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

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SVP
Joined: 30 Oct 2003
Posts: 1797
Location: NewJersey USA
Followers: 5

Kudos [?]: 41 [0], given: 0

if X is integer > 0 and 4/x + 5/x + 6/x is also integer [#permalink]  09 Feb 2004, 08:50
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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
GMAT Club Legend
Joined: 15 Dec 2003
Posts: 4313
Followers: 27

Kudos [?]: 217 [0], given: 0

[4+5+6]/X = 15/X
D is 2 * 15/X = 30/X
_________________

Best Regards,

Paul

GMAT Club Legend
Joined: 15 Dec 2003
Posts: 4313
Followers: 27

Kudos [?]: 217 [0], given: 0

[4+5+6]/X = 15/X
D is 2 * 15/X = 30/X
_________________

Best Regards,

Paul

SVP
Joined: 30 Oct 2003
Posts: 1797
Location: NewJersey USA
Followers: 5

Kudos [?]: 41 [0], given: 0

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.
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