New Question from Gregmat Problem Solving

The answer is D, shouldn’t the quantities be flipped if B has a larger radius?

Because P+M should be greater than M alone ?

I meant that in the question it says
Radius of B is greater that A
But, the according to the answer the radius of A is greater than B

Yes

Does this too doesn’t have a video solution yet ?

@Leaderboard Is this question correct?

It isn’t - A is a subset of B since it consists of all students who are taking two classes, not 1 (so B, but not A, would include those that are taking mathematics but not physics). Hence the radius of B should be greater than A.

I am confused about this, the statement can interpreted in two ways:

  1. We have mathematics students in B, some of these mathematics students have opted for physics as well. In this case B would be the bigger circle and A would be the subset
    In this interpretation, we are considering A to be P \cap M
    (which is what I think you are trying to say)

  2. We can also interpret the statements as: A is a collection of Physics and Math students, some of the students in this collection have Math (B), so B is a subset of A
    In this interpretation, we are considering A to be P \cup M

P \cap M is a subset of M, but M is a subset of P \cup M
According to the answer, statement 1 would be the correct interpretation
Could you explain why the second one is the wrong way to interpret the statement

It’s not some, but all for Maths.