This sequence of problems focuses on two types of information:

- information about where the things you're positioning are
**not**located, and - information about the
**relative differences**between unknowns (as opposed to information about specific positions or values).

To solve these problems, you'll need to carefully and strategically pick out what pieces of information are the best starting points for organizing your thinking. This is a critical skill to practice if you want to improve at math and logic.

- Gusto is
notin the center.- Gymmy is
noton the left.- Buffy is
noton the right.

The ordering Gusto-Buffy-Gymmy satisfies all of the conditions above. **Is there a second, different ordering that also satisfies these conditions?**

If two words are next to each other, they must share at least one letter and

notbe the same length.

**Given the 6 words below, if the word on the far left is "CAT," which word must be on the far right?**

**Given the facts below, who is sitting in seat 3?**

- There is
exactly oneseat between Ozzie and Quinn.- There are either 2 or 3 seats between Patrick and Niki.
- Neither Niki nor Quinn is next to the one empty seat.

Arrange the tiles so that

- all six numbers are in a row,
- no number is next to two others that are
both smallerthan it, and- 2 is the
rightmostnumber.

If an arrangement satisfies all three constraints, what number(s) might be in the **leftmost** position?

Arrange the tiles so that

- all six numbers are in a row,
- no number is next to two others that are
both largerthan it, and- 2 is the
leftmostnumber.

If an arrangement satisfies all three constraints, what number(s) might be in the **rightmost** position?

Is it possible to arrange the words below such that

- two words are only next to each other if they have at least one letter in common and
- every word except "INFINITY" is
shorterthan at least one of the words next to it?