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#43451 Re: Jai Ganesh's Puzzles » Problems and Solutions » 2005-10-28 17:38:11

Problem # k + 42

On a deserted island live five people and a monkey. One day everybody gathers coconuts and puts them together in a community pile, to be divided the next day. During the night one person decides to take his share himself. He divides the coconuts into five equal piles, with one coconut left over. He gives the extra coconut to the monkey, hides his pile, and puts the other four piles back into a single pile. The other four islanders then do the same thing, one at a time, each giving one coconut to the monkey to make the piles divide equally. What is the smallest possible number of coconuts in the original pile?

#43452 Re: Guestbook » boo hoo » 2005-10-28 16:01:48

You are wrong, Tiger. I like you. smile

#43453 Re: Help Me ! » Perpendicular Vectors and Scalars » 2005-10-27 21:32:13

ganesh wrote:

Senor, correct me if I am wrong.

mathsyperson wrote:

(And it is senior.)

That was intentional.

Abbr. Sr.
Used as a courtesy title before the surname, full name, or professional title of a man in a Spanish-speaking area.
Used as a form of polite address for a man in a Spanish-speaking area.
(Spanish)

#43454 Re: Help Me ! » Intersecting Planes » 2005-10-27 19:35:59

This page may be of some help.
This example may also be referred, if necessary.

#43455 Re: Jai Ganesh's Puzzles » Problems and Solutions » 2005-10-27 16:48:06

Problem # k + 41

Prove that the number 512³ + 675³ + 720³ is not prime.

#43456 Re: Help Me ! » Steradian » 2005-10-27 15:54:04

A unit of measure equal to the solid angle subtended at the center of a sphere by an area on the surface of the sphere that is equal to the radius squared: The total solid angle of a sphere is 4π (4 pi)steradians.

The unit of solid angle adopted under the System International d'Unites.

#43458 Re: Help Me ! » Perpendicular Vectors and Scalars » 2005-10-27 15:33:39

I apologize. I am not supposed to comment on Mathsyperson's and Insomnia's replies and believe me, we are polite and have a strict code of conduct in this forum and no deviation is tolerated.
Insomnia, the new moderator : Please note.
Mathsyperson, my senior in this forum : Senor, correct me if I am wrong.

#43459 Re: Jokes » Clean Jokes » 2005-10-26 21:41:31

Why do we press harder on a remote control when we know the batteries are getting weak?


Why do banks charge a fee on "insufficient funds" when they know there is not enough?


Why does someone believe you when you say there are four billion stars, but check when you say the paint is wet?


Why doesn't glue stick to the bottle?


Why do they use sterilized needles for death by lethal injection?


Why doesn't Tarzan have a beard?


Why does Superman stop bullets with his chest, but ducks when you throw a revolver at him?

Whose idea was it to put an "S" in the word "lisp"?


If people evolved from apes, why are there still apes?


Why is it that no matter what color bubble bath you use the bubbles are always white?

The statistics on sanity are that one out of every four persons is suffering from some sort of mental illness. Think of your three best friends, if they are okay, then...

#43460 Re: Jai Ganesh's Puzzles » Problems and Solutions » 2005-10-26 20:38:05

Problem # k + 40

How many are we?
You tell us the answer, knowing that the probability that at least two of us have birthdays on the same day is less than half, but that this would not be the case were we one more in number.

#43461 Re: Introductions » good day » 2005-10-25 16:28:37

I am Ganesh, from Chennai, India, one of the Moderators.

#43462 Re: Jai Ganesh's Puzzles » Problems and Solutions » 2005-10-25 16:22:16

Problem # k + 39

Of all the five digit numbers, how many are odd and without repetition of digits?

#43463 Re: Jokes » Clean Jokes » 2005-10-25 16:12:34

Hi m_f,
Welcome to the forum.
Nice pic.

#43464 Re: This is Cool » Really good at Mathematics? » 2005-10-25 16:11:05

Nobel prize is not awarded for Mathematics. Field's Medal is the Nobel Prize equivalent in Mathematics. However, its awarded only once in four years.

#43465 Re: Help Me ! » Taylor Series Expansion » 2005-10-25 16:09:33

sin(x)  = sin(0) + xcos(0) −x²sin(0)/2! − x³ cos(0)/3!
+ x^4 sin(0)/4! - x^5 cos(0)/5! + ...............
= x - x³/3! + x^5/5! - x^7/7!................

#43466 Re: Jai Ganesh's Puzzles » Problems and Solutions » 2005-10-24 16:14:55

Problem # k + 38

Prove that, for any natural number n ≥ 2, there exists atleast one prime number between n and 2n.

#43467 Re: Help Me ! » geometry » 2005-10-24 16:13:22

math wrote:

C)in assemble N ,every number is white or black so that white + black=black
prove : white + white = white

Let white=0, black=1;
white + black = 0 + 1 = 1 = black
white + white = 0 + 0 = 0 = white, Proved!

For A), B) please give some time. Yes, Proofs aren't too easy. They are time consuming.

#43468 This is Cool » Really good at Mathematics? » 2005-10-23 20:49:23

Jai Ganesh
Replies: 7

Are you very good at Mathematics? This is the award you should aspire for, and get, before you are forty.
FieldsMedal.gif
For more information click here.

#43469 Re: Help Me ! » basic geometry... » 2005-10-23 20:32:12

This page would be of help.
A linear equation has to necessarily be of degree 1. (degree of a polynomia or an equation is the highest power of any varibale)

#43470 Re: Help Me ! » Prove that 2n natural numbers is n(2n+1) » 2005-10-23 16:09:46

jd wrote:

I only started a level is there a easier way? I think I saw "S=n/2[2a + (n-1)d]" when the teacher did it.

You can think of a sum of n natural numbers as an Arithmetic Progression and use this formula.
S = n/2[2a + (n-1)d]
Here, n = n, a = 1, d = 1
Therefore, S = n/2[2 + (n-1)1]
S = n(n+1)/2

#43471 Re: Jai Ganesh's Puzzles » Problems and Solutions » 2005-10-22 18:39:03

Problem # k + 37

A string of 1996 digits begins with the number 6. Any number formed by two consecutive digits is divisible by 17 or 23. The number contains two consecutive digits which are multiples of 17 and multiples of 23. What is the last digit?

#43473 Re: Jai Ganesh's Puzzles » Problems and Solutions » 2005-10-21 23:39:25

Problem # k + 36

Is it true that n^3+5n-1 is prime for any natural n?

#43474 Re: Jai Ganesh's Puzzles » Problems and Solutions » 2005-10-21 23:09:16

Problem # k + 35

An easy one:-

Dazzy fishes for more than a week. He experiences three different levels of success. On a good day he catches 9 fishes. On a bad day he catches only 5 fishes. On other days he catches 7 fishes.
In all, Dazzy catches 53 fishes. How many bad days did he have?

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