SarkariPYQ

Quantitative Aptitude PYQ — Page 405

24,303 questions across SSC exams.

  1. SSC CGL • 2020

    (25% \ of \ (50% \ of \ 30% \ of \ 150))/(40% \ of \ 2250) is equal to:

  2. SSC CGL • 2022

    AB is the diameter of a circle with centre O. C and D are two points on the circle on either side of AB, such that ∠CAB = 52° and ∠ABD = 47°. What is the difference (in degrees) between the measures ∠CAD and ∠CBD?

  3. SSC MTS • 2022

    The total surface area of a closed hemisphere is 4158 cm². What is the diameter of the hemisphere? [Use π = 22/7]

  4. SSC CGL • 2024

    The volume of a right circular cylindrical box of radius 30 cm is 600 cm³ . Find the height of the box.

  5. SSC CHSL • 2022

    The frustum of a right circular cone has the radius of the base as 5 cm, radius of the top as 3 cm, and height as 6 cm. What is its volume?

  6. SSC CGL • 2025

    If the simple interest on a certain sum of money for 3 years at 6% per annum is ₹360, what would be the simple interest on the same sum for 5 years at 8% per annum?

  7. SSC Selection Post • 2020

    The cost price of a shirt is ₹262.40. At what price should it be marked so as to gain 14% after allowing an 18% discount on the marked price?

  8. SSC CGL • 2024

    Anna and Ben each have a collection of marbles. If Anna gives one marble to Ben, they will both have an equal number of marbles. Conversely, if Ben gives one marble to Anna, she will end up with three times the number of marbles that Ben has. What is the…

  9. SSC CGL • 2024

    A boat covers a distance of 55 km downstream in 5 hours while it takes 11 hours to cover the same distance upstream. What is the speed of the boat?

  10. SSC CGL • 2024

    R is a point outside a circle and is 18 cm away from its centre. A secant drawn from the point R intersects the circle at points A and B in such a way that RA = 7 cm and AB = 5 cm. The radius of the circle (in cm) is:

  11. SSC Selection Post • 2022

    If a nine-digit number 85345x61y is divisible by 72, then the value of (2x − y) is:

  12. SSC CGL • 2021

    Study the following table and answer the question: The number of students enrolled for Vocational Courses(VC )in institute F in 2015,2017 and 2018 and the average number of students enrolled in all the six institutions A, B, C, D, E & F. [Table] The…

  13. SSC CGL • 2023

    If a = 17 ,b = 13, then find the value of the expression (a³- b³ - 3a² b + 3ab²).

  14. SSC CGL • 2025

    A sum amounts to ₹6,600 in 2 years and ₹7,200 in 4 years at simple interest. What is the rate of interest per annum?

  15. SSC CGL • 2021

    Points P and Q are on the sides AB and BC respectively of a triangle ABC, right-angled at B. If AQ = 11 cm, PC = 8 cm and AC = 13 cm, then find the length (in cm) of PQ.

  16. SSC GD • 2021

    The compound interest compounded annually on a sum of money for 2 years is Rs. 1,128.6 and the simple interest on the same sum for the same period is Rs. 1,080. What is the difference between the compound interest compounded annually and the simple interest…

  17. SSC CHSL • 2025

    If sin(θ)=0.6, then cos(θ) is:

  18. SSC CHSL • 2019

    In a constituency, 40% of the voters are senior citizens. 40% of the senior citizen voters are illiterates and 25% of the non-senior citizen voters are literates. By what percentage is the number of literate senior citizens voters less than that of…

  19. SSC CGL • 2024

    Find the remainder: (17¹³ − 21) ÷ 18

  20. SSC CHSL • 2020

    A motorboat goes 24 km in 2 hours along the stream and 10 km in 1 hour against the stream. Find the speed of the motorboat in kmph.

  21. SSC CHSL • 2023

    The volume of a solid sphere is 4500 π cm³. The surface area of the solid sphere is:

  22. SSC Selection Post • 2023

    Maya completes ​​​​​​7/1​0 of a work in 15 days and then she completes the remaining work with the help of Suresh in 4 days. In how many days can Maya and Suresh complete the whole work?

  23. SSC CGL • 2022

    The given pie -chart shows the total number of children who opted different courses in a summer camp in may 2019. [Image] 300 students attanded the summer camp, and every child was allowed to opt only one activity for the camp. The total number of students…

  24. SSC CHSL • 2025

    What is the simplified value of the expression (785×785×785+215×215×215)/(785×785−785×215+215×215)?

  25. SSC CHSL • 2024

    The lengths of the three sides of a triangle are 19 cm, 25 cm and y cm. Which of the following options most accurately gives the possible values of ‘y’?

