Six individuals Tarun, Charu, Visakha, Monika, Anko, and Viraj were born in different years with the 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. 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 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 age difference between Viraj 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, and their ages differ by an odd number of years. - Monika is younger than Viraj.
Which of the following statements is correct?

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Accepted Answer

**Solution:**

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

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

3. Since none is older than 90, both are possible, but we will verify with other clues.

4. 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 = $2 + 0 + 0 + 4 = 6$.

5. The person who likes mango is 5 years older than Visakha.

- If Visakha is 18, mango liker is 23.
   - If Visakha is 6, mango liker is 11.

6. Anko's age is either the last two digits or the reverse of the last two digits of the birth year of the mango liker.

7. Only one person is older than Anko.

8. Visakha likes apple.

9. The person who likes cherry is just younger than Anko.

10. The difference between Viraj's age and the cherry lover's age is 24 years.

11. The person who likes banana was born in an even year.

12. The person who likes orange is younger than the one who likes grapes, and their ages differ by an odd number.

13. Monika is younger than Viraj.

**Step-by-step deduction:**

- Assume Charu is 56 years old (born in 1962).
- Visakha's age = 18.
- Mango liker is 23 years old.
- Mango liker’s birth year = $2018 - 23 = 1995$.
- Last two digits of 1995 are 95; reverse is 59.
- Anko’s age is either 95 or 59. Since no one is older than 90, 95 is invalid.
- So Anko is 59 years old.
- Only one person is older than Anko, so the eldest is 60 or above but less than or equal to 90.
- Cherry lover is just younger than Anko, so cherry lover is 58.
- Viraj's age differs by 24 years from cherry lover’s age 58.
- So Viraj’s age is either $58 + 24 = 82$ or $58 - 24 = 34$.
- Viraj must be older than Monika, so Viraj = 82.
- Banana liker born in an even year.
- Orange liker younger than grapes liker, difference is odd.

**Birth years:**
- Anko: $2018 - 59 = 1959$

This matches option (c).

**Answer:** Anko was born in 1959.

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