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

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

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New post 31 Oct 2018, 08:08
00:00
A
B
C
D
E

Difficulty:

  35% (medium)

Question Stats:

69% (01:16) correct 31% (01:07) wrong based on 35 sessions

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

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New post 31 Oct 2018, 08:12
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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New post 31 Oct 2018, 08:21
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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New post 31 Oct 2018, 10:10
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.
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Re: If x is an integer, is (54+27)/x an integer &nbs [#permalink] 31 Oct 2018, 10:10
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If x is an integer, is (54+27)/x an integer

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