SarkariPYQ

Quantitative Aptitude PYQ — Page 209

24,303 questions across SSC exams.

  1. SSC GD • 2023

    Without stoppages a train travels a certain distance with an average speed of 75 km/h and with stoppages it covers the same distance with an average speed of 65 km/h. How many minutes per hour does the train stop?

  2. SSC GD • 2025

    The price of fuel decreases by 10%, 50% and 50% in three successive months, but increases by 45% in the fourth month. What is the percentage increase/decrease in the price of fuel in the fourth month as compared to its original price?

  3. SSC CGL • 2024

    In an election between two candidates, the one who gets 88% of the votes is elected by a majority of 684 votes. What is the total number of votes polled? (all polled votes are valid)

  4. SSC CHSL • 2023

    A sum of money at simple interest amounts to Rs. 403 in 3 years at the rate of 10% per annum. What is the value of the sum?

  5. SSC CHSL • 2024

    A sells an object to B at 10% profit, B sells it to C at 60% profit and C sells it to D at 12 1over2 % profit. If D paid ₹59.40, then at what price did A buy it?

  6. SSC CHSL • 2021

    The speed of a train is 78 km/h. It crosses a tunnel in 45 s and overtakes a person walking at a speed of 6 km/h, in the same direction, in 15 s. The length (in m) of the tunnel is:

  7. SSC CGL • 2019

    A journey of 96 km takes one hour less by a fast train (A) than by a slow train (B). If the average speed of B is 16 km/h less than that of A, then the average speed (in km/h) of A is:

  8. SSC CGL • 2023

    The mean proportional between 7 and 112 is:

  9. SSC CGL • 2023

    If (x² + 1/(x²))=6 , and 0 x⁴ - 1/(x⁴)?

  10. SSC Selection Post • 2020

    A is 35% more than B, B is 25% less than C and C is 20% more than D. Which of the following is true?

  11. SSC GD • 2025

    By selling an article for ₹4,824, a man gains 20%. What will be his profit percentage(rounded off to the nearest integer) if he sells it for ₹6,000?

  12. SSC CHSL • 2023

    Instead of increasing a number successively by 20 percent and 30 percent, it is decreased by 22 percent. Resultant value is what percentage of the required correct value?

  13. SSC CGL • 2025

    A right-angled triangle has a hypotenuse of 13 cm and one leg of 5 cm. A second right-angled triangle is similar to the first, and its hypotenuse is 39 cm. What is the area of the second triangle?

  14. SSC CHSL • 2025

    A rhombus-shaped support structure has sides 10 cm and one diagonal 16 cm. What is the other diagonal?

  15. SSC CGL • 2024

    In a company, the ratio of men and women is 5 : 3, respectively. When 150 additional women are employed in the company, the ratio becomes 5 : 4. How many men are employed in the company?

  16. SSC GD • 2021

    If the diameter of a sphere is 56 cm, then what is its surface area? (Take π = 22/7)

  17. SSC Selection Post • 2022

    In ∆ABC, D and E are points on sides AB and BC, respectively, such that DE ǁ AC. If BD= 4√(6) and AB= 12√(3) , then the ratio of the area of ∆BDE to that of quadrilateral ACED is:

  18. SSC GD • 2023

    P, Q and R can complete a task in 20, 30, and 60 days, respectively. How many days will it take to finish the work if P is helped by Q and R every third day?

  19. SSC CHSL • 2023

    An incircle with center O is drawn inside an equilateral ΔABC, and the length of the side is 12 cm. Find the area (in sq.cm) of the triangle that is not in the incircle.

  20. SSC MTS • 2022

    In what ratio, should rice at ₹ 60 per kg be mixed with rice at ₹ 42 per kg such that by selling the mixture at ₹ 56 per kg there is a gain of 12%?

  21. SSC CGL • 2022

    The following table shows the shares traded on Mumbai, Rajasthan, Uttar Pradesh and Uttarakhand stock exchanges: [Image] The average of the high rates of the shares in all the four stock exchanges for Kolgate is:

  22. SSC Selection Post • 2020

    If the speed of a train is increased by 30%, it takes 36 minutes less to cover the same distance. What is the time taken (in hours) to cover the same distance with the original speed?

  23. SSC CHSL • 2023

    A family consists of a father, mother, and son. The ratio of their present ages is 8 : 5 : 2 and the present age of the father is 48 years. What will be the average age of the family after 3 years?

  24. SSC CGL • 2020

    If A + B = 12 and AB = 17, what is the value of A³ + B³ ?

  25. SSC CGL • 2019

    When x is added to each of 2, 3, 30 and 35, then the numbers obtained in this order, are in proportion. What is the mean proportional between (x + 7) and (x – 2)?

