why number 8549176320 is one of a kind?

Can you place three balls such that the equation shown in the picture holds true?

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

Find the next number in the series

12, 20, 40, 72, 116, 172 ?

Two batsman each on 94 runs. Seven runs needed to win in last 3 balls. Both make 100*. How?

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?

If,

20 % 5 = 24

21 % 7 = 33

42 % 6 = 67

Then;

66 % 6 = ?

Two batsman each on 94 runs. Seven runs needed to win in last 3 balls. Both make 100*. How?

There is a barrel with no lid and some wine in it. 'This barrel of wine is more than half full,' said Curly. 'No it's not,' says Mo. 'It's less than half full.' Without any measuring implements and without removing any wine from the barrel, how can they easily determine who is correct?

One is to three as three is to five and five is to four and four is the magic number.
What is the pattern?