Read the given statement and conclusions carefully. Assuming that the information in the statement is true, even if they appear to be in variance with commonly known facts, select which of the conclusions logically follow(s) from the statement beyond reasonable doubt.

Statements:

I. All doctors are dancers
II. All dancers are singers

Conclusions:

I. All doctors are singers
II. No singers are doctors

1. A

   Neither of the conclusion follows

2. B

   Both conclusion I and II follows

3. C

   Only conclusion II follows

4. D

   Only conclusion I follows

Appeared in: DSSSB - 29 August 2019 (Shift-2)

Explanation

• The statements establish a transitive relationship: If all A are B, and all B are C, then all A are C.
• In this case, Doctors (A) are a subset of Dancers (B), and Dancers (B) are a subset of Singers (C).
• Therefore, it logically follows that Doctors (A) must be a subset of Singers (C).
• Conclusion I, 'All doctors are singers', correctly reflects this logical deduction.
• Conclusion II, 'No singers are doctors', directly contradicts this deduction, as the set of doctors is entirely contained within the set of singers.

Why Other Options Were Wrong

• Option A: This option is incorrect because Conclusion I is a valid deduction from the statements.
• Option B: This option is incorrect because Conclusion II is logically false. It contradicts the relationship established by the statements.
• Option C: This option is incorrect because Conclusion II is false. The statement 'No singers are doctors' is a direct contradiction to the fact that all doctors are singers.

Related Visual

Clinical Relevance

• Nursing practice connection: This is primarily an exam-oriented knowledge point with limited direct bedside application, so retain Syllogism and Logical Deduction as background academic context rather than a clinical decision trigger.
• This question assesses logical reasoning and analytical skills, which are crucial for nurses.
• Nurses use deductive reasoning daily to interpret patient symptoms, lab results, and medical histories to arrive at accurate clinical judgments.
• For example, if a nurse knows 'All patients with condition X have symptom Y' and 'This patient has condition X', they can deduce 'This patient will likely have symptom Y' and monitor for it.

How to Approach the Question

• First, identify the relationship between the categories in each statement. Both are 'All A are B' type statements, indicating a subset relationship.
• Combine the statements to form a logical chain. Here, Doctors → Dancers and Dancers → Singers combine to form Doctors → Dancers → Singers.
• Visualize this chain. A Venn diagram with concentric circles is the most effective method for this type of problem.
• Evaluate Conclusion I ('All doctors are singers') against your visual or logical chain. It is a direct and valid deduction.
• Evaluate Conclusion II ('No singers are doctors'). This is a negative statement. Check if it contradicts your chain. Since all doctors are singers, there is an overlap, making this conclusion false.
• Select the option that correctly identifies which conclusions are valid and which are not.

Concept Tested & Keywords

• Concept Tested: Syllogism and Logical Deduction
• Stem keywords: All doctors are dancers, All dancers are singers, logically follow
• Lead-in keywords: select which of the conclusions logically follow(s)

Question ID

Qf_IKAr15xZrR9-5RP3NQ-

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