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The table below presents the revenue (in million rupees) of four firms in three states. These firms, Honest Ltd., Aggressive Ltd., Truthful Ltd. and Profitable Ltd. are disguised in the table as A, B, C and D, in no particular order.

$$\begin{array}{|c|c|c|}\hline \text{States}&\text{Firm A}&\text{Firm B}&\text{Firm C}&\text{Firm D}\\\hline \text{UP}&49&82&80&55\\\hline  \text{Bihar}&69&72&70&65\\\hline \text{MP}&72&63&72&65\\\hline\end{array}$$

Further, it is known that: In the state of MP, Truthful Ltd. has the highest market share. Aggressive Ltd.’s aggregate revenue differs from Honest Ltd.’s by Rs. $5$ million.

What can be said regarding the following two statements?

Statement $1$: Aggressive Ltd.’s lowest revenues are from MP.

Statement $2$: Honest Ltd.’s lowest revenues are from Bihar.

  1. If Statement $2$ is true then Statement $1$ is necessarily false.
  2. If Statement $1$ is false then Statement $2$ is necessarily true.
  3. If Statement $1$ is true then Statement $2$ is necessarily true.
  4. None of the above.
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