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# If a number is a multiple of 6, then it must also be a

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Director
Joined: 05 Jul 2004
Posts: 893

Kudos [?]: 65 [0], given: 0

If a number is a multiple of 6, then it must also be a [#permalink]

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09 Apr 2005, 20:44
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If a number is a multiple of 6, then it must also be a multiple of 3 and it must be an even number. I have a number X which is a multiple of 3. I may assume that:
A. It must be an even number.
B. It may be an even number but doesn't have to be.
C. It cannot be an even number.
D. It cannot be a multiple of 6.
E. It can be a multiple of 6 or an even number, but not both.

I dont have any OA. just wanted to confirm my answer..

Kudos [?]: 65 [0], given: 0

Manager
Joined: 17 Dec 2004
Posts: 71

Kudos [?]: 14 [0], given: 0

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10 Apr 2005, 09:03
A. It must be an even number - consider 9 - NO.
B. It may be an even number but doesn't have to be - pretty open-ended, but YES (consider 9, 12)
C. It cannot be an even number - consider 9 again - NO.
D. It cannot be a multiple of 6 - consider 12 - NO.
E. It can be a multiple of 6 or an even number, but not both - consider 12 again, NO.

Kudos [?]: 14 [0], given: 0

VP
Joined: 26 Apr 2004
Posts: 1208

Kudos [?]: 820 [0], given: 0

Location: Taiwan

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10 Apr 2005, 09:37
jpv wrote:
If a number is a multiple of 6, then it must also be a multiple of 3 and it must be an even number. I have a number X which is a multiple of 3. I may assume that:
A. It must be an even number.
B. It may be an even number but doesn't have to be.
C. It cannot be an even number.
D. It cannot be a multiple of 6.
E. It can be a multiple of 6 or an even number, but not both.

I dont have any OA. just wanted to confirm my answer..

A. It must be an even number.
too absolute
B. It may be an even number but doesn't have to be.
moderate reasoning
C. It cannot be an even number.
too absolute
D. It cannot be a multiple of 6.
too absolute
E. It can be a multiple of 6 or an even number, but not both.
too absolute, may be both

Kudos [?]: 820 [0], given: 0

Director
Joined: 05 Jul 2004
Posts: 893

Kudos [?]: 65 [0], given: 0

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11 Apr 2005, 16:32
I dont have any OA. But I agree with (B).

Kudos [?]: 65 [0], given: 0

VP
Joined: 25 Nov 2004
Posts: 1482

Kudos [?]: 126 [0], given: 0

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11 Apr 2005, 18:56
A. It must be an even number=> must is too strong.
B. It may be an even number but doesn't have to be=> may be ok.
C. It cannot be an even number=> cannot be too strong.
D. It cannot be a multiple of 6=> cannot be too strong.
E. It can be a multiple of 6 or an even number, but not both=> can be ok, but cannot be both means cannot be a multiple of 6 and even integer. too strong too because all multiples of 6 are even integers.

B wins.

Kudos [?]: 126 [0], given: 0

GMAT Club Legend
Joined: 07 Jul 2004
Posts: 5036

Kudos [?]: 437 [0], given: 0

Location: Singapore

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11 Apr 2005, 19:01
1)If num is multiple of 6, then num is multiple of 3
If 1) is true, then num is even

A. It must be an even number.
- Out. We're not sure of that.

B. It may be an even number but doesn't have to be.
- This is the answer. There's a possibility it might be even, but it doesn't have to be the case

C. It cannot be an even number.
- Out.

D. It cannot be a multiple of 6.
- Can't tell

E. It can be a multiple of 6 or an even number, but not both.
- Out.

B it is.

Kudos [?]: 437 [0], given: 0

11 Apr 2005, 19:01
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