SarkariPYQ

Quantitative Aptitude PYQ — Page 177

24,303 questions across SSC exams.

  1. SSC CGL • 2023

    A boat can go 60 km downstream and 40 km upstream in 12 hours 30 minutes. It can go 84 km downstream and 63 km upstream in 18 hours 54 minutes. What is the speed (in km/h, to the nearest integer) of the boat in still water?

  2. SSC Selection Post • 2022

    The average weight of P and his four friends is 52.4 kg. If P is 3 kg lighter than the average weight of his four friends, find the weight of P (in kg).

  3. SSC CGL • 2025

    In a cyclic quadrilateral ABCD, AB is the diameter of the circle. If ∠ACD is 40°, what is the measure of ∠BAD?

  4. SSC Selection Post • 2022

    A man covers a certain distance at the speed of x km/h and returns to the starting point at 56 km/h. If his average speed for the whole journey is 63 km/h, then what is the value of x?

  5. SSC GD • 2025

    Evaluate: 16 + 12 ÷ 4 - 3 × 3

  6. SSC GD • 2025

    When 7516, 7635 and 7992 are divided by the greatest number x, then the remainder in each case is the same. The product of the digits of x is:

  7. SSC CGL • 2019

    If the diameter of the base of a cone is 42 cm and its curved surface area is 2310 cm², then what wil be its volume (in cm³) ?

  8. SSC CGL • 2021

    The angles of a triangle are in AP (arithmetic progression). If the measure of the smallest angle is 50º less than that of the largest angle, then find the largest angle (in degrees).

  9. SSC GD • 2023

    If the radius of the base and the slant height of a cone are 13 cm and 35 cm respectively, then what is the curved surface area of the cone?

  10. SSC CGL • 2023

    If sinA = - 3/5 , A lies in III quadrant, the value of secA is:

  11. SSC CGL • 2025

    A rectangular parallelepiped has dimensions in arithmetic progression. If the sum of its dimensions is 21 cm and the volume is 168 cm³, find its dimensions.

  12. SSC CGL • 2025

    If sin(3x + 10º) = cos(2x - 5º), find x.

  13. SSC CHSL • 2025

    In a ΔABC, side BC is extended to point 'D', such that ∠ACD = 119°. If ∠BAC = (4/3) x ∠ABC, then find the value of ∠BAC.

  14. SSC CGL • 2020

    A person marked his goods at a price that would give him 40% profit. But he declared a sell and allowed 20% discount on the marked price. What is the profit percentage of the person in the whole transaction?

  15. SSC CGL • 2025

    From a location on a bridge spanning a river, the angles of depression to the banks on either side are 30° and 45°. Given that the bridge is 50 meters above the banks, what is the width of the river?

  16. SSC CGL • 2023

    The smallest number added to 888 so that it is exactly divisible by 35 is:

  17. SSC CHSL • 2022

    The pie-chart given below shows the monthly expenditures made by a family under different heads as percentages of the total monthly income of the family. If the total monthly income of the family is is (₹70,000, then what is the monthly expenditure incurred…

  18. SSC CHSL • 2024

    In ∆EFG, XY ∥ FG, area of the quadrilateral XFGY = 44 m² . If EX : XF = 2 : 3, then find the area of ∆EXY (in m² ).

  19. SSC CHSL • 2020

    A woman earns Rs.1,000/day. After some weeks, she earns Rs.1,160/day. By how much percentage did her earnings increase?

  20. SSC CGL • 2020

    A cylindrical vessel of radius 30 cm and height 42 cm is full of water. Its contents are emptied into a rectangular tub of length 75 cm and breadth 44 cm. The height (in cm) to which the water rises in the tub is:

  21. SSC CGL • 2025

    A circular logo of radius 14 cm is fitted perfectly inside a square plaque. Find the area of unused square space around the circle.

  22. SSC CGL • 2025

    Convert (2π)/3 radians to degrees.

  23. SSC GD • 2026

    X alone can do a work in 12 days. Y alone can do the same work in 18 days. Z alone can do the same work in 36 days. All three together complete the work. Wages received by X out of total wages received by X, Y and Z are Rs. 4800. What is the absolute…

  24. SSC Selection Post • 2022

    A second hand car was sold at a profit of 25%. Had it been sold for ₹26,875 less, the profit would have been 12%. What is the cost price(in ₹, to the nearest integer) of the car?

