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GATE DA 2026 Q38: Logical form of 'creative people succeed iff disciplined'

Question

Assume that a Creative (CC) person will Succeed (SS) if the person is also Disciplined (DD), but will not succeed otherwise. Now, consider the following statements:

(i) C∧S⇔DC \wedge S \Leftrightarrow D

(ii) C⇒(S⇔D)C \Rightarrow (S \Leftrightarrow D)

(iii) C⇔((D⇒S)∨¬S)C \Leftrightarrow ((D \Rightarrow S) \vee \neg S)

Which of the following options is correct?

Try it: multiple choice: exactly one correct option

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Answer: B (official GATE 2026 final answer key)

Concept used: A rule that applies only to creative people is an implication with CC as the premise.

First step: For a creative person, success happens exactly when they are disciplined: C⇒(S⇔D)C \Rightarrow (S \Leftrightarrow D); check whether (i) and (iii) say the same for non-creative people.

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Source: official GATE 2026 DA question paper and final answer key, organised by IIT Guwahati. Question paper · Answer key

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