SarkariPYQ

Quantitative Aptitude PYQ — Page 484

24,303 questions across SSC exams.

  1. SSC CPO • 2024

    What must be added to (x³ - 3x² + 4x - 75) to obtain a polynomial that is exactly divisible by (x - 5)?

  2. SSC CPO • 2025

    In a circle, chords AB and AC are equal in length. If chord AB subtends an angle of 50° at the center, what is the angle subtended by chord AC at the center?

  3. SSC CPO • 2025

    A chord of length 24 cm subtends a right angle at the center of the circle. What is the radius of the circle?

  4. SSC CPO • 2024

    A thief running at 7 km/h is chased by a policeman whose speed is 12 km/h. If the thief is 280 m ahead of the policeman, then the time required for the policeman to catch the thief will be:

  5. SSC CPO • 2022

    In the given figure, AB = 8 cm; AC = 17 cm. What is the length of AD ? [Image]

  6. SSC CPO • 2019

    A person takes 40 minutes more than his usual time when he covers a distance of 20 km at 5 km/h. If he covers the same distance at 8 km/h, he takes x minutes less than the usual time. What is the value of x?

  7. SSC CPO • 2023

    An item with a marked price of ₹3,800 was sold for ₹3,496, after a discount of y% was offered. What was the value of y?

  8. SSC CPO • 2024

    If tan θ + cot θ = 6, then the value of tan²θ + cot²θ is ____ .

  9. SSC CPO • 2020

    The given bar graph shows the number of students of two schools overa period of six years. [Image] In a bar graph, what is the ratio of the students taken for the years 2009, 2011, 2013 together from school A to the students taken for the years 2008, 2012…

  10. SSC CPO • 2023

    By selling 42 m of cloth, Vijay gains the selling price of 7 m of cloth. Find the profit percentage.

  11. SSC CPO • 2022

    The population of four villages in 4 years is presented in the following table. [Table] What is the average population of village D during all the 4 years?

  12. SSC CPO • 2023

    The square root of (1/4)× (1/9)×(1/25)×(1/49)÷(36/121)

  13. SSC CPO • 2023

    The upstream speed of a boat is 8 km/h and the downstream speed is 15 km/h. What is the speed of the boat in still water and the speed of the stream (in km/h), respectively?

  14. SSC CPO • 2022

    72 ÷ 8 × [{(57 − 49) ÷ 2} + {(85 − 60) ÷ 5} – {(28 − 19) ÷ 3}] is equal to:

  15. SSC CPO • 2025

    In a circle, two tangents PA and PB are drawn from an external point P. If the angle between the tangents ∠APB = 120°, if the radius is 10 cm, what is the length of the segment OP? (use √3 = 1.732)

  16. SSC CPO • 2020

    The base of a triangle is equal to the perimeter of a square whose diagonal is 6√2 cm, and its height is equal to the side of a square whose area is 144 cm². The area of the triangle (in cm²) is :

  17. 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, in which year is the sum of the students from schools A and B taken together , the Minimum ?

  18. SSC CPO • 2019

    In ΔABC, AB = AC and D is a point on side AC such that BD = BC. If AB = 12.5 cm and BC = 5 cm, then what is the measure of DC?

  19. SSC CPO • 2020

    The given bar graph represents the number of boys and girls in five different schools. Study the graph and answer the question that follows. [Image] What is the average number of boys in schools A, B, C, D and E ?

  20. SSC CPO • 2024

    Find the value of [16 ÷ 2 - 7 × 15 ÷ 3 + {(1 + 4) × 5} + 4 × 3 - 10].

  21. SSC CPO • 2022

    If a - 1/(a-5) = 10, then the value of (a-5)³-1/((a-5)³) is:

  22. SSC CPO • 2022

    The following bar graph describes the population of a town (in lakhs) from 2001 to 2007. [Image] Find the percentage increase in population from 2006 to 2007.

  23. SSC CPO • 2019

    If the total number of students in schools D and E exceeds the number of students A by x, then x lies between:

  24. SSC CPO • 2019

    In the given histogram, which class is the median class?

  25. SSC CPO • 2019

    An article is marked at 100% above its cost price. After allowing two successive discounts of 5% and 20% respectively on the marked price, it is sold at x% profit. What is the value of x?

  26. SSC CPO • 2024

    The savings and expenditure of a family in a month on different heads is shown in the given pie chart. The family saves Rs.8,000 per month. [Image] Find the total monthly expenditure (in Rs.) of the family.

  27. SSC CPO • 2025

    A circle is inscribed in a right-angled triangle with legs of length 5 and 12. What is the area of the quadrilateral formed by the two legs and the two radii to the tangent points on the legs?

  28. SSC CPO • 2024

    Solve the equation for A (in degrees): 2 cos²A + 3 cosA - 2 = 0, 0 < A < 90°

  29. SSC CPO • 2022

    The following bar graph describes the population of a town (in lakhs) from 2001 to 2007. [Image] Find the percentage increase in population from 2006 to 2007?

  30. SSC CPO • 2023

    If sin A = 2/3, then find the value of (7 - tan A) (3 + cos A).

  31. SSC CPO • 2024

    Two cars run to a place at the speeds of 45 km/h and 55 km/h, respectively. If the second car takes 40 minutes less than the first for the journey, then what is the length of the journey (in km)?

  32. SSC CPO • 2022

    What will be the actual profit percentage (rounded off to the nearest integer) after selling an article at a certain price, while there occurs a loss of 45% on selling the article at 3/8 of the selling price?

  33. SSC CPO • 2022

    Swati sold a bag to Ankita at a gain of 15%. Aashi bought this bag from Ankita for Rs.24,840. Ankita earned a profit of 20%. At what price would Swati have bought the bag?

  34. SSC CPO • 2024

    The height of a cylinder is 8 cm, and its area of the base is 20 cm² . Find its volume?

  35. SSC CPO • 2023

    If 3 goats or 5 sheep can graze a field in 54 days, then in how many days can 6 goats and 8 sheep graze the same field?

  36. SSC CPO • 2024

    Find the value of [18 - 3 × {3 - 3 × (3 ÷ 1/3 - 3) + 3 ÷ 1/3 + 3} - 4 × 2]

  37. SSC CPO • 2024

    P can do a piece of work in 30 days and Q in 40 days. They work together for 4 days and then Q leaves. The number of days taken by P to finish the remaining work is:

  38. SSC CPO • 2025

    A, B, and C started a business investing Rs. 50,000, Rs. 70,000, and Rs. 90,000, respectively. After 6 months, C withdrew half of his capital. At the end of the year, what is the ratio of their profits?

  39. SSC CPO • 2019

    In a class, there are 54 students. (100/3)% of the number of students are boys and the rest are girls. The average score in mathematics of boys is 50% more than that of the girls. If the average score of all the students is 70, then what is the average score…

  40. SSC CPO • 2020

    How many numbers between 300 and 700 are divisible by 5, 6 and 8?

  41. SSC CPO • 2019

    The value of [Image] is closest to?

  42. SSC CPO • 2022

    If 4 Cos θ + 3 Sin θ = x and 4 Sin θ − 3 Cos θ = y, find the value of x² + y²

  43. SSC CPO • 2022

    A shopkeeper sells his items using a faulty balance which measures 25% less. He then marks up his items 15% above the cost price. If he also gives a discount of 10%, then find his net profit percentage on 1 kg items.

  44. SSC CPO • 2025

    If the centroid of a triangle is (5,5) and two vertices are (2,3) and (4,7), the third vertex is:

  45. SSC CPO • 2023

    A hostel mess requires 217 eggs in a week. How many eggs will it require in total for the months of July, August and September?

  46. SSC CPO • 2023

    The following table gives the number of different types of batteries sold by a company over the years (numbers in hundreds). [Table] What is the difference in the number of 7AH batteries sold in 2021 and 2022?

  47. SSC CPO • 2025

    A cone is cut parallel to its base such that the upper part is 1/3 of the original height. Find the ratio of volumes of the smaller cone to the original.

  48. SSC CPO • 2023

    In a circle centered at O, PQ is a tangent at P. Furthermore, AB is the chord of the circle and is extended to Q. If PQ = 12 cm and QB = 8 cm, then the length of AB is equal to:

  49. SSC CPO • 2019

    If a + b + c = 9 and ab + bc + ca = 18, then the value of a³ + b³ + c³ - 3abc is :

  50. SSC CPO • 2024

    If the sides of a triangle are 7, 12, and x, and x is an integer, then find the number of possible values of x.