SarkariPYQ

Quantitative Aptitude PYQ — Page 445

24,303 questions across SSC exams.

  1. SSC CPO • 2022

    Three persons P, Q, and R run along a circular track at speeds of 3 km/h, 4 km/h, and 6 km/h, respectively. If the length of the track is 36 km, then how much time will they meet again at the starting point?

  2. SSC CPO • 2020

    PA and PB are two tangents from a point P outside the circle with centre O. If A and B are points on the circle such that ∠APB = 142°, then ∠OAB is equal to:

  3. SSC CPO • 2025

    A solid metal sphere that has a radius of 12 centimeters is melted down and reshaped into smaller spheres, each with a radius of 2 centimeters. How many smaller spheres can be created from this material?

  4. SSC CPO • 2022

    Find the greatest number that exactly divides 15, 30 and 40.

  5. SSC CPO • 2022

    If x⁴ + x⁻⁴ = 47, x > 0, then what is the value of x + 1/x - 2 ?

  6. SSC CPO • 2022

    Find the difference between the compound interest and simple interest when a sum of Rs.15,625 is invested for 3 years at 4% per annum.

  7. SSC CPO • 2020

    If a + b + c = 0, then the value of (a²)/(bc) + (b²)/(ca) + (c²)/(ab) is :

  8. SSC CPO • 2024

    The following table gives information of the panchayat election held in four villages P,Q,R, and S. [Table] Find the ratio of invalid votes of village P to that of village S.

  9. SSC CPO • 2023

    A sum of money was invested at 10% interest per year, compounded half-yearly, for 18 months. If the amount payable on maturity was ₹64,827, what was the sum invested?

  10. SSC CPO • 2022

    The least common multiple of 48 and 64 is _ times the highest common factor of 12 and 18.

  11. SSC CPO • 2020

    The two parallel sides of a trapezium are 27 cm and 13 cm, respectively . If the height of the trapezium is 7 cm, then what is its area in m² ?

  12. SSC CPO • 2024

    Arvind works 4 times as fast as Suresh. If Suresh can complete a work in 20 days alone, then find the number of days in which Arvind and Suresh can together finish the work.

  13. SSC CPO • 2024

    Find the curved surface area ( in cm²) of a cone radius 3 cm and height 4 cm.

  14. SSC CPO • 2024

    Find the value of 15% of 1.5 + 0.15 ÷ 0.1 + 0.01 of 1.1 × 0.5 + 2.5 × 25.

  15. SSC CPO • 2024

    If x [ - 5 { - 4 ( - a ) } ] + 6 [ - 3 { -3 ( - a ) } ] = 6a, then the value of x is:

  16. SSC CPO • 2023

    The following table shows the data of 10th grade students of Portland High school. [Table] What is the approximate percentage of the 10th grade boys of Portland High school who are NOT enrolled is Science?

  17. SSC CPO • 2023

    Study the given pie-chart and answer the question that follows. The pie-chart is about Country-wise Global Exports Presentation. [Image] By how much does the value of the exports of the UK exceed that of Australia (in billion Rs)?

  18. SSC CPO • 2025

    If a product price is decreased by 12% and then increased by 15%, what is the net percentage change in price?

  19. SSC CPO • 2025

    The dimensions of a rectangular parallelepiped are in the proportion of 3:4:5. If its volume is 480 cm³, what is its largest dimension?

  20. SSC CPO • 2022

    Find the greatest number that exactly divides 15, 30 and 40.

  21. SSC CPO • 2023

    If a shopkeeper allows a discount of 10% to his customers and still gains 30%, then the marked price of an article which costs ₹450 is:

  22. SSC CPO • 2019

    The average age of husband, wife and child 7 years ago was 42 years and that of wife and child 9 years ago was 36 years. The present age of the husband is :

  23. SSC CPO • 2024

    If aover b+bover a = 1, a ≠ 0, b ≠ 0, then find the value of a³+b³over 3ab .

  24. SSC CPO • 2023

    If cot θ = 4 over 3 , 0 < θ < 90°, 5pcos²θ sinθ = cot²θ, then the value of p is:

  25. SSC CPO • 2022

    A computer marked at Rs.18,000 was sold at Rs.15,840. The percentage of discount is:

  26. SSC CPO • 2019

    What is the central angel (nearest to 0.1 degree) of the seector corresponding to the sales from the showroom C?

