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Total gym members \(-180\)

members attending Yoga sessions \(- Y\)

members attending Strength training sessions \(- S\)

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

No one attends only Yoga sessions. Every element in Y is a subset in at least one other type of sessions. We do not have info of other type of sessions and its members

Not Sufficient

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


This means that \(Y\) is a subset of \(S\). This directly tells that \(Y\leq{S}\)

Sufficient

Answer: B
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The point here is the use of "at least" and "other type of session".
Statement 1 means that those who attend Yoga may attend strengh training or other training session. The statement is not clear. We can't answer.
Statement 2 means that each member who attends yoga also attend strenght. We can deduce that those who attend Yoga are at most equal to those who attend strength.
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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y = number of members who attend yoga sessions. s = number of members who attend strength training sessions

S1 implies that all or just a part of y attends strength training sessions. No information is given about the number of members who only attend strength training sessions but not yoga. So we cannot compare y with s. S1 is insufficient.

S2 implies that all y attends strength training sessions, so s must be greater than or equal to y. S2 is 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.


 


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I) Whith the first assertion we don't have any information about others categories or division between them, only that everyone do at least one more session - Insufficient;

II) Second say that everyone that practice yoga practice another strenght session. So both categories could have the same number of members or yoga could have fewer members. insufficient

I&II) If we joint both options, we can't define if yoga has 20 guys and strenght has 20 and others have 160 members, or yoga has 20 guys and strenght has 30 and others have 150 members. insufficient

Letter E
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is Y>S?
Y: Attend yoga session
S: Attend strength session
AD/BCE
(1) Every member who attends yoga sessions also attends at least one other type of session.
irrelevant to our question... eliminate AD
(2) Every member who attends yoga sessions also attends strength training sessions.
if every member that attends yoda also attends strength, so Y<=S , so it must be false that Y>S, this information is enough
Answer is (B)
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Is Number of Yoga attendees > Number of Strength training attendees?

(1) => Not sure how many types other than yoga (maybe not only strength training). Cannot compare attendees between Yoga and Strength training. => Not sufficient.

(2) => This means yoga attendees are less or equal than strength attendees. => Sufficient

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
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To check if Yoga members > Strength training members

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

Yoga member attends another type of session. No information about strength training members.

Not sufficient


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

Every member who attends yoga also attends strength training. This implies

Yoga members could be equal to Strength training members
or
Yoga members could be less than Strength training members

Hence, we can conclude that Yoga members are not greater than Strength training members. They can be equal or less.

Sufficient

IMHO Option B
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Is Yoga (Y) bigger than Strength (S)?

1. Yoga folks also take some other class (could be strength, could be dance, etc.).
→ Y might be > S, = S, or < S. Not Sufficient.

2. Every Yoga person also does Strength.
→ Yoga group sits inside Strength group ⇒ Y ≤ S ⇒ Y cannot be > S.
We can answer “No.” Sufficient

Answer is B.
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(1)
We know nothing about the number of participants who attend strength training sessions.

Statement (1) alone is insufficient.

(2)
This means that the set of yoga participants is a subset of strength training participants and that the number of members who attend yoga sessions are, at most, the number who attend strength training sessions, never greater than.

Statement (2) alone is sufficient.

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

suppose out of 180, 50 attend yoga session. This statement says these 50 also attend one or more of other sessions, but we don't know anything about how many people attend strength training sessions. It could be <50, or >50.

Hence statement 1 is not sufficient.

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

If suppose there are 50 people attending yoga session, all of these 50 attend strength training too + there could be more people solely attending strength training.
So, we can see that members in yoga will always be less than or equal to members in strength training - never greater.

Statement 2 is sufficient to answer the question.


Answer is B- Statement 2 is sufficient alone but statement 1 is not.
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Even if all who attended yoga attended strength training, we can't be sure if the number of people attending strength training is greater because it can still be EQUAL.
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(1)
It tells us that yoga attendees also attend other sessions, but not specifically which ones. They could be attending strength training or other types. No information about participants in strength training sessions.

Insufficient

(2)
The number of yoga attendees could be equal to strength training attendees, making Y = S, or less if some attend strength training without yoga, making Y < S. But the question is whether Y > S, which is impossible, so the answer is definitively "No".

Sufficient

Correct answer is B
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If we consider just first statement,
We do not have any details about the number of people who attend strength training sessions, therefore a comparison cannot be made.

Now consider just second statement,
It says every member who attends yoga also does strength training, it establishes a direct relation, N(Yoga) <= N(S. Training), since number of people attending strength training sessions cannot be less than Number of people attending yoga.

Therefore we can conclusively say that N(Yoga) is never greater than N(S. Training), B is the correct answer, i.e Condition 2 is 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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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.


We need to figure out if Y > S is just TRUE or FALSE, where Y is the members who attended yoga and S is the members who attended strength training.

Statement 1:
Every member of the yoga group attends one other training, but we are not sure if it is strength training or some other training, so it is not sufficient.

Statement 2:
Every member of the yoga group is in the strength training group-
This implies that either both the groups have an equal number of members or strength is gonna have more members, i.e. Y ≤ S.
Thus we can definitely say that Y>S is FALSE.

Therefore, it is B, only statement 2 is required, and statement 1 alone is not sufficient.
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Statement 1 doesn't give more information about the other trainings so this alone is not sufficient.
where as from the second statement we can derive a relationship between the yoga and strength training sessions.
so alone statement 2 is sufficient and statement 1 alone is not sufficient.
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(1)
Yoga participants also do other classes, but doesn't specify which ones. Doesn't directly compare Y and S.

Statement is insufficient

(2)
All yoga participants are also doing strength training. This means the yoga group is completely contained within the strength training group. Therefore, Y cannot be greater than S (Y <= S).

Statement is sufficient

The right answer is B
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In first statement it can be concluded that the only other option is strength training which every one are attending.
And statement it is already mentioned that Every member attends both sessions. So number will be equal in both cases. So either statement is 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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