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w an integer?

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by sanju09 » Mon Jul 26, 2010 2:38 am
Is w an integer?

1. 3 w is an odd number.
2. 2 w is an even number.

[spoiler]Source: majortests.com[/spoiler]
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by outreach » Mon Jul 26, 2010 3:53 am
is it B?

stmt1
w can be 1/3,5/3,3,5
insuff

stmt2
w can be 2,4,6/2
suff
sanju09 wrote:Is w an integer?

1. 3 w is an odd number.
2. 2 w is an even number.

[spoiler]Source: majortests.com[/spoiler]
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by selango » Mon Jul 26, 2010 6:02 am
stmt1,

3w is odd

w can be 9 or 1/3

Insuff

stmt2,

2w is even

2w=2a[where a is integer]

w=a

Suff

Pick B
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by ptandon » Mon Jul 26, 2010 10:09 am
Clearly A isn't enough for the same reasons mentioned above.
But I didn't get B as enough either, because I didn't read "2w is an even number" as "2w is an even integer".
So my question is, are we assuming that 2w is an even integer to get B as the answer?
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by selango » Mon Jul 26, 2010 10:20 am
ptandon wrote:Clearly A isn't enough for the same reasons mentioned above.
But I didn't get B as enough either, because I didn't read "2w is an even number" as "2w is an even integer".
So my question is, are we assuming that 2w is an even integer to get B as the answer?
stmt2 tell us 2w is an even integer.

2w can be 2,4,6,8,10............

2w is a multiple of 2........

-->2w=2a where a is an integer

w=a.since a is an integer,w also an integer.



Also note 2w can be an even integer only when w is an integer.

So this statement alone is sufficient.,


Hope this clarify.
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by gmatmachoman » Mon Jul 26, 2010 9:50 pm
sanju09 wrote:Is w an integer?

1. 3 w is an odd number.
2. 2 w is an even number.

[spoiler]Source: majortests.com[/spoiler]
IMO B.

Actually odd/even numbers are defined only for integers and not for fractions.

Examples of even numbers are −4, 8, 0, and 22. Examples of odd numbers are −5, 9, 3, and 151. This classification only applies to integers, i.e., a fractional number like 1/2 or 4.201 is neither even nor odd.
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