Quantitative Aptitude PYQ — Page 447

24,303 questions across SSC exams.

  1. SSC CPO • 2019

    If [Image] then x²(x² – 47) = ?

  2. SSC CPO • 2025

    The ratio of the dimensions of a rectangular parallelepiped is 2:3:4. If its volume is 768 cm³, what is its smallest dimension?

  3. SSC CPO • 2023

    A can do a certain piece of work in 2.4 times the number of days in which B and C together can do it. If A and B together can do the said piece of work in 27 days and C alone can do it in 75 days, then how many days will B take to do this piece of work alone?

  4. SSC CPO • 2024

    The following bar graph shows the sales (in thousands) of magazines from six branches ( A, B, C, D, E, and F) of a publishing company during two consecutive years 2021 and 2022. [Image] What percentage of the total sales of branch C for both years in the…

  5. SSC CPO • 2022

    The value of (1+ cot A – cosec A)(1 + tan A + sec A) – 1 is:

  6. SSC CPO • 2019

    ΔABC is an equilateral triangle in which D, E and F are the points on sides BC, AC and AB, respectively, such that AD ⊥ BC, BE ⊥ AC and CF ⊥ AB. Which of the followign is true?

  7. SSC CPO • 2020

    If decreasing 110 by x% gives the same result as increasing 50 by x%, then x% of 650 is what percentage more than (x+20)% of 180? (correct to the nearest integer)

  8. SSC CPO • 2019

    A clock tower stands at the crossing of two roads which points in north-southand the east west direction P, Q, R and S are points on the road due north, east, south and west respectively, where the angles of elevation of the top of the tower are respectively…

  9. SSC CPO • 2022

    Calculate the mean from the following table. [Image]

  10. SSC CPO • 2022

    What is the selling price of a dress that has a marked price of Rs. 500 and is given a 20% discount and subsequently a 10% discount?

  11. SSC CPO • 2020

    What is the difference between the average number of Science and Commerce students in the given class over the given period of 4 years?

  12. SSC CPO • 2024

    The value of (21/2 + 13/4 - 1/6 ) × 16 ÷ 49 is :

  13. SSC CPO • 2022

    Find the sum of the numbers between 550 and 700 such that when they are divided by 12, 16, and 24, leave a remainder of 5 in each case.

  14. SSC CPO • 2019

    If a + b + c = 19, ab + bc + ca = 120, then what is the value of a³ +b³ +c³ - 3abc?

  15. SSC CPO • 2023

    The value of 12/5-[33/4÷(11/4div1/2(11/2× 31/3div11/3))] is:

  16. SSC CPO • 2025

    The slant height of a cone is augmented by 20%, while the base radius remains the same. What is the percentage increase in the curved surface area of the cone?

  17. SSC CPO • 2023

    A man runs for 40 km. The time taken by him in the first 10 km is twice the time taken by him in the second 10 km. The time taken in the third 10 km is half of the time taken in the fourth 10 km, and the time taken in the fourth 10 km is equal to the time…

  18. SSC CPO • 2025

    A regular right pyramid has a square base with a side length of 12 cm. Its slant height is 8 cm. What is its volume?

  19. SSC CPO • 2019

    The efficiency of A, B, and C are in the ratio 5 : 6 : 9. Working together, they can complete a work in 18 days. In how many days B can alone complete 25% of the work?

  20. SSC CPO • 2020

    If 4 - 2sin²θ - 5 cosθ = 0, 0°< θ < 90°. then the value of cosθ - tanθ is:

  21. SSC CPO • 2025

    A rhombus has all sides equal to 10 cm and one diagonal is 12 cm. What is the other diagonal?

  22. SSC CPO • 2024

    The speed of a boat when travelling downstream is 33 km/h, whereas when travelling upstream it is 27 km/h. What is the speed of the boat in still water?

  23. SSC CPO • 2024

    If x + y + z = 1, xy + yz + zx = -1 and xyz = -1, then (x³ + y³ + z³) is equals to:

  24. SSC CPO • 2023

    The time taken to travel the same distance by three cars is in the ratio of 12 : 15 : 10. What is the ratio of the speeds of the three cars?

  25. SSC CPO • 2023

    The average weight of 8 students is 48 kg. If four students with an average weight of 44 kg and four students with an average weight of 58 kg are also added, then find the average weight of 16 students.

  26. SSC CPO • 2025

    Rani can complete a stitching order in 24 days. After working for 6 days, her sister joins her, and they finish it in 10 more days. In how many days can her sister alone complete the work?

