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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 contamination level at $\text{P15}$ was recorded as medium, then which of the following MUST be FALSE?

  1. Contamination level at $\text{P14}$ was recorded to be higher than that at $\text{P15}$.
  2. Contamination levels at $\text{P10}$ and $\text{P14}$ were recorded as the same.
  3. Contamination levels at $\text{P13}$ and $\text{P17}$ were recorded as the same.
  4. Contamination levels at $\text{P11}$ and $\text{P16}$ were recorded as the same.
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