My Ideal TEAM INDIA

This is my ideal team for One Day Internationals,
In specific batting order:
1)Gautam Gambhir
2)Sachin Tendulkar
3)Rohit Sharma
4)Yuvraj Singh
5)MS Dhoni
6)Robin Utthappa
7)Irfan Pathan
8)Harbhajan singh
9)Zaheer Khan
10)RP Singh
11)Sreesanth/Piyush Chawla(depending on Pitch)

The Substitutes:
12)Virender Sehwag
13)Rahul Dravid
14)Sreesanth/Piyush Chawla
15)Dinesh Kartik

Comments are welcomed!

Names

Miss Alden, Miss Brent, Miss Clark, Miss Doyle, and Miss Evans have short first and middle names.
[1] Four of them have a first or middle name of Fay, three of them have a first or middle name of Gay, two of them have a first or middle name of Kay, and one of them has a first or middle name of May.
[2] Either Miss Alden and Miss Brent are both named Kay or Miss Clark and Miss Doyle are both named Kay.
[3] Of Miss Brent and Miss Clark, either both are named Gay or neither is Gay.
[4] Miss Doyle and Miss Evans are not both named Fay.
Who is named May?
(Level-Medium)

Poly-diagonios

How many diagonals does a decagon (see right) have? After you have calculated for a decagon, generalize it for any polygon with 'n' vertices. Calculate the number of diagonals of a centagon using the formula which you have derived.

P.S. Those who already know the answer, please don't post it.

Level:Easy

The Conical Funnel

I have a conical funnel similar to the one used in the Chemistry laboratory, but a bit different. I put into it 5 marbles of different sizes. The marbles are such that they touch each other and the wall of the funnel, but the lower-most marble does not fall out. Find the amount of water the middle marble (3rd from top) can hold if it is hollow. Assume its inner radius to be equal to its outer radius. The radii of the uppermost and lowermost marble are 18 mm and 8 mm respectively.

Level: Easy-Medium

Finally, Got a question!

Find the integral solutions of x and y in the following equation:

1/x +1/y =1/12

Level:{Medium}

What's our average salary?

There are 3 colleagues who want to know what their average salary is, but they do not want to disclose to each other their individual salary. How do they go about doing it? In the process of doing it what is the worst that each could learn about the salaries of the other two? Is this method fail-proof? Think about it! Would you be willing to adopt your methodology with your colleagues and find the average salary?

Level: Medium

X and O

The game of Tic-tac-toe is played in a large square divided into nine small squares.
[1] Each of two players in turn places his or her mark -usually X or O-in a small square.

---------- X O __
------X __ __
------O O --X

[2] The player who first gets three marks in a horizontal, vertical, or diagonal line wins.
[3] A player will always place his or her mark in a line that already contains (a) two of his or her own marks or (b) two of his or her opponent's marks- giving (a) priority over (b).
Only the last mark to be placed in the game shown above is not given.
Which mark-X or O- wins the game?
{Level-Medium/Hard}

000000000000000...............

How many trailing 0's does 100! have? Generalize it for any N! after you have computed for 100!

N! = Factorial N = N * N-1 * N-2 * ......2 * 1

Level: {Medium to Hard-lets see}

To Shashwat: Maybe you know the answer as I told you how to solve these kind of questions in class X. If you remember, please don't post the solution.

Relations

Lee, Dale, and Terry are related to each other.
[1] Among the three are Lee's legal spouse, Dale's sibling, and Terry's sister-in-law.
[2] Lee's legal spouse and Dale's sibling are of the same sex.
Who do you know is a married man?
{Level-Medium}

National Puzzle Championship Question Paper

Here is the Question Paper.
Click here(pdf)
The password is LM07GoodLuckBrazilBeckons
My score was 227 out of 1000.
The level was pretty high.(Maybe it was not for us.
However there were 3 categories and so there is some hope.
See yourself.
Time awarded was 2.5 hrs.
Result has been announced!
My result-
Overall AIR-147
Junior 18 category AIR-6

100- gold coins

2. 100 Gold Coins

Five pirates have obtained 100 gold coins and have to divide up the loot. The pirates are all extremely intelligent, treacherous and selfish (especially the captain).

The captain always proposes a distribution of the loot. All pirates vote on the proposal, and if half the crew or more go "Aye", the loot is divided as proposed, as no pirate would be willing to take on the captain without superior force on their side.

If the captain fails to obtain support of at least half his crew (which includes himself), he faces a mutiny, and all pirates will turn against him and make him walk the plank. The pirates start over again with the next senior pirate as captain.

What is the maximum number of coins the captain can keep without risking his life?

Just hope you haven't seen this before.
difficulty ( hmm i 'll let you decide)

World Puzzle Championship

World Puzzle Championship's national selection for team India is going to be held tomorrow-2nd Sep 2007. If you are free, you can also participate to get selected!