Quantitative Aptitude PYQ — Page 195

24,303 questions across SSC exams.

  1. SSC GD • 2023

    If a conical vessel has a radius of 4 cm and volume of 16π cm³ , then its curved surface area is

  2. SSC CGL • 2025

    The area of a ΔABC is 16 cm². If a similar ΔDEF has sides that are twice the length of ΔABC's sides, what is the area of ΔDEF?

  3. SSC CHSL • 2019

    ABCD is a cyclic quadrilateral such that AB is a diameter of the circle circumscribing it and ∠ADC = 126°. ∠BAC is equal to:

  4. SSC GD • 2024

    A merchant marks the price of his article 40 percent above the cost price. He gives some discount on it and earns a profit of 10 percent. What is the discount percentage?

  5. SSC CGL • 2022

    Study the given tringle and find the length of BC. [Image]

  6. SSC Selection Post • 2020

    A person takes 40 minutes more than his usual time when he covers a distance of 20 km at 5 km/h. If he covers the same distance at 10 km/h, he takes x minutes less than the usual time. What is the value of x?

  7. SSC CGL • 2024

    A circular arc makes an angle of 15° at the centre. If the radius of the circular arc is 14 cm, what is the perimeter (correct up to two decimal places) of the sector so formed? (π = 3.14)?

  8. SSC CGL • 2022

    A hemispherical depression of diameter 4 cm is cut out from each face of a cubical block of sides 10cm. Find the surface area of the remaining solid (in cm²). ( Use π =22/7)

  9. SSC Selection Post • 2022

    Let ∆ABC ~ ∆QPR and ar(∆ABC) over ar (∆PQR)=49 over 144 If AB = 12 cm, BC = 9 cm and AC = 7 cm, then QR (in cm) is equal to :

  10. SSC CHSL • 2022

    If 2a + 5b = 12 and ab = 3, find the value of 4a² + 25b².

  11. SSC GD • 2023

    Umesh and Ramesh can complete a work in 28 and 21 days, respectively. Starting with Umesh, they work on alternate days. In how many days will the work be completed?

  12. SSC GD • 2023

    If the price of petrol becomes Rs 110/litre from Rs 95/litre, by what percentage the consumption of petrol should be reduced by Ravi so that his expenditure remains the same? (correct up to two decimals)

  13. SSC CHSL • 2021

    A, B and C together can complete a work in x, 30 and 45 days, respectively. B and C worked together for 6 days. The remaining work was completed by A alone in 12 days. The value of x is:

  14. SSC Selection Post • 2024

    Veena and Karmesh were at different places in Delhi. They fixed a meeting point to meet to settle some issue. Veena started her journey at 8:00 a.m. from place A and reached place B at 4:00 p.m. and Karmesh started moving from place B 2 hours later than the…

  15. SSC GD • 2021

    The average weight of some persons in a group is the 70 kg. When 15 persons with average weight 60 kg leave the group over 15 persons with average weight 87.5 kg join the group, then the average weight of persons in the group in both the cases is equal. How…

  16. SSC MTS • 2022

    The curved surface area of a right circular cone is 44 cm². If the slant height of the cone is 7 cm, then find the radius of its base. [Use π = 22/7 ].

  17. SSC CHSL • 2023

    If (a + b + c) = 20 and a² + b² + c² = 262 then, find the value of ab+ bc + ca

  18. SSC GD • 2023

    What is the length of the longest pole that can be placed in a room 12 m long, 8 m broad and 3 m high (correct up to 2 decimal places)?

  19. SSC CHSL • 2024

    Given below is the observed data of the ages of various children. [Table] What is the mean of the ages of the children?

  20. SSC CHSL • 2019

    Three numbers are in the ratio 1/2 : 2/3 : 3/4. The difference between the greatest and the smallest number is 27. The smallest number is:

  21. SSC Selection Post • 2020

    If x = 23, find the value of x⁸ - 24x⁷ + 24x⁶- 24x⁵+ 24x⁴- 24x³+ 24x²- 24x + 1.

  22. SSC CGL • 2024

    If sinA + cosA = 1over2sqrt2 , then find the value of sin⁴A + cos⁴A.

  23. SSC CGL • 2020

    To complete a certain task, X is 40 % more efficient than Y, and Z is 40% less efficient than Y. Working together, they can complete the task in 21 days. Y and Z together worked for 35 days. The remaining work will be completed by X alone in:

  24. SSC GD • 2023

    An article is listed at ₹1,200. A customer pays ₹972 for it after getting two successive discounts. If the rate of the first discount is 10%, then the rate of the second discount is:

  25. SSC CHSL • 2020

    The value of 4 + [3{35 + (42 + 10 ÷ 2 × 3 – 40)} + 7] is:

  26. SSC GD • 2023

    Find the HCF of the cube of 16 and the square of 48.

