Question

Consider the statement ‘p : If a number is divisible by 10, then it is divisible by 5.’

Write the

(i) Negation of the statement (1)

(ii) Converse of the statement (1)

(iii) Contrapositive of the statement (1)​

Answer 1

Given :  statement ‘p : If a number is divisible by 10, then it is divisible by 5.

To find : (i) Negation of the statement (1) (ii) Converse of the statement (1) (iii) Contrapositive of the statement​

Solution:

Contrapositive. Switching the hypothesis and conclusion of a conditional statement and negating both

inverse - Negating both statements

Converse - reversal of both statements

statement ‘p : If a number is divisible by 10, then it is divisible by 5.

(i) Negation of the statement

If a number is not divisible by 10, then it is not  divisible by 5.

(ii) Converse of the statement

If a number is divisible by 5, then it is divisible by 10.

Contrapositive of the statement​

If a number is not divisible by 5, then it is not divisible by 10.

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