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We are asked:

Out of 180 gym members, is the number of members who attend yoga greater than the number who attend strength training?

Let’s define:
• Y: number of members who attend yoga
• S: number of members who attend strength training

We are asked: Is Y > S?

Let’s evaluate the statements:



Statement (1):

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

This tells us nothing specific about how many attend yoga or strength training. Even if all 180 members attend both yoga and strength training (or other sessions), we can’t compare Y and S.

✅ Not sufficient



Statement (2):

Every member who attends yoga also attends strength training.

This implies:
• All yoga attendees are also strength training attendees.
So the set of yoga attendees is a subset of strength training attendees:
Y \leq S

Therefore, Y > S is not possible under this condition.

So the answer to the question “Is Y > S?” is definitely no.

✅ Sufficient
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Given:
- Total members = 180
- Question: Is the number of yoga attendees > strength training attendees?

Statement 1:

Every member who attends yoga sessions also attends at least one other type of session.
- Which means that no one attends ONLY yoga.
- But we don’t know how many members attend yoga, or how many attend strength.
- So, the number attending yoga could be large or small — and same for strength.

We can't find a definite comparison here. That means the statement (1) alone is NOT sufficient.

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

If we take yoga attendees = Y
And strength training attendees = S

This tells us everyone in yoga is also in strength. So yoga attendees are less than or equal to strength attendees.

But yoga attendees are NOT greater than strength training attendees.

So, Statement (2) alone is sufficient.
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1) not sufficient because there may be some other type of session (zumba for example) that the yoga people attend. you don't know how many people attended the strength training
2) sufficient: if every person who attended yoga also attends strength, then there is no way that more people attended yoga. the maximum amount is 180 who attended yoga which then means 180 also attended strength training.

IMO B
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on one hand:
statement 1: tells us that Yoga = All yoga + [ all members attending at least one other type of session] --> which by itself is insufficient to determine whether Y > S?

*ignoring everything from statement 1*

statement 2: tells us that every yoga member also attends strength training, so we know Y = S, and S= Y + [ whatever members attend just Strength training]

and the prompt doesn't state that there are any other types of sessions available at the gym, but can we assume that there aren't??

if I do keep in mind statement 1 -- although we should generally disregard everything we know from statement 1 when doing DS questions -- then I am inclined to believe that I shouldn't assume that Yoga and Strength are the only sessions, and therefore, this statement is also insufficient,

and together: b/c we do not have info on whether other sessions offered, and count info on how many from the Y group attend those sessions versus Strength Training, then E would be the correct answer choice

If I am allowed to assume that 180 = Yoga + Strength, then the correct answer would be B,

but since that isn't specified in the stem, I'm going to go with E as the correct answer choice.
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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Is Y>S?

1) Every member that participated in Yoga Participated in other sessions as well. We are only concerned with Strength training. Not Sufficient

2) Every member that participated in Yoga Participated in Strength training sessions. So at best Yoga=Strength training or be smaller than Strength training.
This tells us certainly that, members who attend yoga sessions is not greater than the number who attend strength training sessions. Y>S
Answer is B

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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Statement 1 is not sufficient.
Looking at statement 2, we can deduce that number of members attending Yoga <= Number of members attending strength training sessions.
Hence, this statement tells us that the answer to the question asked is FALSE. Hence, SUFFICIENT. Answer is B.
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Total member = T

No of attend Yoga = Y
No of attend Strength = S
Question => Is Y>S.

1. Scenario one: Y = 5, those 5 go to other session, S = 170, => Y<S (no)
Scenerio 2: Y= 175, those 175 also attend other session, and S= 5 => Y>S (yes)

Not Sufficient.

2. Scenerio 2: Y=5, S=5, All Y attend S => Y=S (no)
Scenerio 3: Y=175, S=180. All Y attend S, Some Other also attend S. Y<S (no)



By language you can easily interpret. Statement 1 as Y and S can be anything. There is no condition bound on number of S members. While
Statement 2 says Y either equal to S or less (Y is subset of S) means Y can't be greater than S. That's a definitive "no"



Sufficient

Answer is B.


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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Statement 1 says Every member who attends yoga sessions also attends at least one other type of session. But it doesnt tell anything about strength sessions, therefore insufficient.
Statement2 says Every member who attends yoga sessions also attends strength training sessions. Therefore Number of people who attend yoga sessions are less than equal to the number of people attending strength sessions. Definitely not greater.
Since we get a definite NO as an answer, Statement 2 is sufficient alone.
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Statement 1: This statement does not say anything about whether there are other sessions except the 2 mentioned in the question. So, there is no information about the number of people attending any session.

Statement 2: If everyone who attends yoga also attends strength training, the number of yoga participants would be less than or equal to strength training participants. So it is enough information to answer "No" to the question.

