Quantitative Aptitude PYQ — Page 451

24,303 questions across SSC exams.

  1. SSC CPO • 2022

    If the 9-digit number 97 x 4562y8 is divisible by 88, what is the value of (x² + y²) for the smallest value of y, given that x and y are natural numbers?

  2. SSC CPO • 2019

    The total number of trees planted in state B in 2015 and 2017 was what percentage less than the total number of trees planted in state A in 2014, 2016 and 2017? (You answer should be correct to one decimal place.)

  3. SSC CPO • 2022

    If a = 9.6, b = 4.44 and c = 5.16, then the value of a³ - b³ - c³ - 3abc is:

  4. SSC CPO • 2023

    If the marked price is 75% more than the cost price and a discount of 40% is allowed on the marked price, then the percentage profit is:

  5. SSC CPO • 2023

    The following table shows the marks obtained out of 100, by 5 students in 5 different subjects. [Table] What are the total marks scored by Ayush in all the subjects?

  6. SSC CPO • 2023

    In an election, Ajay and Mohan are contesting for the Secretary post in a trade union of 9000 workers. 80% of the workers cast their votes, out of which 20% votes were found invalid. Ajay defeated Mohan by 1152 votes. How many votes did Ajay get?

  7. SSC CPO • 2022

    If a, b, c, are all nozero and a+b+c = 0, and find the value of [Image]

  8. SSC CPO • 2020

    The value of 2/3 ÷ 3/10 of 4/9 - 4/5 × 11/9 ÷ 8/15 - 3/4 + 3/4 ÷ 1/2 is:

  9. SSC CPO • 2022

    If the number of workers in Category B increased by 10% and the number of workers in Category D decreased by 5% in 1996, then what is the total number of workers in Categories B and D in 1996, if the number of workers in B was 1500 in the year 1995?

  10. SSC CPO • 2023

    Rupu’s income is 20% more than Madhu’s income. Madhu’s income is less than Rupu’s income by:

  11. SSC CPO • 2019

    A certain sum (in Rs.) is invested at simple interest at x% p.a. for 5 years. Had it been invested at (x + 5)% p.a., the simple interest would have been Rs. 9200 more than the earlier one. What is the sum?

  12. SSC CPO • 2025

    Expand: (2x - 3)²

  13. SSC CPO • 2024

    Simplify 8.16 × 5.35 + 17.9 - 19.5 of 1/15 + 1/5 .

  14. SSC CPO • 2024

    The chord length of a chord made on an arc of a circle is equal to the radius of the circle. The length of the arc is........(in units). if the radius of the circle is 21 units. (take π = 22/7)

  15. SSC CPO • 2022

    Two circles of radii 8 cm and 3 cm, respectively, are 13 cm apart. AB is a direct common tangent touch to both the circles at A and B respectively then the length of AB is

  16. SSC CPO • 2024

    One laddoo with a radius of 5 cm belongs to a shopkeeper. How many laddoos of radius 2.5 cm may be created from the same one laddoo?

  17. SSC CPO • 2019

    Study the graph and answer the question. [Image] What is the ratio of the number of families whose monthly expenditures on education are below Rs.3000 to the number of families whose monthly expenditures on education are Rs.4000 or above but less than Rs.5500?

  18. SSC CPO • 2019

    In a ΔABC, angle BAC = 90ᵒ. If BC =25 cm, then what is length of the median AD?

  19. SSC CPO • 2019

    If 2 sin Θ + 15 cos² Θ = 7 , 0°

  20. SSC CPO • 2025

    A right square pyramid has a base side measuring 6 cm and a height of 8 cm. Calculate its volume.

  21. SSC CPO • 2022

    Two stations are 120 km apart on a straight line. A train starts from station A at 8 a.m. and moves towards station B at 20 km/h, and another train starts from station B at 9 a.m. and travels towards station A at a speed of 30 km/h. At what time will they…

  22. SSC CPO • 2020

    PQ and PR of △PQR are produced to points S and T, respectively. The bisectors of ∠SQR and ∠TRQ meet at U. If ∠QUR = 59°, then the measure of ∠P is :

  23. SSC CPO • 2022

    The areas of two similar triangles ABC and PQR are 64 cm² and 144 cm², respectively. If the greatest side of the smaller ΔABC is 24 cm, then what is the greatest side of the biggerΔPQR?

