Quantitative Aptitude PYQ — Page 394

24,303 questions across SSC exams.

  1. SSC CGL • 2025

    A and B invest ₹45,000 and 60,000 respectively. A remains in business for 8 months, B for 6 months. If the total profit is 36,000, what is A's share?

  2. SSC MTS • 2019

    If a/b = 3/4, b/c = 4/5 and c/d = 5/6, then the sum of the numerator and the denominator (which are coprimes) of (a/d)¹⁰ is:

  3. SSC CHSL • 2024

    Reshma took a loan of ₹12,00,000 with simple interest for as many years as the rate of interest. If she paid ₹9,72,000 as interest at the end of the loan period, what was the rate of interest per annum?

  4. SSC CGL • 2024

    Simplify the following. 16 ÷ 2− 7 × 15 ÷ 3 + 5 × 5 + 4 × 3 − 10

  5. SSC GD • 2019

    An inlet pipe takes 8 hours to fill a tank. An outlet pipe takes 12 hours to empty it. If both pipes are opened simultaneously, in how many hours will the tank be filled?

  6. SSC Selection Post • 2024

    How many times do the hour hand and minute hand of a clock coincide in half a day?

  7. SSC Selection Post • 2019

    What would be the result of the followign expression. ( ( 971+29 )²- ( 971-29 )²)/(2times971times29)

  8. SSC CHSL • 2025

    Two similar triangles, Triangle X and Triangle Y, have perimeters of 24 cm and 36 cm, respectively. If the area of Triangle X is 40 cm², what is the area of Triangle Y?

  9. SSC CPO • 2025

    If we multiply (-6ab) and (11ab²c), we obtain:

  10. SSC MTS • 2022

    A certain sum of money amounts to Rs. 1008 in 2 years and to Rs.1164 in 3 ½ years. Find the sum and rate of interest.

  11. SSC MTS • 2022

    If an item whose marked price is ₹1,000 is sold after two successive discounts of 10% and 15%, then find the price at which the item is sold.

  12. SSC Selection Post • 2024

    An annual instalment of ₹3,500 will discharge a debt of ₹16,310 due in 4 years at y% simple interest per annum. What is the value of y? [Note: Instalments will be paid at the end of Year 1, Year 2, Year 3, and Year 4].

  13. SSC CGL • 2018

    PAB and PCD are two secants to a circle. If PA = 10 cm, AB = 12 cm and PC = 11 cm, then what is the value (in cm) of PD?

  14. SSC MTS • 2019

    Three positive numbers are in the proportion 3 : 4 : 6. If the sum of their squares is 244, then what is the largest number?

  15. SSC CHSL • 2023

    Rs. 6000 is lent at the annual rate of 10 percent for 2 years. Which of the following is statement(s) is/are correct? I. Simple interest to be received on this sum is Rs. 1200 II. Compound Interest (compounding annually) to be received on this sum is Rs. 1260

  16. SSC CHSL • 2025

    Arrange in ascending order: √3, ³√5, ⁴√6.

  17. SSC CHSL • 2023

    If x + 1/x = 2 then find the value of x¹⁸²³ + 1/(x¹⁹²⁹) .

  18. SSC CGL • 2025

    A laptop is priced at ₹40,000. A customer gets a discount of ₹4,000 on it. After the discount, the cutomer buys a mouse for ₹1,500 at a 20% discount. What is the total amount the customer spends on both items?

  19. SSC CGL • 2024

    M and N are respectively, the centres of two circles of radii 12 cm and 8 cm. QR is the common tangent to the circles. If MN = 16 cm, then what will be the length of QR?

  20. SSC Selection Post • 2022

    Two possible numbers are in the ratio 7 : 11. If the sum of their squares is 13770, then the difference between the two numbers is:

  21. SSC CGL • 2019

    if [Image] then cos θ is equal to:

  22. SSC CHSL • 2024

    A’s marks in Mathematics are directly proportional to practice time. In 6 hours of practice, A gets 70 marks. What should be the practice time (approximately) to get 90 marks?

  23. SSC CGL • 2022

    In △ACD , B and E are two points on sides AC and AD respectively, such that BE is parellel to CD. CD = 9 cm, BE = 6 cm, AB = 5 cm and ED = 2 cm, Whatare the measures of the lengths ( in cm) of AE and BC ?

