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Consider the following argument:
"In, order to be a teacher one must graduate from college. All poets are poor. Some Mathematicians are poets. No college graduate is poor." Which one of the following is not a valid conclusion regarding the above argument?
- a)Some Mathematicians are not teachers.
- b)Some teachers are not Mathematicians.
- c)Teachers are not poor.
- d)Poets are not teachers.
Correct answer is option 'B'. Can you explain this answer?
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Verified Answer
Consider the following argument:"In, order to be a teacher one mus...
Solution: Instead of using Venn diagrams and spending time, simply use logic to solve this.Since teachers can only be college graduates and since no college graduates are poor, so C is correct. Moreover, since poets are poor, no poet can be a teacher. Also, since some mathematicians are also poets (and poor) they can’t be teachers. So, A is also correct.B can not be said with absolute certainty. Hence B is incorrect and the answer.
Most Upvoted Answer
Consider the following argument:"In, order to be a teacher one mus...
Invalid Conclusion: Some teachers are not Mathematicians (Option B)
Explanation:
To determine the validity of the conclusion, we need to carefully analyze the given premises and see if the conclusion logically follows from them.
Given Premises:
1. In order to be a teacher, one must graduate from college.
2. All poets are poor.
3. Some Mathematicians are poets.
4. No college graduate is poor.
Analysis:
1. In order to be a teacher, one must graduate from college.
- This premise establishes a requirement for becoming a teacher, stating that graduation from college is necessary.
2. All poets are poor.
- This premise states a generalization that all poets are poor.
3. Some Mathematicians are poets.
- This premise implies that there exists a subset of Mathematicians who are also poets.
4. No college graduate is poor.
- This premise states that all college graduates are not poor.
Conclusion:
Option A: Some Mathematicians are not teachers.
- This conclusion is valid because premise 3 establishes that there are Mathematicians who are also poets, and not all poets are teachers. Therefore, it is possible for some Mathematicians to not be teachers.
Option B: Some teachers are not Mathematicians.
- This conclusion is not valid because the premises do not provide any information about the relationship between teachers and Mathematicians. Without any direct connection or supporting evidence, we cannot conclude that some teachers are not Mathematicians based on the given premises.
Option C: Teachers are not poor.
- This conclusion is valid because premise 4 states that no college graduate is poor, and the first premise establishes that in order to be a teacher, one must graduate from college. Therefore, all teachers are college graduates and, according to premise 4, not poor.
Option D: Poets are not teachers.
- This conclusion is valid because premise 2 states that all poets are poor, and the first premise establishes that in order to be a teacher, one must graduate from college. Therefore, all teachers are college graduates and, according to premise 2, not poets.
Conclusion:
The conclusion that is not valid regarding the given argument is option B: Some teachers are not Mathematicians.
Explanation:
To determine the validity of the conclusion, we need to carefully analyze the given premises and see if the conclusion logically follows from them.
Given Premises:
1. In order to be a teacher, one must graduate from college.
2. All poets are poor.
3. Some Mathematicians are poets.
4. No college graduate is poor.
Analysis:
1. In order to be a teacher, one must graduate from college.
- This premise establishes a requirement for becoming a teacher, stating that graduation from college is necessary.
2. All poets are poor.
- This premise states a generalization that all poets are poor.
3. Some Mathematicians are poets.
- This premise implies that there exists a subset of Mathematicians who are also poets.
4. No college graduate is poor.
- This premise states that all college graduates are not poor.
Conclusion:
Option A: Some Mathematicians are not teachers.
- This conclusion is valid because premise 3 establishes that there are Mathematicians who are also poets, and not all poets are teachers. Therefore, it is possible for some Mathematicians to not be teachers.
Option B: Some teachers are not Mathematicians.
- This conclusion is not valid because the premises do not provide any information about the relationship between teachers and Mathematicians. Without any direct connection or supporting evidence, we cannot conclude that some teachers are not Mathematicians based on the given premises.
Option C: Teachers are not poor.
- This conclusion is valid because premise 4 states that no college graduate is poor, and the first premise establishes that in order to be a teacher, one must graduate from college. Therefore, all teachers are college graduates and, according to premise 4, not poor.
Option D: Poets are not teachers.
- This conclusion is valid because premise 2 states that all poets are poor, and the first premise establishes that in order to be a teacher, one must graduate from college. Therefore, all teachers are college graduates and, according to premise 2, not poets.
Conclusion:
The conclusion that is not valid regarding the given argument is option B: Some teachers are not Mathematicians.
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Consider the following argument:"In, order to be a teacher one must graduate from college. All poets are poor. Some Mathematicians are poets. No college graduate is poor." Which one of the following is not a valid conclusion regarding the above argument? a)Some Mathematicians are not teachers.b)Some teachers are not Mathematicians.c)Teachers are not poor.d)Poets are not teachers.Correct answer is option 'B'. Can you explain this answer?
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Consider the following argument:"In, order to be a teacher one must graduate from college. All poets are poor. Some Mathematicians are poets. No college graduate is poor." Which one of the following is not a valid conclusion regarding the above argument? a)Some Mathematicians are not teachers.b)Some teachers are not Mathematicians.c)Teachers are not poor.d)Poets are not teachers.Correct answer is option 'B'. Can you explain this answer? for UPSC 2024 is part of UPSC preparation. The Question and answers have been prepared according to the UPSC exam syllabus. Information about Consider the following argument:"In, order to be a teacher one must graduate from college. All poets are poor. Some Mathematicians are poets. No college graduate is poor." Which one of the following is not a valid conclusion regarding the above argument? a)Some Mathematicians are not teachers.b)Some teachers are not Mathematicians.c)Teachers are not poor.d)Poets are not teachers.Correct answer is option 'B'. Can you explain this answer? covers all topics & solutions for UPSC 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for Consider the following argument:"In, order to be a teacher one must graduate from college. All poets are poor. Some Mathematicians are poets. No college graduate is poor." Which one of the following is not a valid conclusion regarding the above argument? a)Some Mathematicians are not teachers.b)Some teachers are not Mathematicians.c)Teachers are not poor.d)Poets are not teachers.Correct answer is option 'B'. Can you explain this answer?.
Consider the following argument:"In, order to be a teacher one must graduate from college. All poets are poor. Some Mathematicians are poets. No college graduate is poor." Which one of the following is not a valid conclusion regarding the above argument? a)Some Mathematicians are not teachers.b)Some teachers are not Mathematicians.c)Teachers are not poor.d)Poets are not teachers.Correct answer is option 'B'. Can you explain this answer? for UPSC 2024 is part of UPSC preparation. The Question and answers have been prepared according to the UPSC exam syllabus. Information about Consider the following argument:"In, order to be a teacher one must graduate from college. All poets are poor. Some Mathematicians are poets. No college graduate is poor." Which one of the following is not a valid conclusion regarding the above argument? a)Some Mathematicians are not teachers.b)Some teachers are not Mathematicians.c)Teachers are not poor.d)Poets are not teachers.Correct answer is option 'B'. Can you explain this answer? covers all topics & solutions for UPSC 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for Consider the following argument:"In, order to be a teacher one must graduate from college. All poets are poor. Some Mathematicians are poets. No college graduate is poor." Which one of the following is not a valid conclusion regarding the above argument? a)Some Mathematicians are not teachers.b)Some teachers are not Mathematicians.c)Teachers are not poor.d)Poets are not teachers.Correct answer is option 'B'. Can you explain this answer?.
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