  27. SSC CHSL • 2021

    Study the line graph and answer the question that follows. The line graph represents the number of vehicles (in thousands) manufactured by two automobile companies A and B over the years from 2010 to 2015. The X-axis represents the years and the Y-axis…

  28. SSC Selection Post • 2024

    A police station, a bank and a safe house for the thief are in a straight line with a bank in between. The distance between the police station and the safe house is four times the distance between the bank and the safe house. After looting the bank at 9:15…

  29. SSC MTS • 2022

    Study the given bar-graph and answer the question that follows. The bar-graph shows the population of six countries (in millions) in 2010 and 2020. [Image] In the USA, by what approximate percentage did the population increase by 2020 over its population in…

  30. SSC CGL • 2023

    A sold an article to B at 25% profit and B further sold it to C by earning a certain profit. If the cost price of C is 30% more than the cost price of A, then find the profit percentage earned by B.

  31. SSC CGL • 2019

    In ΔABC, F and E are the points on sides AB and AC, respectively, such that FE||BC and FE divides the triangle in two parts of equal area. If AD ⊥ BC and AD intersects FE at G,Find GD : AG.

  32. SSC Selection Post • 2022

    Find the difference between compound interest and simple interest for 2 years at 10% p.a. on a sum of Rs.400.

  33. SSC Selection Post • 2022

    If two numbers are in the ratio 4over5 : 5over6 , then by what percentage is the first number more or less than the second number?

  34. SSC CHSL • 2025

    A dishonest dealer professes to sell goods at cost price but uses a false weight of 950g instead of 1kg. Find his profit percentage.

  35. SSC Selection Post • 2023

    A person covers 11 km at a speed of 3 km/h, 21 km at a speed of 5 km/h and 37 km at a speed of 10 km/h. Find the average speed for the entire journey.

  36. SSC CHSL • 2025

    A quality control officer tracks the defect rates in 4 different machines in a textile factory. The first machine produces fabrics with an average defect rate of 1.8%, the second with 2.4%, and the third with 1.6%. The fourth machine operated for 5 fewer…

  37. SSC Selection Post • 2024

    The follwoing pie chart shows the data of the number of appered and passed students of class 12thin section A, B, C, D, and E. [Image] What is the percentage of students who appeared for the exam in section E (correct to one decimal place)

  38. SSC GD • 2023

    A vendor sells 40 percent of the oranges he had and throws away 10 percent of the remainder. The next day he sells 50 percent of the remaining and throws away the rest. What percent of his oranges does the vendor throw?

  39. SSC CHSL • 2025

    A vintage clock was bought for ₹10000. Its price was marked up by 40%. Thereafter, it was sold at a discount of 10% on the marked price. What was the percentage profit on the transaction?

  40. SSC CHSL • 2020

    A sphere is placed in a cube so that it touches all the faces of the cube. If ‘a’ is the ratio of the volume of the cube to the volume of the sphere, and ‘b’ is the ratio of the surface area of the sphere to the surface area of the cube, then the value of ab…

  41. SSC CHSL • 2024

    Four years ago, Ravi was four times as old as Kavya. Seven years from now, Ravi will be three times as old as Kavya. Find the sum of their present ages.

  42. SSC CGL • 2022

    If x + y = 36, then find (x − 27)³ + (y − 9)³.

  43. SSC CGL • 2019

    In ΔABC, AD is a median and P is a point on AD such that AP : PD = 3 : 4. Then ar(ΔBPD) : ar(ΔABC) is equal to:

  44. SSC MTS • 2019

    What is the value of [Image] ?

  45. SSC CHSL • 2022

    If x - 2y = 3 and 2xy = 5, then find the value of (x + 2y)².

  46. SSC CHSL • 2025

    A number is first increased by 30% and then decreased by 30%. What is the net percentage change?

  47. SSC CGL • 2021

    If the 5 digit number 688xy is divisible by 3, 7 and 11, then what is the value of (5x + 3y)?

  48. SSC CHSL • 2022

    The area of a square is 4x² - 12x + 9. Which of the following will be the side of the square?

  49. SSC CHSL • 2023

    If x + 1/x = 7 , Then the value of x² + 1/(x²) is :

  50. SSC Selection Post • 2024

    A sum of ₹1,250 is lent on simple interest at a rate of 5 1/2 % per annum for three years. Find the interest (in ₹).