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02 Jul 2025, 01:09
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Y = number of members who attend yoga sessions
S = number of members who attend strength training sessions
Goal: Is Y>S?
Statement (1):
This tells us that yoga attendees are not exclusive—they also attend other types of sessions, possibly including strength training, cardio, etc. But we don't know how many people attend yoga.We don’t know what the "other types" of sessions are.We don't know how many attend strength training.
Statement (1) alone is insufficient.
Statement (2):
This is stronger: it tells us that all yoga attendees are a subset of strength training attendees, the number of yoga attendees is not greater than the number of strength training attendees.
Statement 2 is sufficient because if all yoga attendees are also in strength training, then yoga count cannot exceed strength count.
So Statement (2) alone is sufficient.
(B) Statement (2) alone is sufficient, but statement (1) alone is not sufficient.
S = number of members who attend strength training sessions
Goal: Is Y>S?
Statement (1):
This tells us that yoga attendees are not exclusive—they also attend other types of sessions, possibly including strength training, cardio, etc. But we don't know how many people attend yoga.We don’t know what the "other types" of sessions are.We don't know how many attend strength training.
Statement (1) alone is insufficient.
Statement (2):
This is stronger: it tells us that all yoga attendees are a subset of strength training attendees, the number of yoga attendees is not greater than the number of strength training attendees.
Statement 2 is sufficient because if all yoga attendees are also in strength training, then yoga count cannot exceed strength count.
So Statement (2) alone is sufficient.
(B) Statement (2) alone is sufficient, but statement (1) alone is not sufficient.
02 Jul 2025, 01:40
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Out of 180 gym members, is the number of members who attend yoga sessions greater than the number who attend strength training sessions?
(1) Every member who attends yoga sessions also attends at least one other type of session.
(2) Every member who attends yoga sessions also attends strength training sessions.
AD -> 1. we have no information about strength training sessions-> the answer can be yes or no -> hence, insufficient.
BCE -> 2. Member in Yoga <= strength training sessions, in both cases our answer is NO -> Sufficient hence B is the answer.
(1) Every member who attends yoga sessions also attends at least one other type of session.
(2) Every member who attends yoga sessions also attends strength training sessions.
AD -> 1. we have no information about strength training sessions-> the answer can be yes or no -> hence, insufficient.
BCE -> 2. Member in Yoga <= strength training sessions, in both cases our answer is NO -> Sufficient hence B is the answer.
02 Jul 2025, 01:42
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Statement 1 alone is not sufficient, as we don't know about other types of sessions. They could be strength training, swimming, Zumba, etc.
Statement 2 alone is sufficient because members who attend yoga are a subset of those who attend strength training.
For example, if 20 members attend yoga, those 20 also attend strength training. Now, as for strength training, it could be the case that these 20 are the only ones who attend, or it could be the case that there may be, say, 10 people who attend strength training but not yoga. In either case, the number of members attending yoga is less than or equal to one's attending strength training.
Hence, we can answer 'No' to the question asked.
Option B.
Statement 2 alone is sufficient because members who attend yoga are a subset of those who attend strength training.
For example, if 20 members attend yoga, those 20 also attend strength training. Now, as for strength training, it could be the case that these 20 are the only ones who attend, or it could be the case that there may be, say, 10 people who attend strength training but not yoga. In either case, the number of members attending yoga is less than or equal to one's attending strength training.
Hence, we can answer 'No' to the question asked.
Option B.
Bunuel
