What does the following represent?

N N N N N N N

A A A A A A A

C C C C C C C

Using Only Five 5's and any mathematical operator make sum as 37

No one wants to have it, but if one got it, he does not want to lose it. What is It?

An apple seller is hosting a competition. He offers 1000 apples and 10 boxes to the people who pass by. The challenge is to put those 1000 apples in the 10 boxes in such a manner that if he asks for any amount of apples, the person can directly give him the boxes or a combination of boxes. If the person can do it, he promises to give a thousand apples for free.

If you happen to pass by the apple seller, will you be able to win a thousand apples?

What goes up but never comes down?

Three brothers Jacob, John, and James live in Mexico City. The product of the ages of these brothers is 175. Jacob and John are twins. How old is James?

How can you take 2 from 5 and leave 4?

Find a 9-digit number, which you will gradually round off starting with units, then tenth, hundred etc., until you get to the last numeral, which you do not round off. The rounding alternates (up, down, up ...). After rounding off 8 times, the final number is 500000000. The original number is commensurable by 6 and 7, all the numbers from 1 to 9 are used, and after rounding four times the sum of the not-rounded numerals equals 24.

It is always ahead of me yet I can never see it. What is it?

What number does the below three word/phrase identify and why?
1. Deck
2. Year
3. Singing in the Rain