Why 1729 is a magic number? Answer Logically.

I know a nine-letter word having only one vowel.
Do you ?

Take away my first letter, then take away my second letter. Then take away the rest of my letters, yet I remain the same. What am I?

We have arranged an array of numbers below. What you have to do is use any kind of mathematical symbol you know excluding any symbol that contains a number like cube root. You can use any amount of symbols but you have to come up with a valid equation for all of them.

0 0 0 = 6
1 1 1 = 6
2 + 2 + 2 = 6
3 3 3 = 6
4 4 4 = 6
5 5 5 = 6
6 6 6 = 6
7 7 7 = 6
8 8 8 = 6
9 9 9 = 6

What is Luis Suarez's (Soccer Player) favorite tea?

Can you find the 09 errors in the picture below?

Can you find a seven digit number which describes itself. The first digit is the number of zeros in the number. The second digit is the number of ones in the number, etc. For example, in the number 21200, there are 2 zeros, 1 one, 2 twos, 0 threes and 0 fours.

Why despite killing dozens of people Charley and Wilma were not punished?

What is the largest amount of money that you can possess in change and still if someone asks you for a dollar, you won't be able to give?

The following four words might seem abrupt to you. But you can make them meaningful by just adding vowels.
RDSH
GGPLNT
TMT
NN

Hint: All of them are vegetables.