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Among the following propositions two are related in such a way that one is the denial of the other. Which are those propositions?Propositions:(a) All
Question

Among the following propositions two are related in such a way that one is the denial of the other. Which are those propositions?
Propositions:
(a) All elephants are equal to cats
(b) Some elephants are not equal to cats
(c) Some elephants are equal to cats.
(d) Few elephants are also equal to cats.

A.

(a) and (b)

B.

(a) and (d)

C.

(c) and (d)

D.

(a) and (c)

Correct option is A

Proposition Analysis:
(a) All elephants are equal to cats.
This is a universal proposition, claiming that every elephant is equal to a cat.
(b) Some elephants are not equal to cats.
This is a particular negative proposition, asserting that at least one elephant is not equal to a cat.
(c) Some elephants are equal to cats.
This is a particular affirmative proposition, claiming that at least one elephant is equal to a cat.
(d) Few elephants are also equal to cats.
This is a specific type of claim, saying that a small number of elephants are equal to cats.
The two propositions that are related in such a way that one is the denial of the other are-
​(a) All elephants are equal to cats and (b) Some elephants are not equal to cats.
Thus, correct answer is (a) : (a) and (b)

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