REET MATHEMATICS QUIZ 4

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Question 1:

The simplest value of:
$\frac{1}{\sqrt{2}+\sqrt{3}}+\frac{1}{\sqrt{3}+\sqrt{4}}+\frac{1}{\sqrt{4}+\sqrt{5}}+\frac{1}{\sqrt{5}+\sqrt{6}}$

Question 2:

A motor boat has speed $30 \mathrm{~km} / \mathrm{h}$ in still water. It goes $60 \mathrm{~km}$ down stream and comes back in $\frac{9}{2}$ h. What is the speed of the stream?

Question 3:

45 men can dig a hole working 3 hours in a day in 8 days, then find in how many days 30 women can dig a hole which is twice deep of the earlier working 6 hours in a day.

Question 4:

$4+4.44+44.4+4.04+444-20=?$

Question 5:

The side $\mathrm{BC}$ of as triangle $\mathrm{ABC}$ is extended to the point $\mathrm{D}$. If $\angle A C D=154^{\circ}$ and $\angle B=\frac{4}{7} \angle A$, then measure of $\angle B$ is equal to:

Question 6:

By what least number should 4320 be multiplied so as to obtain a number which is a perfect cube.

Question 7:

A train 270 metres long is running at a speed of $36 \mathrm{~km}$ per hour, then it will cross a bridge of length 180 metres in:

Question 8:

There are 3 numbers are in the ratio $1: 2: 3$ and their H.C.F. is 12 Find the number.

Question 9:

If $x: y=3: 1$ then find $\left(x^{2}-y^{2}\right):\left(x^{2}+y^{2}\right)$.

Question 10:

Find the value of

$(22.99+17.01) \div 1.998 \times 3.997-41.998+644.199=$ ?