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# Write the Contrapositive and Converse of the Following Statements. X Is an Even Number Implies That X Is Divisible by 4 - CBSE (Arts) Class 11 - Mathematics

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ConceptImplications Contrapositive and Converse

#### Question

Write the contrapositive and converse of the following statements.

x is an even number implies that x is divisible by 4

#### Solution

The given statement can be written as follows.

If x is an even number, then x is divisible by 4.

The contrapositive is as follows.

If x is not divisible by 4, then x is not an even number.

The converse is as follows.

If x is divisible by 4, then x is an even number.

Is there an error in this question or solution?

#### APPEARS IN

NCERT Solution for Mathematics Textbook for Class 11 (2018 to Current)
Chapter 14: Mathematical Reasoning
Q: 2.5 | Page no. 338

#### Video TutorialsVIEW ALL [1]

Solution Write the Contrapositive and Converse of the Following Statements. X Is an Even Number Implies That X Is Divisible by 4 Concept: Implications - Contrapositive and Converse.
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