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

2

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3

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20

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21

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Solution

The correct option is C $3$
Lets assume that at the forst time, he gets a black sock. If he gets a black sock again at the second time, he has his pair. But if gets a brown in the second time, he will have to go the third time. At the third time, he either gets a black or a brown thereby completing the pair.
Answer: 3

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