Quantitative Aptitude PYQ — Page 444

24,303 questions across SSC exams.

  1. SSC CPO • 2024

    In ∆ABC, P is a point on AB such that PB : AP = 3 : 4 and PQ is parallel to AC. If AR and QS are perpendicular to PC and QS = 9 cm, what is the length (in cm) of AR?

  2. SSC CPO • 2023

    The value of (a² - (b - c)²)/((a + c)² - b²) + ((b² - (a - c)²)/((a + b)² - c²) + (c² - (a - b)²)/((b + c)² - a²) is:

  3. SSC CPO • 2024

    A man travels some distance at a speed of 12 km/h and returns at a speed of 8 km/h. If the total time taken by him is 3 hours and 45 minutes, then the total distance (in km) travelled is:

  4. SSC CPO • 2022

    If two tangents to a circle of radius 3 cm are inclined to each other at angle of 60°, then the length of each tangent is:

  5. SSC CPO • 2020

    A person sold an article at a loss of 16%. Had he sold it for Rs 660 more, he would have gained 8%. What should be the selling price (in Rs) to gain a profit of 12%?

  6. SSC CPO • 2022

    The following pie charts shows the number of start-ups started in various sectors since 2016 and the number of successful start-ups in those sectors respectively. [Image] Find the ratio of number of successful startups in entertainment sector to the total…

  7. SSC CPO • 2025

    In an election, candidate A got 45% of the votes and candidate B got 30%. What percentage of votes did others get?

  8. SSC CPO • 2022

    A tangent is drawn from an external point ‘A’ to a circle of radius 12 cm. If the length of the tangent is 5 cm, then the distance from the centre of the circle to point ‘A’ is:

  9. SSC CPO • 2020

    A man bought an article and sold it at a gain of 10% . If he had bought the article at 20% less and sold it for Rs1,000 more , he would have made a profit of 40%. The cost price of the article ( in Rs) is :

  10. SSC CPO • 2025

    If the internal diagonal of a cuboid is 13 centimeters, and two of its sides are 3 centimeters and 4 centimeters respectively, what will be the length of the third side?

  11. SSC CPO • 2023

    The radius of the base of a right circular cone is 5 cm. Its slant height is 13 cm. What is its volume (in cm³, rounded off to 1 decimal place)? π = 22 over 7

  12. SSC CPO • 2024

    Simplify: 27 ÷ 4 of 6 × [16 ÷ 8 × (12 − 8)] − (14 ÷ 7 × 28)

  13. SSC CPO • 2022

    If \((sec θ - 1)/(sec θ + 1))\ⁿ= textrm cosecspace θ - cot θ, then n = ?

  14. SSC CPO • 2023

    The salary of Arpit fell by 5% after 1 year and further fell by 8% after the second year due to bad performance. Initially, his salary was ₹80,000. What is his current salary (in ₹)?

  15. SSC CPO • 2025

    What is the minimum number of cuts required to divide a cuboid into 12 equal cuboids?

  16. SSC CPO • 2020

    The number of students who obtained less than 350 marks is what percent more than the number of stdents who obtained 400 or more marks? (correct to one decimal place)

  17. SSC CPO • 2022

    If cos48° =m/n , then sec 48° - cot 42° is equal to:

  18. SSC CPO • 2024

    Find the value of [9+3-2×\ (4 ÷1over4)-4 \+81÷9+81÷9+3-9]+9 .

  19. SSC CPO • 2019

    The marked price of a washing machine is Rs. 7200. If it is sold for Rs. 5512.50 after two successive discounts of x% each. The value of x is:

  20. SSC CPO • 2019

    Pipes A and B can fill a tank in 16 hours, where as pipe C alone can empty the full tank in 24 hours. A and B are opened together for 10 hours and then closed. Pipe C was then opened. The then will now be emptied by C in?

  21. SSC CPO • 2019

    If a train runs at a speed of 48 km/hr, it reaches its destination late by 12 minutes. However, if its speed is 64 km/hr, it is late by 3 minutes late. The right time to cover its journey (in minutes) is:

  22. SSC CPO • 2024

    In which month, did the company produce an equal number of all types of scooters?

