Find a Counterexample to show that the conjecture is false.
Conjecture: Any number that is divisible by 6 is also divisible by 12.
A. 36
B. 30
C. 48
D. 60
Im thinking that the answer is B. 30, but i was just making sure.
Right
To verify whether B. 30 is a counterexample to the conjecture, we need to check if 30 is divisible by 6 but not by 12.
First, we need to determine if 30 is divisible by 6. We do this by checking if 30 divided by 6 gives us a whole number without any remainder.
30 ÷ 6 = 5
Since 30 divided by 6 equals 5, which is a whole number, we can conclude that 30 is divisible by 6.
Now, we need to check if 30 is divisible by 12. Again, we divide 30 by 12 and see if we get a whole number without any remainder.
30 ÷ 12 = 2.5
Since 30 divided by 12 equals 2.5, which is not a whole number but has a remainder of 0.5, we can conclude that 30 is not divisible by 12.
Therefore, B. 30 is a valid counterexample to the conjecture that any number divisible by 6 is also divisible by 12.