2026 · Q28
Consider the following statements:
- ITwo consecutive natural numbers are always co-prime.
- IIIf m and n are relatively prime, then m x n is always even.
Which of the statements given above is/are correct?
Elementary MathematicsNumber System
- AI only
- BII only
- CBoth I and II
- DNeither I nor II
Explanation
Statement I is true: consecutive integers cannot share any prime factor, so they are always coprime. Statement II is false: 3 and 5 are relatively prime yet 3×5=15 is odd. Only I is correct, option A.