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Bunuel
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.


 


This question was provided by GMAT Club
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There are 180 gym members.

We need to find: the number of members who attend Yoga Session > Number who attend Strength Training session.

Statement 1:

(1) Every member who attends yoga sessions also attends at least one other type of session.

Since, we don’t know the number of other sessions that are present. We cannot say anything conclusively.

Hence, Insufficient

Statement 2:

(2) Every member who attends yoga sessions also attends strength training sessions.

Let x be the number of members who attend Yoga sessions.

Then, the number of members who attend Strength Training Sessions = x

Is the number of members who attended yoga sessions > Number of members who attend Strength Training Session ?

if > , we can say Yes.

If < or = we can say No.

We get a Conclusively answer.

Hence, Sufficient

Option B
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(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.

Answer is E
The problem with (1) alone is we don't know what all other type of sessions are provided in the gym; it can be cardio training, X, Y, Z, etc. If 50 people do Yoga then we don't know those 50 do X or strength training so we don't have enough info to compare Yoga vs. strength training.

(2) alone is also not sufficient, If 100 people do yoga, 100 will also do strength training but there can be other people who do X, Y, Z also do strength training sessions. It is possible that number of people doing strength training is >100.

(1) + (2), we don't get enough info to conclude.

Thus, E is the answer.
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(1) Every member who attends yoga sessions also attends at least one other type of session.

From statement (1) we can not have any conclusion. The members who attends yoga could attend strength or any other type of session (we are also not informed if there are only this two sessions or any other more).
Remove choice options A and D.



(2) Every member who attends yoga sessions also attends strength training sessions.

From statement (2) we know that members who attend strength training is greater or equal than the number of members who attend yoga sessions. Is this sufficient to answer our question? Yes, it is. We can answer that "No, the number of members who attend yoga session is no greater than the number of members who attend strength sessions" (it doesn't matter, for the question, whether it is equal or greater, just than it's not lower).

Statement (2) is sufficient, while statement (1) is not. Answer B.
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Bunuel
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.


 


This question was provided by GMAT Club
for the GMAT Club Olympics Competition

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We have to check whether the number of members who attend yoga sessions greater than the number who attend strength training sessions?
People who attend Yoga session - Y
People who attend Strength Training session - S

So we need to check if Y > S

Statement 1:
Every member who attends yoga sessions also attends at least one other type of session.

This does not give any information on yoga sessions with respect to only strength training. it is not enough information to know whether Y > S

Statement 1 is not sufficient

Statement 2:
Every member who attends yoga sessions also attends strength training sessions.

There are 2 possible cases from this statement:

Case 1: Y = S
Since every member who attends yoga sessions also attends strength training sessions, the number of people who attend yoga is the same as training sessions

Case 2: Y < S
Otherwise, there are also people who do strength training sessions but not yoga. This would cause the number to people who attend strength training sessions to be more that yoga sessions.

In both cases we can see that Y<= S.
But this also means that Y > S is not possible.

Statement 2 is sufficient

Answer:
(B)
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Total gym members =180.
Need to find = if number of people attending yoga sessions > number of people attending strength training sessions

Statement 1:
Doesn't really reveal the count of people attending yoga or strength training sessions = Insufficient

Statement 2:
Everyone who does yoga also does strength training, but nothing is mentioned about the opposite, which is how many among those who attend strength training also attend yoga = Insufficient

Combining 1 and 2,
We can't confirm if everyone who attends strength training also attends yoga.

Answer = E
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i chose B for this.
firstly, i think the number of strength members here does not really matter.

for statement 1 : if every member who attends yoga sessions also attends at least one other type of session, we could have a scenario where there are 20 sessions and 20 members in Yoga session, but 30 members in the strength session. we could also have a sceanrio with 20 sessions and 20 members in Yoga session and only 10 members in strength so clearly not sufficient.

for statement 2 : if all members who attends yoga sessions also attends strength training, then Yoga can only be equal to or less than strength training sessions but never greater than. So a hard no makes B sufficient
Bunuel
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.


 


This question was provided by GMAT Club
for the GMAT Club Olympics Competition

Win over $30,000 in prizes such as Courses, Tests, Private Tutoring, and more

 

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Y - who attend yoga session
S - who attend strength session


To identify if : Y > S

1)Every member who attends yoga sessions also attends at least one other type of session.

-> This means no one only attends Yoga
-> Means someone who attends Yoga is also attending strength training or something else - but there is no clarity on this - no link/comparison between Y and S

INSUFFICIENT

2) Every member who attends yoga sessions also attends strength training sessions.

All Y attends -> S
and there could be other people attending S

Means Y <= S

This is sufficient to answer the question


2nd statement is SUFFICIENT -> OPTION B is answer
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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
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Statement 1 alone is sufficient.
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1. Not sufficient as we don't know the ratio or number how many people who attend yoga nd strength training
2. Sufficient. All the people who attended the yoga session also attended strength training, then Y<=S, yoga is either less than or equal to strength, but not greater than.
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S1- Other session, beside yoga and strength training could be anything. Let's say 80 people go for yoga 30 of those go for strength training, 50 for dance. 100 other people who are not going for yoga may or may not go for strength training. Hence insufficient

S2- If all the people who go for yoga go for strength training, then we can defiantly say that number of members who attend yoga sessions are NOT greater than the number who attend strength training sessions. In other words Number of people going for yoga are less than or equal to number of people going for strength training.

Hence Sufficient
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Bunuel
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.


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No because everyone who attends yoga also attends strength training so there has to be an equal amount or less people that attend yoga. Statement 1 does not help in answering the question because we don't have enough information.

Bunuel
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.


 


This question was provided by GMAT Club
for the GMAT Club Olympics Competition

Win over $30,000 in prizes such as Courses, Tests, Private Tutoring, and more

 

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180 gym goers
we need to find :whether yoga members > strength training members

considering only option 1- yoga members also attend other session, but exact session name isn't mentioned -NOT SUFFICIENT

ELIMINATE A, D


considering only option 2- yoga members also attend strength trianing - SUFFICIENT

SO Answer B
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Statement 1: Every member who attends yoga sessions also attends at least one other type of session.
We are not given relation between number of people who attend strength sessions and yoga sessions. Hence not sufficient.

Statement 2: Every member who attends yoga sessions also attends strength training sessions.
If a person attends yoga sessions, they also attend strength. However it is not stated that the opposite is also true. Which means if x people attend yoga, the same x people attend strength, but there may be additional people (suppose y people) who attend strength but not x.

=> yoga = x people and strength = x+y people
=> strength >= yoga
Hence we get an answer from statement 2.
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Option 1 : it doesn't tell us anything about number of people attending strength training session, we only know that the person who attends yoga session also attends at least one other type of session. Not sufficient

Option 2: We know whoever does yoga also goes for strength training, there could be equal number of people doing both or some extra ones would be attending strength training sessions only. Not sufficient


Bunuel
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.


 


This question was provided by GMAT Club
for the GMAT Club Olympics Competition

Win over $30,000 in prizes such as Courses, Tests, Private Tutoring, and more

 

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Answer: B.

180 members.
Is Y > S?

(1) Not Sufficient.
We do not know anything about S.

(2) Sufficient
If S = Y, then is Y>S? NO.
If S > Y, then is Y>S? NO.
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