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# Quant Mix || 01.06.2021

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Question 1

A and B can do a piece of work in 12 days, B and C in 8 days and C and A in 6 days. How long would B take to do the same work alone?

Question 2

A reservoir is in the shape of a frustum of a right circular cone. The radii of its circular ends are 4m and 8 m and its depth is 7m. How many kilolitre of water (correct up to one decimal place) can it hold?

(Take )

Question 3

The salary of A is increased by 10% and then decreased by 10%. Find the net change in the salary.

Question 4

If Rs. 782 is divided into three parts in ratio of , then the first part is:

Question 5

If x + (1/x) = √13, then what is the value of x5 – (1/x5)?

Question 6

The side of an equilateral ∆ABC is 60 cm. Find the circumradius of the triangle.

Question 7

A vessel is in the form of a  cylinder mounted on a hemisphere.The diameter of the hemisphere is 18 cm and the ratio of the height of cylinder and radius of the hemisphere is 2:1. Find the volume of the vessel.

Question 8

What is the value of [2sin(45 + θ).sin(45 – θ)]/cos 2θ?

Question 9

Which one of the following is a factor of the sum of first twenty-five natural numbers?

Question 10

A train 800 m long is running at the speed of 78 km/h. If it crosses a tunnel in 1 min, then the length of the tunnel (in m) is
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