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# If x is an integer, is (54+27)/x an integer

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Joined: 27 Oct 2017
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If x is an integer, is (54+27)/x an integer  [#permalink]

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31 Oct 2018, 09:08
1
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Difficulty:

35% (medium)

Question Stats:

62% (01:09) correct 38% (01:08) wrong based on 67 sessions

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If x is an integer, is (54+27)/x an integer
Statement 1: 6 <= x <= 81
Statement 2: x is a multiple of 3

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Re: If x is an integer, is (54+27)/x an integer  [#permalink]

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31 Oct 2018, 09:12
Why C is not the correct answer?

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Re: If x is an integer, is (54+27)/x an integer  [#permalink]

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31 Oct 2018, 09:21
1
dollytaneja51 wrote:
Why C is not the correct answer?

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Hi dollytaneja51
Combined,

a) When x=9( multiple of 3 and $$6\leq{x\leq{81}}$$), $$\frac{81}{x}=\frac{81}{9}$$=An INTEGER
b) When x=6( multiple of 3 and $$6\leq{x\leq{81}}$$), $$\frac{81}{x}=\frac{81}{6}$$=NOT An INTEGER

Hence, E
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Re: If x is an integer, is (54+27)/x an integer  [#permalink]

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31 Oct 2018, 11:10
gmatbusters wrote:
If x is an integer, is (54+27)/x an integer
Statement 1: 6 <= x <= 81
Statement 2: x is a multiple of 3

Alone, either is obviously not sufficient.

Together, 81/x wI'll be integer for 3, 9, 27 and not integers other values such as 6, 12, 18...

E.
Re: If x is an integer, is (54+27)/x an integer   [#permalink] 31 Oct 2018, 11:10
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