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The proposition ‘No red is black’ is equivalent to which of the following propositions? (i) No black is red (ii) All red are black (iii) Some red are not black (iv) Red is not black Select the correct answer from the options given below:

The proposition ‘No red is black’ is equivalent to which of the following propositions? (i) No black is red (ii) All red are black (iii) Some red are not black (iv) Red is not black Select the correct answer from the options given below: Correct Answer (i) and (iv)

Proposition: No red is black

(i) No black is red → Equivalent 

(ii) All red are black → Not equivalent

(iii) Some red are not black → Not equivalent (This is true but not same as the given proposition) 

(iv) Red is not black → Equivalent

So, only (i) and (iv) are equivalent.

Hence, option 3) is the correct answer.

Related Questions

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Propositional logic is referred as
1. statements logic.
2. proposition which join entire proposition.
3. argument logic.
4. proposition does not join entire proposition.
Select the correct answer:
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