Ameya Kolarkar

BU: PRB-363; Office Phone: 617-353-9884 :: Lab Phone: 617-353-6037 :: email: (my last name)@physics.bu.edu

A little bit about me ...

About me is still being written! Until then, please enjoy the following...

Puzzles

PUZZLE # 1 :

There once was a farmer with a large estate. He was old, a widower, and had two daughters. As he was nearing death, he called his lawyer and got all of his estate converted into either 9 or 16 diamonds and told him to give the daughters their share after he died. (Of course, he told the lawyer how many to give to each of them!!).One day, while on his death-bed (he knew he was gonna die!!), he called one of his daughters (lets call her "First") and told her how many diamonds her sister had got! And then called his "Second" daughter and told her how many her sister i.e. "First" had got. Then he dies.

Now each one is curious to know how many she'd received (coz they only know how much the other one has received and that the total number is either 9 or 16). So they meet once and the following conversation ensues :
First : Tell me how many I've got.
Second : No, first you tell me how many I have got.
First : OK, never mind, now I know how many I've got.
Second : Good, now even I know how many I've got.

The question is : How many diamonds were there, and how many did each of them get ??

Joke ...

There was this small kid who was learning arithmetic, and came across this : 5 - 7 + 2 = 0. His dad, while explaining it to him said : "Suppose there are 5 men in a room. If 7 leave the room, then 2 should get in so that nobody is left in the room!"

PUZZLE # 2 :

This spherical ball of radius 10 cm is rotating at 10 rotations/sec. A triple-barreled rifle is at a distance 10 meters from this ball. It fires 3 bullets simultaneously at the ball. What is the probability that all the 3 bullets lie in one hemisphere ??

PUZZLE # 3 :

A and B are given two numbers, n and n+1 (i.e. two consecutive numbers), not respectively, i.e. they do not know whose number is bigger. They however know that they are consecutive. Now, after every minute a beep is sounded and the girls have to say out if they know the other's number. So, who says it out first, and after how many beeps ??

Solutions not up yet, till then keep trying, and all the best :)