Read the given information carefully and answer the following questions.

Six persons A to F were born on the same date in October in six different years, namely 1980, 1985, 1988, 1992, 1995, and 1998. Their ages are calculated as of 2026. Each person likes a different color among Red, Blue, Green, Yellow, Orange, and Purple. All the above information is not necessarily in the same order.

A is the oldest person. The one who likes Green is younger than the one who likes Red, and the difference between their ages is 8. Two persons were born between the one who likes Blue and E. D was born immediately before E, who likes Orange. The sum of the digits of the year in which F was born is 27.

In which of the following years was D born?

The correct answer is 1992.

Step-by-Step Explanation:

Step 1: Calculate the ages of persons as of 2026.

We are given six birth years: 1980, 1985, 1988, 1992, 1995, and 1998. Subtracting each birth year from 2026 gives their respective ages:

- Born in 1980: 2026 - 1980 = 46 years old

- Born in 1985: 2026 - 1985 = 41 years old

- Born in 1988: 2026 - 1988 = 38 years old

- Born in 1992: 2026 - 1992 = 34 years old

- Born in 1995: 2026 - 1995 = 31 years old

- Born in 1998: 2026 - 1998 = 28 years old

Step 2: Determine the birth year of F.

The clue states that the sum of the digits of the year in which F was born is 27.

Summing the digits of 1998 gives:

$1+9+9+8=27$

Thus, F was born in 1998 (age 28).

Step 3: Determine the birth year of A.

The clue states that A is the oldest person. The earliest birth year is 1980.

Thus, A was born in 1980 (age 46).

Step 4: Identify the persons who like Red and Green.

The clue states that the person who likes Green is younger than the person who likes Red, and the difference between their ages is 8 years.

Checking all age differences among 46, 41, 38, 34, 31, and 28:

$46-38=8$

This is the only pair with an age difference of 8 years. Since the one who likes Red is older:

- The person born in 1980 (A) likes Red.

- The person born in 1988 likes Green.

Step 5: Determine the positions of D, E, and the person who likes Blue.

We know that:

1. D was born immediately before E, who likes Orange.

2. Two persons were born between the one who likes Blue and E.

Let's evaluate the possibilities for (D, E):

- If E was born in 1988: E would like Orange, but the person born in 1988 likes Green. So E cannot be born in 1988.

- If E was born in 1992: D would be 1988. Two persons before E (1992) would mean the person born in 1980 likes Blue. However, we already know the person born in 1980 likes Red. So E cannot be born in 1992.

- If E was born in 1995: D is born in 1992. E likes Orange. Two persons born between the person who likes Blue and E (born in 1995) means the person born in 1985 likes Blue.

This fulfills all conditions perfectly!

- 1980: A (Red)

- 1985: Blue

- 1988: Green

- 1992: D

- 1995: E (Orange)

- 1998: F

Therefore, D was born in the year 1992.