ArcaMax

What is the next in this pattern:

104, 105, 106, 107, 108, 109, 110, 111, 112, 89, 47, 13, 18, 33, 85, 79, 4, 5, ?

While on your interplanetary vacation, you decide to stop at the planet Quocorri, a planet known for its many mathematical achievements.

While there, you decide to pick up on some of the Quocorrians mathematical variations. The Quocorrians won't tell you exactly how it works, only that it has some relationship to the Standard English math. They also give you four, true, Quocorrian math problems. They are:

2+2=9
4*1=1
5-2=16
-3+2=64

So, according to this system, what is 6/2?

Consider the following,

Mine = 456
His = 768
Hers = 523
Yours = 908

Now what phrase can you get from the rebus below?

4 7 5 8
5 6 2 0
6 8 3 9

What are the last three letters in this series?

S, L, S, A, P, A, L, B, L, H, M, R, T, M, M, M, M, L, S, ?, ?, ?

What are the next three numbers in this series?

1, 3, 6, 55, 66, 171, 595, 666, 3003, 5995, ?, ?, ?

A palindrome is a word that reads the same when spelled backwards (eg rotavator). How could the following word be considered a palindrome?

Footstool

The scores were completely tied in the last few seconds of a football game, and a player was lining up the goal in his mind. He pictured himself scoring and the crowd cheering as he won the game. He kicked the ball, and it just dropped under the crossbar, yet his team still cheered, as they had won the game. How?

Smarty was born and grew up in Massachusetts, but he never traveled east of the Mississippi River. How is this possible?

The Netherlands normally dominate in speed skating in the Winter Olympics, yet in 1944, they didn't win a single medal. Who did?

Using a combination or letters and/or numbers to sound out the answers, can you solve the clues? (The first one is free)

1. Not difficult - EZ (Easy)
2. Unoccupied
3. To do better than others
4. Defeated
5. A number (use only letters for this one)
6. A sport
7. Freezing

The following three equations represent words that have a common relationship. The first letter of each word is given. Where will you find the following equations to be true?

Q = 1, B = 2, P = 8

If all 1-digit numbers are arranged in alphabetical order, they are eight, five, four, nine, one, seven, six, three, two. Here, eight comes first, and two comes last.

If all 3-digit numbers are arranged in alphabetical order, which number comes first, and which number comes last?

What are the answers to all these clues and what do those answers have in common?

1. An amber tinted paste used on a wienerwurst.
2. A purple fruit
3. Besides the number of days, the months of May and August have this in common.
4. A finely feathered and polychromatic avian friend.
5. A 7 letter word for a pigment like crimson.
6. A bleached and neutral hue.

Below are six statements which, if reworded, are actually the titles of six popular holiday songs. Can you decipher them? (For extra points, try the bonus!)

1. Sir Lancelot with laryngitis.
2. Frozen precipitation commences.
3. Oh, member of the round table with missing areas.
4. I envisioned a trio of marine vessels.
5. Do you perceive the same longitudinal pressure that stimulates my auditory sense organs?
6. Leave and do a broadcast on an elevated peak.

Bonus: The apartment of 2 psychiatrists.