SarkariPYQ

Quantitative Aptitude PYQ — Page 287

24,303 questions across SSC exams.

  1. SSC CGL • 2021

    If x + y = 3 and 1/x + 1/y = - 3/10 , then the value of (x² + y²) is:

  2. SSC CHSL • 2023

    If (x - 1/x ) = 0.4 and x > 0, what is the value of (x² + 1/(x²) ) ?

  3. SSC GD • 2021

    In a transaction, the profit percentage is 48% of the cost. If the cost further increases by 20% but the selling price remains the same, how much is the decrease in the profit percentage?

  4. SSC GD • 2021

    The ratio of train and bus fares from A to B is 3 : 5. If the train fare is increased by 15% and bus fare is increased by 10% then what will be the ratio of the new fares of train and bus?

  5. SSC Selection Post • 2022

    Find the smallest 4-digit number divisible by 8, formed using the digits 0, 2, 3, 4, 6, 8, without any repetition.

  6. SSC CHSL • 2025

    In a circle, there are two parallel chords of lengths 10 cm and 24 cm. Both chords are situated on the same side of the center. If the distance between them is 7 cm, find the area of the circle.

  7. SSC CGL • 2023

    A and B alone can do a piece of work in 4 and 9 days, respectively. In how many days will the work be completed, if they both work on alternate days, starting with B?

  8. SSC CGL • 2021

    If sec 31° = x, then sin²59° + [Image] is equal to :

  9. SSC CGL • 2021

    If 16 x² + y² = 48 and xy = 2, x, y > 0, then the value of (64x³ + y³) is :

  10. SSC CGL • 2022

    A cuboid of length 36 m, breadth 18 m and height 9 m is melted and recast into a cube. Find the length of the diagonal of the cube.

  11. SSC CHSL • 2025

    Deepak spends 75% of his income, whereas Karan spends 80% of his income. Both of them save Rs. 7,500 each. The income of Sanjay is one-third of the sum of the income of Deepak and Karan. If Sanjay spends (7/9)th of his income, then find his savings.

  12. SSC CGL • 2025

    A Cyclist has to cover a distance of 80 km. After cycling for 4 hours and 48 minutes, he finds that he has completed 4 over 5 th of the total distance. What is his speed in km/h?

  13. SSC CHSL • 2021

    If x² + 1 - 2x = 0, x > 0, then x²(x²- 2) = ?

  14. SSC CGL • 2019

    The radii of the two circular faces of the frustum of a cone are 5 cm and 4 cm. If the height of the frustum is 21 cm, what is it volume in cm³? (π = 22/7)

  15. SSC CHSL • 2020

    An article was sold at a loss of 12%. If it was sold for Rs 630 more, then there would have been a gain of 6%. Find the cost price of the article.

  16. SSC CGL • 2021

    Study the following table and answer the question: The number of students enrolled for Vocational Course (VC) in institutes A, B, C, D, E & F. [Table] The ratio of the total number of students enrolled for VC in institutes A, C and E in 2015 to the total…

  17. SSC MTS • 2022

    Study the given table and answer the following question. [Image] As per the data above, the number of men in 2003 is what percentage more or what percentage less than the number of women in the same year?

  18. SSC Selection Post • 2022

    A sum of money amounts to ₹16,800 in one year and to ₹17,472 in one and a half years on the basis of interest compounded semi-annually. What is the rate of interest per annum?

  19. SSC CHSL • 2023

    A is twice as a good worker as B and together they finish the work in 20 days. In how many days can A alone do it?

  20. SSC CHSL • 2023

    Tina alone can do a piece of work in 12 days and Meena alone can do the same work in 15 days. If Tina and Meena undertook to do this work for Rs.18,000, then how much amount will Meena get, if they work together?

  21. SSC CHSL • 2025

    A farmer owns a triangular plot of land with coordinates A(2,3), B(8,3), and C(5,9). He wants to place a scarecrow at the centroid of the field. What are the coordinates of the centroid?

  22. SSC CHSL • 2019

    Six years ago, the ratio of ages of Raman and Karan was 14 : 15. If the ratio of their present ages is 17 : 18, find the ratio of ages of Raman and Karan after 9 years from now.

  23. SSC CGL • 2025

    If the average of ten numbers is 50 and the average of the first six numbers is 45, what is the average of the last four numbers?

