Thursday 6 September 2012


 NUMBERS
                                                Ganga  K S
                                                         IX B

 0,1,2,3,4,5...................
NUMBERS THE FIRST STEP OF
MATHEMATICS
  Have BEEN A HELPFUL DEVICE
IN EVERY SUBJECT.
FROM ARYABHATA TILL NOW
WE USE NUMBERS 
IN OUR DAY TO DAY LIFE.
WE USE NUMBERS AS
OUR FRIENDS WHEN 
PLAYING,CALCULATING.....
EVERY WHERE THERE IS A NUMBER
AS A PART OF OUR LIFE
IT DOES NOT HAVE AN END
IT GOES 
ON AND ON........JUST COUNT...... 0,1,2,3,4,5 .......

Sunday 2 September 2012



MATH PUZZLES……………

….  Anjali.J.VIIIA

1. Light Bulb
A light bulb is hanging in the first floor of the room. There are three switches in the ground floor room. One of these switches belongs to that light bulb. The light bulb is not lit and the switches are in off state. There is only one chance to visit the room. How can it be determined which of these switch is connected to the light bulb.

Solution:
First turn ON the first switch and leave it for few minutes. Then turn OFF the first switch and ON the second switch. Now enter the first floor room. If the light bulb is lit, the second switch must be connected to it. If it is not lit, it might the first or the third switch. Now touch the light bulb, it is hot it will be the connected to the first switch. Nor if it is cold, then it should be the third one.

2. Eleven Apples Puzzle: 

Question: 
Miss Anne has eleven kids in her class. She has a bowl containing eleven apples. Now Miss Anne want to divide the eleven apples to the kids, in such a way that a apple should remain in her bowl.
How can Miss Anne do it?

Solution:
Ten kids will get each one apple. The eleventh kid will get the apple with the bowl.


3. Two Fathers Puzzle:

Question:
Two fathers took their sons to a fruit stall. Each man and son bought an apple, But when they returned home, they had only 3 apples. They did not eat, lost, or thrown. How could this be possible?

Solution:
There were only three people. Son, his father and his grandfather.

4. Handshakes Puzzle: 

Question:
Jack and his wife went to a party where four other married couples were present. Every person shook hands with everyone he or she was not acquainted with. When the handshaking was over, Jack asked everyone, including his own wife, how many hands they shook. To his surprise, Jack got nine different answers.
How many hands did Jack's wife shake?

Solution:
Because, obviously, no person shook hands with his or her partner, nobody shook hands with more than eight other people. And since nine people shook hands with different numbers of people, these numbers must be 0, 1, 2, 3, 4, 5, 6, 7, and 8.
The person who shook 8 hands only did not shake hands with his or her partner, and must therefore be married to the person who shook 0 hands.
The person who shook 7 hands, shook hands with all people who also shook hands with the person who shook 8 hands (so in total at least 2 handshakes per person), except for his or her partner. So this person must be married to the person who shook 1 hand.
The person who shook 6 hands, shook hands with all people who also shook hands with the persons who shook 8 and 7 hands (so in total at least 3 handshakes per person), except for his or her partner. So this person must be married to the person who shook 2 hands.
The person who shook 5 hands, shook hands with all people who also shook hands with the persons who shook 8, 7, and 6 hands (so in total at least 4 handshakes per person), except for his or her partner. So this person must be married to the person who shook 3 hands.
The only person left is the one who shook 4 hands, and which must be Jack's wife. Jack's wife shook 4 hands.

5. Gold Puzzle: 

Question: 
There are three boxes in a table. One of the box contains Gold and the other two are empty. A printed message contains in each box. One of the messages is true and the other two are lies.
The first box says "The Gold is not here".
The Second box says "The Gold is not here".
The Third box says "The Gold is in the Second box".
Which box has the Gold?

Solution:
As the message contains one truth, the third says that the gold is in the second box, if it is to be true, then the first box message will also become true. So Gold cannot be in second and third boxes. Gold is in the first box.

Strange Properties of 666


"The Number of the Beast"
                          
 Sudhy P S - XII B


The last book of the Bible, Revelation, brings up the number 666 as being the number of the beast connected with the end of this age and the coming of the Messiah. You will find the direct reference in Chapter 13, verse 18 of Revelation. Besides that cataclysmic reference, the number 666 has quite a few very interesting properties.
666 = 3^6 - 2^6 + 1^6
666 = 6^3 + 6^3 + 6^3 + 6 + 6 + 6

