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(1) 3w is an odd number. (2) 2w is an even number.
hi, an excellent question, which requires that the info be extracted correctly from the available data..
(1) 3w is an odd number. w can be a fraction or an integer.. a) w is an integer- w can take any ODD value.... b) w is a fraction - w can be any ODD/3 example 1/3 :- 3w = 3*1/3 =1........ 5/3 :- 3w = 5/3 * 3 = 5 so Insuff
(2) 2w is an even number. Only possiblity is if w is an integer... check for values- 2w = 6.... w=3...... 2w=0...........w=0..... 2w=16.........w=8 ans is YES Suff
Stat. 1) 3w is an odd number w = 1 3x1 = 3 --> odd w = 1/3 3 x (1/3) = 1 --> odd & non-integer
Thus insufficient
Stat. 2) 2w is an even number. w = 0 2 x 0 = even & int w = 1 2 x 1 = even & int we cannot use fractions for w for stat 2, because then we will not get even number, ex 2 x (1/2) = 1--> odd
i took 2 * 1.7 =3.4 and concluded 'Not suff'. This wrong ... why??? A fraction cannot be an even number.... Why??? Because....you can always append a zero to the end of the decimal representation without changing the value and ....
This is an explanation to all those who may get this qxn wrong because they overlooked this point or didnt know this(like me )
(1) 3w is an odd number --> 3w = odd --> w = odd/3. Now, odd/3 can be an integer (for example if odd=3) as well as non-integer (for example if odd=5).Not sufficient.
(2) 2w is an even number --> 2w = even = 2k, where k is an integer --> w = even/2 = k = integer. Sufficient.
Thanks to another GMAT Club member, I have just discovered this valuable topic, yet it had no discussion for over a year. I am now bumping it up - doing my job. I think you may find it valuable (esp those replies with Kudos).
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