Question 13 of 19intermediate💡 UnderstandShort Answer2 marks
If a number is divisible by both 6 and 4, it must be divisible by 24.
Correct Answer
Sometimes true. A number divisible by both 6 and 4 must be divisible by LCM(6, 4) = 12, but not necessarily by 24.
Exercise: Always, Sometimes, or Never | Q: 7 | (Page Page 10)
For More Understanding
Explanation
The LCM of 6 and 4 is 12, not 24. A number divisible by both 6 and 4 must be divisible by 12. For example, 12 is divisible by both 6 and 4, but 12 is not divisible by 24. However, 24 is divisible by both 6 and 4, and it is divisible by 24. So the statement is sometimes true. The number must be divisible by 12, and may or may not be divisible by 24.