GATE CSE 2025 Session 2 Q50: Which Boolean algebra identities are correct

Which of the following Boolean algebraic equation(s) is/are CORRECT?

Try it: multiple select: one or more correct options

Select all correct options. No negative marking, no partial marks.

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Answer: B, C, D (official GATE 2025 final answer key)

Concept used: Consensus theorem, product-of-sums expansion and De Morgan's law; any identity can be checked by comparing minterms.

First step: (B) is the consensus theorem; for (A), compare minterms: the right side contains $\bar{A}\bar{B}C$ , which the left side lacks.

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Source: official GATE 2025 Session 2 CS question paper and final answer key, organised by IIT Roorkee. Question paper · Answer key