Read the statements:(i) All women are entrepreneurs.(ii) Some women are doctorsQ. Which of the following conclusions can be logically inferred from the above statements?a)All women are doctorsb)All doctors are entrepreneursc)All entrepreneurs are womend)Some entrepreneurs are doctorsCorrect answer is option 'D'. Can you explain this answer?

Question

Answer

If all women are entreprenuers and some are doctors then obviously some entrepreneurs are doctors.
PS: In the first statement if we replace "All" by "Some", then none of the options is true.

Answer

Explanation:

Given Statements:

(i) All women are entrepreneurs.
(ii) Some women are doctors.

Analysis:

From statement (i), we can infer that every woman is an entrepreneur.
From statement (ii), we can infer that there exists at least one woman who is a doctor.

Conclusions:

Based on the given statements, we can logically infer the following conclusions:

All entrepreneurs are doctors:
We cannot conclude that all entrepreneurs are doctors because there is no information given about the profession of entrepreneurs in the given statements.

All doctors are entrepreneurs:
We cannot conclude that all doctors are entrepreneurs because statement (i) only states that all women are entrepreneurs, but it does not imply that all doctors are women.

All women are doctors:
We cannot conclude that all women are doctors because statement (ii) states that only some women are doctors, not all women.

Some entrepreneurs are doctors:
From the given statements, we can conclude that there exists at least one woman who is both an entrepreneur and a doctor. Therefore, the conclusion 'Some entrepreneurs are doctors' is logically inferred.

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