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Q.

Which of the following is not logically equivalent to the following proposition?

A real number is either rational or irrational'

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a

If a number is neither rational nor irrational, then it is not real

b

If a number is not a rational or not an irrational, then it is not real

c

If a number is not real, then it is neither rational or irrational

d

If a number is real, then it is rational or irrational

answer is B.

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Detailed Solution

Given proposition is not logically equivalent to 'If a number is not a rational or not an irrational, then it is not real'.

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