Which of following is not logically equivalent to proposition : “A real number is either ratio

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Mathematical Reasoning

easy

Which of the following is not logically equivalent to the proposition : “A real number is either rational or irrational”.

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 nor irrational

D

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

Solution

(b) It is correct.

$\because \,\sqrt 3 $ is not rational but it is real.

Standard 11

Mathematics

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