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Roopa Malika

CAT Preparation Community 5y ago

Madan went to an Island on which there were three tribes of people. People from one of the tribes always spoke the truth. People from the second tribe always lied. People who belonged to the third tribe spoke truth and lie alternately. The Island had only 3 fruits i.e. apple, mango and banana. Mohan found three people X, Y and Z asked them about their favorite fruits. Their responses were as follows. X: I like apple. Y likes mango Y: Z likes mango. X likes banana Z: I like apple. X likes banana If it is known that X, Y and Z belonged to different tribes and each one of them liked a different fruit, then answer the following questions Who likes apple?

4

preetisha das 5y ago

Y

Aakash Sabale 5y ago

y

akhil juyal 5y ago

y

Akarsha Mandala 4y ago

Hi Roopa Malika, Case 1: X is a truth-teller X - apple Y - mango Z - banana This implies, Y is liar and Z is liar but in the questions it is mentioned that there is only one liar. Therefore, this case is invalid Case 2: Y is a truth-teller X - banana Y - apple Z - mango This implies X is a liar and Z is an alterator. Therefore, this case is correct. Case 3: Z is a truth-teller X - banana Y - mango Z - apple This implies both X and Y are alterators. Therefore, this is invalid case. Only Case 2 satisfies all the conditions and Y likes apple. Therefore, answer is Y. Hope this helps!

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