Quantitative Aptitude PYQ — Page 359

24,303 questions across SSC exams.

  1. SSC CGL • 2023

    A shopkeeper gives a 12% additional discount on the discounted price, after giving an initial discount of 25% on the labelled price of a radio. If the final selling price of the radio is ₹792, then what is its labelled price (in ₹)?

  2. SSC MTS • 2022

    What is the value of x in the following equation? 12.50 ÷ 0.005 + 25 ÷ 0.5 + 5 = x

  3. SSC CGL • 2025

    Partners X and Y invest Rs. 60,000 and Rs. 90,000, respectively. X works for 6 months, Y for 4 months. Profit is divided based on capital × time. Find their profit ratio.

  4. SSC CHSL • 2023

    Jason can do a piece of work alone in 23.4 days, while Rafique can do the same piece of work alone in 39 days. In how many days can the duo complete the same work if they work together?

  5. SSC MTS • 2019

    The ratio of milk and water in a mixture is 4 : 3.If we add 2 litres of water, the ratio of milk and water becomes 8 : 7. What is the quantity of the final mixture?

  6. SSC CGL • 2019

    A sum of Rs 5000 is divided into two parts such that the simple interest on the first part for [Image] years at [Image] p.a. is double the simple interest on the second part for [Image] years at 4% p.a. What is the difference between the two parts?

  7. SSC CGL • 2022

    In △ABC, O is the point of intersection of the bisectors of ∠B and ∠A. If ∠BOC = 108º, then ∠BAO =?

  8. SSC CGL • 2025

    What is the average of all whole numbers between 50 and 200 that are divisible by 7?

  9. SSC CHSL • 2025

    A sum invested at rate r% simple interest for 5 years yields ₹1,500 as interest. If the rate were increased by 2% p.a. (i.e. r+2% p.a.) for the same period, the interest would be ₹1,800. What was the original principal?

  10. SSC CHSL • 2024

    Find the area of a rhombus whose diagonals are of lengths 10 cm and 8.2 cm.

  11. SSC Selection Post • 2024

    Vinod and Sanjay were fighting against each other for the post of a village Pradhan. Sanjay got 47.5% votes and lost the election by 270 votes. How many votes did Vinod get (assuming that all the villagers participated in the voting)?

  12. SSC CHSL • 2025

    If (3²)⁴ = 3ˣ, what is x?

  13. SSC CHSL • 2020

    If x⁴+ 1 / x⁴ = 14159, then value of x + 1 / x is:

  14. SSC GD • 2021

    A's income is 25% more than that of B.B's income is less than A's income in percentage of:

  15. SSC CHSL • 2023

    The following table gives the number of students who went abroad during 2020-2024. [Table] From which state/U.T. did the least number of students go abroad over the years among the given States/U.T.s?

  16. SSC CHSL • 2022

    The price of a cell phone is ₹20,000. On Sundays, the shopkeeper offers a cash discount of ₹1,000 on the purchase of the cell phone. Further, if someone purchases it through a credit card, he gives 5% additional discount. If someone is purchasing the cell…

  17. SSC CHSL • 2024

    Study the given pie-chart and answer the question that follows. The pie-chart shows the monthly expenditure incurred by a family on various items and their savings. [Image] If the total expenditure on education is ₹23,520, then what is the expenditure on…

  18. SSC CGL • 2023

    Which number among 24963, 24973, 24983 and 24993 is divisible by 7?

  19. SSC CHSL • 2025

    What is the value of (3.5)² + √1.44 - (2.5 ÷ 0.5)?

  20. SSC CGL • 2024

    If tan(x)over sec(x) = 1over 2 , then the value of (sinx + cos x)² is _____.

  21. SSC CGL • 2024

    The difference between the simple interests on the principal of ₹500 at an interest rate of 5% per annum for 3 years and 4% per annum for 4 years is:

  22. SSC MTS • 2022

    A policeman spots a thief at a distance of 200 m and starts chasing him. While the policeman runs at a speed of 9 km/ h, the thief runs at a speed of 7 km/ h. After how long will the policeman catch the thief?

  23. SSC CHSL • 2021

    If the nine - digit number 23541y49x is divisible by 72 then, (3x + 5y) : (5x + 3y) is equal to:

  24. SSC Selection Post • 2019

    The diagonals of a rhombus are respectively 6 cm and 10 cm. What is the area (in cm²)?

  25. SSC CHSL • 2025

    Gaurav invested Rs. ‘x’ in a scheme offering 10% compound interest for three years. Prem invested Rs. 18,000 in a scheme offering 15% simple interest for four years. Find the interest earned by Gaurav if the interest earned by Prem is Rs. ‘2x – 1,200’.

