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Given below are two premises (A and B). Four conclusions are drawn from them. Select the code that states validly drawn conclusion(s) (taking the premises individually or jointly).
Premises:
A. Some dancers are physically fit.
B. Some singers are dancers.
Conclusions:
1. Some singers are physically fit.
2. Some dancers are singers.
3. Some physically fit persons are dancers.
4. Some physically fit persons are singers.
  • a)
    1 and 2
  • b)
    2 and 3
  • c)
    3 and 4
  • d)
    4 and 1
Correct answer is option 'B'. Can you explain this answer?
Most Upvoted Answer
Given below are two premises (A and B). Four conclusions are drawn fro...
Understanding the premises:
Premise A states that some dancers are physically fit. This means that there is a subset of dancers who are physically fit.
Premise B states that some singers are dancers. This means that there is a subset of singers who are also dancers.

Validly drawn conclusions:
To determine which conclusions are valid, we need to analyze how the premises relate to each other and what conclusions can be logically drawn from them.

Conclusion 1: Some singers are physically fit.
This conclusion is valid because premise B states that some singers are dancers, and premise A states that some dancers are physically fit. Therefore, it can be concluded that there is a subset of singers who are physically fit.

Conclusion 2: Some dancers are singers.
This conclusion is valid because premise B states that some singers are dancers. Therefore, it can be concluded that there is a subset of dancers who are also singers.

Conclusion 3: Some physically fit persons are dancers.
This conclusion is not valid. While premise A states that some dancers are physically fit, it does not necessarily mean that all physically fit persons are dancers. There may be physically fit individuals who are not dancers.

Conclusion 4: Some physically fit persons are singers.
This conclusion is not valid. While premise B states that some singers are dancers, it does not necessarily mean that all physically fit persons are singers. There may be physically fit individuals who are not singers.

Valid conclusions:
Based on the premises, the validly drawn conclusions are:
1. Some singers are physically fit.
2. Some dancers are singers.

Therefore, the correct answer is option B: 2 and 3.
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Community Answer
Given below are two premises (A and B). Four conclusions are drawn fro...
From (b), it can be concluded that some dancers are singers.
Now, if we consider (a), we can draw that some physically fit are dancers.
So, conclusions 2 and 3 follow.
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Given below are two premises (A and B). Four conclusions are drawn from them. Select the code that states validly drawn conclusion(s) (taking the premises individually or jointly).Premises:A. Some dancers are physically fit.B. Some singers are dancers.Conclusions:1. Some singers are physically fit.2. Some dancers are singers.3. Some physically fit persons are dancers.4. Some physically fit persons are singers.a)1 and 2b)2 and 3c)3 and 4d)4 and 1Correct answer is option 'B'. Can you explain this answer?
Question Description
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