  24. SSC CPO • 2019

    The volume of a solid right circular cone is 600π cm³, and the diameter of its base is 30 cm. The total surface area (in cm²) of the cone is:

  25. SSC CPO • 2024

    Find the surface area (in m²) of a cuboid that is 11 m long, 7 m broad and 4 m high.

  26. SSC CPO • 2024

    If two circles of radii 35 cm and 25 cm touch each other externally, then the length (in cm) of a common tangent is (Rounded off to 2 decimal places)

  27. SSC CPO • 2024

    The value of 66 ÷ [34 - (32 of 2 - 4) ÷ (4 × 15)] is equal to:

  28. SSC CPO • 2025

    5 men or 8 women can do a job in 12 days. In how many days will 10 men and 4 women together complete the same job?

  29. SSC CPO • 2023

    If 30% of Ravi’s income is equal to 40% of Suresh’s income, then 50% of Ravi’s income is equal to what percentage of Suresh’s income?

  30. SSC CPO • 2024

    A travels for 8 hours at the rate of 4 km/h and for 4 hours at the rate of 8 km/h. The average speed of the journey (in km/h) is:

  31. SSC CPO • 2023

    If the HCF of 45 and 55 is expressible in the form of 55 × 5 + 45m, then what is the value of m?

  32. SSC CPO • 2024

    A sum of money at compound interest doubles itself in 4 years. In how many years does the sum become 8 times of itself at the same rate of interest?

  33. SSC CPO • 2019

    A batsman scores 92 runs in the 15th inning and thus increases his average by 4. What is his average after the 15th inning?

  34. SSC CPO • 2025

    A circular garden has radius 10 m. What is its area in square meters?

  35. SSC CPO • 2022

    Find the HCF of 364 and 724

  36. SSC CPO • 2023

    The diameter of a hemisphere is equal to the diagonal of a rectangle of length 4 cm and breadth 3 cm. Find the total surface area (in cm²) of the hemisphere.

  37. SSC CPO • 2024

    If 16x⁴ +1 over 16x⁴=14159, then find the value of 2x +1 over 2x.

  38. SSC CPO • 2022

    Simplify the following. 81⁽3/4) + [(20 ÷ 5 space of space 3 × 6) + \(8 ÷ 24 space of space 3) × 4\ - 10 ÷ 5] - (1/32)⁽-2/5)

  39. SSC CPO • 2025

    A fish tank has a length of 90 cm, a width of 50 cm, and a height of 40 cm. How many liters of water can it hold when it is completely filled? (Given: 1 m³ = 1000 liters, and 1 m = 100 cm)

  40. SSC CPO • 2025

    A machine processes 2.4 items per second. How many items does it process in 2.5 minutes?

  41. SSC CPO • 2023

    Simplify the given expression a² - b² -2bc-c² over a² + b² +2ab-c²

  42. SSC CPO • 2025

    A regular right pyramid has a square base of side 8 cm and a height of 3 cm. Find its total surface area.

  43. SSC CPO • 2019

    The cone of the largest volume is cut out from a solid wooden hemisphere. The remaining material is what percent of the volume of the original hemisphere?

  44. SSC CPO • 2022

    If the radius of a sphere increases by 10%, what would be the change in the surface area of the sphere?

  45. SSC CPO • 2024

    The number of females in colleges A and D together is what percentage of the number of males in colleges B and C together (rounded off to two decimal places)?

  46. SSC CPO • 2023

    The table below shows the production of jute fabric (in lakh metre) by two Companies P and Q during 2001 to 2005. [Table] In which year/years, did Company Q produce more fabric than Company P?

  47. SSC CPO • 2024

    Find the value of (1 + cotA - cosecA) (1 + tanA + secA)-3(sin²A + cos²A)

  48. SSC CPO • 2022

    The average export of rice for the years 2010 to 2014 (in Rs. lakh) was:

  49. SSC CPO • 2022

    A gives B a head-start of 10 seconds in a 1500 m race and both finish the race at the same time. What is the time taken by A (in minutes) to finish the race if speed of B is 6 m/s?

  50. SSC CPO • 2019

    Let x be the least number which when divided by 8, 9, 12, 14 and 36 leaves a remainder of 4 in each case, but x is divisible by 11. The sum of the digit of x is ........