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A man wears socks of two colours - Black and White. He has altogether 30 black socks and 10 brown socks in a drawer. Supposing he has to take out the socks in the dark, how many must he take out to be sure that he has a matching pair ?

Correct Answer: 3

Given there are 2 coloured socks, which is black and White Let suppose 3 is choosen at random then three conditions arises 1. all are black2.all are white3. either it will have 2 black and 1 white or it will have 2 white and 1 black so in all the conditions as above mentioned we are getting atleast one pair of socks.

So, he must take out 3 to be sure that he has a matching pair.

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