% only, By what percentage , correct to one decimal place, should he reduce his consumption ?

  33. SSC CPO • 2022

    A shopkeeper gives 20% commission on the retail price of one article and earns 5% profit. If his commission is reduced by 10%, then what is his approximate profit percentage? (Nearest integral value)

  34. SSC CPO • 2023

    Study the given table and answer the question that follows. The table shows the number of cakes sold by four different bakeries in 4 different months. [Table] What is the difference between the total number of cakes sold by bakeries Q and S together in…

  35. SSC CPO • 2020

    Pipes A, B, and C can fill a tank in 15, 30 and 40 hours, respectively. Pipes A, B, and C are opened at 6 a.m. and 10 a.m., respectively, on the same day. When will the tank be full?

  36. SSC CPO • 2025

    Simplify: (a + b)² − (a − b)²

  37. SSC CPO • 2022

    The percentage marks obtained by 6 students in different subjects are given below. The maximum marks for each subject have been indicated in the table. [Table] What are the average marks obtained by all students in Geography?

  38. SSC CPO • 2024

    What was the percentage increase in employees in 2022 over 2019?

  39. SSC CPO • 2023

    What is the difference between a single discount of 35% on ₹700 and two successive discounts of 18% and 12% on the same amount (correct to two places of decimals)?

  40. SSC CPO • 2020

    If the difference between the compound interest and simple interest at 17% on a sum of money for 2 years ( compounded annually) is Rs 433.50, then the sum ( in Rs) is :

  41. SSC CPO • 2019

    An observer who is 1.6 m tall is 45 m away from a pole. The angle of elevation of the top of the pole from his eyes is 30º. The height (in m) of the pole is closest to:

  42. SSC CPO • 2019

    Two circles of radii 5 cm and 3 cm intersect each other at A and B, and the distance between their centres is 6 cm. The length (in cm) of the common chord AB is:

  43. SSC CPO • 2023

    Study the given bar graph carefully to answer the question that follows. Marks obtained by four students in Mid-I and Mid-II. [Image] Marks obtained by Hemanth in Mid-I are what percentage of the total marks obtained by all the students in Mid-I?

  44. SSC CPO • 2024

    Find the difference between the lowest percentage increase and the highest percentage increase in the year 2019 - 2020.

  45. SSC CPO • 2023

    If sin θ + cos θ = √(2) cos θ , then find (sinθ-cosθ)/(sinθ) :

  46. SSC CPO • 2022

    A hemispherical bowl of internal diameter 18 cm contains water. This water is to be filled in cylindrical bottles of diameter 6cm and height 3 cm. The number of bottles required to empty the bowl is:

  47. SSC CPO • 2020

    If cotθ = 1/(√3) , 0° (2-sin²θ)/(1-cos²θ) + (cosec²θ - secθ) is:

  48. SSC CPO • 2024

    A bus covers the first 50 km of its journey in 40 minutes and covers the remaining 75 km in 40 minutes. What is the average speed (in km/h) of the bus?

  49. SSC CPO • 2023

    In an election between P and Q, P gets 40% of the total votes and thus loses by 10 votes. The total number of votes is:

  50. SSC CPO • 2025

    A regular pyramid has a square base of side 10 cm and slant height 13 cm. Find the lateral surface area.