Home
Class 11
MATHS
Write the contrapositive and converse of...

Write the contrapositive and converse of the following statements.
x is an even number implies that x is divisible by 4.

Text Solution

Verified by Experts

The correct Answer is:
This statement can be written as ''If x is an even number, then x is divisible by 4''.
The contrapositive is, If x is not divisible by 4, then x is not an even number.
The converse is, If x is divisible by 4, then x is an even number.
Promotional Banner

Topper's Solved these Questions

  • MATHEMATICAL REASONING

    NCERT TELUGU|Exercise EXERCISE 14.5|10 Videos

  • MATHEMATICAL REASONING

    NCERT TELUGU|Exercise Miscellaneous Exercise on Chapter 14|16 Videos

  • MATHEMATICAL REASONING

    NCERT TELUGU|Exercise EXERCISE 14.3|11 Videos

  • LINEAR INEQUALITIES

    NCERT TELUGU|Exercise EXERCISE (Miscellaneous Exercise on Chapter 6)|4 Videos

  • PERMUTATIONS AND COMBINATIONS

    NCERT TELUGU|Exercise Miscellaneous Exercise on Chapter 7|11 Videos

Similar Questions

Explore conceptually related problems

Write the contrapositive and converse of the following statements. If x is a prime number, then x is odd.

Write the contrapositive and converse of the following statements. Something is cold implies that it has low temperature.

Write the contrapositive and converse of the following statements. If the two lines are parallel, then they do not intersect in the same plane.

Write the contrapositive and converse of the following statements. You cannot comprehend geometry if you do not know how to reason deductively.

Write the contrapositive of the following statement: (i) If a number is not divisible by 3, it is not divisible by 9. (ii) If you are not a citizen of India, then you were not born in India. (iii) If a triangle is not isosceles, then it is not equilateral.

Write the coefficient of x^(3) in each of the following 4

Is every even number of palindrome is divisible by '11'?

Write equation for the following statements: The sum of number x and 4 is 9.

Write the negation of the following statements: s: There exists a number x such that 0 < x < 1.