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The contrapos...

Question

The contrapositive of statement "Something is cold implies that it has low temperature" is

If something does not have low temperature, then it is not cold.

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If something does not have low temperature then it is cold.

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Something is not cold implies that it has low temperature.

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If something have low temperature, then it is not cold.

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Solution

The correct option is A If something does not have low temperature, then it is not cold.
The contrapositive of statement "Something is cold implies that it has low temperature" is
If something does not have low temperature, then it is not cold.

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Write the contrapositive and converse of the following statements.

(i) If x is a prime number, then x is odd.

(ii) It the two lines are parallel, then they do not intersect in the same plane.

(iii) Something is cold implies that it has low temperature.

(iv) You cannot comprehend geometry if you do not know how to reason deductively.

(v) x is an even number implies that x is divisible by 4

Write the converse and contrapositive of each of the following statements:

(i) If n is an even number, then $n^{2}$ is even.

(ii) If two integers a and b are such that $a > b,$ then $(a - b)$ is always a positive integer.

(iii) If a $Δ A B C$ is right angled at B, then $A B^{2} + B C^{2} = A C^{2} .$

(iv) If $Δ A B C$ and $Δ D E F$ are congruent, then they are equiangular.

(v) You cannot comprehend geometry if you do not know how to reason deductively.

(vi) Something is cold implies that it has low temperature.

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