Logic

This sequence of problems focuses on two types of information:

  1. Where the things you're positioning are not located, and
  2. 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.

Strategic Deductions

             
  • Gusto is not in the center.
  • Gymmy is not on the left.
  • Buffy is not on the right.

The ordering Gusto-Buffy-Gymmy satisfies all of the conditions above.

Find a different order that also satisfies these conditions.

Strategic Deductions

             

If two words are next to each other, they must share at least one letter and not be the same length.

There are six words below and the word on the far left is "CAT."

Place all the words in a way that satisfies the condition above.

Strategic Deductions

             

Given the facts below, place every person in the correct seat.

  • There is exactly one seat 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.

Strategic Deductions

             

Arrange the tiles so that:

  • all six numbers are in a row,
  • no number is next to two others that are both smaller than it, and
  • 2 is the rightmost number.

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

Strategic Deductions

             

Arrange the tiles so that

  • all six numbers are in a row,
  • no number is next to two others that are both larger than it, and
  • 2 is the leftmost number.

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

Strategic Deductions

             

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 shorter than at least one of the words next to it?

Strategic Deductions

             
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