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Six persons were born in different years (with ages with respect to 2018). Their ages are at most 90. Their favourite fruits are Cherry, Orange, Apple, Mango, Banana, and Grapes. - The third youngest likes Apple. - Manika is older than Charu. - |Tarun - Cherry liker| = 21 years. - Visakha's age = sum of digits of the Cherry-liker's birth year. - Mango liker = Visakha + 5. - Only one person was born before Arko. - Arko's age = last two digits of the Mango-liker's birth year. - |Arko - Viraj| = 24. - Banana was born immediately before Grapes. - Tarun was born in 1983. Which statement(s) is/are true? I. The youngest likes Orange. II. Charu is fifth eldest. III. One person born in 1989 likes Grapes.

1. Only I
2. Both I and III
3. Only III
4. Both I and II

Correct answer: Both I and II

Solution

Using Tarun's birth year and the age relations, the full order of ages and fruit preferences can be determined. This makes statements I and II true, while statement III does not hold.

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