Mark the correct answer in each of the following-The statement -If x2 is not even- then x is not even- is converse of the statementa If x2 is odd- then x is evenb If x is not even- then x2 is not evenc If x is even- then x2 is evend If x is odd- then x2 is even

For given statement; nbsp; p: if x2 is not even, then x is not even. nbsp; i.e. p: x2 is not even nbsp; rArr; x is not even. Converse of p; x is not eve ...

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Standard XII

Mathematics

Direct Method of Validation

Mark the corr...

Question

Mark the correct answer in each of the following:
The statement "If x² is not even, then x is not even", is converse of the statement
(a) If x² is odd, then x is even
(b) If x is not even, then x² is not even
(c) If x is even, then x² is even
(d) If x is odd, then x² is even

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Solution

For given statement;
p: if x² is not even, then x is not even.
i.e. p: x² is not even ⇒ x is not even.
Converse of p; x is not even ⇒ x² is not even.
i.e. if x is not even, then x² is not even.

Hence, the correct answer is option B.

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Mark the correct answer in each of the following: The statement "If x2 is not even, then x is not even", is converse of the statement (a) If x2 is odd, then x is even (b) If x is not even, then x2 is not even (c) If x is even, then x2 is even (d) If x is odd, then x2 is even

For given statement; p: if x2 is not even, then x is not even. i.e. p: x2 is not even ⇒ x is not even. Converse of p; x is not even ⇒ x2 is not even. i.e. if x is not even, then x2 is not even. Hence, the correct answer is option B.

Mark the correct answer in each of the following:
The statement "If x² is not even, then x is not even", is converse of the statement
(a) If x² is odd, then x is even
(b) If x is not even, then x² is not even
(c) If x is even, then x² is even
(d) If x is odd, then x² is even

For given statement;
p: if x² is not even, then x is not even.
i.e. p: x² is not even ⇒ x is not even.
Converse of p; x is not even ⇒ x² is not even.
i.e. if x is not even, then x² is not even.

Hence, the correct answer is option B.