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# is the positiv integer n a multiple of 24 1. n is a multiple

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Manager
Joined: 24 Jul 2010
Posts: 90
Followers: 3

Kudos [?]: 140 [0], given: 12

is the positiv integer n a multiple of 24 1. n is a multiple [#permalink]

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30 Nov 2010, 10:56
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27% (01:22) correct 73% (00:14) wrong based on 21 sessions

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is the positiv integer n a multiple of 24
1. n is a multiple of 4
2. n is a multiple of 6
Math Expert
Joined: 02 Sep 2009
Posts: 33547
Followers: 5944

Kudos [?]: 73760 [0], given: 9903

Re: properties of numbers [#permalink]

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30 Nov 2010, 11:01
Expert's post
whichscore wrote:
is the positiv integer n a multiple of 24
1. n is a multiple of 4
2. n is a multiple of 6

Probably the best way to solve this problem is to test different numbers.

(1) n is a multiple of 4 --> if n=4 then the answer is NO but if n=24 then the answer is YES. Not sufficient.
(2) n is a multiple of 6 --> if n=6 then the answer is NO but if n=24 then the answer is YES. Not sufficient.

(1)+(2) Well, n is obviously a multiple of LCM of 4 and 6, so n is a multiple of 12. Now, again if n=12 then the answer is NO but if n=24 then the answer is YES. Not sufficient.

_________________
Manager
Joined: 24 Jul 2010
Posts: 90
Followers: 3

Kudos [?]: 140 [0], given: 12

Re: properties of numbers [#permalink]

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30 Nov 2010, 11:17
thx bunnel for the explanation !
Re: properties of numbers   [#permalink] 30 Nov 2010, 11:17
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# is the positiv integer n a multiple of 24 1. n is a multiple

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