Logic
# Logic Warmups

John tells the truth on Mondays, Thursdays, and Saturdays, but lies on all the other days of the week.

One day he said, “I will tell the truth tomorrow.”

On which day of the week did he make this statement?

There are 3 boxes, exactly one of which has a car. You can keep the car if you pick the correct box!

On each box there is a statement, exactly one of which is true.

Box 1: The car is in this box.

Box 2: The car is not in this box.

Box 3: The car is not in box 1.

Which box has the car?

Assume that you are playing a tic-tac-toe game with an opponent. You play as \(X\) while your opponent plays as \(O\).

The game is played as follows:

Find all the possible grid tiles where you can put an \(X\)-mark that will help you guarantee a win under best play.

Three friends, Mr. Green, Mr. Red and Mr. Blue, were returning from a party. One man wore a green suit, one wore a red suit, and one wore a blue suit.

The man in the blue suit said to the others: "Have you noticed that none of us is wearing a suit color that matches our own name?"

Mr. Red then turned to him and exclaimed "You're absolutely right!"

Assume everyone spoke the truth, what color suit was Mr. Green wearing?

If exactly one of these statements is false, which statement is false?

\(\quad \text{(A)}\) Statement D is true.

\(\quad \text{(B)}\) Statement A is false.

\(\quad \text{(C)}\) Statement B is false.

\(\quad \text{(D)}\) Statement C is true.

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