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# if X is integer > 0 and 4/x + 5/x + 6/x is also integer

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Joined: 30 Oct 2003
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Location: NewJersey USA
if X is integer > 0 and 4/x + 5/x + 6/x is also integer [#permalink]

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09 Feb 2004, 09:50
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if X is integer > 0 and 4/x + 5/x + 6/x is also integer then which of the following is also an integer ?

1) x/5
2) 5/x
3) x/30
4) 30/x
5) x/120

Kudos [?]: 112 [0], given: 0

GMAT Club Legend
Joined: 15 Dec 2003
Posts: 4285

Kudos [?]: 527 [0], given: 0

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09 Feb 2004, 09:55
[4+5+6]/X = 15/X
D is 2 * 15/X = 30/X
_________________

Best Regards,

Paul

Kudos [?]: 527 [0], given: 0

GMAT Club Legend
Joined: 15 Dec 2003
Posts: 4285

Kudos [?]: 527 [0], given: 0

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09 Feb 2004, 09:59
[4+5+6]/X = 15/X
D is 2 * 15/X = 30/X
_________________

Best Regards,

Paul

Kudos [?]: 527 [0], given: 0

SVP
Joined: 30 Oct 2003
Posts: 1788

Kudos [?]: 112 [0], given: 0

Location: NewJersey USA

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09 Feb 2004, 11:34
D is right I

did it differently.
we have 15/X X can be 1,3,5,15
Only 30 is divisible all these integers.

hi paul,

Anand.

Kudos [?]: 112 [0], given: 0

09 Feb 2004, 11:34
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