  25. SSC CHSL • 2024

    An election was held between two candidates. The winning candidate scored 54% of the valid votes and won by 88 votes. If 58 votes were declared invalid, then find the total number of votes polled in the election.

  26. SSC CGL • 2024

    The monthly production of electric bulbs by a company during the second half of the year 2021 is shown by the following bar graph. Study the bar graph carefully and answer the question given below. [Image] What is the percentage decrement in the production…

  27. SSC GD • 2019

    An article is sold for Rs. 4777 after giving discount of 15%. What is the marked price of article?

  28. SSC CHSL • 2022

    If a²+b²+1/(a²)+1/(b²)=4,aneq0,bneq0, then the value of a⁴ + b⁴ is:

  29. SSC CGL • 2021

    The average of eleven numbers is 56. The average of first three numbers is 52 and that of next five numbers is 60. The 9th and 10th number are 3 and 1 more than the 11th number prespectively. What is the average of 9th and 11th numbers?

  30. SSC GD • 2023

    The ratio of expenditure to saving of a person is 7 : 3. If the income increases by 12% and the expenditure increases by 8%, then by what percentage his savings will increase? (Correct to 2 decimal places)

  31. SSC GD • 2023

    A scooter's value was reduced by 20 percent and is now worth Rs. 72000. What was its original price?

  32. SSC GD • 2019

    If 20% of A = 35% of B, then A : B = ?

  33. SSC MTS • 2022

    What is the value of (5/11 ÷ 7/25 × 33/28 + 5/12 × 2/3 ÷ 25/27)/(6/11 × 5/12 ÷ 15/44) ?

  34. SSC GD • 2023

    The price of an article is reduced by 10% but the daily sale of the article is increased by 20%. The net effect on the daily sale receipts is:

  35. SSC GD • 2023

    In a town there are 5500 people who can vote in an election. If the number of male voters increases by 11% and female voters increases by 20%, then the number of voters becomes 6330. Find the initial number of male and female voters, respectively, in the town.

  36. SSC CGL • 2023

    If ΔABC and ΔDEF are congruent triangles, then which of the following is FALSE?

  37. SSC CHSL • 2024

    Which type of battery provides the lowest revenue per unit?

  38. SSC GD • 2019

    A : B = 5 : 8 and B : C = 11 : 13. If A = 110, then what is the valuve of C ?

  39. SSC CGL • 2023

    The maximum difference in the number of students in any two classes is what percentage of students in Class 7 (correct to two decimal places)?

  40. SSC GD • 2023

    A and B together can do a piece of work in 12 days, B and C together in 15 days, C and A together in 20 days. If A, B and C work together, then how many days will be required to do the same work?

  41. SSC Selection Post • 2022

    A travelled from a place P to Q at an average speed of 36 Km/h. He travelled the first 75% of the distance in four-fifth of the time and the rest at a constant speed pf x Km/h. The value of x is :

  42. SSC GD • 2023

    If a shopkeeper offers a 10% discount, he makes a 10% profit. Under the same conditions, if he offers a 25% discount, then how much of the profit or loss percentage will he get?

  43. SSC GD • 2025

    Bipin offers a discount scheme that on buying 7 notebooks, get 3 for free. What will be the sale price (in ₹) of a notebook with a marked price ₹185, if the equivalent percentage discount is applied?

  44. SSC CGL • 2025

    If sin x = cos(5x - 60°), then what is the value of x?

  45. SSC GD • 2025

    Evaluate: 32 ÷ 8 × 3 - 3 × 4

  46. SSC CHSL • 2021

    Δ ABC ~ Δ PQR. The perimeters of Δ ABC and Δ PQR are 72 cm and 43.2 cm, respectively. What is the ratio of the area of Δ ABC to the area of Δ PQR?

  47. SSC GD • 2019

    Two numbers are in the ratio 3 : 5. If 9 is subtracted from each, the numbers so obtained are in the ratio 12 : 23. If is 3 added to the smaller number and 7 is subtracted from the other number, there they will be in the ratio:

  48. SSC GD • 2025

    A cylindrical tank has a capacity of 4774 m³. If the radius of the base is 7 m, what is the depth? (Use π = 22over7 ​)

  49. SSC GD • 2023

    A clothing store announced a discount of 30 percent on shirts. Rivaan wanted to save Rs. 810 in discount. How many shirts should he buy to do so, if marked price of each shirt is Rs. 540?

  50. SSC Selection Post • 2023

    By selling 20 items, a shopkeeper gains the selling price of 5 items. His gain percentage is: