Quantitative Aptitude PYQ — Page 141

24,303 questions across SSC exams.

  1. SSC MTS • 2022

    The diameter of a circle is 42 cm. What is the difference between the lengths of the circumference and the radius of the circle? [Use π = 22/7]

  2. SSC CGL • 2022

    If 5 sinθ - 4cosθ =0, 0° (5sinθ -cosθ)/(5sinθ +3cosθ)

  3. SSC Selection Post • 2022

    The average height of a group of 16 students was 164 cm. Four students of height 153 cm, 158 cm, 166 cm, and 145 cm left the group. Nine new students of average height 167 cm joined the remaining group. What is the new average (in cm. to the nearest whole…

  4. SSC GD • 2026

    R did 2/3 part of a work on first day. He did 1/4 part of the remaining work on second day. If the total work is 84 units, then how much work (in units) is remaining now?

  5. SSC CHSL • 2020

    Which of the following numbers will completely divide 7⁸¹ + 7⁸² + 7⁸³?

  6. SSC CHSL • 2025

    If cos A = 5/13 and sin B = 12/13 find sin A cos B + cos A sin B:

  7. SSC Selection Post • 2022

    Arif repaid a loan by paying ₹15,625 after 3 years at a rate of 25% p.a. compounded annually. What was the amount of the loan?

  8. SSC CGL • 2021

    The value of (sqrt2 tan(60 ° - θ)tan(30° + θ))/(sin²(45° - θ)+ cos²(45° - θ)) is:

  9. SSC CGL • 2021

    A, B, and C divide a certain sum of money among themselves. The average of the amounts with them is Rs. 4520. The share of A is 10 2/3 % more than the share of B and 33 1/3 % less than the share of C. What is the share of B (in Rs.)?

  10. SSC Selection Post • 2022

    A shopkeeper earns a profit of 26% on the cost price of an article after giving two successive discounts of 20% and 30% on the marked price to a customer. What would have been the profit percentage had the shopkeeper given a 26% discount only?

  11. SSC GD • 2019

    Vivek, Dev and Lalit alone can complete a work in 10 days, 15 days and 20 days respectively. In how many days Vivek and Dev together can complete half of the same work?

  12. SSC CGL • 2025

    In a circle, the chords AB and CD are equal. The angle subtended by AB at the circumference is 65°. What is the angle subtended by CD at the circumference?

  13. SSC CHSL • 2025

    Simplify the expression: sin x cot x + cos x tan x.

  14. SSC CGL • 2025

    A chord of a circle subtends an angle of 60° at the center. What is the angle subtended at a point on the circle in the same segment?

  15. SSC CHSL • 2019

    If 7 (cosec²55^∘− tan²35^∘) + 2 sin 90^∘− ytan²52^∘ tan²38^∘ = y/2, then the value of y is:

  16. SSC CHSL • 2024

    The value of 10+ 3 3/5 ÷ [2 2/3÷ \ 7 1/6- (2 1/2 + 2/3)\] is equal to:

  17. SSC GD • 2019

    The average monthly expenditure of a family is Rs. 8160 for first 2 months, Rs. 12780 for next 5 months and Rs. 14280 for 5 months. If the family saves Rs. 66300 in the whole year, then what will be the average monthly income of the family?

  18. SSC CHSL • 2025

    A right circular cone has a height of 12 cm and a radius of 5 cm. Find its slant height and curved surface area.

  19. SSC CGL • 2025

    From an outside point P, two tantents, PA and PB, are drawn to a circle. Given that the length of PA is 12 cm, what is the length of PB?

  20. SSC GD • 2024

    The average of five numbers is 32. If one number is removed, then the average becomes 28. What is the removed number?

  21. SSC CGL • 2025

    In a circle, two chords are 7 cm and 9 cm long. If the 9 cm chord is 4 cm away from the center, what can be said about the distance of the 7 cm chord from the center?

  22. SSC GD • 2023

    By compounding annually, the compound interest on a sum of Rs.4,900 in 2 years is Rs.725. What is the rate of interest per annum?

  23. SSC CGL • 2023

    A can complete a work in 18 days, while B can complete it in 12 days. B worked on it for 4 days. How long will A take to finish the remaining work?

  24. SSC GD • 2026

    A, B and C working alone can complete a work in 10, 15 and 30 days respectively. In how many days A, B and C together can complete 30 percent of the same work?

  25. SSC GD • 2025

    Ramu invested some money in HDFC at 4% per annum rate of interest. What would be the corresponding simple interest (in ₹) if after 2 years, Ramu got ₹127.5 as compound interest, considering annual compounding?

