which number is a counterexample for the conditional below? if a number is divisible by 6, then it is…

which number is a counterexample for the conditional below? if a number is divisible by 6, then it is divisible by 18. a. 18 b. 36 c. 24 d. 54

Answer

$18\div6 = 3$ and $18\div18=1$, so 18 is divisible by both 6 and 18.

$36\div6 = 6$ and $36\div18 = 2$, so 36 is divisible by both 6 and 18.

$24\div6=4$, but $24\div18=\frac{4}{3}$, so 24 is divisible by 6 but not by 18.

$54\div6 = 9$ and $54\div18=3$, so 54 is divisible by both 6 and 18.

C. 24