So the answer is B.


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 find : Are the number of members who attend yoga sessions greater than the number who attend strength training sessions?


Statement 1 : We are not aware whether each person who attends the Yoga session attends Strength Training Session or Not as it is not specified.

Hence, 1 is not sufficient

Statement 2 : If every member who attends yoga attends strength training ; Number of Yoga Members is lesser than or equal to Number of Strength Training Members, as there could be other Strength Training members who do not attend Yoga.

Hence, Number of members who attend yoga sessions ARE NOT greater than the number who attend strength training sessions

Statement 2 is Sufficient (B)
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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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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See, their are two conditions. I have ddrawn them below. If you check first situation then we are not sure if the number of yga is greaater than strength so it is not sufficient.

But in case of B, it is always true and number of people doing strength can be higher or equal on;ly so condition 2 is 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.


 


This question was provided by GMAT Club
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(1) Not sufficient. The statement claims that members who attend yoga also attend at least another type; however, there is no clue if it is strength training or other types.
(2) Sufficient. Every yoga member also attends strength training. Meaning that Yoga member is either equal to or smaller than Strength training ( Y < or = S). The question asks if yoga sessions are greater than the number who attend strength training sessions, so the answer is no.

The Answer: (B) Statement (2) ALONE is sufficient, but statement (1) alone is not sufficient.
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Given: 180 Gym Members

Question: Members who attended Yoga Session more then who attended strength training session. (we need answer in yes or no)

Answer we are seeking:

Either we can definitely say people who attend yoga is not greater than strength training session (it can be equal or less)
Or
Definitely say it is greater

Solution:

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

This says who attended yoga also attended one other session.
From this it is sure yoga session members also have other sessions, Therefore we can say Yoga<=other type of sessions.
Now we dont know what portion of other session contributed to strength training and how many members are there in strength training
It can be possible people attending yoga attend other session but not strength training.

So this is not sufficient alone.

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

From this statement we know who attend yoga also attends strength training
So yoga member<=strength training member but not more than that.

We can definitely say no yoga members cant be more than strength training members, it can be equal or less but not more.

This statement alone is sufficient.

Answer is B. Statement 2 Alone is sufficient.
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Well this is one of question, where you don't require any data.

Question is:
number (members attending yoga sessions) > number (members attending strength training sessions)

Statement 1:
If 20 members attend yoga session, then they should at least take one other type of session.
Possibility 1: 20 members attend strength training sessions
Then: number (members attending yoga sessions) = number (members attending strength training sessions) => False
Possibility 2: 30 members attend strength training sessions
Then: number (members attending yoga sessions) < number (members attending strength training sessions) => False
Possibility 3: 10 members attend strength training sessions
Then: number (members attending yoga sessions) > number (members attending strength training sessions) => True
So, nothing can be inferred here.

Statement 2:
If 20 members attend yoga session, then they should also attend strength training sessions.
Possibility 1: 20 members attend strength training sessions
Then: number (members attending yoga sessions) = number (members attending strength training sessions) => False
Possibility 2: 30 members attend strength training sessions
Then: number (members attending yoga sessions) < number (members attending strength training sessions) => False
So, we can infer from statement 2 alone, number of members attending yoga sessions cannot be greater then number members attending strength training sessions.

So answer is B
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Lets take the statements:
Statement A - People who do yoga also participate in other training sessions.

Here explicitly Strength is not mentioned rather other types of training sessions are mentioned

So we cannot say for sure that it satisfy "number of members who attend yoga sessions greater than the number who attend strength training sessions" as we cannot estimate critically or quantitatively the number of strength in Strength session. Hence there is no overlapping clearly define in the sets (sessions).

Therefore, statement A is insufficient.

Statement B: Every people who attend yoga session is also attending strength session.

Ok, here we no at some extent the number is same.
Whether there are peoples who only do strength training or not we don't know let say:
1. There are people who only do strength training - then our statement is False
2. There are no people who do strength training alone - then also out statement is False

In both scenarios we are getting a clear answer about our statement.
Therefore, Statement B is sufficient

Answer - Option B - Statement B alone is sufficient, and Statement A alone is insufficient.
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Question : Yoga sessions > strength training sessions ?

Statement 1:
Everyone who does yoga also does at least one other session. But we don’t know how many people do yoga or strength training, so we can’t compare. Not sufficient

Statement 2:
Everyone who does yoga also does strength training. So yoga is a smaller group or equal to strength training. That means yoga can’t be more than strength. 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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So the question we are trying to answer is yoga>strength. (1) Tells us nothing. insufficient (2) well than yoga could not be greater than only less than or equal too. If yoga is 10 strength must be at least 10. So B
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