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Negation

The negation ...

Question

The negation of the statement ''If $X$ becomes the president of party $Y,$ then $X$ will be our next prime minister'' is

X

becomes the president of party

Y

and

X

will not be our next prime minister

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X

becomes the president of party

Y

X

will not be our next prime minister

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X

becomes the president of party

Y,

then

X

will not be our next prime minister

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X

does not become the president of party

Y,

then

X

will not be our next prime minister

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Solution

The correct option is A $X$ becomes the president of party $Y$ and $X$ will not be our next prime minister
$p \to q \equiv\sim p \lor q$
$∴ \sim (p \to q) \equiv p \land \sim q$

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Similar questions

Why is the Prime Minister in India not directly elected by the people?

Choose the most appropriate answer and give reasons for your choice.

(a)In a Parliamentary democracy only the leader of the majority party in the Lok Sabha can become the Prime Minister.

(b)Lok Sabha can remove the Prime Minister and the Council of Ministers even before the expiry of their term.

(c)Since the Prime Minister is appointed by the President there is no need for it.

(d)Direct election of the Prime Minister will involve lot of expenditure on election.

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