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A number is divisible by 24 if ___________
- a)It is divisible by 6 and 4 both
- b)It is divisible by 8 and 3 both
- c)It is divisible by 12 and 2 both
- d)All of these
Correct answer is option 'B'. Can you explain this answer?
Verified Answer
A number is divisible by 24 if ___________a)It is divisible by 6 and 4...
It is divisible by 8 & 3 because 8 and 3are co-prime
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A number is divisible by 24 if ___________a)It is divisible by 6 and 4...
To determine if a number is divisible by 24, we need to check if it satisfies the conditions mentioned in the options.
a) It is divisible by 6 and 4 both.
- 24 is divisible by 6 and 4, but not all numbers divisible by 6 and 4 are divisible by 24. For example, 12 is divisible by 6 and 4 but not by 24. Therefore, option a) is incorrect.
b) It is divisible by 8 and 3 both.
- This condition alone is not enough to determine if a number is divisible by 24. For example, 9 is divisible by 3 but not by 24. Therefore, option b) is incorrect.
c) It is divisible by 12 and 2 both.
- This condition alone is not enough to determine if a number is divisible by 24. For example, 6 is divisible by 2 but not by 24. Therefore, option c) is incorrect.
d) All of these.
- This option combines the conditions mentioned in the previous options. If a number is divisible by 6 and 4, it must be divisible by 24 as well. Similarly, if a number is divisible by 8 and 3, it must also be divisible by 24. Therefore, all the conditions mentioned in options a), b), and c) are satisfied by option d). Hence, option d) is correct.
In conclusion, a number is divisible by 24 if it is divisible by 6 and 4 both, or if it is divisible by 8 and 3 both, or if it is divisible by 12 and 2 both. Therefore, the correct answer is option d) - All of these.
a) It is divisible by 6 and 4 both.
- 24 is divisible by 6 and 4, but not all numbers divisible by 6 and 4 are divisible by 24. For example, 12 is divisible by 6 and 4 but not by 24. Therefore, option a) is incorrect.
b) It is divisible by 8 and 3 both.
- This condition alone is not enough to determine if a number is divisible by 24. For example, 9 is divisible by 3 but not by 24. Therefore, option b) is incorrect.
c) It is divisible by 12 and 2 both.
- This condition alone is not enough to determine if a number is divisible by 24. For example, 6 is divisible by 2 but not by 24. Therefore, option c) is incorrect.
d) All of these.
- This option combines the conditions mentioned in the previous options. If a number is divisible by 6 and 4, it must be divisible by 24 as well. Similarly, if a number is divisible by 8 and 3, it must also be divisible by 24. Therefore, all the conditions mentioned in options a), b), and c) are satisfied by option d). Hence, option d) is correct.
In conclusion, a number is divisible by 24 if it is divisible by 6 and 4 both, or if it is divisible by 8 and 3 both, or if it is divisible by 12 and 2 both. Therefore, the correct answer is option d) - All of these.
Community Answer
A number is divisible by 24 if ___________a)It is divisible by 6 and 4...
All of these
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A number is divisible by 24 if ___________a)It is divisible by 6 and 4 bothb)It is divisible by 8 and 3 bothc)It is divisible by 12 and 2 bothd)All of theseCorrect answer is option 'B'. Can you explain this answer?
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