SarkariPYQ

Quantitative Aptitude PYQ — Page 431

24,303 questions across SSC exams.

  1. SSC CGL • 2020

    A and B enter into a partnership with capital in the ratio 5 : 6. After 4 months, A withdraws 1/5 of his capital, while B increases his capital by 33 1/3 %. What is the share (in Rs lakhs) of B in the annual profit of Rs 6.3 lakhs?

  2. SSC CGL • 2016

    If the three numbers in the ratio 3:2:5 be such that the sum of the squares is equal to 1862 then which number is the middle one.

  3. SSC CGL • 2019

    When the price of an item was reduced by 25%, then its sale was increased by x%. If there is an increase of 20% in the receipt of the revenue, then the value of x will be ?

  4. SSC CPO • 2025

    What is the complement of 22°?

  5. SSC CGL • 2019

    S is the incentre of ΔPQR, If ∠PSR = 125°, then the measure of ∠PQR is:

  6. SSC CGL • 2020

    If x - 3/x = 6, x ≠ 0, then the value of (x⁴ - 27/(x²))/(x²-3x-3) is:

  7. SSC CGL • 2018

    PQR is an equilateral triangle whose side is 10 cm. What is the value (in cm) of the inradius of triangle PQR?

  8. SSC CGL • 2018

    In the given figure, PQ = PS = SR and ∠QPS = 40ᵒ, then what is the value of ∠QPR (in degrees)? [Image]

  9. SSC CGL • 2018

    By selling 21 pots at Rs 2,520, there is a loss equal to the cost price of 3 pots. Find the cost price (in Rs) of each pot.

  10. SSC CGL • 2016

    Let two chords AB and AC of the larger circle touch the smaller circle having the same center at X and Y. Then XY = ?

  11. SSC CGL • 2020

    Find the value of '?' {(4/5) × (8/6)² × 25² × 45} ÷ {128 × 5²× 25} = ?

  12. SSC CGL • 2019

    Study the following graph and answer the question given: [Image] The total production of motorcycles of companies C, D, E is what per cent less than the total demand of motorcycles of all the companies ?

  13. SSC CGL • 2019

    In a constituency, 55% of the total number of voters are males and the rest are the females. If 40% of the males are illiterate and 40% of females are literate, then by what percent is the number of literate males more than that of illiterate females ?

  14. SSC CPO • 2025

    What is the area of a triangle with vertices at (1,2), (5,8), and (10,3)?

  15. SSC CGL • 2020

    The value of (7 + 3sqrt5)/(3+sqrt5) - (7 - 3sqrt5)/(3-sqrt5) lies between:

  16. SSC CGL • 2022

    Two pipes A and B can fill a cistern in 12½hours and 25 hours, respectively. The pipes were opened simultaneously, and it was found that, due to leakage in the bottom, it took one hour 40 minutes more to fill the cistern. if the cistern is full, in how much…

  17. SSC CGL • 2020

    Study the graph and answer the question that follows. [Image] The number of patients aged 10 or more years but below 40 years is what per cent less than the number of patients aged 50 or more years but below 80 years?

  18. SSC CGL • 2018

    If 2x + 3y – 5z = 18, 3x + 2y + z = 29 and x + y + 3z = 17, then what is the value of xy + yz + zx?

  19. SSC CGL • 2018

    The profit margin on a sofa set is 100%. If the cost price of the sofa set falls by 20% then what will be the new profit margin (in %)?

  20. SSC CGL • 2018

    If a + b + c = 7/12, 3a – 4b + 5c = 3/4 and 7a – 11b – 13c = – 7/12, then what is the value of a + c?

  21. SSC CGL • 2016

    Let G be the centroid of an equilateral triangle ABC where the perimeter of the triangle is 24 cm. Then find the length of AG.

  22. SSC CPO • 2025

    The shadow of a vertical tower is 10 meters long when the angle of elevation of the sun is 60°. Find the height of the tower.

  23. SSC CGL • 2018

    If by increasing the price of a ticket in the ratio 8:11 the number of tickets sold fall in the ratio 23:21 then what is the increase (in Rs) in revenue if revenue before increase in price of ticket was Rs 36,800?

  24. SSC CGL • 2019

    The ratio of the incomes of A and B last year was 4 : 3, respectively. The ratio of their individual incomes of the last year and the present year are 3 : 4 and 5 : 6, respectively. If their total income for the present is Rs 8.04 lakhs, then the income of B…

  25. SSC CGL • 2022

    A and B worked together and received a total of Rs. 18000 for 15 days. A's efficiency in the work was 5 times that of B's. The daily wage of A (in Rs.) was:

  26. SSC CGL • 2017

    Two equal circles intersect so that their centres, and the points at which they intersect form a square of side 1 cm. The area (in sq.cm) of the portion that is common to the circles is:

  27. SSC CGL • 2018

    Rs 11,550 has to be divided between X, Y and Z such that X gets 4/5 of what Y gets and Y gets 2/3 of what Z gets. How much more does Z get over X (in Rs)?