(Mike Keith mentions that there are only five other positive integers that exhibit this property...find 'em!)
666 = 2^2 + 3^2 + 5^2 + 7^2 + 11^2 + 13^2 + 17^2
666 = 1 + 2 + 3 + 4 + 567 + 89 = 123 + 456 + 78 + 9 = 9 + 87 + 6 + 543 + 21
Moreover, 666 is equal to the sum of the cubes of the digits in its square (666^2 = 443556, and the sum of the cubes of these digits is 4^3 + 4^3 + 3^3 + 5^3 + 5^3 + 6^3 = 621) plus the sum of the digits in its cube (666^3 = 295408296, and 2+9+5+4+0+8+2+9+6 = 45, and 621+45 = 666).
Incredibly, the number 666 is equal to the sum of the digits of its 47th power, and is also equal to the sum of the digits of its 51st power. That is,
666^47 = 5049969684420796753173148798405564772941516295265
4081881176326689365404466160330686530288898927188
59670297563286219594665904733945856
666^51 = 9935407575913859403342635113412959807238586374694
3100899712069131346071328296758253023455821491848
0960748972838900637634215694097683599029436416

and the sum of the digits on the right hand side is, in both cases,
 666. In fact, 666 is the only integer greater than one with this property. (Also, note that from the two powers, 47 and 51, we get (4+7)(5+1) = 66.)
Mr. Keith also points out that if we assign numerical values for the letters of the alphabet starting with A = 36, B = 37, and so on, we find that the letters in the word


SUPERSTITIOUS = 666 !!!

                            
From contributor James Watt comes the following: "Here are some other neat things about 666 I seem to have discovered (since I never found any reference anywhere else). 6+6+6 =18 and 18 x 37 = 666. 
Similarly, 4+4+4 = 12. 12 x 37 = 444. etc. In Roman numerals (and the Greek equivalents), which John would have used to write them, it is DCLXVI, the exact sequential descending order of Roman Numerals.
Now
 1/81 = .012345679012345679012345679.... Notice the 8 is missing. 1+2+3+4+5+6+7+9 = 37.
The other 'number of the beast' is called the vulgate number. It is 616. If 'vulgar' Roman numerals are used in ascending order, vulgate Roman numerals 616 is IVXCD. The'L' is missing."
From contributor Matt Westwood comes this interesting fact: "666 is also the total of all the numbers in a 6x6 magic square. That is, it's the 36th triangle number, being <math>sum_{k=1}^{36} k</math>." He also goes on to mention "In one of the many branches of Hermitic magic that I once studied, the magic squares of the various sizes were talismans for the various planetary influences: 3x3: Saturn, 4x4: Jupiter, 5x5: Mars, 6x6: Sun, 7x7: Venus, 8x8: Mercury, 9x9: Moon. A more recent book on the subject tried to convince that 11x11 was Neptune, or something, but this is far from profound: there exists a simple algorithm for creating *any* odd-order magic square with consecutive natural numbers starting from 1. Although I did find it profound at the time that I won a raffle ticket with the number 369 (the number of the 9x9 square) on the very day I moved into a new house. Add or subtract n from every digit of any magic square, and it remains magic of course."


Amazing prime numbers
                                                    -  Sneha Devan XIB -

Here are few amazing prime numbers, these prime numbers were proved by the XVIIIth century.
31, 331, 3331 ,33331 ,333331, 3333331 ,33333331.




angel number 412

 Rules
   Step 1  
               Select any whole number. 
   Step 2  
               If it is an even number, divide by 2; if it is odd number multiply by 3 and add 1. 
   Step 3  
               Repeat the process mentioned in step 2 until you get the loop value 4, 2, 1 in 
               repetition. 
Example
  Whole number is 15. 
  15 is an odd no; so (15 × 3) + 1 = 46 
  46 is an even no; so 46 / 2 = 23 
  23 is an odd no; so (23 × 3) + 1 = 70 
  70 is an even no; so 70 / 2 = 35 
  35 is an odd no; so (35 × 3) + 1 = 106 
  106 is an even no; so 106 / 2 = 53 
  53 is an odd no; so (53 × 3) + 1 = 160 
  160 is an even no; so 160 / 2 = 80 
  80 is an even no; so 80 / 2 = 40 
  40 is an even no; so 40 / 2 = 20 
  20 is an even no; so 20 / 2 = 10 
  10 is an even no; so 10 / 2 = 5 
  5 is an odd no; so (5 × 3) + 1 = 16 
  16 is an even no; so 16 / 2 = 8 
  8 is an even no; so 8 / 2 = 4 
  4 is an even no; so 4 / 2 = 2 
  2 is an even no; so 2 / 2 = 1 
  1 is an odd no; so (1 × 3) + 1 = 4 
  4 is an even no; so 4 / 2 = 2 
2 is an even no; so 2 / 2 = 1
So the loop 4..2..1 goes on and on.
Tip : The angel number 421 is the smallest prime formed by the two powers in logical order from right to left.