  23. SSC CPO • 2023

    The fourth proportional to 0.3, 0.8 and 0.108 is:

  24. SSC CPO • 2024

    A dishonest dealer professes to sell his goods at cost price but uses a false weight of 950 grams instead of 1 kilogram. His gain percentage is:

  25. SSC CPO • 2022

    The following pie charts show the number of start-ups started in various sectors since 2016 and the number of successful start-ups in those sectors respectively. [Image] Find the ratio of the number of successfull start-ups in entertainment sector to the…

  26. SSC CPO • 2023

    If the radius of a sphere is doubled, then its surface area will be increased by:

  27. SSC CPO • 2023

    Train A requires 15 seconds to cross train B of length 300 m moving in the opposite direction at a speed of 36 km/h. Further, train A requires 30 seconds to cross a 500 m long stationary train C. Find the length (in m) of train A.

  28. SSC CPO • 2019

    A sum of Rs. x amounts to Rs.12,777.60 in 2 years at 15% p.a., when the interest is compounded eight-monthly. The value of x is .....

  29. SSC CPO • 2023

    Two numbers are in the ratio 3 : 4. The product of their HCF and LCM is 2700. The sum of the numbers is:

  30. SSC CPO • 2024

    The following pie chart represents the data of movies released in a city throughout the year. [Image] The combined angle made by Jan-Mar and Jul-Sep is ____ than the combined angle made by Apr-Jun and Oct-Dec.

  31. SSC CPO • 2019

    The number of workers whose age is 32 years or more but less than 44 year is:

  32. SSC CPO • 2025

    A cone and a hemisphere have equal curved surface areas and equal radii. Find the ratio of their volumes.

  33. SSC CPO • 2022

    The cost price of an article is ₹1,200. On buying four such articles, the customer gets one for free. If the selling price of each article is ₹1,800, then determine the net percentage profit earned by the shop keeper on selling four articles.

  34. SSC CPO • 2020

    A, B, and C subscribe to a sum of Rs75,500 for a business. A subscribes Rs.3,500 more than B, and B subscribes Rs 4, 500 more than C. Out of a total profit of Rs 45, 300, how much ( in Rs) does A receive?

  35. SSC CPO • 2025

    A cylinder has a radius R and a height 2R. A hemisphere has a radius R. What is the ratio of their volumes (Cylinder: Hemisphere)?

  36. SSC CPO • 2023

    Study the given pie-chart and answer the question that follows. The pie-chart shows the sale of different fruits in a shop in a day. [Image] If a total of 1200 kg of fruits were sold in a day, find the difference between sales of grapes and oranges (in kg).

  37. SSC CPO • 2019

    ABCD is a cyclic quadrilateral. Sides AB and DC, when produced, meet at E, and sides BC and AD, when produced, meet at F. If ∠BFA = 60º and ∠AED = 30º, then the measure of ∠ABC is?

  38. SSC CPO • 2022

    The salaries of A,B and C are in ratio 2 ∶ 3 ∶ 4. If increments of 30%, 20% and 10% are allowed, respectively, in their salaries, then what will be the new ratio of their salaries?

  39. SSC CPO • 2025

    A circle has a radius of 15 cm. If a chord 24 cm long is drawn, what is the perpendicular distance from the center of the circle to the chord?

  40. SSC CPO • 2024

    Two successive price increases of 25% and 25% of an article are equivalent to a single price increase of:

  41. SSC CPO • 2024

    Which of the following statements is/are correct? A. A triangle can have all angles less than 60°. B. A triangle can have one obtuse angle. C. A triangle can have two right angles. D. A triangle can have two acute angles.

  42. SSC CPO • 2019

    The value of [Image] is:

  43. SSC CPO • 2025

    An article bought for ₹150 is sold for ₹135. Find the loss percentage.

  44. SSC CPO • 2019

    In a city, the total number of cars sold across all showrooms is 5000. Showroom B accounts for 22% of the total sales, and showroom D accounts for 9% of the total sales. What is the total number of cars sold from showrooms B and D combined?

  45. SSC CPO • 2022

    If a man goes from place A to B at a speed of 12 km/h and return at a speed of 18 km/h, then the average speed for the whole journey is:

  46. SSC CPO • 2025

    A shopkeeper bought an article for ₹2500 and sold it at a profit of 12%. What is the selling price?

  47. SSC CPO • 2019

    If x - 1/x= 6, then x³ - 1/x³ is equal to:

  48. SSC CPO • 2022

    A shopkeeper allows a discount of 15% on a text book with the marked price Rs. 100. On request, he further allows a discount of 10% on the new price of the goods. What is the overall discount given to the customer?

  49. SSC CPO • 2025

    In a bag, red, blue, and green balls are in the ratio 3:4:5. If there are 48 balls in total, how many are green?

  50. SSC CPO • 2024

    If tan θ =7/24, then find the value of (cos²θ -sin²θ).