Six individuals — Tarun, Charu, Visakha, Monika, Anko, and Viraj — were born in different years with the current base year as 2018. None of them is older than 90 years. Each person likes a different fruit: Apple, Orange, Grapes, Cherry, Mango, and Banana.
Note: The last two digits or the reverse of the last two digits of a person's birth year can represent the age of another person. For example, if A was born in 1943, then the age of B could be either 34 or 43.
Given: - Tarun was born in 1983. - The age difference between Tarun and Charu is 21 years. - Visakha's age is the sum of the digits of Charu's birth year. - The person who likes Mango is 5 years older than Visakha. - Anko's age is either the last two digits or the reverse of the last two digits of the birth year of the person who likes Mango. - Only one person is older than Anko. - Visakha likes Apple. - The person who likes Cherry is just younger than Anko. - The difference between Viraj's age and the person who likes Cherry is 24 years. - The person who likes Banana was born in an even year. - The person who likes Orange is younger than the one who likes Grapes by an odd number of years. - Monika is younger than Viraj.
Question: Who among the following is the eldest?
(a) Anko
(b) Tarun
(c) Charu
(d) Visakha
(e) None of these

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**Solution:**

1. Tarun was born in 1983, so his age in 2018 is:
   $$2018 - 1983 = 35 	ext{ years}$$

2. The age difference between Tarun and Charu is 21 years.
   - Charu can be either older or younger than Tarun.
   - If Charu is older: Charu's age = $35 + 21 = 56$
   - If Charu is younger: Charu's age = $35 - 21 = 14$

3. Visakha's age is the sum of the digits of Charu's birth year.
   - If Charu is 56 years old in 2018, birth year = $2018 - 56 = 1962$.
     Sum of digits = $1 + 9 + 6 + 2 = 18$.
   - If Charu is 14 years old, birth year = $2018 - 14 = 2004$.
     Sum of digits = $2 + 0 + 0 + 4 = 6$.

4. The person who likes Mango is 5 years older than Visakha.
   - If Visakha is 18, Mango liker is $18 + 5 = 23$ years old.
   - If Visakha is 6, Mango liker is $6 + 5 = 11$ years old.

5. Anko's age is either the last two digits or the reverse of the last two digits of the birth year of the person who likes Mango.
   - For Mango liker age 23, birth year = $2018 - 23 = 1995$.
     Last two digits = 95, reverse = 59.
     So, Anko's age is either 95 or 59.
   - For Mango liker age 11, birth year = $2018 - 11 = 2007$.
     Last two digits = 07, reverse = 70.
     So, Anko's age is either 7 or 70.

6. Only one person is older than Anko.
   - If Anko is 95, only one person older than 95 is impossible since no one is older than 90.
   - If Anko is 59, only one person older than 59 is possible.
   - If Anko is 70, only one person older than 70 is possible.

7. Visakha likes Apple.

8. The person who likes Cherry is just younger than Anko.
   - So Cherry liker’s age = Anko’s age - 1.

9. The difference between Viraj’s age and the Cherry liker’s age is 24 years.
   - So, $|Viraj - (Anko - 1)| = 24$.

10. The person who likes Banana was born in an even year.

11. The person who likes Orange is younger than the one who likes Grapes by an odd number of years.

12. Monika is younger than Viraj.

**From the above, the consistent scenario is:**
- Charu is 56 years old (born in 1962).
- Visakha is 18 years old (sum of digits of 1962).
- Mango liker is 23 years old.
- Mango liker born in 1995.
- Anko’s age is either 95 or 59.
  - 95 is invalid (older than 90), so Anko is 59.
- Cherry liker is 58 years old.
- Viraj is either 34 or 82 years old (58 ± 24).
  - 82 is possible (only one person older than Anko who is 59).
- So Viraj is 82 years old.
- Monika is younger than Viraj.

**Eldest person:** Viraj (82 years) or Charu (56 years)?
- Viraj is 82, but only one person is older than Anko (59), so Viraj is older than Anko.
- Charu is 56, younger than Viraj.

Since Viraj is not an option, and Charu is the eldest among the options given, the answer is Charu.

**Answer:** (c) Charu

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