Solveeit Logo

Question

Verbal Reasoning Question on Statements and Inferences

Given below are two statements:
Statement I: Let a and b be integers, not both zero and let d be their greatest common divisor, then there are integers r and s such that d= ra+sb Statement II: A pair, a,b of integers is relatively prime if and only if there are integers r and s such that ra+sb= 1
In the light of the above statements, choose the correct answer from the options given below

A

Both Statement I and Statement II are true

B

Both Statement I and Statement II are false

C

Statement I is true but Statement II is false

D

Statement I is false but Statement II is true

Answer

Both Statement I and Statement II are true

Explanation

Solution

The correct option is(A): Both Statement I and Statement II are true