  24. SSC GD • 2021

    The cost price of a book is ₹ 250. If the successive discounts offered on the book are 10%, 15% and 20%. then find the total discount on the book?

  25. SSC MTS • 2019

    What is the least number of four digits which is exactly divisible by 2, 4, 6 and 8?

  26. SSC CHSL • 2023

    If √a = 3b, then aover b² is equal to:

  27. SSC Selection Post • 2024

    Simplify the following expression. 49a² + 70ab + 25b²

  28. SSC CHSL • 2023

    If cosecA + cotA = a √(b) , then find the value of ((a²b - 1))/((a²b + 1)) .

  29. SSC Selection Post • 2019

    The average of 61 numbers is 54. The average of first 31 numbers is 50.6 and that of last 31 numbers is 60.4. If the 31st number is excluded, then what is the average of the remaining numbers?

  30. SSC CHSL • 2021

    The value of (96 ÷ 16 of 2 - 128 × 2 ÷ 32 + 15 of 4)/(5/6of2/3( 1/3 - 1/4 - 1/6̅ )) is:

  31. SSC CHSL • 2022

    Study the given table and answer the question that follows: [Table] The average number of tests per day per lakh in the four countries is:

  32. SSC CGL • 2020

    The given table represents are the number of computers sold by four dealers A, B, C and D during the first six months of 2016. Study the table carefully and answer the question that follows. [Table] The total number of computers sold by dealer B in April…

  33. SSC GD • 2019

    The length of a rectangle is 16 cm.If the length of diagonal is 20 cm, then what will be the breadth of the rectangle?

  34. SSC Selection Post • 2022

    Mukesh sells 80% part of a commodity at a profit of 20% and rest of the part at a loss of 5% and in this way earns a profit of ₹9,300. What was the cost price of the commodity for Mukesh?

  35. SSC CHSL • 2020

    If the angle between two radii of a circle be 130ᵒ, then the angle between the tangents at the end of these radii (in degrees) is:

  36. SSC CGL • 2022

    A person's salary was increased by 50% and subsequently decreased by 50%. How much percentage does he lose or gain?

  37. SSC CGL • 2020

    The value of 3 - (9 - 3 × 8 ÷ 2) is

  38. SSC CGL • 2023

    In the shown figure, BC is a chord and CD is a tangent through the point C. If ∠AOC = 112°, then find ∠ACD. [Image]

  39. SSC CHSL • 2023

    20% of A's income is equal to 10% of B's income. IF A's income is Rs. 2550, then what is B's income?

  40. SSC CGL • 2023

    In the given figure, the length of arc AB is equal to 3 times radius r of the circle. [Image] Find the area of sector OAB in terms of radius r.

  41. SSC Selection Post • 2024

    The base of a parallelogram is thrice its height. If the area of the parallelogram is 1020 cm² , then what is its height?

  42. SSC Selection Post • 2022

    Given that ∆MAN and ∆CPT are congruent to each other, such that ∠M = 75, ∠N = 65, ∠A = 40, ∠C = x/2, ∠P = 6y + 16. Find the value of (x – 5y).

  43. SSC CGL • 2022

    The area of a cardboard (in cm²) needed to make a closed box of size 20 cm × 10 cm × 8 cm will be:

  44. SSC CGL • 2023

    If (a + b + c) = 13, and (ab + bc + ca) = 54, find the value of (a² + b² + c²).

  45. SSC MTS • 2019

    An article is sold at 142/7 % profit.What is the ratio of the selling price to the cost price ?

  46. SSC Selection Post • 2022

    P, Q, and R participated in a cycle race of 4000 metres. P cycles twice as fast as Q, and R cycles 1/2 as fast as Q. If R completes the race in 40 minutes, then what is the speed (in km/h) of P?

  47. SSC CGL • 2023

    The fourth proportional to 8, 32 and 13 is:

  48. SSC Selection Post • 2022

    A man is delayed in reaching his workplace by 30 minutes due to bad traffic as he can drive drive at 7over9 of his usual speed. What is his usual time(in hours and minutes) of travel?

  49. SSC CGL • 2022

    PQ and RS are two parallel chords of a circle of length 14 cm and 48 cm, respectively, and lie on the same side of the centre O. If the distance between the chords is 17 cm, what is the radius (in cm) of the circle?

  50. SSC CHSL • 2023

    What will be the perimeter (in cm) of the sector of a circle of radius 4.9 cm having central angle 144° (use π = 22/7 )?