GATE CSE 2026 Session 1 Q5: Statement not implied by 'teacher in room ⇒ students stand silently'

'When the teacher is in the room, all students stand silently.'

If the above statement is true, which one of the following statements is not necessarily true?

Try it: multiple choice: exactly one correct option

Wrong answer costs 1/3 mark in GATE.

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Answer: C (official GATE 2026 final answer key)

Concept used: An implication implies its contrapositive and weaker consequents, but not its converse.

First step: Write the statement as $T \Rightarrow (\text{stand} \wedge \text{silent})$ and check which option is the converse.

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Source: official GATE 2026 Session 1 CS question paper and final answer key, organised by IIT Guwahati. Question paper · Answer key