P, Q, R, S, T, V and W are seven friends. Each of them likes a particular fruit, viz. Apple, Banana, Pear, Guava, Orange, Mango and Watermelon and each of them has a favourite city, viz. Mumbai, Pune, Delhi, Kolkata, Chennai, Hyderabad and Cochin.
The choices of fruit and favourite city of the seven friends are not necessarily in the same order. Q likes Mango and his favourite city is Chennai. The one whose favourite city is Pune likes Watermelon. T's Favourite city is Kolkata. R likes Guava and his favourite city is not Mumbai. W's favourite city is Cochin and he does not like either Banana or Pear. The favourite city of the one who likes Orange is Hyderabad. T does not like Pear. P's favourite city is neither Pune nor Hyderabad. S does not like watermelon.
Solution
From the given information, we an construct the table:
Q - Mango - Chennai
_ - Watermelon - Pune
T - _ - Kolkata
R - Guava - _
W - _ - Cochin
_ - Orange - Hyderabad
_ - _ - _
We have 2 cities left to fill in the table i.e. Mumbai and Delhi but we are given that R does not like Mumbai, which means that R liked Delhi.
Also, P's favorite city is neither Pune nor Hyderabad, which leaves only 1 case i.e. P - _ - Mumbai.
Q - Mango - Chennai
_ - Watermelon - Pune
T - _ - Kolkata
R - Guava - Delhi
W - _ - Cochin
_ - Orange - Hyderabad
P - _ - Mumbai
Now, S does not like watermelon, which means that the only space for S is 5th row i.e. S - Orange - Hyderabad, and the remaining place will be filled by V.
Q - Mango - Chennai
V - Watermelon - Pune
T - _ - Kolkata
R - Guava - Delhi
W - _ - Cochin
S - Orange - Hyderabad
P - _ - Mumbai
The remaining fruits are Apple, Banana and Pear and we are given that W does not like either of Banana or Pear which implies that W likes Apple.
We are also given that T does not like Pear which leaves only 1 case T - Banana and P - Pear.
The final arrangement will look like:
Q - Mango - Chennai
V - Watermelon - Pune
T - Banana - Kolkata
R - Guava - Delhi
W - Apple - Cochin
S - Orange - Hyderabad
P - Pear - Mumbai
From the given arrangement, R's favorite city is Delhi.
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