  26. SSC Selection Post • 2024

    Find the value of (sin 75° + sin 15°).

  27. SSC CHSL • 2020

    If A and B are acute angles and SecA = 3; CotB = 4, then the value of [Image] is:

  28. 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] The total number of candidates that qualified…

  29. SSC CGL • 2019

    In ΔABC with sides 6 cm, 7 cm and 8 cm, the angle bisector of the largest angle divides the opposite side into two segments. What is the length of the shorter segment?

  30. SSC Selection Post • 2023

    A football team won 10 games out of the total they played. This was 40% of the total. How many games were played in all?

  31. SSC CGL • 2023

    Three numbers are in the ratio 4/5: 5/6:9/10 . The difference between the smallest and the greatest numbers is 12. Find the number that is neither the smallest nor the greatest.

  32. SSC CGL • 2022

    Two-thirds of a certain distance was covered at the speed of 45 km/h, one-fourth at the speed of 60 km/h and the rest at the speed of 75 km/h. Find the average speed per hour for the whole journey. (correct to 2 decimal places)

  33. SSC CGL • 2018

    A Rs 750 tin of cheese is offered at 8% discount and a Rs 1,250 tin of butter at 20% discount. If we buy 5 tins of cheese and 3 tins of butter, what is the effective discount we get (in %)?

  34. SSC CGL • 2025

    Instructions: Evaluate the following statements to determine if the information provided is sufficient to answer the question. Question: If P, Q, and R work together, how many days will they take to complete a project? Statement I: Q and R together can…

  35. SSC Selection Post • 2020

    The sides of a triangular field are 140 m, 225 m and 265 m. What is the cost of levelling it at ₹5.50 per m²?

  36. SSC Selection Post • 2022

    If the seven-digit number 7x535y is divisible by 110, then the value of (x + 5y) is:

  37. SSC CGL • 2021

    The area of a square shaped field is 1764 m². The breadth of rectangular park is 1/6th of the side of the sqaure field and the length is four times its breadth. What is the cost (in ₹) of leveling the park at ₹30 per m²?

  38. SSC CHSL • 2025

    A common internal tangent is drawn to two circles with radii 4 and 9 units. If the length of the tangent segment is 12 units, what is the distance between the centers of the two circles?

  39. SSC CGL • 2022

    If A = 10°, what is the value of: (12 sin 3A + 5cos(5A - 5ᵒ))/(9sin9A/2- 4cos(5A + 10ᵒ))

  40. SSC Selection Post • 2019

    ​If x⁸ - 727x⁴ + 1 = 0, then the possible value of x - 1 over x is:

  41. SSC CGL • 2025

    Evaluate the expression: (1/(√(10)-√(9)))-(1/(sqrt9-√(8)))+(1/(√(8)-√(7)))-(1/(√(7)-√(6)))+(1/(√(6)-√(5)))-(1/(√(5)-2))=?

  42. SSC CGL • 2023

    Sudhin cycled at 8.5 km/h for 4 hours, then took an auto and traveled at 20 km/h for 1.5 hours, and then walked at 4 km/h for y hours. If Sudhin's overall average speed for the entire journey was 10 km/h, what is the value of y?

  43. SSC CGL • 2021

    Point P lies outside a circle with centre O. Tangents PA and PB are drawn to meet the circle at A and B respectively. If √APB = 80º, then √OAB is equal to:

  44. SSC CHSL • 2023

    Two numbers are in the ration of 1 : 2. If 7 is added to both, their ratio changes to 3 : 5. The greater number is:

  45. SSC MTS • 2022

    If P = 12 ÷ 6 - 2, Q = 8 ÷ 2 - 3, and R = 18 ÷ 9 + 5, then what is the value of P + R × Q?

  46. SSC CHSL • 2024

    If L is the mid-point of side BC of △ ABC and the area of △ ABL is 15 cm², then the area (in sq cm) of △ ABC is:

  47. SSC CHSL • 2024

    In the right-angled triangle, ABC, ∠ B = 90° and angle A and angle C are acute angles. If cosecA = 2√(2) , then find the value of sinA . cosC + cosA . sinC.

  48. SSC CGL • 2025

    Identify the incorrect relationship(s) from the list below: (i) sqrt6 + sqrt2 = sqrt5 +sqrt3 (ii) sqrt6 + sqrt2 (ii) sqrt6 + sqrt2 > sqrt5 +sqrt3

  49. SSC CHSL • 2025

    Two triangles are similar. The ratio of their corresponding side lengths is 3:5. If the length of an altitude of the smaller triangle is 6 cm, what is the length of the corresponding altitude of the larger triangle?

  50. SSC CHSL • 2020

    If x³ + y³ = 16 and x + y = 4, then the value of x⁴ + y⁴ is: