SarkariPYQ

Quantitative Aptitude PYQ — Page 481

24,303 questions across SSC exams.

  1. SSC CPO • 2019

    In triangle ABC, ∠C = 90°, and D is the point on CB such that AD is the bisector of ∠A. If AC = 5 cm and BC = 12 cm, then what is the length of AD?

  2. SSC CPO • 2019

    From the top of a lamp post of height x meters, two objects on the ground on the same side of it (and in line with the foot of the lamp post) are observed at angles of depression of 30º and 60º respectively. The distance between the objects is 32√3…

  3. SSC CPO • 2022

    The angles of a triangle are in the ratio 1 : 1 : 2. What percentage of the total internal angle is the greatest angle?

  4. SSC CPO • 2023

    Simplify the following: 19div5 \ of \ (27-15-21̅)+37

  5. SSC CPO • 2024

    The curved surface area of a cone is 308 cm², and its slant height is 28 cm. Find the radius of its base. (Use π = 22/7 )

  6. SSC CPO • 2024

    What annual installment will discharge a debt of ₹10,192 due in 3 years at 10% simple interest?

  7. SSC CPO • 2025

    In △ABC, the angle bisector AD of ∠A divides side BC. If AB=10 cm, AC=12 cm, and BC=11 cm, what is the length of the segment BD?

  8. SSC CPO • 2020

    Two pipes A and B can fill a tank in 12 hours and 18 hours, respectively. Both pipes are opened simultaneously. In how much time will the empty tank be filled completely?

  9. SSC CPO • 2019

    The sides of a triangular field are 120 m, 170 m, and 250 m. What is the cost of leveling the field at the rate of Rs. 7.40/m²?

  10. SSC CPO • 2022

    The value of 5over2 - 3over7 × 1 4over5 ÷ 36over7over3over2+12over5div31over2times11over4 is :

  11. SSC CPO • 2024

    Find the maximum value of (19 sinθ+6 cotθsinθ)

  12. SSC CPO • 2020

    The value of [Image] sin²52° +2+sin²38° over4cos²43°-5+4cos²47° is :

  13. SSC CPO • 2022

    What is the value of the following in items of trigonoetric ratios? sinA/(1+cosA) + (1+cosA)/sinA

  14. SSC CPO • 2020

    In △ABC, ∠A = 66°, and AB and AC are produced to points D abd E , respectively . If the bisectors of angle CBD and angle BCE meet at the point O, ∠BOC to :

  15. SSC CPO • 2023

    If x⁴ + y⁴ = x²y², then the value of x⁶ + y⁶ is:

  16. SSC CPO • 2022

    If sin² θ = cos³ θ, then the value of (cot² θ - cot⁶ θ) is:

  17. SSC CPO • 2020

    If 4 (cosec²57° - tan²33°) - cos90° - y tan² 66°tan²24° = y/2 , the value of y is :

  18. SSC CPO • 2023

    If θ is an acute angle and sin θ + cosec θ = 2, then the value of sin⁵θ + cosec⁵θ is:

  19. SSC CPO • 2024

    A man wishes to cover a 1 km distance in river water. In still water he takes 12 minutes to cover it, but in the flowing river, he takes 13 minutes. The speed of the flowing water of the river is:

  20. SSC CPO • 2023

    A sphere and another solid hemisphere have the same surface area. The ratio of their volumes is:

  21. SSC CPO • 2019

    The value of [Image] is:

  22. SSC CPO • 2019

    Vaibhav can do a piece of work in 60 days. He works there for 15 days and then Sandeep alone finishes the remaining work in 30 days. In how many days will Vaibhav and Sandeep working together finish the work?

  23. SSC CPO • 2025

    If the radius of the circle is 3cm. What is the length of the longest chord of the circle?

  24. SSC CPO • 2025

    If tan x = 2, find the value of cot(90° − x) + tan(90° − x).

  25. SSC CPO • 2023

    The least number that should be added to 1351 so that the sum is exactly divisible by 2, 4, 6, and 8 is:

  26. SSC CPO • 2022

    With respect to which of the following combinations, is the sales of vehicles highest over the given period?

