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Question

The only statement among the following which is a tautology, is


A

BAAB

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B

AAB

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C

AAB

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D

AABB

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Solution

The correct option is D

AABB


Explanation for the correct option

Option (D):AABB

ABABAABAABB
TTTTT
TFFFT
FTTFT
FFTFT

Explanation for the incorrect option

Option (A): BAAB

BAABAABBAAB
TTTTT
TFTFF
FTFFT
FFTFT

Option (B): AAB

Clearly it is a set operation and so it is not a tautology.

Option (C): AAB

Clearly it is a set operation and so it is not a tautology.

Hence, the correct option is D


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