SarkariPYQ

Quantitative Aptitude PYQ — Page 366

24,303 questions across SSC exams.

  1. SSC CGL • 2020

    Two circles of radii 7 cm and 5 cm intersect each other at A and B, and the distance between their centres is 10 cm. The length (in cm) of the common chord AB is:

  2. SSC CGL • 2022

    The given bar graph shows exports of cars of type A and B (in Rs millions) from 2014 to 2018. Study the graph and answer the question that follows. Exports of Cars of type A and B (in Rs millions) from 2014 to 2018. [Image] The Total exports of cars type B…

  3. SSC CHSL • 2024

    Two parallel chords of length 5 units and 8 units are on opposite sides of the center of a circle of radius 7 units. What is the distance between the chords? (round your answer to two decimal places)

  4. SSC CGL • 2024

    The value of N in equation 9 × N of 4 ÷ 4 −15 × 4 = 12 is

  5. SSC CHSL • 2024

    In how many of the given years were the imports more than the exports of Company N?

  6. SSC CGL • 2020

    The following table shows the number of students enrolled in different faculties in a college. [Table] The percentage of students studing in faculties other than Science is:

  7. SSC CHSL • 2021

    If (sin²θ)/(tan²θ-sin²θ)=5 , then the value of (24cos²θ-15sec²θ)/(6cosec²θ-7cot²θ) is:

  8. SSC CGL • 2020

    A circular disc of area 0.64π m² rolls down a length of 1.408 km. The number of revolutions it makes is : (Taken π = 22/7).

  9. SSC CGL • 2025

    In a group of 40 boys, the average height was initially determined to be 160 cm. However, it was later discovered that the height of one boy was incorrectly recorded as 165 cm when it should have been 156 cm. Calculate the accurate average height.

  10. SSC CGL • 2024

    A man loses 28% by selling an article for ₹144. If he sells it for ₹288, what will be his gain/loss percentage?

  11. SSC CGL • 2024

    If p cos A = 2q sin A and 2p cosec A - q sec A = 3, then the value of p² + 4q² is:

  12. SSC MTS • 2022

    The perimeter of a rectangle is 40 cm. If its breadth is 8 cm, then what is the difference between the length and breadth of this rectangle?

  13. SSC CGL • 2025

    Given: x+​​1/x=-2 , then determine the value of x⁶+1/(x⁶)-3(x⁴+1/(x⁴) )+4(x²+1/(x²) )

  14. SSC CGL • 2025

    In a team of 120 employees, the average monthly sales per employee is 1.5 lakh. If 60 junior employees average 1.2 lakh each, what is the average monthly sales figure (in lakh) for the senior employees?

  15. SSC CGL • 2020

    Seema flies a kite on a 16 m string at an inclination of 60ᵒ. What is the height (h) of the kite above the ground?

  16. SSC CGL • 2020

    If the radius of the base of a right circular cylinder is increased by 20% and the height is decreased by 30%, then what is the percentage increase/decrease in the volume?

  17. SSC Selection Post • 2024

    Two articles were sold for ₹3,000 each, with no loss or profit in the entire transaction. If one was sold at a profit of 25%, then the loss incurred on the second article is ____.

  18. SSC CHSL • 2023

    Simplify the expression: ((u-v)³+(v-w)³+(w-u)³)/((u²-v²)+(v²-w²)+(w²-u²)³)

  19. SSC Selection Post • 2022

    Mohan sells fruits at their cost price but uses a weight of 850 g in place of 1 kg. What is his profit percentage?

  20. SSC CHSL • 2022

    The curved surface area of a right circular cone of radius 28 cm is 4664 cm². What is the slant height of the cone? (Use π = 22/7)

  21. SSC Selection Post • 2022

    The mean propotional between (7+2sqrt5) and (21-6sqrt5) is:

  22. SSC CHSL • 2020

    If ‘a’ is a natural number, then (7a² + 7a) is always divisible by:

  23. SSC CGL • 2025

    The overall average salary for all employees in an office is ₹16,000. Officers earn an average salary of ₹28,000, while non-officers make an average of ₹10,000. There are 15 officers. Determine the number of non-officers.

  24. SSC Selection Post • 2022

    What is the third proportion of 6 and 18?

  25. SSC CGL • 2019

    If Tanθ/(1 - Cotθ) + Cotθ/(1 - Tanθ) = 1 + k, then k = ?

  26. SSC CGL • 2020

    Two cyclists X and Y start at the same time from place A and go to towards place B at a speed of 6 km/h and 8 km/h, respectively. Despite stopping for 15 minutes during the journey, Y reaches 10 minutes earlier than X. The distance between the places A and B…

  27. SSC CHSL • 2025

    Five hundred real numbers have an average of zero. How many of them can be negative, at most?

