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Q.

A man wears socks of two colours - Black and brown. He has altogether 20 black socks and 20 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?

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a

39

b

20

c

3

d

None of these

answer is A.

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Detailed Solution

Since there are socks of only two colours, so two out of any three socks must always be of the same colour.

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A man wears socks of two colours - Black and brown. He has altogether 20 black socks and 20 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?