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

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

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New post 12 Mar 2018, 22:14
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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
[Reveal] Spoiler: OA

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

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New post 12 Mar 2018, 23:42
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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New post 13 Mar 2018, 00:02
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?
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Re: Which of the following must be an integer if x is a positive integer [#permalink]

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New post 13 Mar 2018, 01:14
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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   [#permalink] 13 Mar 2018, 01:14
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Which of the following must be an integer if x is a positive integer

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