This question is from MGMAT CAT:
Of the guests at a charity fundraiser, 180 own both a house in the Hamptons and a house in Palm Beach. If not every guest at the fundraiser owns a house in either the Hamptons or Palm Beach, what is the ratio of the number of people who own a house in Palm Beach but not in the Hamptons to the number of people who own a house in the Hamptons but not in Palm Beach?
(1) One-half of the guests own a house in Palm Beach.
(2) Two-thirds of the guests own a house in the Hamptons.
I was attempting to solve as follows:
Palm Beach Not in Palm Beach Total
Hampton 180 a -
Not in Hampton b - -
Total - - x
b/a = ?
1) Palm Beach Not in Palm Beach Total
Hampton 180 a -
Not in Hampton b - -
Total x/2 - x
In-sufficient
2) Palm Beach Not in Palm Beach Total
Hampton 180 a 2/3x
Not in Hampton b - -
Total x/2 - x
In-sufficient
1 & 2 - Still Insufficient.
OA: E
Now the question mentions the following:
If not every guest at the fundraiser owns a house in either the Hamptons or Palm Beach,
I was just wondering if this information is really needed since we are not using it anywhere. Thanks a lot - Sri