Quantitative Aptitude PYQ — Page 475

24,303 questions across SSC exams.

  1. SSC CPO • 2019

    The successive discount of 25%, 20%, and 10% is equivalent of:

  2. SSC CPO • 2019

    Seven years ago the ages of A and B are in the ratio 4:5 and 7 years hence the ages will be in the ratio 5: 6 what will be the ratio of the ages 5 years from now?

  3. SSC CPO • 2023

    Let the speed of the boat in still water be 17 km/h and let the speed of the stream be 5 km/h. What is the time taken by the boat to go 110 km downstream?

  4. SSC CPO • 2023

    The following table shows the percentage of students passing out of four colleges (A,B,C and D) over four years. Study the table and answer the question that follows. [Table] In which college is the average percentage of passing students over the given four…

  5. SSC CPO • 2019

    Twelve solid hemispheres of the same size are melted and recast to in a cylinder of diameter 7 cm and height 28 cm. What is the radius of the hemispheres?

  6. SSC CPO • 2022

    Which of the following is the smallest ratio?

  7. SSC CPO • 2024

    In how many subjects have the students scored 100% marks?

  8. SSC CPO • 2022

    The area of the base of a cone is 616 cm². If its slant height is 20 cm, then what is the total surface area of the cone? [Use π = 22/7]

  9. SSC CPO • 2020

    ABCD is cyclic quadrilateral such that AB is a distance of the circle circum scribing it and ∠ADC = 148°. What is the measure of the ∠BAC ?

  10. SSC CPO • 2023

    Find the value of (sin² 39ᵒ+sin² (90ᵒ-39ᵒ))/(cos² 35ᵒ+cos²(90ᵒ-35ᵒ))+3tan15ᵒtan75ᵒ :

  11. SSC CPO • 2024

    A 320 m long train completely crosses a 240 m long train, coming from the opposite direction, in y seconds. If the first train is travelling at the speed of 44 km/h and the second train is travelling at 56.8 km/h, then what is the value of y?

  12. SSC CPO • 2022

    A and B can complete a work in 10 days and 15 days, respectively. They got a total of Rs. 1,250 for that work. What will be B’s share?

  13. SSC CPO • 2020

    During which week was the fasting blood sugar level of the patient approximately 115.4% above the upper limit of normal PP blood sugar level?

  14. SSC CPO • 2024

    The breadth of a rectangular lawn is decreased by 8% and its length is increased by 15%. Find the percentage change in the lawn area.

  15. SSC CPO • 2019

    If x = 5.51, y = 5.52 and z = 5.57, then what is the value of x³ + y³ + z³ – 3xyz?

  16. SSC CPO • 2025

    If sinA = 3/5 and cosB = 4/5, and both A, B in first quadrant, then sin(A + B) = ?

  17. SSC CPO • 2023

    In a megastore, the following data reveals the units purchased during the years. What is the percentage growth in total units purchased (of all the three products) from 2015 to 2020? [Table]

  18. SSC CPO • 2019

    An article was sold at a certain price. Had it been sold at 4/5 of that price, there would have been a loss of 10%. At what profit percentage was the article sold initially?

  19. SSC CPO • 2024

    Simplify [{38 - ( - 6)} × {9 - (8 - 1)}] ÷ [4 × {6 + ( - 4)}].

  20. SSC CPO • 2023

    In ∆ABC, the bisectors of angle ABC and angle ACB intersect each other at point O. If the angle BOC is 125°, then the angle BAC is equal to:

  21. SSC CPO • 2023

    If cot²θ = 1 - e² , then the value of cosec θ + cot³θ sec θ is:

  22. SSC CPO • 2022

    A can do a piece of work in 10 days, while A and B together can complete it in 21/2 days. How long will B alone take to complete the work?

  23. SSC CPO • 2019

    From a point 12 m above the water level, the angle of elevation of the top of a hill is 60º and the angle of depression of the base of the hill is 30º. What is the height (in m) of the hill?

  24. SSC CPO • 2025

    If an angle is 10° more than twice its complement, what is the angle?

  25. SSC CPO • 2023

    The following table shows the mobile-addicted population of four different cities Hyderabad, Mumbai, Chennai, and Pune and the ration of males to females among them. [Table] Find the total number of addicted males in Chennai.

