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题库 / Prep2007E2-DS-87
Is the integer n a multiple of 15 ?
(1) n is a multiple of 20.
(2) n + 6 is a multiple of 3.
Statement (1) ALONE is sufficient, but statement (2) alone is not sufficient.
Statement (2) ALONE is sufficient, but statement (1) alone is not sufficient.
BOTH statements TOGETHER are sufficient, but NEITHER statement ALONE is sufficient.
EACH statement ALONE is sufficient.
Statements (1) and (2) TOGETHER are NOT sufficient.
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Statement 1: if n = 40 then answer is no, if n = 60 , answer is yes.
Thus not sufficient.
Statement 2: n+6 is a multiple of 3 => n + 6 = 3m => n = 3m -6
=> n = 3( m - 2) , now if 7 = 3, its true , if m = 4 not true.
thus not sufficient.
If you combine both , n is multiple of both 3 and 5(as multiple of 20)
=> n is multiple of 15.
Thus C
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