Concept: The question tests on the application in Overlapping sets in a DS format
Solution:
Statement 1: The recruitment committee has 3 more members than the marketing committee.
We do not know the number of member in either of the communities.
Answer options could be B, C or E.
Therefore Statement 1 Alone is Insufficient.
Statement 2: At a joint meeting of both the recruitment and the marketing committee, there were 8 people present, and no member of either committee was absent.
We know that the total number of members = 8. This does not give us individual values of the number of members.
Answer Options could be C or E
Therefore Statement 2 Alone is Insufficient.
Combining Both Statements:
Total members = 8 and the recruitment committee has 3 more members than the marketing committee.
Total = those only in recruitment + both + only marketing = 8
One possibility = 1 (R) + 3 (R & M) + 4 (M). Total Marketing = 7 and Total recruitment = 4. Difference = 7 - 4 = 3
Another possibility = 0(R) + 5 (R & M) + 3 (M). Total Marketing = 8 and Total recruitment = 5. Difference = 8 - 5 = 3
Therefore Both Statements together are Insufficient.
Option E