Arpith, Balu, Chendu and Dinesh are four friends playing carom. Arpith and Balu are partners. Dinesh faces towards the north. If Arpith faces towards the west, then in which direction will Chendu face?
South
Solving the Carom Board Seating Puzzle
This question asks us to determine the direction Chendu will face while playing carom, given the positions and partners of the other players. In a standard four-player carom game, players sit opposite their partners.
Let's break down the information given:
- There are four friends: Arpith, Balu, Chendu, and Dinesh.
- Arpith and Balu are partners. This means Arpith and Balu sit opposite each other.
- Dinesh faces towards the north. If Dinesh faces North, he is sitting on the South side of the carom board.
- Arpith faces towards the west. If Arpith faces West, he is sitting on the East side of the carom board.
Now let's figure out the seating arrangement based on these facts.
- Dinesh is sitting on the South side, facing North.
- Arpith is sitting on the East side, facing West.
- Arpith and Balu are partners, so they sit opposite each other. Since Arpith is on the East side, Balu must be on the West side. If Balu is on the West side, he will be facing East (opposite to Arpith facing West).
- The four positions around the carom board are North, South, East, and West sides. We have placed Dinesh on the South side and Arpith on the East side, and Balu on the West side.
- The only remaining player is Chendu, and the only remaining side is the North side. Therefore, Chendu must be sitting on the North side of the board.
- If Chendu is sitting on the North side of the board, he will be facing towards the South.
So, the arrangement is:
- Dinesh: South side, facing North.
- Arpith: East side, facing West.
- Balu: West side, facing East (partner of Arpith).
- Chendu: North side, facing South (partner of Dinesh).
This confirms that partners (Arpith & Balu) sit opposite each other and face opposite directions (West & East). The other two friends (Dinesh & Chendu) must also be partners sitting opposite each other and facing opposite directions (North & South).
Based on this logical deduction, Chendu is sitting on the North side and facing South.
Important Questions from Polygon Arrangement
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