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Fuel contamination levels at each of $20$ petrol pumps $\text{P1, P2}, \dots , \text{P20}$ were recorded as either high, medium, or low.

  1. Contamination levels at three pumps among $\text{P1 – P5}$ were recorded as high.
  2. $\text{P6}$ was the only pump among $\text{P1 – P10}$ where the contamination level was recorded as low.
  3. $\text{P7}$ and $\text{P8}$ were the only two consecutively numbered pumps where the same levels of contamination were recorded.
  4. High contamination levels were not recorded at any of the pumps $\text{P16 – P20}$.
  5. The number of pumps where high contamination levels were recorded was twice the number of pumps where low contamination levels were recorded.

If the contamination level at $\text{P11}$ was recorded as low, then which of the following MUST be true?

  1. The contamination level at $\text{P12}$ was recorded as high.
  2. The contamination level at $\text{P14}$ was recorded as medium.
  3. The contamination level at $\text{P15}$ was recorded as medium.
  4. The contamination level at $\text{P18}$ was recorded as low.
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