  26. SSC GD • 2023

    The current birth rate per ten thousand is 450, whereas the corresponding death rate is 120 per ten thousand. Find the net growth rate in terms of the population increase in percentage.

  27. SSC CHSL • 2023

    Disha takes 12 hours to copy a 75-page manuscript, while Mohit can copy the same manuscript in 10 hours. How many hours will it take for them to copy a 150-page manuscript if they work together?

  28. SSC GD • 2024

    A person sells pencils at a profit of 30 percent. If he reduces its selling price by Rs. 200, then he suffers a loss of 10 percent. What was the initial selling price of the pencil?

  29. SSC CGL • 2021

    What is the coefficient of x in the expansion of (3x - 4)³?

  30. SSC GD • 2025

    What is the highest number between 5000 and 5500, which when divided by 12,16 and 24, would leave a remainder 9?

  31. SSC CHSL • 2021

    Two positive numbers are in the ratio 8: 13. If the sum of their squares is 2097, then the sum of the two numbers is:

  32. SSC CGL • 2018

    A solid sphere has a radius 21 cm. It is melted to form a cube. 20% material is wasted in this process. The cube is melted to form hemisphere. In this process 20% material is wasted. The hemisphere is melted to form two spheres of equal radius. 20% material…

  33. SSC CGL • 2022

    The difference of two numbers is 1564. After dividing the larger number by the smaller, we get 6 as quotient and 19 as remainder. What is the smaller number?

  34. SSC CGL • 2023

    A alone can finish a work in 15 days. A works only for the first two days and the last two days. The rest work is done by B and the work is completed in 20 days. In how many days A and B together can finish the work?

  35. SSC CHSL • 2024

    ∆ABC is similar to ∆DEF, and the ratio of the area of triangle ABC to triangle DEF is 25 ∶ 144. If AB = p cm, AC = q cm, and BC = r cm, then DE =?

  36. SSC CHSL • 2019

    If 3√3x³- 2√2y³= (√3x - √2y)(Ax²+ Cy²- Bxy), then the value of (A² + B² + C²) is:

  37. SSC CGL • 2025

    A person invested ₹25,000 in two schemes – Scheme A at 12% p.a. and Scheme B at 8% p.a., both under simple interest. After 1 year, the total interest from both schemes was ₹2,560. How much was invested in Scheme A?

  38. SSC CGL • 2025

    Two parallel lines are intersected by a transversal. If a pair of corresponding angles is formed, and one measures 130°, what is the measure of the other angle?

  39. SSC CHSL • 2022

    On reducing the marked price of his goods by Rs.28, a shopkeeper gains 20%. If the cost price of the article be Rs.560 and it is sold at the marked price, what will be the gain percent?

  40. SSC CHSL • 2024

    A circle of diameter 26 cm has two equal parallel chords of length 10 cm each, then the distance between the two chords is:

  41. SSC CPO • 2025

    A product is sold at 25% profit. If the cost price is ₹240, find the selling price.

  42. SSC GD • 2021

    Vignesh spends 42% of his monthly salary on food, 16% on house rent, 11% on entertained and 7% on conveyance. But due to some family function, he has to borrow Rs 12,000 from a money lender to meet the expenses of Rs 18,000. What is his monthly salary?

  43. SSC GD • 2023

    Two athletes A and B are running on a circular track of length 1800 m from the same starting point at the same starting time,at the speeds of 9 m/s and 6 m/s, respectively. At how many distinct points will they meet while running in opposite directions?

  44. SSC CGL • 2024

    M and N walk along a circular track. They start at 5:00 a.m. from the same point in the opposite directions. M and N walk at a speed of 5 rounds per hour and 2 rounds per hour, respectively. How many times will they cross each other before 6.30 a.m. on the…

  45. SSC CGL • 2025

    In a quadrilateral ABCD, AB || CD, and AC is a diagonal. If AB = CD, which of the following is true?

  46. SSC CGL • 2024

    Simplify [1−sin²32°+1over 1+tan²58°] .

  47. SSC CHSL • 2025

    The population of a town increases by 10% annually. If the current population is 24,200, what was the population 2 years ago?

  48. SSC CHSL • 2023

    Find the average of prime numbers lying between 69 and 92.

  49. SSC GD • 2026

    The ratio of two number A and B is 7 : 5. If both numbers are increased by 3, then the ratio of A and B becomes 4 : 3. What is the sum of initial values of A and B?

  50. SSC MTS • 2022

    What is the value of 0.0045 ÷ 4.5 × 100 − 45 ÷ 5 ?