  26. SSC CPO • 2023

    Travelling a distance of 1000 km, a train slowed down due to repairs to the tracks. Its average speed for the trip was reduced by 75 km/h, and the time of travel increased by 3 hours. The original duration of the travel is:

  27. SSC CPO • 2019

    The volume of a cylinder is 5236 cm³, and its height is 34 cm. What is its curved surface area (in cm²)?

  28. SSC CPO • 2019

    If [Image] where k and p are real numbers and x is not equal to zero, then (k/p) is equal to:

  29. SSC CPO • 2024

    The radius of a hemispherical bowl is 9 cm. The capacity of bowls is : ( use pi = 22/7)

  30. SSC CPO • 2020

    If each side of a rectangle is decreased by 11%, then its area will decrease by :

  31. SSC CPO • 2024

    If a = (√2 - 1 )^(1/3), then the value of ( a - 1/a )³+ 3(a - 1/a ) is :

  32. SSC CPO • 2020

    If 4 - 2 sin²θ - 5cosθ = 0, 0^°

  33. SSC CPO • 2019

    The radius of a cylinder is increased by 120% and its height is decreased by 40%. What is the percentage increase in its volume?

  34. SSC CPO • 2022

    There are three papers in an examination. Marks obtained by four students have been tabulated below: Who are the students who got the highest marks in P1, P2 and P3 respectively? [Table]

  35. SSC CPO • 2022

    The value of sin A over cotA + cosecA - sin A over cotA - cosecA + 1 is:

  36. SSC CPO • 2023

    Two trains of lengths 200 m and 250 m are running on parallel rail tracks at speeds of 68 km/h and 50 km/h, respectively. In how much time (in seconds) will they cross each other if they are running in the same direction?

  37. SSC CPO • 2019

    Pipes A and B are emptying pipes and can empty a tank in 6 hours and 16 hours respectively. C is a filling pipe. All the 3 pipes were opened together. They took 80 minutes to empty 5/18th of the tank. Pipe C alone can fill the tank in?

  38. SSC CPO • 2025

    If an angle is three times its complementary angle, what is that angle?

  39. SSC CPO • 2019

    If 0 θ 90°, and sec¹⁰⁷θ + cos¹⁰⁷θ = 2, then (sec θ + cos θ) is equal to:

  40. SSC CPO • 2020

    A pump can fill a tank with water in 3 hours. Because of a leak, it took 3 1over3 hours to fill the tank. In how many hours can the leak alone drain all the water in the tank when it is full?

  41. SSC CPO • 2024

    A man rows 48 km and back in 48 hours. He can row 4 km with the stream in the same time as 3 km against the stream. The speed of the stream (in km/h) is:

  42. SSC CPO • 2025

    Given a hollow hemisphere with an inner radius of 7 cm and an outer radius of 8 cm, what is its entire surface area?

  43. SSC CPO • 2023

    A train of length 180 m takes 40 seconds to cross a tunnel of length 500 m. What is the speed of the train (in km/h)?

  44. SSC CPO • 2024

    Mitu can do a piece of work in 12 hours, Titu and Situ together in 2 hours, and Mitu and Situ together in 3 hours. How long will Titu alone take to do it?

  45. SSC CPO • 2023

    Two trains Mumbai Rajdhani and Kissan Express of lengths 850 m and 700 m respectively are 1050 m apart and are running on parallel tracks towards each other. Mumbai Rajdhani is running at 62 km/h and Kissan Express is running at 55 km/h. In how much time (in…

  46. SSC CPO • 2022

    The total number of teachers in different subjects and the respective percentage of females among them in a school are given in the following table. Study the table and answer the following question. [Image] What is the ratio of the number of male teachers…

  47. SSC CPO • 2019

    If x² - 4x + 1 = 0, then what is the value of (x⁶ + x⁻⁶)?

  48. SSC CPO • 2025

    The total surface area of a cone is 616 cm² and its base radius is 7 cm. Find the slant height.

  49. SSC CPO • 2022

    The LCM of x and y is 441 and their HCF is 7. If x = 49 then find y.

  50. SSC CPO • 2022

    The value of sin A over cot A+cosec - sin A over cot A-cosec +1 is :