Mo2men wrote:The Financial News Daily has 25 reporters covering Asia, 20 covering Europe, and 20 covering North America. Four reporters cover Asia and Europe but not North America, 6 reporters cover Asia and North America but not Europe, and 7 reporters cover Europe and North America but not Asia. How many reporters cover all of the 3 continents (Asia, Europe, and North America)?

(1) The Financial News Daily has 38 reporters in total covering at least 1 of the following continents: Asia, Europe, and North America.
(2) There are more Financial News Daily reporters covering only Asia than there are Financial News Daily reporters covering only North America.

We can use the formula:

total = A + E + NA - (A and E only) - (A and NA only) - (E and NA only) - 2(all three) + none

total = 25 + 20 + 20 - 4 - 6 - 7 - 2(all three) + none

total = 48 - 2(all three) + none

We need to determine "all three." If we know the "total" and "none," then we can determine "all three."

Statement One Alone:

The Financial News Daily has 38 reporters in total covering at least 1 of the following continents: Asia, Europe, and North America.

Thus, total = 38 and none = 0. So we have:

38 = 48 - 2(all three) + 0

2(all three) = 10

all three = 5

Statement one alone is sufficient.

Statement Two Alone:

There are more Financial News Daily reporters covering only Asia than there are Financial News Daily reporters covering only North America.

This doesn't tell us the total number of reporters or the number of reporters covering none of the regions. Statement two alone is not sufficient.

Answer: A