  27. SSC CPO • 2023

    Sanjay and Rohan can complete a work in 8 days and 12 days, respectively. Starting with Sanjay, they work on alternate days. In how many days will the work be completed?

  28. SSC CPO • 2023

    A solid sphere made of wax of radius 12 cm is melted and cast into solid hemispheres of radius 4 cm each. Find the number of such solid hemispheres.

  29. SSC CPO • 2024

    If the radius of a sphere is increased by 125%, then by what percentage will its surface area increase (correct to two decimal places)?

  30. SSC CPO • 2022

    What is the selling price of a dress that has a marked price of Rs. 500 and is given a 20% discount and subsequently a 10% discount?

  31. SSC CPO • 2023

    Reema runs 5 over 4 times as fast as Rekha. Given this, Reema allows Rekha a lead of 50 meters to Rekha in a friendly race competition. What is the distance from the starting point where both Reema and Rekha meet?

  32. SSC CPO • 2019

    The ratio of the number of boys to that of girls in school C is 6 : 5 and that in school B is 7 : 11, then what is the ratio of the number of boys in school C to the number of girls in school B?

  33. SSC CPO • 2025

    The height of a cone is 30 cm. It is cut by a plane at height 10 cm from the base. What percent of the cone’s volume lies above the cut?

  34. SSC CPO • 2020

    The given histogram shows the frequency distribution of the speed of cars passing though at a particular spot on a highway . study the graph and question that follows. [Image] The number of cars with speed between 70 km/h and 80 km/h is what percentage more…

  35. SSC CPO • 2023

    Study the given table and answer the question that follows. The table shows the number of students in various courses in various cities A, B, C, D and E in India during the academic year 2022-2023. [Table] During the academic year 2022-2023, which city had…

  36. SSC CPO • 2022

    What is the total surface area of a cuboid whose length, breadth and height are 7 cm, 5 cm and 9 cm, respectively?

  37. SSC CPO • 2024

    If 40% of A= 60% of B= 1 over 6 of C, then find the ratio of A : B : C.

  38. SSC CPO • 2019

    The number of students in school E exceeds the total number of students in school A and B by x, where x lies between?

  39. SSC CPO • 2022

    The speeds of A and B are in the ratio 3: 5. A takes 30 minutes more than B to reach the destination. In how much time does A reach the destination?

  40. SSC CPO • 2023

    For a triangle, ABC, D, and E are two points on AB and AC such that AD = 1 over 6 AB, AE = 1 over 6 AC. If BC = 22 cm, then DE is __.(Consider up to two decimals)

  41. SSC CPO • 2019

    Three pipes, A, B and C, can fill a cistern in 12, 18 and 24 minutes, respectively. If all the pipes are opened together for 7 minutes, what will be the volume of the water that overflows as the percentage of the total volume of the cistern?

  42. SSC CPO • 2022

    A shopkeeper claims to sell his articles at ₹20 per kg which cost him ₹23 per kg. But while selling, he uses a false weight and gives only 800 gm instead of 1 kg. What is his profit percentage?

  43. SSC CPO • 2023

    When A alone does a piece of work, he takes 25 days more than the time taken by A and B to do the work together. On the other hand, B alone takes 16 days more than the time taken by A and B to do the work together. How many days will A and B, working…

  44. SSC CPO • 2020

    The radius of the base of a cylinder is 14 cm and its volume is 6160 cm³. The curved surface area (in cm²) is: (Take π=22/7 )

  45. SSC CPO • 2025

    A rectangular tank has a length of 1 meter, a width of 80 cm, and a height of 50 cm. If the tank needs to be covered completely with square tiles of side 20 cm, how many tiles will be required?

  46. SSC CPO • 2019

    A dealer allows 25% discount on the marked price of an article and gains 20%. If the cost price of the article increases by 20%, how much discount percentage should he allow on the market price so as to earn the same percentage of profit as before?

  47. SSC CPO • 2022

    The ratio of the total number of students scoring marks less than 50% to that of scoring marks exactly 50% is: [Table] Study the above table and answer the question.

  48. SSC CPO • 2024

    The following bar graph show the recruitment of employees in different years of a particular department. [Image] The percentage increase in the recruitment of employees from 2017 to 2018 is :

  49. SSC CPO • 2019

    Two different finance companies declare a fixed annual rate of interest on the amount invested by investors with them. The interest rate declared by these companies can vary from year to year depending on the variation in the country's economy and the…

  50. SSC CPO • 2023

    A vendor marked the selling price of a table at ₹5,670 after adding 35% profit to its cost price. Since the sale was very low at this price level, he decided to sell the table with 12% profit. Find the new selling price (in ₹).