Set \(S\) consists of all the positive multiples of \(5\) that are less than \(K,\) and \(K\) is a positive integer not

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Set \(S\) consists of all the positive multiples of \(5\) that are less than \(K,\) and \(K\) is a positive integer not divisible by \(5.\) The mean of set \(S\) is not divisible by \(5.\) Let \(N\) be the number of members of the set. \(N\) is not divisible by \(5.\) What does \(N\) equal?

(1) \(N < 52\)
(2) \(\dfrac{K}5 > 48\)

Answer: C

Source: Magoosh