why number 8549176320 is one of a kind?

Solve the alphametic puzzle by replacing the alphabet with the number.

S T O R M +
S O L E S
=========
T O W E L
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At a party, there are five people and a whole round cake lying at the centre of the table. Only four people will make a cut and take their piece and the last one will get the remaining piece on the table. How can they make sure that everyone gets a 1/5th of the piece?

In The 1st month of this year(the year 2013), I noticed that the date 13-1-13 (13 January 2013) is special.

This date is special as:

Date * Month = Year.

Can you figure out which year of this century has a maximum number of such dates?

You have two buckets of 11 liters and 6 litres.
How can you measure exactly 8 litres?

You can take four of the five letters out of this word, but the pronunciation never changes. What is the word?

You have a three-gallon and a five-gallon measuring device. You wish to measure out four gallons.

Look at the below sequence of letters and tell us what the next letter should be:

O T T F F S S ?

Find three numbers such that

* When we multiply three numbers, we will get the prime numbers.
* The difference between the second and the first number is equal to the third and second.

Solve the equation by replacing the alphabet with numbers.

MOM + MOM + NO = BOOK=