SarkariPYQ

Quantitative Aptitude PYQ — Page 257

24,303 questions across SSC exams.

  1. SSC CGL • 2024

    The radii of the two circles are 5 cm and 10 cm and the distance between their centers is 17 cm. Find the length of the transverse common tangent.

  2. SSC CHSL • 2025

    A person covers some distance by car, travelling at 45 km/h in 4.6 hours, and the remaining distance by bus, travelling at 37.5 km/h in 4.2 hours. Find the total distance travelled by the person.

  3. SSC GD • 2019

    A pipe can fill a tank in 10 minutes while another pipe can empty it in 12 minutes. If the pipes are opened alternately each for 1 minute, beginning with the first pipe. the tank will be full after (in minutes):

  4. SSC CGL • 2022

    If (mathoprm anolimits ² + mathoprm bnolimits ² + mathoprm cnolimits ² - 1024)/(mathoprm abnolimits - mathoprm bcnolimits - mathoprm canolimits ) = - 2 and a + b = 5c, where c > 0, then the value of c is _____.

  5. SSC CGL • 2025

    A can do a work in 6 days and B in 9 days. They work together for 3 days. What part of the work is left?

  6. SSC CHSL • 2022

    The table below gives the numbers of seats own in the local body elections in a state by different political parties in the years 2019 and 2014. [Table] Find the ratio of the total number of seats won by ConParty in 2014, Kanta dal in 2019 and Shiv party in…

  7. SSC Selection Post • 2024

    If sin(5x – 40°) = cos (5y + 40°), then the value of x + y is:

  8. SSC CHSL • 2023

    How many prime numbers are there between 20 and 50?

  9. SSC CHSL • 2023

    How long {in years} will a sum of money invested at 6% per annum simple interest to increase its value by 40%?

  10. SSC CGL • 2023

    A thief is spotted by a constable from 200 m. When the constable starts the chase, the thief also starts running. If the speed of the constable is 8 km/h and the thief runs at a speed of 6 km/h, then how far (in m) will the thief be able to run before he is…

  11. SSC CHSL • 2025

    A, B, C together finish a job in 8 days. A and B together take 12 days, while B and C together take 16 days. In how many days can C alone finish the job?

  12. SSC CHSL • 2020

    ABCDE is a regular pentagon, Its sides are extended as shown in the figure. The value of [Image] is: [Image]

  13. SSC MTS • 2019

    A man sold a watch at a discount of 60% for Rs. 1560. What is the marked price of the watch?

  14. SSC CHSL • 2023

    In a triangle DEF, DP is the bisector of ∠D, meeting EF at P. If DE = 14 cm, DF = 21 cm, and EF = 9 cm, find EP.

  15. SSC CHSL • 2023

    The algebraic expression 2x² - 32 is equal to __ .

  16. SSC CGL • 2023

    If (cos α)/(sin β)=10 \ and \ (cos α)/(cos β)=11 then the value of cos2 β = 11, then the value of cos²ẞ is:

  17. SSC GD • 2019

    The average monthly salary of 30 employees and 5 managers is Rs. 80000. One manager with salary Rs. 180000 is replaced by a new manager. If the average monthly salary now becomes Rs. 78500, then what is the monthly salary of the new manager?

  18. SSC CHSL • 2024

    If √13 sinθ = 2, then the value of (3tanθ + √13sinθ)/(√13cosθ - 3tanθ) is:

  19. SSC CHSL • 2025

    An item bought for Rs. 250 is sold at Rs. 300. Find the profit percentage.

  20. SSC CHSL • 2020

    If one side of a triangle is 7 with its perimeter equal to 18, and area equal to √(108), then the other two sides are:

  21. SSC CGL • 2022

    The bar graph shows the percentage distribution of the expenditure of a company under various expense heads during 2003. [Image] If the interest on loans amounted to ₹3.15 crores, then the total amount of expenditure on salary, taxes and infrastructure is:

  22. SSC CHSL • 2023

    What is the value of p, if, 25(4 + 3p) ÷ 5 - 3 × 8 = 26?

  23. SSC CHSL • 2022

    A seller gives 4 toys free of cost on buying 14 toys. What percent does the customer get as a discount?

  24. SSC GD • 2019

    If Rohit alone can complete one-fourth of a work in 32 days, then in how many days Rohit alone can complete the whole work?

  25. SSC CHSL • 2023

    Rohit buys a ball for Rs. 700. Rohit gives two successive discount of 20% and 40% to the customer on this ball. What will be the selling price of the ball?

  26. SSC CGL • 2024

    On dividing a number by 55, we get 28 as the remainder. On dividing the same number by 11, what is the remainder?

  27. SSC CHSL • 2024

    A retailer purchased a batch of goods for Rs. 5,000. Due to a manufacturing defect, 5% of the goods were damaged. if the retailer wants to make a profit of 20% on the remaining goods, at what price should the undamaged goods be sold?

