SarkariPYQ

Quantitative Aptitude PYQ — Page 402

24,303 questions across SSC exams.

  1. SSC CGL • 2022

    Exactly midway between the foot of two towers P and Q, the angles of elevation of their tops are 45° and 60°, respectively. The ratio of the heights of P and Q is:

  2. SSC CGL • 2020

    Find the height of a cuboid whose volume is 330 cm³ and the base area is 15 cm².

  3. SSC CGL • 2022

    Find the greatest 3-digit number which, when divided by 3,4,5 and 8, leaves remainder 2 in each case.

  4. SSC CHSL • 2025

    If √a + √b = 12 and √a - √b = 4, then what is the value of a + b?

  5. SSC CGL • 2023

    If the price of petrol increased by 7%, then by what percentage should the consumption be decreased by the consumer, if the expenditure on petrol remains unchanged?

  6. SSC CHSL • 2024

    The value of [3³ × {(40 × 5) + (7 × 6)}/11] + (2³ × 15 ÷ 24) is:

  7. SSC CHSL • 2020

    Sachin scored 120 runs, which included 6 boundaries and 4 sixes. What percentage of his total score did he make by running between the wickets?

  8. SSC CHSL • 2024

    The ratio of the total production of type A cars to type B cars over the years is:

  9. SSC CGL • 2023

    If x+1/x=1 , then the value of (x² + 7x + 1)/(x² + 11x + 1)=?

  10. SSC GD • 2019

    The volume of a right circular cone is equal to the volume of that right circular cylinder whose height is 27 cm and diameter of its base is 30 cm. If the height of the cone is 25 cm, then what will be the diameter of its base?

  11. SSC CHSL • 2025

    A trapezoid is formed by cutting a smaller triangle from the top of a larger similar triangle. If the height of the smaller triangle is 1/3 of the height of the larger triangle, what is the ratio of the area of the trapezoid to the area of the larger triangle?

  12. SSC CHSL • 2022

    15 boys and a certain number of girls appeared for a test. The average score of the boys was 26, the average score of the girls was 36, and the combined average score was 30. How many girls appeared for the test?

  13. SSC GD • 2019

    A bowler has taken 0, 3, 2, 1, 5, 3, 4, 5, 5, 2, 2, 0, 0, 1 and 2 wickets in 15 consecutive matches. What is the median of the given data?

  14. SSC MTS • 2019

    A train leaves P at 9 am with speed of 30 km/h. Another train leaves Q at 11 am with speed of 45 km/h. The trains are travelling towards each other on parallel tracks. Distance between P and Q is 300 km. When they meet, what is the ratio of distances covered…

  15. SSC Selection Post • 2022

    The average of 37 numbers is 80. The average of the first 19 numbers is 75 and the average of the last 19 numbers is 84. If the 19^(th) number is excluded, what is the average of the remaining numbers (approximate to one decimal place)?

  16. SSC CGL • 2023

    A thief is spotted by a policeman from a distance of 400m. When the policeman starts chasing, the thief also starts running. If the speed of the thief is 32km/h and that of the policeman is 40 km/h, then how far would the thief have run before he is overtaken?

  17. SSC CHSL • 2024

    A mixture contains alcohol and water in the ratio of 12: 5. On adding 14 liters of water, the ratio of alcohol to water becomes 4: 3. The quantity of alcohol in the mixture is:

  18. SSC CHSL • 2025

    If a - 1/a = 2 then calculate the value of a⁴ + 1/a⁴?

  19. SSC CHSL • 2023

    A shopkeeper allows a 12% additional discount on an initial discount of 20% for a shirt. If he sells the shirt at 704, then the marked price is:

  20. SSC CHSL • 2025

    A sum of ₹40,000 is borrowed for 4 years at a certain rate of interest. If the total interest paid at the end of 4 years is ₹24,000, what is the rate of interest?

  21. SSC CHSL • 2025

    An object is shaped like an ice cream cone, consisting of a hemisphere placed on top of a cone with an identical base radius. The volume of the hemispherical part is 144π cm³, and the height of the conical part is 8 cm. What is the total surface area of the…

  22. SSC CHSL • 2021

    If a⁴ + b⁴ + a²b² = 133 and a²+ b² - ab = 19, then the value of ab will be:

  23. SSC CGL • 2023

    Two chords AB and CD of a circle meet inside the circle at point P. If AP = 12 cm, AB = 20 cm and CP = 16 cm, then CD = ?

