Archit3110 wrote:
GMATinsight sir , for #2 why aren't we considering that w can be √w ? value of √w will be +ve number( rational / irrational) and when √w multiplied by 2 will give an even number ( rational or irrational)...
had it been given in #2 that 2w is an even integer then w would have to be an integer value ?
GMATinsight wrote:
Bunuel wrote:
Is w an integer?
(1) 3w is an odd number.
(2) 2w is an even number.
Is w a whole number?
1) 3w is an odd number.
2) 2w is an even number.
Queestion: Is w an integer?Statement 1: 3w is an odd number.w may be 1 (an Integer) or 1/3 (a Non-Integer) hence
NOT SUFFICIENTStatement 2: 2w is an Even number.i.e. 2w = even
i.e. w = even/2 = Odd integer (an Integer) hence
SUFFICIENTAnswer: Option B
Archit3110We are considering all possible values of w (Rational and irrational) but can you suggest one value of w which is not Integer yet, 2w is even integer???
You selection of values in statement 2 is not apt. check your examples in your solution
e.g. for w = √5, 2w = 2√5 which is not even Integer so w=√5 is not an acceptable value of w. For any acceptable value of w, 2w must be even integer and then we will examine whether w is an integer or not.