  28. SSC GD • 2019

    The bar chart given below shows the amount of sugar used in making 7 different varieties of sweets S1, S2, S3, S4, S5, S6 and S7 has been shown as a percentage of total weight of the sweet. [Image] The total weight of sweet S4 is 150 kg. What is the amount…

  29. SSC CGL • 2022

    The number of students in a class is 45, out of which 33 1/3 % are boys and the rest are girls. The average score of girls in Science is 66 2/3 % more than that of boys. If the average score of all the students is 78, then the average score of girls is:

  30. SSC Selection Post • 2024

    A boat covers a distance of 72 km downstream in 6 hours, while it takes 12 hours to cover the same distance upstream. What is the speed of the boat?

  31. SSC CHSL • 2025

    A metal hemisphere of radius 12.6 cm is melted to form a right circular cylinder. The ratio of the cylinder's curved surface area to total surface area is 1 : 2. Calculate the radius of the base of the cylinder. Use π = 22/7. (in approx)

  32. SSC CHSL • 2021

    Study the given table and answer the question that follows. In the table, the annual consumption (in hundred tonnes) of coffee in five states (A, B, C, D and E) across six years (2014 to 2019) is given. [Table] By what percentage is the total consumption of…

  33. SSC GD • 2021

    A man goes to his office from his house at a speed of 4 km/h and returns at a speed of 2 km/h. If he takes 6 hours in going and coming, what is the distance between his house and office?

  34. SSC CHSL • 2025

    A person takes a loan of ₹25,000 for 2 years at a rate of interest of 5%. What will be the total amount to be paid after 2 years?

  35. SSC CGL • 2023

    The following data shows the number of boys and girls in Class VII, Class VIII, Class IX and Class X of a school. Study the data and answer the question. [Image] Which class has the maximum number of students?

  36. SSC MTS • 2022

    Vishal and Param each sold their article at ₹1,818 but Vishal incurred a loss of 10%, while Param gained by 1%. What is the ratio of the cost price of Vishal's article to that of Param's article?

  37. SSC CHSL • 2024

    In an election, a candidate secured 41% of the votes polled and lost the election by 97,632. What is the number of votes obtained by the winning candidate?

  38. SSC MTS • 2022

    The average weight of 20 boxes of oranges is 2 kg, and the average weight of 30 boxes of mangoes is 3 kg. Find the average weight of these boxes of fruits, taken together.

  39. SSC CGL • 2024

    In a division problem, the divisor is 4 times the quotient and 2 times the remainder. If the remainder is 32, then find the dividend.

  40. SSC CHSL • 2019

    What is the simplified value of Sin²71° + cos³71°/sin 19°+ sin²60° + sin71° - 1/cosec 71°+ sin⁴45°?

  41. SSC CHSL • 2021

    What is the cost (in Rs.) of levelling a triangular park with sides 60 m, 112 m and 164 m at the rate of Rs.10.50 per m² ?

  42. SSC CGL • 2019

    The length of a metallic pipe is 7.56 m. Its external and internal radii are 2.5 cm and 1.5 cm respectively. If 1 cm of the metal weight 7.5 g, then the weight of the pipe is : (Take π = 22/7)

  43. SSC CHSL • 2022

    A seller combines 26 kg of rice priced at ₹20 per kg with 30 kg of rice priced at ₹36 per kg and sells the mixture for ₹30 per kg. What is the percentage of profit he makes?

  44. SSC CGL • 2020

    The following table represents the number of candidates that appeared and qualified in a competitive examination from different states over five years. Study the table and answer the question that follow. [Table] What is the average number of candidates that…

  45. SSC Selection Post • 2019

    The mean proportional between 54 and 6 is x, and the fourth proportional of 2, 3, 12 .... Is y. What is x : y?

  46. SSC CGL • 2020

    Solve the following. 4/3 ÷ 1/6 × 2 - 1 = ?

  47. SSC Selection Post • 2023

    In ΔABC, D and F are the middle points of the sides AB and AC, respectively. E is a point on the segment DF such that DE : EF = 1 : 2. If DE = 4 cm, then BC is equal to:

  48. SSC Selection Post • 2022

    If the 10 - digit number 96530y15x8 is divisible by 72, then what is the value of (3x - 7y) for the maximum value of x?

  49. SSC CHSL • 2025

    The sum of three numbers is 80 and the sum of the squares of these three numbers is 2,650. If the product of the three numbers is 13,500, then find the sum of the cubes of the given three numbers.

  50. SSC CGL • 2022

    The following bar graph shows the total number of youth (in lakhs) and the number of employed youth (in lakhs) in 5 states A, B, C, D and E. The number of employed youth in state B is what percentage of the number of employed youth in state E? [Image]