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​

Answer 1

Answer:

converse of the statement

Answer 2

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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