The Four-Investor Share Matrix

Directions: Read the information given below and answer the questions that follow.

Four investors – P, Q, R and S – invested in the shares of four different companies: Tata Motors (TM), Reliance (RIL), ITC and Infosys (INF). The partially filled table below shows the number of shares (in hundreds) bought by each investor. For example, the $2$ in the ITC column for investor P means P bought $200$ shares of ITC.

1. Every investor bought at least $100$ shares (i.e., a value of at least $1$ in the table) of each of the four companies. All hidden values in the table are whole numbers.
2. The number of INF shares bought by P, Q, R and S, in that exact order, formed an increasing arithmetic progression.
3. R bought an equal number of shares in TM, RIL and ITC.
4. S bought twice as many shares of TM as P did.
5. Q bought an equal number of shares of RIL and ITC.
6. P bought strictly more shares of INF than of TM.