Quantitative Aptitude PYQ — Page 137

24,303 questions across SSC exams.

  1. SSC CGL • 2023

    Simplify the following. (0.01 × 0.01 × 0.01 + 0.003 × 0.003 × 0.003)/(0.05 × 0.05 - 0.015 × 0.05 + 0.015 × 0.015)

  2. SSC GD • 2023

    A can do a piece of work in 51 days and B can do the same work in 34 days. Find the time required to complete the same work if they work on alternate days and A starts the work.

  3. SSC GD • 2019

    Compound interest received on a sum in 5^(th) year is Rs. 1200 (interest is compounded annually). If the rate of interest is 22.5% per annum, then what will be the interest in 6th year?

  4. SSC CHSL • 2025

    If 25% of a number is 80, what is 40% of that number?

  5. SSC GD • 2025

    Gopal sold 152 chairs and had a gain equal to the selling price of 76 chairs. What is his profit percentage?

  6. SSC GD • 2023

    Find the area of the shaded region of the diagram, where ACDF is a rectangle, AC - 90 cm, AF - CD - 20 cm and ED = 10 cm [Image]

  7. SSC CHSL • 2022

    Evaluate the following expression: 3 tan²45° + 2 cos 60° − 2 sin 30°

  8. SSC CGL • 2025

    A sector of a circle with radius 6 cm has a central angle of 60°. What is the area of the corresponding segment?

  9. SSC CHSL • 2020

    If x³ - 6x² + ax + b is divisible by (x² - 3x + 2), then the values of a and b are:

  10. SSC CGL • 2022

    The distance between the two towns is covered in 7 hours at a speed of 50km/h. By how much should the speed (in km/h) be increased so that 2 hours of traveling time will be saved?

  11. SSC GD • 2025

    The population of a district is 327000, out of which 224000 are males. 65% of the population is literate. If 65% males are literate, then what percentage of females are literate?

  12. SSC CGL • 2022

    The total surface area of a cube is 1536 m² .Find its volume.

  13. SSC Selection Post • 2022

    Rahul runs at a speed of 6 km/h in a 100-metre race. Rahul gives Bharat a start of 4 metres and still beats him by 4 seconds. Find Bharat’s speed.

  14. SSC Selection Post • 2019

    Let ΔABC ~ ΔPQR and ar(bigtriangleup ABC) over ar(bigtriangleup QPR) = 9over169 . If AB = 12 cm, BC = 7 cm and AC = 8 cm, then PQ (in cm) is equal to:

  15. SSC CGL • 2022

    Which of the following pairs of non-zero values of p and q make 6-digit number 674pq0 divisible by both 3 and 11?

  16. SSC CHSL • 2023

    Simplify the following expression. (a + b + c)² - (a - b + c)²+ 4ac

  17. SSC GD • 2026

    A is 5 times more than B. A is what percent more than B?

  18. SSC GD • 2021

    A shopkeeper offers 25% discount on the Marked price. Another shopkeeper offers three successive discounts of 5%, 12% and 10% on the same Marked price. The difference between the discounts given by two shopkeepers is:

  19. SSC CGL • 2023

    A thief steals a van at 3:00 a.m. and drives it at a speed of 57 km/h. The thief is discovered at 4:00 a.m., and the owner starts the chase with another van at a speed of 76 km/h. At what time will he catch the thief?

  20. SSC CHSL • 2023

    ∆ABC is similar to ∆PQR. If the ratio of the perimeter of ∆ABC and perimeter of ∆PQR is 24 : 16 and PQ = 4.8 cm, then the length (in cm) of AB is:

  21. SSC GD • 2023

    In 2010, the population of a country was 256080000. By 2020, the population had increased by 10 percent. The population in 2020 is:

  22. SSC GD • 2019

    The data below shows the number of students in class A and B having secured different marks. [Table] What is the combined mean of A and B?

  23. SSC CGL • 2023

    The perimeter of an equilateral triangle is 48 cm. Find its area (in cm²)

  24. SSC GD • 2023

    A lady goes from home to office at a speed of 40 km/h, and returns back at a speed of 70 km/h. What is her average speed during the journey?

  25. SSC GD • 2025

    What is a single discount equivalent to the three successive discounts of 30%, 25% and 40%?

  26. SSC MTS • 2022

    P = 2⁵ × 3⁸ and Q = 2³ × 3^K. If the highest common factor of P and Q is 2³× 3³, then what is the value of K?

