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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] If x is an integer, is (54 + 27)/x an integer ?   31 Oct 2018, 09:08
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A
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C
D
E

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15% (low)

Question Stats:

77% (01:18) correct 23% (01:04) wrong based on 539 sessions
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If x is an integer, is (54 + 27)/x an integer ?

(1) 6 <= x <= 81
(2) x is a multiple of 3
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E
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dollytaneja51
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Re: If x is an integer, is (54 + 27)/x an integer ? [#permalink] If x is an integer, is (54 + 27)/x an integer ?   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] If x is an integer, is (54 + 27)/x an integer ?   31 Oct 2018, 09:21
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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] If x is an integer, is (54 + 27)/x an integer ?   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.
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Re: If x is an integer, is (54 + 27)/x an integer ? [#permalink] If x is an integer, is (54 + 27)/x an integer ?   11 Jun 2020, 02:41
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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

SOLUTION:

(54+27)/x = 81/x (for being an integer 81 should be wholly divided by x)

STATEMENT 1-
if, x= 9, yes
if, x= 12, no

BCE

STATEMENT 2 -
if, x=9, yes
if, x=12, no

now CE
if,x= 9, yes
if,x=12, no

ANSWER (E)
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Re: If x is an integer, is (54 + 27)/x an integer ? [#permalink] If x is an integer, is (54 + 27)/x an integer ?   18 Jun 2024, 03:05
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Re: If x is an integer, is (54 + 27)/x an integer ? [#permalink]
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