The Principal of Harvard College is allocating office cabins to seven PhD students, namely, John, Jame ., Mary. Michael, Richard, Franka and Tom. The cabins of these students are a1Tai1ged in a row (left $$\rightarrow$$ right).
Tom is working on a project vvith Richard and they receive phone calls regularly for the project work. Tom is always seated to the left of Richard. Mary is the Class Representative and is allotted the largest space which is cabin number 3. John and James sit together as they are working on the same assignment and are required to discuss regularly. Richasd, John, Michael and Tom like to read books. Mary does not like to read book and cabin next to her should be occupied by a non-reader. Michael is not allocated the extreme cabin.
From the given information,
1) Tom will sit on the left of Richard.
2) John and Jame will sit together.
3) Michael is not in extreme cabins.
4) John, Michael, Richard and Tom are readers.
5) Jame, Mary and Franka are non-readers.
6) Mary is in the third cabin, and as she doesn't like reading, on both sides of her cabin, non-readers must be seated.
It is given that Michael is not in extreme cabins. Hence he must take the fifth or sixth cabin.
Case (1):- Michael is in the sixth cabin.
In this configuration, Tom and Richard cannot sit together. Hence this case is not possible.
Case (2):- Michael is in the fifth cabin.
Tom and Richard can take the sixth and seventh cabins only.
Since Jane and John have to sit together. Jane can only take the second cabin. Hence Franka will take the third cabin.
Therefore Michael occupies the fifth cabin.
Option (C) is correct.
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