  26. SSC CGL • 2020

    If a² + b² + c² = 300 and ab + bc + ca = 50 then what is the value of a + b + c ? (Given that a, b and c are all positive)

  27. SSC CHSL • 2024

    The sum of the digits of a two−digit number is 9. The number obtained by interchanging its digits exceeds the given number by 45, then the original number is:

  28. SSC CHSL • 2025

    Arrange the following values in descending order? 4/23, 8/17, 3/5, 5/21

  29. SSC GD • 2019

    After giving a discount of 20%, a shopkeeper earns 36% profit. Marked price is what percent more than the cost price?

  30. SSC CGL • 2025

    Find the x-intercept of 3x − 6y = 12.

  31. SSC CGL • 2025

    What is the ratio of the interior angle of a regular hexagon to the interior angle of a regular 12-sided polygon (dodecagon)?

  32. SSC CHSL • 2024

    The average of the first 10 natural numbers is _____.

  33. SSC CHSL • 2025

    What is the value of tan(45°) · cot(45°)?

  34. SSC CGL • 2025

    Two containers of the same volume are 30% and 60% full of water, respectively. They are then filled completely with milk. If the contents of both containers are mixed in a larger vessel, what is the percentage of milk in the final mixture?

  35. SSC CGL • 2022

    The pie chart given below shows the sales of 7 different companies. The total sales of all these 7 companies are 2880. The sale of a particular company is shown in terms of degree with respect to the total sales of all these 7 companies. [Image] The average…

  36. SSC CGL • 2021

    In a trapezium PQRS, PQ is parallel to RS and diagonals PR and QS intersect at O. If PQ = 4 cm, SR = 10 cm, then what is area( Δ POQ) : area ( Δ SOR)?

  37. SSC MTS • 2022

    The difference between the compound interest and simple interest on a sum of ₹2,500 for 2 years is ₹100. Find the rate of interest per annum, if the nominal rate of interest per annum is the same for both simple and compound interest, and in the case of…

  38. SSC CGL • 2022

    A poster is on top of a building. A person is standing on the ground at a distance of 50m from the building. The angles of elevation to the top of the poster and bottom of the poster are 45° and 30°, respectively. What is 200% of the height (in m) of the…

  39. SSC CGL • 2021

    In a circle with centre O. AB is a chord of length 10 cm . Tangents at a point A and B intersect outside the circle at P. If OP = 2 OA, then find the length (in cm) of AP.

  40. SSC CGL • 2024

    An inlet pipe can fill a water storage tank in 11 hours and an outlet pipe can empty the completely filled tank in 15 hours .If both pipes opened simultaneously. The time taken to fill the empty tank (in hrs) is :

  41. SSC CGL • 2022

    In a circle, ABCD is a cyclic quardilateral. Ac and Bd intersect each other at P. If AB and ∠BAC = 38°, then the measure of ∠ADC is

  42. SSC GD • 2021

    By selling 36 m of jute, a shopkeeper gains an amount equal to the selling price of 12 m of jute. Find the gain percentage.

  43. SSC Selection Post • 2022

    28% of the people eligible to vote are between 20 to 25 years old. In an election 75% of those eligible to vote who were between 20 to 25 years old actually voted. In that election, the number of persons between 20 to 25 who actually voted was what…

  44. SSC Selection Post • 2020

    The cost prices of articles A and B are the same. A is sold at 20% profit, whereas B is sold for ₹54.60 more than the selling price of A. If the overall profit earned on selling A and B is 28%, then what is the cost price of each article?

  45. SSC CHSL • 2020

    If an amount of Rs.800 is distributed between Ravi, Mohan and Govind in the proportions 2 : 5 : 3, then the sum of the shares of Mohan and Govind, is:

  46. SSC Selection Post • 2020

    Pipes A and B can fill a tank in 18 minutes and 27 minutes, respectively. C is an outlet pipe. When A, B, and C are opened together, the empty tank is completely filled in 54 minutes. Pipe C alone can empty the full tank in:

  47. SSC CGL • 2020

    A conical tent has to accommodate 25 people. Each person must have 4 m² of space on the ground and 80 m³ of air to breathe. Find the height of the tent.

  48. SSC CGL • 2017

    If a + b + c + d = 4 then the value of [1/(1 – a)(1 – b)(1 – c)] + [1/(1 – b)(1 – c)(1 – d)] + [1/(1 – c)(1 – d)(1 – a)] + [1/(1 – d)(1 – a)(1 – b)]:

  49. SSC CGL • 2021

    Chord AB of a circle of radius 10 cm is at a distance 8 cm from the centre O. If tangents drawn at A and B intersect at P, then the length of the tangent AP (in cm) is:

  50. SSC CGL • 2025

    A shopkeeper took a loan of ₹7500 from a bank on 1 April 2025 with simple interest at 9% per annum. He decided to clear the loan on 1 September 2025. How much amount did he pay back to the bank?