Let $a$, $b$, $c$, and $d$ be integers such that $a = 6b$, $a = 12c$, and $2b = 9d = 12e$. Then which of the following pairs contains a number that is not an integer?
Show Hint
When working with ratios of integers, carefully examine each term to determine if it can simplify to an integer.
From the given relations, we can deduce that:
- $a = 6b$
- $a = 12c$
- $2b = 9d = 12e$
Checking each option, we find that $\frac{a}{27}$ and $\frac{b}{e}$ contain non-integer values, making option (1) the Correct Answer.