The answer has to be

E.

We know there are "ATLEAST" 3 socks for each color. We do not know the actual number of socks for each of the colors so therefore there is no way to find out. Socks could be more than \(100[/] even!

Statement A: There are a total of [m]11\) socks and we know that there are at least \(3\) socks of each color. Lets try and distribute these:

Possibility \(A\)

Blue \(=5\)

Black \(=3\)

Grey \(=3\)

So matched pairs that can be removed \(=4\)

Possibility \(B\)

Blue \(=3\)

Black \(=4\)

Grey \(=4\)

So matched pairs that can be removed \(=5\)

Since there are Two different answers, this statement alone is insufficient.

Statement B: The drawer contains an equal number of Black and Grey socks.

Multiple possibilities. If you revert back to the solution provided for Statement A, in both those possibilities, the number of Black and Grey socks is equal and we have two different answers. This should also answer your concern as to why both statements together are also insufficient to answer the question.

Hence

E should be the correct answer.

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"Nowadays, people know the price of everything, and the value of nothing." Oscar Wilde