  27. SSC CPO • 2019

    In which year, were the exports of type B cars exactly 20% more than the exports of type A cars in 2014?

  28. SSC CPO • 2019

    What is the difference between the average percentage of marks in vernacular of the districts (D1, D2, D4) and (D3, D5)?

  29. SSC CPO • 2023

    A shopkeeper marked the price as ₹15,000 on an article, and a successive discount of 5%, 10% and 20% was allowed on it. What is the selling price?

  30. SSC CPO • 2022

    The percentage distribution of Anil's expenditures is presented in the given pie chart. [Image] If Anil's monthly expenditure is ₹65,000, how much money does he spend on Food and Rent?

  31. SSC CPO • 2025

    The chords AB and CD of a circle are equidistant from the center of the circle. If the length of the chord AB = 12 cm. What is the length of the chord CD?

  32. SSC CPO • 2023

    Two pipes can fill a cistern in 12 hours and 16 hours, respectively. The pipes are opened simultaneously and it is found that due to leakage at the bottom, it takes 90 minutes more to fill the cistern. How much time will the leakage take to empty the…

  33. SSC CPO • 2022

    If a + b + c = 10 and a² + b² + c² = 48, then the value of ab + bc + ca is ___.

  34. SSC CPO • 2024

    The distance between the centres of the two circles, with radii 3 cm and 2 cm, respectively, is 13 cm. The length (in cm) of a transverse common tangent is:

  35. SSC CPO • 2024

    The volume of a cube is four times the volume of a cuboid. If the sides of the cuboid are 32 cm, 8 cm and 4 cm, then find the ratio of the total surface area of the cube to that of the cuboid.

  36. SSC CPO • 2024

    The volume of a right circular cone is 150π cm³and its height is 18 cm. Find its slant height (in cm) (correct to 2 decimal places).

  37. SSC CPO • 2023

    The height and the radius of the base of a right circular cone are in the ratio of 12 : 5. If its volume is 314 cm³, then what is the slant height of the cone? (Use π = 3.14)

  38. SSC CPO • 2023

    What is the total number of children in areas P and Q together?

  39. SSC CPO • 2024

    What percentage of respondents aged 31-50 indicated a favorite style other than Pop music (rounded off to 2 decimal places)?

  40. SSC CPO • 2025

    If the area of the circular base of a hemisphere is 308, find the volume of the hemisphere

  41. SSC CPO • 2020

    The number of students who obtained less than 250 marks is:

  42. SSC CPO • 2023

    The following pie chart shows the number of students who failed in different subjects in an examination. Examine the chart and answer the following question. The total number of students who have failed is 350. [Image] The number of students who failed in…

  43. SSC CPO • 2019

    A person travelled from station A to station B at speed of 40 km/h and from B to A at 30 km/h. The entire journey took 6.3 hours. What is the distance (in km) between A and B?

  44. SSC CPO • 2022

    Study the given figure and answer the question that follows. [Image] Find the length of AB in the given triangle, if it is given that the length of BD is 4 unit.

  45. SSC CPO • 2020

    If the volume of a sphere is 4851 cm³, then its surface area ( in cm²) is : ( Take π = 22/7 )

  46. SSC CPO • 2022

    In the given figure, the length of arc AB is equal to twice the length of radius r of the circle. Find the area of sector OAB in terms of the radius r. [Image]

  47. SSC CPO • 2020

    Rice is now being sold at Rs 29 per kg. During the last month, its cost was Rs 25 per kg, By how mauch percentage should a family reduce its consumption , so as to keep the expenditure the same as before ?

  48. SSC CPO • 2024

    The given pie chart shows the budget estimated by a family for their monthly expenses. Monthly expenses = 58,000. [Image] Find the difference between the amount budget amount for grocery and electricity to the amount spent on grocery and electricity, if the…

  49. SSC CPO • 2022

    If the LCM of two numbers a and b is 60 and their HCF is 15. Determine their mean proportion.

  50. SSC CPO • 2023

    In an election, the winning candidate got 75% of the total valid votes, and 5% of the total votes were declared invalid, while the total number of voters was 1,46,000. What is the number of valid votes cast in favor of the winning candidate in an election?