  26. SSC CHSL • 2023

    The compound ratio of 3 : 4 and 6 : 7 is 36 : x. Find x.

  27. SSC CGL • 2023

    In an election between two candidates, 10% of the voters in the voter list did not cast their vote, whereas 10% of the votes cast were found to be invalid. The winning candidate got 56% of the valid votes and won the election by a margin of 1,458 votes. What…

  28. SSC CGL • 2025

    For a triangle with one interior angle greater than 90°, where is its orthocenter located?

  29. SSC CGL • 2025

    A tangent line PA is drawn from an external point P to a circle, if the radius is 8 cm and the distance from P to the center is 17 cm, what is the length of the tangent PA?

  30. SSC GD • 2023

    S can complete a task in 50 days, T can complete it in 40 days and M can complete it in 30 days. S can work on all days of the week; T can work only on Monday, Wednesday, and Friday while M can work only on Saturday and Sunday. The work is started on Monday…

  31. SSC CGL • 2024

    The side BC of ∆ABC is produced to a point D. If AC = BC and ∠BAC = 70°, then find the value of ∠ACD − ∠ABC.

  32. SSC CGL • 2023

    The side of an equilateral triangle is 12 cm. What is the area (in cm², rounded off to 2 decimal places) of the triangle? Given: √(3) = 1.732

  33. SSC CHSL • 2020

    If, 2^(x+y-2z) = 8^(8z – 5 – y); 5^(4y – 6z) = 25^(y + z); 3^(4x – 3z) = 9^(x + z) then the value of 2x + 3y + 5z is:

  34. SSC Selection Post • 2022

    The number of students in three sections of a class in a school are in the ratio 5 : 7 : 8.If 20, 25 and 40 more students are admitted in the three sections, respectively, the new becomes 9 : 12 : 16. The total number of students after the new admission is:

  35. SSC CHSL • 2022

    The average of the natural numbers divisible by 5 from the integers −10 to 35 is:

  36. SSC CHSL • 2021

    Study the given bar graph and answer the question that follows. The given bar graph represents the sales Turnover (in Rs crore) of five automobile companies A, B, C D, and E during 2014-2015 and 2015-2016. The X-axis represents the companies, and the Y -axis…

  37. SSC MTS • 2022

    In the first 20 overs of a cricket game, the run rate was only 2.4 per over. What should the run rate in the remaining 30 overs be to reach a target of 308 runs? [Give your answer correct to one decimal place.]

  38. SSC CHSL • 2022

    An arc on a circle that is 15 cm long subtends a 24° angle at the centre. What is the circumference of the circle?

  39. SSC GD • 2021

    A certain sum amounts to Rs. 12740 in 4 years and to Rs. 15925 in 71/2 years at the same rate percentage p.a. at simple interest. The sum (in Rs.) and the rate percentage p.a. respectively are:

  40. SSC CGL • 2021

    Fourth proportion to 12, 18, 6 is equal to the third proportion to 4 k. What is the value of k?

  41. SSC CGL • 2021

    Find the sum of all the possible values of (a + b ) , so that the number 4a067b is divisible by 11.

  42. SSC CHSL • 2024

    The internal length, breadth, and height of a cardboard box are 6 cm, 10 c,m and 12 cm, respectively. How many boxes are needed in which cubes whose volume is 2160 cm³ can be packed?

  43. SSC GD • 2025

    LCM and HCF of two numbers are 168 and 14 respectively. If one of the numbers is 42, then find the other number.

  44. SSC CGL • 2025

    If a triangle has an obtuse angle, where is its Circumcenter located?

  45. SSC CHSL • 2025

    Compare the values: √18, 2√5, and √40. Which is the greatest?

  46. SSC GD • 2026

    A alone can complete 40 percent part of a work in 8 days. What part of this work will be completed by A alone in 15 days?

  47. SSC CGL • 2022

    A vegetable vendor supplies vegetables to a housing complex of 50 families. On a particular day, the break up sale of vegetables is represented in the form of a pie chart as shown. Study the pie chart carefully and answer the question that follows. [Image]…

  48. SSC GD • 2023

    Raj takes twice as much time as Sujay and three times as much time as Ronak to finish a piece of work. If Sujay can do the work alone in 6 days, then in how many days can all three together finish the same work?

  49. SSC Selection Post • 2022

    The given bar graph shows the number of students enrolled in institutes A and B during 5 years (2014 to 2018). Study the bar graph and answer the question that follows. [Image] What is the difference between the average number of students enrolled in…

  50. SSC CHSL • 2023

    Study the given pie chart and answer the question that follows. The pie chart represents the percentage of magazine users in five different cities of India. [Image] What is the central angle made by Bhopal city in the pie chart?