Despite its patent -------, this belief has become so ------- that no amount of rational argument will suffice to eradicate it.

Validity . . inconsequential

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Implausibility . . entrenched

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Credibility . . prevalent

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Absurdity . . outmoded

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Novelty . . infrequent

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Solution

The correct option is B Implausibility . . entrenched
Option B is correct because the meaning of implausibility is doubtful and the meaning of entrenched is firmly established and in the given sentence rational argument is enough to answer this question as the meaning of implausible is also doubtful or argument.
Validity means being logical, inconsequential means not important.
Credibility means the quality of being trusted and the meaning of prevalent is frequent or powerful.
The meaning of Absurdity is inappropriate, the meaning of outmoded is old fashioned.
Novelty means the quality of being new, original and meaning of infrequent is not so prevalent.
Hence according to the given sentence "Despite being so doubtful, this belief has become so firmly established that no argument will enough to destroy it.

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