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A number is divisible by 6. By what other numbers will that number be divisible
- a)3 and 4
- b)2 and 5
- c)2 and 3
- d)None of these
Correct answer is option 'C'. Can you explain this answer?
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Most Upvoted Answer
A number is divisible by 6. By what other numbers will that number be ...
Solution:
To understand the solution, we need to know the divisibility rules of 6.
Divisibility Rule of 6: A number is divisible by 6 if it is divisible by both 2 and 3.
Now, let us consider each option one by one.
a) 3 and 4: If a number is divisible by 3 and 4, it doesn't mean that it is divisible by 6. For example, the number 12 is divisible by 3 and 4, but it is also divisible by 6. However, the number 8 is divisible by 4 but not by 6. Hence, option a) is incorrect.
b) 2 and 5: If a number is divisible by 2 and 5, it doesn't mean that it is divisible by 6. For example, the number 10 is divisible by 2 and 5, but it is not divisible by 6. Hence, option b) is incorrect.
c) 2 and 3: According to the divisibility rule of 6, if a number is divisible by 2 and 3, it is also divisible by 6. Hence, option c) is correct.
d) None of these: Since option c) is correct, option d) is incorrect.
Therefore, the correct option is c) 2 and 3.
To understand the solution, we need to know the divisibility rules of 6.
Divisibility Rule of 6: A number is divisible by 6 if it is divisible by both 2 and 3.
Now, let us consider each option one by one.
a) 3 and 4: If a number is divisible by 3 and 4, it doesn't mean that it is divisible by 6. For example, the number 12 is divisible by 3 and 4, but it is also divisible by 6. However, the number 8 is divisible by 4 but not by 6. Hence, option a) is incorrect.
b) 2 and 5: If a number is divisible by 2 and 5, it doesn't mean that it is divisible by 6. For example, the number 10 is divisible by 2 and 5, but it is not divisible by 6. Hence, option b) is incorrect.
c) 2 and 3: According to the divisibility rule of 6, if a number is divisible by 2 and 3, it is also divisible by 6. Hence, option c) is correct.
d) None of these: Since option c) is correct, option d) is incorrect.
Therefore, the correct option is c) 2 and 3.
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Community Answer
A number is divisible by 6. By what other numbers will that number be ...
To determine the numbers by which a number divisible by 6 will also be divisible, consider the factors of 6:
- Factors of 6 are 2 and 3.
- Therefore, if a number is divisible by 6, it will also be divisible by 2 and 3.
- The correct answer is C: 2 and 3.
- Factors of 6 are 2 and 3.
- Therefore, if a number is divisible by 6, it will also be divisible by 2 and 3.
- The correct answer is C: 2 and 3.
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A number is divisible by 6. By what other numbers will that number be divisiblea)3 and 4b)2 and 5c)2 and 3d)None of theseCorrect answer is option 'C'. Can you explain this answer?
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