Multiple choice

Direction: Meena, Nikhil, Orchid, Peter, Quazim and Ralph are sitting around a round table studying for their final examination which is only two days away. Quazim and Nikhil want to sit next to one another because they both have to give the psychology exam and want to discuss. Mina doesn`t like to sit next to Nikhil and she wants to share her Mathematics notes with Peter. Peter prefers to sit next to Orchid because she is the most intelligent person of the group. If Ralph sits to the right of Orchid, how many different arrangements are possible?

  1. 1

  2. 2

  3. 3

  4. 4
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A Correct answer
Explanation

This is a circular arrangement problem. With constraints (Quazim-Nikhil together, Meena not next to Nikhil, Meena next to Peter, Peter next to Orchid, Ralph right of Orchid), the number of valid arrangements is limited. Given the constraints, there is only 1 valid arrangement.

AI explanation

Orchid is seated, Ralph sits to her right, and Quazim and Nikhil sit together, leaving the pairs to place in 2 available spots. The constraint that Meena sits with Peter and not Nikhil forces Quazim and Nikhil into the spots adjacent to Ralph and Orchid, leaving exactly 1 valid arrangement.

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