  27. SSC GD • 2026

    Cost price of 30 articles is Rs. 260. Selling price of 40 articles is Rs. 260. What is the profit/loss percentage? (Cost price of all the articles is same. Selling price of all the articles is same.)

  28. SSC CGL • 2024

    What annual installment will discharge a debt of ₹26,160 due in 4 years at 6% simple interest p.a.?

  29. SSC CGL • 2022

    A fruit seller sells 45% of the oranges that he has along with one more orange to a customer. He then sells 20% of the remaining oranges and 2 more oranges to a second customer. He then sells 90% of the now remaining oranges to a third customer and is still…

  30. SSC CGL • 2021

    If the 5- digit number 676xy is divisible by 3, 7, and 11 then what is the value of (3x - 5y)?

  31. SSC CHSL • 2025

    A man purchases a certain number of identical calculators at a rate of ₹1,200 per dozen. He sells them at ₹110 per piece. Find how many calculators he bought if his total profit is ₹360.

  32. SSC Selection Post • 2022

    The price of notebooks increased by 150%. How many notebooks can be purchased for the amount of money that was sufficient to purchase 253 notebooks?

  33. SSC Selection Post • 2020

    The following pie chart shows the percentage quantity of fruits at two fruit shops A and B. [Image] What is the difference between the quantity of mangos at these two fruit shops, A and B?

  34. SSC CGL • 2025

    A circle is inscribed within a right triangle. Considering that the lengths of the two legs measure 6 cm and 8 cm, what is the radius of the inscribed circle?

  35. SSC CGL • 2024

    Study the given table and answer the question that follows. The following table shows the percentage distribution of students in four different schools during the years 2021-22. [Table] If there was a total number of 16,000 and 18,000 students during the…

  36. SSC CHSL • 2023

    Rajat, Pooja and Abha participate in the election. If the total votes polled are 40,000, and 10% of the votes are invalid. Rajat got 36% of the valid votes, and Pooja got 40% of the valid votes. Then find the number of votes Abha got.

  37. SSC GD • 2023

    The average of the following numbers is 25. Find the value of X. 24, 30, 12, 18, 20, 10, 40, X

  38. SSC GD • 2025

    Evaluate: 16 + 10 ÷ 5 - 3 × 3

  39. SSC Selection Post • 2024

    A wristwatch is sold for ₹2,700 at a loss of 10%. What is the cost price of the wristwatch?

  40. SSC CHSL • 2025

    Find the value: √? + 14 = √2601

  41. SSC CGL • 2024

    Find the average of the prime numbers lying between 50 and 76.

  42. SSC GD • 2026

    S alone can complete 3/4 part of a work in 18 days. R is 3 times as efficient as S. In how many days will R alone complete the same total work?

  43. SSC CHSL • 2022

    The population of a country has been growing at a rate of 4% every decade. If the projected population of the country in 2030 is given as 1,58,18,400, what was the population of the country in 2000?

  44. SSC CHSL • 2023

    What is the value of (1/2+3/4div1/4+3/4÷ 1/2+1/4)/(3/4× 1/4÷ 1/2-1/2÷ 3/4× 1/4) ?

  45. SSC GD • 2025

    Two trains having lengths of 150 m and 350 m are running at speeds of 60 km/h and 120 km/h, respectively, in the same direction. The time taken (in minutes) by the faster train, coming from behind, to completely cross the other train is:

  46. SSC CGL • 2025

    In a circle, chord AB subtends an angle of 50 ^° at a point C on the circle. What is the angle subtended by the same chord AB at another point D on the same arc as C?

  47. SSC CHSL • 2022

    If a²-4a+1=0 , then the value of a²+a+1/a+1/(a²) is:

  48. SSC CGL • 2021

    △ ABC ~ △DEF. If the areas of △ABC and △DEF are 100 cm² and 81 cm², respectively and the altitde of △DEF is 6.3 cm, then the corresponding altitude of △ABC is:

  49. SSC CGL • 2020

    A boat can go 3 km upstream and 5 km downstream in 55 minutes. It can also go 4 km upstream and 9 km downstream in 1 hours 25 minutes. In how much time (in hours) will it go 43.2 km downstream?

  50. SSC Selection Post • 2024

    If sin A+ cos A=4/3 , then find the value of tan A + cot A.