  24. SSC CGL • 2025

    Simplify: (1/(5+√(2)))+(1/(5-√(2)))-(10/(25-2))

  25. SSC CHSL • 2024

    A certain sum of money is lent out at simple interest. If that money becomes ₹24,000 in 2 years and ₹32,000 in 4 years, the annual rate of interest is:

  26. SSC Selection Post • 2024

    A shopkeeper marks the price of his goods at 20% higher than the cost price and allows a discount of 10%. What is his profit percentage?

  27. SSC CHSL • 2023

    If θ = 45°, then what is the value of 2cosec²θ + 3sec²θ?

  28. SSC CHSL • 2025

    If sinA = 5/13, find tanA.

  29. SSC Selection Post • 2019

    A trader marks his goods at 35% above the cost price. He sells 80% the goods at the marked price and rest, he sells by allowing 35% discount on the marked price. His profit percent is:

  30. SSC Selection Post • 2020

    Dinesh is travelling on his bike. He will reach point P at 6 p.m. if he travels at 20 km/h. He will reach point P at 2 p.m. if he travels at 30 km/h. At what speed must he travel to reach point P at 4 p.m.?

  31. SSC CHSL • 2025

    Simplify. (2√3 + √2)²

  32. SSC MTS • 2022

    The following bar graph shows the sales of two-wheelers from three different company branches during two consecutive years 2018 and 2019. [Image] What is the average sale of all the branches in the year 2019?

  33. SSC CGL • 2022

    What is the height (in cm) of an equilateral triangle whose side is 8 cm?

  34. SSC CHSL • 2024

    A tangent is drawn from a point that is at a distance of 37 cm from center of the circle O, and diameter is 24 cm. The length (in cm) of the tangent is:

  35. SSC CPO • 2025

    Simplify: (2.1 + 31/5) ÷ 1.1

  36. SSC CGL • 2023

    Which of the following is the lowest ratio?

  37. SSC CHSL • 2025

    If sin 3A = 3/5, find the values of cos 3A and tan 3A.

  38. SSC CHSL • 2024

    Which fruit was the most sold in the month of May and how much more than the lowest-sold fruit in that month ?

  39. SSC Selection Post • 2022

    In △ABC, right angled at B, if cotC = 3, then cosC(sinC + sinA)oversinA(cosC-cosA) is equal to:

  40. SSC CGL • 2023

    Two persons started running on a circular track simultaneously with speeds of 20 m/s and 30 m/s in opposite directions. If the circumference of the circular track is 100 m, then find at how many distinct points they will cross each other?

  41. SSC CGL • 2023

    Simplify the following expression. (x²-2x-63)/(x²+14x+49)

  42. SSC CGL • 2025

    A car traveling at a speed of 50 km/hour can complete a journey in 8 hours. How long will it take to travel the same distance at 40 km/hour?

  43. SSC Selection Post • 2024

    Find the area of an equilateral triangle whose sides are 16 cm each.

  44. SSC CPO • 2025

    A triangular sail has base 10 m and height 8 m. To increase its area by 25% without changing the base, by what percent must the height increase?

  45. SSC CHSL • 2023

    The length of the rectangular sheet of paper is 24 cm more than the breadth, and the perimeter of the rectangular sheet is 128 cm. Find the length of the rectangular sheet.

  46. SSC Selection Post • 2022

    A chord of a circle of radius 21 cm makes a right angle at the centre. Find the area of the major segment (take π = 22/7) closest to the nearest integer.

  47. SSC CGL • 2022

    A person's salary was decreased by 50% and subsequently increased by 50%. BY what much per cent does his salary increase or decrease?

  48. SSC CGL • 2023

    If secA + tanA = 3, then cosA is equal to:

  49. SSC CGL • 2024

    What is the value of D, if A : C = B : D in the given table? [Table]

  50. SSC CHSL • 2019

    The two diagonals of a rhombus are respectively, 14 cm and 48 cm. The perimeter of the rhombus is equal to: