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# Which of the following must be an integer if x is a positive integer

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Math Expert
Joined: 02 Sep 2009
Posts: 52294
Which of the following must be an integer if x is a positive integer  [#permalink]

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12 Mar 2018, 21:14
00:00

Difficulty:

35% (medium)

Question Stats:

71% (01:17) correct 29% (01:43) wrong based on 78 sessions

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Which of the following must be an integer if x is a positive integer and $$\frac{4}{x} + \frac{5}{x} + \frac{6}{x}$$ is an integer ?

A. x/5
B. 5/x
C. x/30
D. 30/x
E. x/120

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Re: Which of the following must be an integer if x is a positive integer  [#permalink]

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12 Mar 2018, 22:42
X can be 15,5 or 3 if take x=3 then only D follows .
if we take x=5 both A ,B and D follows
If x=15 then A and D follows so we can see that only D is correct
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Re: Which of the following must be an integer if x is a positive integer  [#permalink]

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12 Mar 2018, 23:02
arvind910619 wrote:
X can be 15,5 or 3 if take x=3 then only D follows .
if we take x=5 both A ,B and D follows
If x=15 then A and D follows so we can see that only D is correct

How did u count that 15,5 and 3?
VP
Status: Learning
Joined: 20 Dec 2015
Posts: 1041
Location: India
Concentration: Operations, Marketing
GMAT 1: 670 Q48 V36
GRE 1: Q157 V157
GPA: 3.4
WE: Engineering (Manufacturing)
Re: Which of the following must be an integer if x is a positive integer  [#permalink]

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13 Mar 2018, 00:14
2
Jahfors wrote:
arvind910619 wrote:
X can be 15,5 or 3 if take x=3 then only D follows .
if we take x=5 both A ,B and D follows
If x=15 then A and D follows so we can see that only D is correct

How did u count that 15,5 and 3?

HI 4/x+5/x+6/x is an integer 15/x = integer
So x can take values 15 ,3 , 5 and 1
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Re: Which of the following must be an integer if x is a positive integer &nbs [#permalink] 13 Mar 2018, 00:14
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