John has 10 pairs of matched socks. If he loses 7 individual socks, what is the greatest number of pairs of matched socks he can have left?

(A) 7

(B) 6

(C) 5

(D) 4

(E) 3

Because we have to maximize the pair of matched socks, we will remove 3 pairs(6 socks) out of 10 pairs & 1 sock from the 4th pair.

Thus the no of matching socks pair remaining = 10 -4 = 6

Answer B

If we were asked minimum no of pairs of matched socks, we would have removed all the 7 socks from 7 different pairs out of 10 pairs.

Thus the no of matching socks pair remaining = 10 -7 = 3

Answer E

Hope it helps

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