OPINIONS AND FACTS: WRITE AN ARTICLE AN GET A GIFT

WRITE AN ARTICLE AN GET A GIFT

WRITE AN ARTICLE ON THE TOPIC ' HOW I FEEL WHEN I WAS IN THE REFUGEE CAMP FOR 17 YEARS' IN ABOUT 200 WORDS AND MAIL IT TO kalyan89@live.com . THE WINNER WILL GET A GIFT FROM ONE OF MY SPONSORS. THIS COMPETITION IS ONLY MEANT FOR MY BHUTANESE FRIENDS. SORRY FOR THOSE WHO COULD NOT WRITE ON THIS TOPIC.

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MATHEMATICAL CHALLANGE ONE (A)

Do you know that there are infinitely many integers x and y satisfying the equation (Note that the last 2 in each number represent square, eg. x2 means x squared, 2092 means 209 squared)
3.x2 + 1 = y2
Namely, 3.02 + 1 = 12
3.12 + 1 = 22
3.42 + 1 = 72
3.152 + 1 = 262
3.562 + 1 = 972
3.2092 + 1 = 3622
3.7802 + 1 = 13512
3.29112 + 1 = 50422
3.108642 + 1 = 188172
Can you give any values of x and y satisfying the above equations other than given above. If you can, mail your answer at mailtoknsharma505 @ gmail.com.

KAPIL

MATHEMATICAL CHALLANGE ONE : HOW A PRISONER CAN ESCAPE?

Once there were four prisoners accused of committing a crime. Their jail was full and there was no way that the jailer could accommodate them, so he decided to throw one puzzle at them. If any one of them could answer the puzzle correctly, all four of them would be released. Otherwise, all would be put in the jail.
Each prisoner was given a hat which was either black or red. Three of them were kept in a row and the fourth was kept in a separate room. The jailer explained that there were two black hats and two red hats. Each one in the row could see the hat on the head of the prisoner in front of him but not his own or of the prisoner behind him. The one in the separate room could neither see nor be seen by others .They could not communicate with each other and when they speak they have to speak either red or black. They were given 30 minutes to discuss among themselves how they might escape the punishment. The question is, how the prisoners escape?

KAPIL

OPINIONS AND FACTS

WELCOME EVERYONE (edited 09/25/09)

WRITE AN ARTICLE AN GET A GIFT

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MATHEMATICAL CHALLANGE ONE (A)

MATHEMATICAL CHALLANGE ONE : HOW A PRISONER CAN ESCAPE?