Each of seven consecutive integers, all greater than positive integer \(n,\) is divided by \(n.\) The seven resulting

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Each of seven consecutive integers, all greater than positive integer \(n,\) is divided by \(n.\) The seven resulting remainders, not necessarily distinct, are assembled into a list \(L.\) What is the value of \(n?\)

(1) List \(L\) contains two odd values and \(5\) even values.

(2) No odd integer appears in list \(L\) more than once.

Answer: C

Source: Manhattan GMAT
Source: — Data Sufficiency |