OPINIONS AND FACTS: An underground armed group called United Revolutionary Front of Bhutan (URFB) has taken the responsibility of massive explosion

Gelephu, December 31: A huge blast from a detonator planted underground on the road near Singay village in Sarpang district claimed the lives of four injuring two yesterday.

Department of forest mentioned that those who met the scene were foresters were on a tractor, which was massively blown up early morning.

Locals in Singay village reported that several rounds of gun-fire were heard early 3 am.

"The attackers fired us mercilessly," said one of the injured victims in Gelephu hospital adding, "They looted SLR and some mobile sets."

The regime-mouthpiece Kuensel suspected the involvement of Communist Party of Bhutan quoting the spokesperson of Bhutan Police.

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)

An underground armed group called United Revolutionary Front of Bhutan (URFB) has taken the responsibility of massive explosion

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MATHEMATICAL CHALLANGE ONE (A)

MATHEMATICAL CHALLANGE ONE : HOW A PRISONER CAN ESCAPE?