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Question
Assertion (A): HCF of any two consecutive even natural numbers is always 2.
Reason (R): Even natural numbers are divisible by 2.
Options
Both assertion (A) and reason (R) are true and reason (R) is the correct explanation of assertion (A).
Both assertion (A) and reason (R) are true and reason (R) is not the correct explanation of assertion (A).
Assertion (A) is true but reason (R) is false.
Assertion (A) is false but reason (R) is true.
Solution
Both assertion (A) and reason (R) are true and reason (R) is not the correct explanation of assertion (A).
Explanation:
The assertion is that the highest common factor (HCF) of any two consecutive even natural numbers is 2. The reason is that even natural numbers are divisible by two. The reason is correct. All even numbers are divisible by two. Consider the consecutive even numbers 4 and 6. Their HCF is 2 and not 4.