  28. SSC CHSL • 2023

    PS and PT are two tangents from a point P outside the circle with center O. If S and T are points on the circle such that ∠SPT = 130°, then the degree measure of ∠OST is equal to:

  29. SSC CGL • 2025

    Three partners, A, B, and C started a firm with investments in the ratio 3 : 2 : 4. After 6 months, A doubled his capital, B halved his, and C maintained his investment. If the total profit after one year was Rs. 1,80,000, what was B's share of profit?

  30. SSC CHSL • 2021

    If △ABC, ∠B=90º, AB = 8 cm and BC = 15 cm. D is a point on BC such that AD bisects ∠A. The length (in cm) of BD is:

  31. SSC CHSL • 2025

    Two similar triangles have areas in the ratio of 49:81. What is the ratio of their corresponding altitudes?

  32. SSC Selection Post • 2022

    Two persons, A and B, invested in a business with Rs. 122400 and Rs. 81600 respectively. They agree that 40% of the profit should be divided equally among them, and the rest is divided between them according to their investment. If A got Rs. 2424 more than…

  33. SSC Selection Post • 2024

    6²⁵ + 6²⁶ + 6²⁷ + 6²⁸ is divisible by :

  34. SSC CGL • 2025

    The time taken to cover 132 km by car is 1 hour. Find the time taken to cover 88 km by car.

  35. SSC CGL • 2024

    2\ +\ tan²\ 2A\ +\ cot²\ 2A over sec\ 2A\ .\ cosec\ 2A is equal to ____.

  36. SSC CGL • 2025

    Two individuals, A and B, rent a pasture together. A grazes 12 horses for 5 months. B grazes 18 cows for 6 months and 24 sheep for 5 months. The following relationships are given: 3 horses are equivalent to 6 cows 6 cows are equivalent to 12 sheep What…

  37. SSC CHSL • 2025

    If x = √32 + √8, then what is the value of x²?

  38. SSC CHSL • 2020

    The value of [Image] is:

  39. SSC CGL • 2019

    If x = (164)¹⁶⁹ + (333)³³⁷ - (727)⁷²⁶, then what is the units of digit x ?

  40. SSC CHSL • 2019

    A man travels a certain distance at 12 km/h and returns to the starting point at 9 km/h. The total time taken by him for the entire journey is [Image] hours. The total distance (in km) covered by him is:

  41. SSC CGL • 2025

    The speeds of two motorcyclists are in the ratio 5:3. If the slower motorcyclist has a 24 km head start, and his speed is 12 km/h, how far (in km) will the faster motorcyclist travel to overtake him?

  42. SSC CGL • 2025

    A pyramid with an equilateral triangular base of side 10 cm and height 14 cm is placed on top of a cube with side length 10 cm. Find the total volume of the composite solid.

  43. SSC GD • 2021

    A sum of Rs. 10500 amounts to Rs. 12705 in 2 years at x % p.a., when the interest is compounded annually. The same sum will amount (in Rs.) to what at 2 x % p.a. in 1 1/2 years, when interest compounded half yearly?

  44. SSC CHSL • 2020

    The following pie chart shows the ratio of the number of imports by a company to the number of exports from that company from 2013 to 2019. [Image] If the imports in 2016 were Rs.250 million and the total exports in the years 2016 and 2017 together were…

  45. SSC CGL • 2023

    Rekha alone can complete a work in 16 days, and Bina alone can complete the same work in 12 days. Starting with Rekha, they work on alternate days. The total work will be completed in:

  46. SSC CGL • 2019

    The value of [Image] is:

  47. SSC CGL • 2022

    Chords AB and CD of a circle, when produced, meet at the point P. If AB = 6.3 cm, BP = 4.5 cm, and CD = 3.6 cm then the length ( in cm) of PD is

  48. SSC CGL • 2023

    The following table gives the information of the number of students (in thousands) placed in five different companies during six different years. [Table] What is the difference (in thousands) between the students placed in all companies in the year 2014 and…

  49. SSC MTS • 2022

    Karun borrowed ₹12,000 from Varun and ₹15,000 from Tarun, each for two years at the same rate of simple interest per annum. If he paid an interest of ₹1,680 to Varun at the end of 2 years, then what is the interest that Karun paid to Tarun at the end of the…

  50. SSC CGL • 2025

    If two partners invest for the same period but share profits in 2 : 3, and the total profit is Rs. 15,000, what is the capital of the second partner if the first invested Rs. 10,000?