What is both possible and impossible at the same time?

In the addition below, all digits have been replaced by letters. Equal letters represent equal digits and different letters represent different digits.
ABCABA
BBDCAA
ABEABB
ABDBAA
------- +
AAFGBDH
What does the complete addition look like in digits?

Why is the longest human nose just 11 inches?

You see me once in June, twice in November, and not at all in May. What am I?

Find The Missing Number In the Sequence.
6 25 64 ? 32 1

Cristina was born in 1888. She just had her 30th birthday today how did that happen?

Solve the equation by replacing the alphabet with numbers.

MOM + MOM + NO = BOOK=

Write the next letter in this sequence.
O, T, T, F, F, S, S, E, __
**Hint: It is a Number Series Puzzle

Can you replace the X (both small and big x) with the numbers between 1 to 19 such that all the rows of 3 numbers between X (big x) sum to 23?

I can be cracked, made, told, and played. What am I?