Is the number of members who attend yoga sessions (Y) greater than the number who attend strength training sessions (S)?
We are asked: Is Y>S Y > S Y>S ?
Statement (1):
Every member who attends yoga sessions also attends at least one other type of session.
This tells us that no one attends only yoga.
But it doesn't tell us anything about the number of yoga or strength training attendees, or their overlap.
For example, all 180 could attend yoga and something else, or only 1 person could attend yoga and also something else.
We have no information about the number who attend strength training.
Statement (1) alone is NOT sufficient.
Statement (2):
Every member who attends yoga sessions also attends strength training sessions.
This means: All yoga attendees are a subset of strength training attendees.
So, Y≤S .
The question is: Is Y>S With this, the answer is NO (because Y cannot be greater than S).
So, statement (2) is sufficient to answer the question.
Since statement (2) alone is sufficient, we do not need to consider both together.
Final Answer
Statement (2) alone is sufficient, but statement (1) alone is not sufficient.
(B)