Logic
# Logic Warmups

- Jorge runs faster than Drew.
- Drew runs faster than Bernard.
- Jorge runs faster than Bernard.

If the first two statements are true, then the third statement is:

When conducting an inventory of the PE storage room, Coach Carlson found several basketballs, tennis balls, footballs and baseballs in a locker. He found 4, 6, 8 and 10 of them (a different number for each type). He recorded that:

- There are fewer tennis balls than footballs.
- There are 6 more baseballs than basketballs.

How many footballs are there?

Assume that published books are classified as novels, short stories, or story books according to the following classification:

A novel has at least 300 pages.

A short story has at most 100 pages.

A story book has at most 500 pages.

What can we say about a book that has 400 pages?

In front of you are 3 chests:

Chest A has been labelled with "*100 gold coins*,"

Chest B has been labelled with "*50 gold and 50 silver coins*," and

Chest C has been labelled with "*100 silver coins*."

You are told that **all of the labels are incorrectly placed,** as they describe the contents of another one of the chests. To help you determine which is the chest that contains 100 gold coins, you are allowed to pick a random coin (without looking) from a chest of your choice.

Which chest should you pick a coin from?

Note: The picking of a single coin is just a sample to figure out where the 100 gold coins are; the coin you pick does not necessarily need to be from the chest of 100 gold coins.

Aldith, Bogdan and Chedomir are gathered in a medieval tavern. One of them is a knight who always tells the truth, one of them is a knave who always lies, and one of them is a jester who can either tell the truth or lie.

Aldith says, "I am not a knave."

Bogdan says, "I am a knave."

Chedomir says, "I am not a knave."

Who is the jester?

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