Data Sufficiency

We can draw a Venn diagram, with one circle for people who like red wine, and one for people who like white wine. If x people like only white wine, the question tells us 3x people like only red wine. So our Venn has the following zones, using 'b' for the number who like both:

like only red: 3x
like both: b
like only white: x

Statement 1 is not sufficient - it tells us that the sum of the three values above is 60, but you'll have different values for b if you change the value of x.

Statement 2 talks about "the number of members who do not like white wine". That's just the number who like only red wine, so is just 3x. Statement 2 tells us this is 3 times the number who "do like white wine", which is just the sum of those who like both wines, and those who like only white wine. So, as we can see in our Venn diagram, b + x people in total like white wine. So Statement 2 is just telling us that:

3x = 3(x + b)
3x = 3x + 3b
3b = 0
b = 0

and since the question asked for the value of b, Statement 2 is sufficient. The answer is B.

nikhilgmat31 wrote:this is very surprising question.

There is no person who likes both red & white wine. But the question statement says - person like red or white or both.

The "or" does not imply that every category is represented.
If I say that "all of the party attendees were male or female," that does not necessarily mean that there were any male attendees.

The main inference we can draw from "In a certain club, every member likes red wine or white wine or both" is that there are no members who like neither red wine nor white wine.

Cheers,
Brent