  28. SSC CGL • 2020

    If x² + 1/x² = 7, then the value of x³ + 1/x³ where x > 0 is equal to:

  29. SSC CGL • 2016

    The ratio of number of boys to the number of girls in a school of 432 pupils is 5 : 4. When some new boys and girls are admitted, the number of boys increase by 12 and the ratio of the boys to girls changes to 7 : 6. The number of new girls admitted is ?

  30. SSC CGL • 2016

    A and B are the centers of two circles with radii 11 cm and 6 cm respectively. A common tangent touches these circles at P & Q respectively. If AB =13 cm, then the length of PQ is:

  31. SSC CGL • 2020

    If a + b + c = 6, a³ + b³ + c³ - 3abc = 342, then what is the value of ab + bc + ca ?

  32. SSC CGL • 2020

    The number of weeks, in which the cost of living index was 160 or more but less than 190, is approximately what percent more than the number of weeks in which the cost of living index was 200 or more but less than 220 ( correct to one decimal place)?

  33. SSC CGL • 2018

    If 3x + 4y – 11 = 18 and 8x – 6y + 12 = 6, then what is the value of 5x – 3y – 9?

  34. SSC CGL • 2018

    The ratio of ages of the father and mother was 11:10 when their son was born. The ratio of ages of the father and mother will be 19:18 when the son will be twice his present age. What is the ratio of present ages of father and mother?

  35. SSC CPO • 2025

    If sec A = (m² + n²)/(m² − n²), find the value of tan A.

  36. SSC CGL • 2022

    The monthly expenses of a person are 66 2/3 % more than her monthly savings. If her monthly income increases by 44% and her monthly expenses increase by 60%, then there is an increase of Rs1,040 in her monthly savings. What is the initial expenditure (in Rs)?

  37. SSC CGL • 2017

    PQRA is a rectangle, AP = 22 cm, PQ = 8 cm. ΔABC is a triangle whose vertices lie on the sides of PQRA such that BQ = 2 cm and QC = 16 cm, then the length of the line joining the mid points of the sides AB and BC is

  38. SSC CGL • 2018

    150% of 0.05% of x is 75. Find x.

  39. SSC CGL • 2022

    A shopkeeper marks an article at such a price that after giving a discount of 12 1/2 % on the marked price, he still earns a profit of 15%. If the cost price of the article is Rs. 385, then the sum of the marked price and the selling price (in Rs.) of the…

  40. SSC CGL • 2020

    A and B together can do a peice of work in 12 days. A alone can do it in 18 days. In how many days B alone can do the work?

  41. SSC CGL • 2018

    Before a battle the ratio of tanks to planes in an army was 5 : 3. During the war 1000 tanks were destroyed and 800 planes were destroyed. The ratio of tanks to planes become 2 : 1. What is the number of tanks after the war?

  42. SSC CGL • 2019

    When a two digit number is multiplied by the sum of its digits, the product is 424.When the number obtained by interchanging its digits is multiplied by the sum of the digits, the result is 280. The sum of the digits of the given number is ?

  43. SSC CGL • 2019

    In ΔABD, C is the midpoint of BD. If AB = 10cm, AD = 12cm & AC = 9cm, then BD = ?

  44. SSC CPO • 2025

    An equilateral triangle has a side length of 24 cm. What is the radius of its circumcircle?

  45. SSC CGL • 2019

    From the top of a tower, the angles of depression of two objects on the ground on the same side of it, are observed to be 60° and 30° respectively and the distance between the two objects is 400√3 m. The height (in m) of the tower is ?

  46. SSC CGL • 2018

    Cost of 8 pencils, 5 pens and 3 erasers is Rs 111. Cost of 9 pencils, 6 pens and 5 erasers is Rs 130. Cost of 16 pencils, 11 pens and 3 erasers is Rs 221. What is the cost price of 39 pencils, 26 pens and 13 erasers (in Rs)?

  47. SSC CGL • 2016

    Find the fraction which bears the same ratio to 1/27 that 3/7 does to 5/9 .

  48. SSC CGL • 2016

    ΔABC is an isosceles triangle inscribed in a circle. If AB = AC = 12√5 cm and BC = 24 cm then find the radius of the circle.

  49. SSC CGL • 2018

    If x³ – 4x² + 19 = 6(x – 1), then what is the value of [x² + (1/x – 4)]?

  50. SSC CGL • 2022

    ABCD is a cyclic quadrilateral and BC is the diameter of the circle. If ∠DBC = 29º, then ∠BAD = ?