Answer all 10 problems:

Problem 1:
A psychologist goes to a village and decides to compare foot size to intelligence. He notes that in general, as foot size increases, so does intelligence. How can this be?

Problem 2:
Sort the following list: [7, 9, 2, 2, 5, 8, 5, 1, 3, 4]

Problem 3:
What is the largest organ in the human body?

Problem 4:
What's the shape of the output tensor to the layer nn.Conv2d(3, 32, 3, 1, 1) if the input is torch.randn(5, 3, 64, 64)?

Problem 5:
A man walks 1 mile south, 1 mile east, and then 1 mile north only to find himself at the origin of his journey. How is this possible?

Problem 6:
A girl has as many brothers as sisters, but each brother has only half as many brothers as sisters. How many brothers and sisters are there in the family?

Problem 7:
Is there an american president that died at age 77?

Problem 8:
Decode the following secret that has been encoded with the Caesar cipher with shift 1: "J epo'u ibwf b ibu sjhiu opx."

Problem 9:
Unscramble this sentence: "table lift fell to while trying the I"

Problem 10:
What's the first number after 170 that's divisible by 6?

Answers below (max one sentence per problem):