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Let $a, b, c, d$ and $e$ be integers such that $a = 6b = 12c,$ and $2b = 9d = 12e.$ Then which of the following pairs contains a number that is not an integer?

- $\left[ \frac{a}{27}, \frac{b}{e} \right] $
- $\left[ \frac{a}{36}, \frac{c}{e} \right] $
- $\left[ \frac{a}{12}, \frac{bd}{18} \right] $
- $\left[ \frac{a}{6}, \frac{c}{d} \right] $

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