Let:
Y = number of members who attend yoga sessions
S = number of members who attend strength training sessions
We want to know if Y > S.
Statement (1): Every member who attends yoga sessions also attends at least one other type of session. This statement tells us that the group of yoga attendees (Y) is a subset of members who attend at least two types of sessions. It doesn't give us any information about the relationship between Y and S.
Example 1: Y = 50, S = 40 (Y > S)
Example 2: Y = 50, S = 60 (Y < S) Since we can get both "yes" and "no" to the question, Statement (1) alone is not sufficient.
Statement (2): Every member who attends yoga sessions also attends strength training sessions. This statement means that the set of people who attend yoga sessions (Y) is a subset of the people who attend strength training sessions (S).
If Y is a subset of S, then the number of members in Y must be less than or equal to the number of members in S (Y ≤ S).
Since Y ≤ S, it is impossible for Y > S. Therefore, the answer to the question "is Y > S?" is definitively "No". Since we get a definitive "No", Statement (2) alone is sufficient.
Conclusion: Statement (1) is not sufficient. Statement (2) is sufficient.
Option : B