Question:
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
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
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
Updated On: Mar 16, 2024
- Both Statement I and Statement II are true
- Both Statement I and Statement II are false
- Statement I is true but Statement II is false
- Statement I is false but Statement II is true
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The Correct Option is A
Solution and Explanation
The correct option is(A): Both Statement I and Statement II are true
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