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A number is divisible by 6 if:
- a)It is divisible by 2 only
- b)It is divisible by 3 only
- c)It is divisible by both 2 and 3
- d)Its last digit is 6
Correct answer is option 'C'. Can you explain this answer?
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A number is divisible by 6 if:a)It is divisible by 2 onlyb)It is divis...
Understanding Divisibility by 6
To determine if a number is divisible by 6, we need to consider the properties of the numbers involved.
Divisibility Rules
- A number is divisible by 2 if its last digit is even (0, 2, 4, 6, or 8).
- A number is divisible by 3 if the sum of its digits is divisible by 3.
Combining the Rules
For a number to be divisible by 6, it must satisfy both conditions:
- Divisible by 2: The number must end with an even digit.
- Divisible by 3: The sum of its digits must be divisible by 3.
Why Option C is Correct
- Option A (Divisible by 2 only): This is incorrect because a number can be even but not divisible by 3.
- Option B (Divisible by 3 only): This is also incorrect since a number can be divisible by 3 but not even.
- Option C (Both 2 and 3): This is correct, as a number needs to meet both criteria to be divisible by 6.
- Option D (Last digit is 6): This is misleading; while 6 is even, not all numbers ending in 6 are divisible by 3.
Conclusion
Thus, a number is divisible by 6 if it is divisible by both 2 and 3, which confirms that option C is indeed the correct answer.
To determine if a number is divisible by 6, we need to consider the properties of the numbers involved.
Divisibility Rules
- A number is divisible by 2 if its last digit is even (0, 2, 4, 6, or 8).
- A number is divisible by 3 if the sum of its digits is divisible by 3.
Combining the Rules
For a number to be divisible by 6, it must satisfy both conditions:
- Divisible by 2: The number must end with an even digit.
- Divisible by 3: The sum of its digits must be divisible by 3.
Why Option C is Correct
- Option A (Divisible by 2 only): This is incorrect because a number can be even but not divisible by 3.
- Option B (Divisible by 3 only): This is also incorrect since a number can be divisible by 3 but not even.
- Option C (Both 2 and 3): This is correct, as a number needs to meet both criteria to be divisible by 6.
- Option D (Last digit is 6): This is misleading; while 6 is even, not all numbers ending in 6 are divisible by 3.
Conclusion
Thus, a number is divisible by 6 if it is divisible by both 2 and 3, which confirms that option C is indeed the correct answer.
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Community Answer
A number is divisible by 6 if:a)It is divisible by 2 onlyb)It is divis...
Rule: Divisible by 6 ⇔ divisible by 2 and 3.
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A number is divisible by 6 if:a)It is divisible by 2 onlyb)It is divisible by 3 onlyc)It is divisible by both 2 and 3d)Its last digit is 6Correct answer is option 'C'. Can you explain this answer? for Class 8 2026 is part of Class 8 preparation. The Question and answers have been prepared according to the Class 8 exam syllabus. Information about A number is divisible by 6 if:a)It is divisible by 2 onlyb)It is divisible by 3 onlyc)It is divisible by both 2 and 3d)Its last digit is 6Correct answer is option 'C'. Can you explain this answer? covers all topics & solutions for Class 8 2026 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for A number is divisible by 6 if:a)It is divisible by 2 onlyb)It is divisible by 3 onlyc)It is divisible by both 2 and 3d)Its last digit is 6Correct answer is option 'C'. Can you explain this answer?.
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