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Is w an integer??

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by harsh.champ » Fri Feb 19, 2010 2:23 pm
Is w an integer?

1. 3w is an odd number.
2. 2w is an even number.
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Source: — Data Sufficiency |
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by Amiman » Fri Feb 19, 2010 2:29 pm
Answer is C

1. not sufficient since w can be an integer or can be a fraction like 1/3
2. not sufficient since w can be an integer or can be a fraction like 1/2

1 and 2 together,
w can be 1 , 3 i.e. an integer. if w is a fraction then no value of w can satisfy both 1 and 2.
so, w has to be an integer.
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by shashank.ism » Sun Feb 21, 2010 5:55 am
harsh.champ wrote:Is w an integer?

1. 3w is an odd number.
2. 2w is an even number.
St.1) 3w is an odd number so 3w odd no. might be divisible or might be not divisible... ====not suff.
St.2) 2w is an even number ...so 2w is divisible by 2 and hence w is an integer....-----suff.
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by Pedros » Mon Feb 22, 2010 7:33 am
property : odd / odd might or might not be an integer.

even / 2 must be an integer.

so B
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by kstv » Mon Feb 22, 2010 9:42 am
IMO B

3w = odd number
if w = 1/3, 3w = 1 odd number .
Not suff.

2W = even number
only fraction to give an interger answer is 1/2 , 2w = 1 an odd number.
cos the answer has to be an even no. which is after all in integer
W has to be an integer.
Suff
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by lunarpower » Tue Feb 23, 2010 6:29 am
this is the sort of problem on which MAKING LISTS is the easiest way to proceed.

statement (1)
3w is 1, 3, 5, 7, 9, 11, 13, ...
so
w is 1/3, 1, 5/3, 7/3, 3, 11/3, ...
insufficient

statement (2)
2w is 2, 4, 6, 8, 10, ...
so
w is 1, 2, 3, 4, 5, ...
sufficient

ans (b)
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