This problem can be easily solved using an overlapping sets table. Unfortunately they are very hard to depict by typing and we're not allowed to post pictures. Fortunately this problem can be solved in a different way as well.

If 7,100 titles are distributed by L and 5,200 are distributed by M, but the grand total is 9,300, we should figure out the overlap. Adding 7,100 and 5,200 gets us a total of 12,300, which is exactly 3,000 more than the total we've been told. Therefore there must be an overlap of 3,000 titles.

A. If half the titles distributed by L totals 3,550, but the overlap is 3,000, then A is not true.

B. If half the titles distributed by M totals 2,600, and the overlap is 3,000, then B is true.

C. This is obviously not true since we've proven that 3,000 titles are sold by both.
_________________

Us this diagram to solve the answer

x=overlapping events
So, (7100-x)+(5100-x)+x=9300
x=3000
Now, logic says that B only holds .

There should not be option D and E in the timer for this question.

Look at it better

it is a multiple answer choice with just three options
_________________

[number of total records] = [number from L] + [number from M] - [overlap]
9300 = 7100 + 5200 - overlap
9300 = 12300 - overlap
-3000 = -overlap
overlap = 3000

Basically, 3000 were distributed by L and M together.
That means:
- Of the 7100 total records L distributed, 3000 were also distributed by M
- Of the 5200 total records M distributed, 3000 were also distributed by L.


This means that the overlap would have to be greater than half of 7100, which is False.


This means that the overlap would have to be greater than half of 5200, which is True.


This means that the overlap would have to be 0, which is False.

Hence, B!