Quantitative Aptitude PYQ — Page 329

24,303 questions across SSC exams.

  1. SSC Selection Post • 2024

    What is the mean proportional of 45x⁴ and 5y²?

  2. SSC CGL • 2022

    What is the ratio of the fourth proportional of 2, 5, 6 to the fourth proportional of 6, 8, 9?

  3. SSC MTS • 2022

    S alone can do a piece of work in 14 days. T alone can do the same work in 21 days. U alone can do the same work in 28 days. Working together, in how many days will they complete the work?

  4. SSC CGL • 2023

    Tarun owned a plot of land having an area that was 10% more than the area of the plot owned by Basab, while the area of the plot of land owned by Nakul was 40% more than the area of the plot owned by Tarun. If the area of the plot owned by Nakul was 2695…

  5. SSC CHSL • 2019

    What is the simplified value of 5 ÷ 10 of 10 × 4 + 4 ÷ 4 of 4 × 10 - (10 - 4) ÷ 16 × 4 = ?

  6. SSC Selection Post • 2022

    In an office, 80% workers are men while 20% are women. The average age of the men is 30, and the average age of the women is 40. What is the average age of all the workers in that office?

  7. SSC CGL • 2023

    Aarti can type 85 pages in 10 hours. Aarti and Bina together can type 500 pages in 40 hours. How much time will Bina take to type 40 pages?

  8. SSC CGL • 2025

    A mobile phone retailer sells a phone for ₹P and earns a profit of 20%. For a special festive offer, he marks the same phone at ₹1.5P. At the offer, he provides a discount of 10%. What will be the percentage profit that he will make during the festive offer?

  9. SSC CHSL • 2024

    At an election involving two candidates, 68 votes are declared invalid. The winning candidate gets 52% of the valid votes and wins by 98 votes. The total number of votes polled is:

  10. SSC CHSL • 2022

    Simplify the following expression. (777×777×777)+(423×423×423) over(777×777)-(777×423)+(423×423)× 1 over(77-47)

  11. SSC Selection Post • 2022

    The average weight of P, Q, and R is 47 kg. If the average weight of Q and R is 50 kg and that of R and P is 49 kg, then the average weight (in kg) of P and Q is:

  12. SSC CHSL • 2020

    If M is the mid-point of the side BC of ΔABC, and the area of ΔABM is 18 cm², then the area of ΔABC is:

  13. SSC Selection Post • 2024

    If the average score of a cricketer in three matches is 38 and in two other matches is 23, then what is the average score in all five matches?

  14. SSC CGL • 2022

    In the given figure, a square ABCD is inscribed in a quadrant ACPQ. If the AB = 16 cm, find the area of the shaded region (take π =3.14) correct to two places of decimal. [Image]

  15. SSC Selection Post • 2020

    A is 60% more than B and C is 45% less than twice the sum of B and A. By what percentage is C more than A?

  16. SSC Selection Post • 2023

    If the salary of Reeta is 25% more than the salary of Geeta, then the salary of Geeta is how much percentage less than the salary of Reeta?

  17. SSC CHSL • 2025

    A regular right square pyramid has a base side of 8 cm. An insect crawls from a base corner to the midpoint of an opposite slant edge along the surface by the shortest route. If the perpendicular height of the pyramid is 15 cm, find the slant height.

  18. SSC CGL • 2023

    If sin (a + b) = 1 and cos (a - b) = 1/2 , then find a.

  19. SSC Selection Post • 2024

    An amusement park gives an offer to its customers that one person will be given free entry with four other people. What is the effective percentage discount given by the amusement park?

  20. SSC CGL • 2020

    In the given figure, ΔABC, if θ = 80ᵒ, the measure of the twice the sum of the other two angles will be: [Image]

  21. SSC CGL • 2025

    A triangular flag has base and height in the ratio 5 : 4. If the area is 160 cm², what are the base and height?

  22. SSC GD • 2019

    The line chart given below shows the production (in 10000 s) of cars in 7 different months. [Image] Production of cars in month M4 is what percent of the production of cars in month M2?

  23. SSC CHSL • 2023

    Anil completed a certain journey by a car. If he covered 35% of the distance at 70 in h. 40% of the distance at so kan h sod the remaining distance at 50 km h his average speed (in km hy for the entire journey is

  24. SSC CGL • 2023

    Simplify the following expression. (7.35 × 7.35 - 2.25 × 2.25)/0.24

  25. SSC MTS • 2022

    The average of 10 consecutive integers is (11/2). What is the average of the "smallest four" of these integers?

