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If m and n are positive integers, each of the following...

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If m and n are positive integers, each of the following...

Post Wed Dec 06, 2017 10:41 am
If m and n are positive integers, each of the following could be equivalent to,
$$\sqrt{800mn}\ Except.$$

$$A.\ \ 80\sqrt{m}$$
$$B.\ \ 40\sqrt{10m}$$
$$C.\ \ 40m\sqrt{5}$$
$$D.\ \ 20\sqrt{5m}$$
$$E.\ \ 20\sqrt{2m}$$

The OA is D.

I'm really confused with this PS question. Please, can any expert assist me with it? Thanks in advanced.

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GMATWisdom Master | Next Rank: 500 Posts Default Avatar
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Post Wed Dec 06, 2017 1:55 pm
Equate each option equal to √(800mn)
And Find the value of n.
You will find that you get an integer in every case except for option D where you get n = 5/2
Hence D is the correct option

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