Write down the converse of each of the following statements:

Question

i. If p is a prime number and a and b are any two natural numbers and if p divides a or b, then p divides ab.

ii. In a triangle $\triangle ABC$ , if $AB^2 + AC^2 = BC^2$ , then $\angle BAC = 90^{\circ}$ .

20 Jan 2026

Answer :

Word Count : 136

The converse of a conditional statement is obtained by interchanging the hypothesis and the conclusion. For statement (i), the given statement says that if p is a _____ ___ ____ __________ __________.
______ _____ ___ ____ ___ ________ _______ ___ ___ ______ _________ ____.
_________ ______ ________ ________ _________ _________ _______ ____ __________ __________.
__________ ____ ______ ___ ________ ________ ________ ___ __________ _______ _______.
________ ______ ____ _____ _______.
__________ _____ _______ ______ _________ ______ ___ __________ ___ _________.
_________ __________ ________ ____ _____ _________ _________ ____ _______ __________ __________ ________.
_____ ___ ________ __________ ____ _______ ___ __________ _______ ____.
______ _____ ______ _____ ___ ____ __________ ________ ______ _________ ______ ___.
_______ ______ __________ _______ _____ _____ _____ __________ ________ ________ _____.
____ _________ ________ ______ _______ ___ ___ ____ __________ _________ ______.
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