Why 1729 is a magic number? Answer Logically.

My location can be determined by the below rebus.
So where am i ?

Replace the letters of words with a number so that the below equation holds true

BASE +
BALL
---------
GAMES
----------

Which three-digit number, made of consecutive digits, like 567, is 2 less than a cube and 2 more than a square?

What does below Rebus mean ?

esgg sgeg gegs gsge

Make a sentence consisting of three words that have the whole alphabet.

What do you answer even though it never asks you questions?

Which word is least like the others? Third, fourth, fifth, sixth, seventh, eighth, ninth?

The sum of a mother, her baby and her dog's weight is 170 Kg. How much does the baby weigh if the mother weighs 100 kg more than the combined weight of the baby and the dog, and the dog weighs 60 per cent less than the baby?

I can turn polar bears white.
I can make anyone dance.
I can make everyone cry
I can make your hands clap
I can make you thin.
I can make you smile.
I can make you smile

Can you guess the riddle?