  26. SSC CGL • 2025

    A store sign is a 5 m × 4 m rectangle with a 2 m × 1 m rectangle cut out. Painting cost is ₹180/m². How much will the painting cost for the exposed area?

  27. SSC CHSL • 2019

    The sugar price got raised by 25%. To maintain the same level of expenses on sugar, a person reduced the consumption of sugar by 4% and also increased his expenditure on sugar by x%. The value of x is:

  28. SSC CHSL • 2023

    A boat can move upstream at 25 km/h and downstream at 35 km/h. What is the speed of the current?

  29. SSC CHSL • 2024

    In a group of 250 persons, 40% are males and 60% are females. If 30 more females join the group, then what will be the percentage of females in the new group? (Correct to 2 decimal places)

  30. SSC CHSL • 2024

    Monthly salary of Jitvik in the month of December 2020 was ₹24,800. Every year his salary increases by 5% from the month of January. What was his salary (in ₹) in the month of February 2022?

  31. SSC CGL • 2022

    A reduction of 15% in the price of wheat enables a housewife to buy 6 kg more for Rs 2720. The reduced price of wheat per kg(in Rs) is:

  32. SSC MTS • 2022

    The average of X, Y and Z is 2X. If the average of Y and Z is 20, then what is the value of X?

  33. SSC CGL • 2024

    If cosecx = 5over 4 , then the value of 5sin²x\ +\ 8cot²x over 27tan²x\ -\ 125cos²x is:

  34. SSC CGL • 2021

    Surbhi sold an article for Rs 176 after giving 12% discount on its marked price. Had she not given any discount; she would have earned a profit of 25%. What is the cost price (in Rs) of the article?

  35. SSC GD • 2021

    A and B can complete a piece of work in 120 days, B and C can complete it in 150 days, and A and C can complete it in 200 days. In how many days can B alone complete two-fifths of the same work?

  36. SSC CGL • 2025

    In an election, 70% of eligible voters cast their votes. Of these votes, 5% were declared invalid. The winning candidate received 15,960 votes, which was exactly 40% of the total valid votes. What was the total number of eligible voters in the election?

  37. SSC CGL • 2020

    If a + b + c = 9 and ab + bc + ca = -22, then the value of a³ + b³ +c³ - 3abc is :

  38. SSC CHSL • 2025

    The total surface area of a solid hemisphere is 300π cm². Find its volume.

  39. SSC Selection Post • 2023

    The following table gives the sales of cars manufactured by a company over the years. Answer the following question based on the data in the table. Number of different types of cars sold (in thousands) [Image] The average sales of all four years is the…

  40. SSC Selection Post • 2019

    500 showpieces were bought by a person for ₹25,000. He spent ₹5000 on some modification of the items. Thereafter he sold them at an overall profit of 10%. What was the selling price of each showpiece?

  41. SSC CGL • 2023

    The centroid of an equilateral triangle PQR is L. If PQ = 6 cm, the length of PL is:

  42. SSC CGL • 2025

    A man spends 70% of his income. His income increases by 10% and his expenditure by 5%. What is the percentage increase in his savings?

  43. SSC CHSL • 2025

    A 3 cm-radius solid metal sphere is melted and reshaped into smaller spheres, each with a 1 cm radius. From the original sphere, how many smaller spheres can be created?

  44. SSC CGL • 2023

    What is the area of the sector of a circle of radius 8 cm and formed by an arc of length 12 cm?

  45. SSC CHSL • 2022

    Which of the following is divisible by 3?

  46. SSC GD • 2019

    The pie chart given below shows the imports of 7 different items P1, P2, P3, P4, PS, P6 and P7 as a percentage of total imports of a country. [Image] If the total import of item P1 is Rs. 33000, then what is the value of imports of item P2?

  47. SSC CHSL • 2023

    Simplify the given expression. ((x+3)³ + (x - 3)³)/((x² + 27))

  48. SSC CHSL • 2023

    Prakash spends 27% of his salary on children's education and donates 4% to a trust in a particular month. He spends Rs 3,038 on these two heads, then his total salary for that month is:

  49. SSC CHSL • 2024

    The curved surface area of a right circular cylinder of height 14 cm, is 88 cm². Find the total surface area of the cylinder.

  50. SSC CHSL • 2024

    In what proportion must tea worth ₹27 and ₹31 per kg be mixed so as to gain 25% by selling the mixture at ₹36 per kg?