Assertion (A): All even numbers are divisible by two.
Reason (R) : An even number is defined as a number divisible by two.
In the light of the above statements, choose the most appropriate answer from the options given below:
Evaluating Assertion (A): All even numbers are divisible by two.
- An even number is fundamentally defined based on its relationship with the number two.
- By definition, any integer that can be divided by two without leaving a remainder is considered an even number.
- Therefore, the statement "All even numbers are divisible by two" is factually correct based on the established mathematical definition.
Analyzing Reason (R): An even number is defined as a number divisible by two.
- This statement directly provides the standard mathematical definition of an even number.
- This definition is universally accepted in mathematics.
- Hence, Reason (R) is also a correct statement.
Relationship Between Assertion and Reason
- Assertion (A) states a property of even numbers.
- Reason (R) provides the definition that underpins this property.
- The fact that even numbers are defined as being divisible by two (R) is precisely why all even numbers possess this characteristic (A).
- Thus, Reason (R) serves as the direct and correct explanation for Assertion (A).
Conclusion
Both Assertion (A) and Reason (R) are correct statements, and Reason (R) correctly explains Assertion (A).
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- Kalpsutra, the illustrated canonical text is from:-
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- Mohandas Karamchand Gandhi launched quit India movement after the failure of:-
- The "Objectives Resolution" was introduced in constituent assembly by:-
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