Solution:

What.

It is clearly mentioned that "What is the name of the fourth son". Note it's a statement with a period(.) and not with a question mark(?).

Most of the people has given the answer as "East" or "Someone".

Solution:

The two numbers are 4 and 13 whose product is 52 and sum is 17.

Solution:

2003.

Explanation:
Its a series of prime numbes.

Solution:

f the last elf is taking some time to answer the question then it shall mean that the elf's before him are all wearing distinct coloured hats. However sufficient time shall be given to the last elf to give the answer.
If he views the similar coloured hats in front of him , he shall quickly tell the answer

Solution:

3/7

Explanation:
If a 31day month starts on a Friday, Saturday or Sunday it will have five Sunday, if not it will have 4 Sunday.

Solution:

Six.

There are only five colors, so six socks guarantee that two will be the same color.

Solution:

Pages 19, 20, 23, 37, 38, & 42 will also be missing

Solution:

step 3 is wrong

Solution:

Since the door is not visible in this picture, the bus is moving in the left direction.

Solution:

Just 2

Day One: You make your first cut at the 1/7th mark and give that to the worker.
Day Two: You cut 2/7ths and pay that to the worker and receive the original 1/7th in change.
Day three: You give the worker the 1/7th you received as change on the previous day.
Day four: You give the worker 4/7ths and he returns his 1/7th cut and his 2/7th cut as change.
Day Five: You give the worker back the 1/7th cut of gold.
Day Six: You give the worker the 2/7th cut and receive the 1/7th cut back in change.
Day Seven: You pay the worker his final 1/7th.

Solution:

What is the correct time ?