  27. SSC CPO • 2019

    A person rows a distance of (15/4)km upstream in (3/2) hours and a distance of 13 km downstream in 2 hours. How much time (in hours) will the person take to row a distance of 90 km in still water?

  28. SSC CPO • 2023

    If the hypotenuse of a right-angled triangle is 29 cm and the sum of the other two sides is 41 cm, then the difference between the other two sides is:

  29. SSC CPO • 2023

    Study the given graph and answer the question that follows. The graph shows data related to number of students enrolled for a vocational course in two institutes (X and Y) during three years. [Image] What is the difference between the average number of…

  30. SSC CPO • 2019

    Two points A and B are on the ground and on opposite sides of a tower. A is closer to the foot of the tower by 42 m than B. If the angle of elevation of the top of the tower, as observed from A and B are 60° and 45°, respectively, then the height of the…

  31. SSC CPO • 2019

    A certain sum (in Rs.) is invested at simple interest at x% p.a. for 5 years. Had it been invested at (x + 5)% p.a. The simple interest would have been Rs. 9200 more than the earlier one. What is the sum?

  32. SSC CPO • 2025

    A right circular cone is cut into two parts of equal height by a horizontal plane. What is the ratio of the volumes of the smaller cone to the frustum?

  33. SSC CPO • 2025

    A rectangular water tank measures 100 cm length, 50 cm width, and 30 cm height. If the tank is filled to 50% of its capacity, how much water (in liters) is in the tank?

  34. SSC CPO • 2023

    A hollow cylindrical tube made of plastic is 3 cm thick. If the external diameter is 20 cm and length of the tube is 49 cm, find the volume of the plastic.

  35. SSC CPO • 2019

    A solid metallic sphere of radius 6.3 cm is melted and recast into cone of height 25.2 cm. What is the ratio of the diameter of the base to the height of the cone?

  36. SSC CPO • 2023

    Study the given table and answer the question that follows. The table shows the number of employees in five different organisations A, B, C, D and E in different departments. [Table] Which department has a minimum number of employees in each organisation?

  37. SSC CPO • 2019

    A kite is flying at a height of 123 m. The thread attached to this assumed to be stretched straight and makes an angle of 60&ordm; with the level ground. The length of the string is (nearest to a whole number):

  38. SSC CPO • 2022

    Ravi buys salt at ₹16 per kg and sells it at ₹18 per kg. He also uses the weight of 900 gm instead of 1000 gm. What is Ravi’s actual profit percentage?

  39. SSC CPO • 2024

    What is the area of the sector of a circle whose radius is 35 cm and whose arc subtends an angle of 72° at the centre of the circle? (π = 22over7 )

  40. SSC CPO • 2020

    The given bar graph shows the number of students of two schools over a period of six years. [Image] In the bar graph, what is the ratio of the average of the total students from school A to the average of the total students from school B?

  41. SSC CPO • 2019

    The value of tan²48&ordm; - cosec²42&ordm; + cosec(67&ordm; + ϴ) - sec(23&ordm; - ϴ) is:

  42. SSC CPO • 2020

    The perimeter of a right triangle is 60 cm and its hypotenuse is 26 cm. What is the area (in cm²) of the triangle?

  43. SSC CPO • 2024

    If sec 6A = cosec (A – 29°), where 2A is an acute angle, then the measure of ∠A = ___°.

  44. SSC CPO • 2022

    A tradesman marks his goods at 26% above the cost price. He allows his customer a discount of 12% on the marked price. His profit per cent is:

  45. SSC CPO • 2019

    The profit on selling an article for Rs 1100 is equal to 3 times the amount of loss on selling it for Rs 700. To gain 12.5% the article must be sold for?

  46. SSC CPO • 2024

    A rectangular sheet of metal is 60 cm by 25 cm. Equal squares of side 5 cm are cut off at the corners and the remainder is folded up to form an open rectangular box. Find the volume of the box.

  47. SSC CPO • 2020

    The value of 7 ÷ [5 + 1 ÷ 2 - {4 + (4 of 2 ÷ 4) + (5 ÷ 5 of 2)}] is :

  48. SSC CPO • 2025

    A man walking at 6 km/h reaches the market in 40 minutes. If he walks at 4 km/h, how long will he take to reach the market?

  49. SSC CPO • 2022

    Study the given table and answer the following. [Image] Which of the cereals shows continuous increase in its production over the years?

  50. SSC CPO • 2023

    Find the value of (tan² θ + tan⁴ θ).