<s>[INST] This problem involves using a combination of mathematical formulas and logical thinking to solve a mystery. Analyze the given information carefully, and use the formulas to arrive at the solution.
The problem is as follows:

Linda, Mike, and Tom are three friends who live in a high-rise apartment building that consists of 10 floors. Each of them lives on a different floor. The clues given are:

1. If Mike lives on an even-numbered floor, then Linda lives on the 7th floor.
2. If Linda lives on an odd-numbered floor, then Tom lives on the 9th floor.
3. If Tom lives on an odd-numbered floor, then Mike lives on the 5th floor.

The problem is: which floor does Linda live on?[/INST]