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Logic Warmups

Logic Warmups: Level 1 Challenges


John, Aries, and Joseph are brothers with different ages. Who is the youngest if the following statements are true?

I. Aries is the oldest.
II. Joseph is not the oldest.
III. John is not the youngest.

In the above image, a cube is painted so that each side is a different number. If each of the colors 1, 2, 3, 4, 5, and 6 are to be used, then what side is opposite the side colored 2?

  1. There is only 1 false statement in this list.
  2. There are only 2 false statements in this list.
  3. There are only 3 false statements in this list.

Exactly how many false statements are there in the list above?

You're playing tic tac toe with an opponent who is \(X\) while you are \(O\).

The initial gameplay is as shown below:

Assuming that your opponent will play optimally from now on, where must you place your next mark in order to obtain a winning position?

The figure shows 3 glasses filled with water and 3 empty glasses (top of figure).

With just your hands, what is the minimum number of glasses you have to pick up in order to make the bottom arrangement?

Note: No sliding of glasses is allowed. You can pour the water from one glass to another.


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