  24. SSC CGL • 2020

    The value of (tan 30ᵒ + tan 60ᵒ)/(cos 30ᵒ) is:

  25. SSC CGL • 2023

    If the surface area of a cube is 5046 cm², then the volume of the cube is:

  26. SSC CGL • 2019

    In a trapezium ABCD, DC || AB, AB = 12 cm and DC = 7.2 cm. What is the length of the line segment joining the mid-points of its diagonals?

  27. SSC CHSL • 2020

    The given bar graph represents the pass percentage of 10^(th) and 12^(th) classes of a school during the consecutive four year period 2016-2019. [Image] What is the average percentage of the failed students of the 12^(th) class for all four years?

  28. SSC CGL • 2019

    If (8x³ + 27y³) ÷ (2x + 3y) = (Ax² + Bxy + Cy²), then the value of (5A + 4B + 3C) is:

  29. SSC CHSL • 2022

    Find the total surface area of a closed hemisphere whose radius is 3.5 cm. (Use π=22/7)

  30. SSC Selection Post • 2023

    A solid sphere has a surface area of 616 cm². This sphere is now cut into two hemispheres. What is the total surface area of one of the hemispheres?

  31. SSC CHSL • 2025

    If two circles intersect at two points, how many common tangents are possible if the circles have the same radius?

  32. SSC Selection Post • 2019

    Alloys A and B contain copper and zinc in the ratio 1: 3 and 3: 5, respectively. In what ratio A and B be mixed to get a new alloy containing copper and zinc in the ratio 1: 2?

  33. SSC CHSL • 2025

    Rationalize the denominator: 4/(√(7) + √(5))

  34. SSC Selection Post • 2024

    If 12 students can read 4800 pages of a book in 15 days, then how many students can read 7200 pages of the same book in 10 days?

  35. SSC CGL • 2022

    O is the center of a circle with a diameter 20 cm. T is a point outside the circle and TA is a tangent to a circle. If OT is = 26cm, what is the length (in cm) of the tangent TA?

  36. SSC CHSL • 2023

    Ramachandran sold his computer at three successive discounts of 18%,12% and 5%. If the marked price of the computer if Rs 36000, then find the net selling price of the computer. (Correct to two places of decimals)

  37. SSC CGL • 2023

    There are 15 students in a class. Their average weight is 40 kg. When one student leaves the class, the average weight is 39.5 kg. What is the weight of the student who left the class (where kg means kilogram)?

  38. SSC CGL • 2016

    A car travels from A to B with 40 km/h and returns from B to A with 60 km/h. Its average speed during the whole journey is?

  39. SSC Selection Post • 2022

    If a 9-digit number 1039m837n is divisible by 72, then find the value of n²-mover4 .

  40. SSC CHSL • 2025

    Rationalize. 1 / (√3 + √2)

  41. SSC GD • 2021

    Rajesh buys a cycle for ₹ 1400 sells it at a loss of 40% What is the selling price of the cycle?

  42. SSC CGL • 2022

    The following histogram shows the marks scored by 40 students in a test of 30 marks. A student has to score a minimum of 10 marks to pass the test. [Image] How many students have scored less than two-thirds of the total marks?

  43. SSC Selection Post • 2023

    If 180 : y :: y : 245, and y > 0, find the value of y.

  44. SSC CGL • 2025

    A grocer mixes two varieties of rice - one costing ₹40 per kg and the other costing ₹60 per kg. In the ratio 2 : 3. If he sells the mixed variety at ₹57.20 per kg, find his gain or loss percent.

  45. SSC MTS • 2019

    70 sticks of unit length are combined to form a right angle triangle without breaking any stick.What is the area (in square units) of the triangle?

  46. SSC CHSL • 2022

    The height of a right circular cone is 6 cm and its base diameter is 16 cm. Find the volume of this cone.

  47. SSC CHSL • 2025

    What is the slope of the line represented by the equation x + 3y = 6?

  48. SSC MTS • 2022

    What is the value of {(0.1/0.2) x 0.3 + 0.4 × (0.5/0.1)} / (0.1 × 0.2 - 0.01) = ?

  49. SSC CHSL • 2023

    If x³ = 270 + y³ and x = (6 + y), then what is the value of (x + y)? (given that x > 0 and y > 0)

  50. SSC MTS • 2022

    A sum of money, when invested at the rate of 15% per annum at simple interest, amounts to ₹ 26,000 in 2 years. What is the simple interest that accrued during these 2 years?