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06 Aug 2025, 05:40
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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.
(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.
06 Aug 2025, 05:40
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Official Solution:
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.
This tells us that no one attends only yoga, but it doesn’t specify which other session is attended. So:
Suppose 10 members attend yoga, and all of them also attend cardio. Strength training has 5 members. Then yoga > strength, so the answer is Yes.
Suppose 10 members attend yoga, and all of them also attend cardio. Strength training has 50 members. Then yoga < strength, so the answer is No.
Not sufficient.
(2) Every member who attends yoga sessions also attends strength training sessions.
This means the entire yoga group is included in the strength training group. So yoga cannot be greater than strength, giving a definite No answer to the question. Sufficient.
Answer: B
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.
This tells us that no one attends only yoga, but it doesn’t specify which other session is attended. So:
Suppose 10 members attend yoga, and all of them also attend cardio. Strength training has 5 members. Then yoga > strength, so the answer is Yes.
Suppose 10 members attend yoga, and all of them also attend cardio. Strength training has 50 members. Then yoga < strength, so the answer is No.
Not sufficient.
(2) Every member who attends yoga sessions also attends strength training sessions.
This means the entire yoga group is included in the strength training group. So yoga cannot be greater than strength, giving a definite No answer to the question. Sufficient.
Answer: B
08 Aug 2025, 01:02
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Bunuel
Based on the provided statements, we can determine if the number of members who attend yoga sessions is greater than the number of members who attend strength training sessions.
Statement 1: "Every member who attends yoga sessions also attends at least one other type of session."
This statement tells us that all yoga participants are also part of another group, but it doesn't specify which one. It doesn't provide any information about the size of the yoga group or the strength training group, nor does it establish a direct relationship between the two. Therefore, this statement alone is not sufficient to answer the question.
Statement 2: "Every member who attends yoga sessions also attends strength training sessions."
This statement provides a crucial link between the two groups. It means the group of people who attend yoga is a subset of the group of people who attend strength training. For every person in the yoga group, there is a corresponding person in the strength training group. This implies that the number of people who attend yoga sessions cannot be greater than the number of people who attend strength training sessions. It could be less than or equal to, but not greater than. This is sufficient to answer the question with a definite "no."
Conclusion:
Statement (1) is not sufficient.
Statement (2) is sufficient.
Therefore, the correct answer is B.
