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 subsequent pairs is the difference in age greater than 8 years?

To determine which pair of persons has an age difference greater than 8 years, let us first calculate the ages of all individuals as of the year 2026 and deduce their birth years and preferences step-by-step.

Step 1: Calculate the ages of persons based on their birth years (as of 2026).
The given birth years are 1980, 1985, 1988, 1992, 1995, and 1998.
• Age of person born in 1980 = 2026 - 1980 = 46 years
• Age of person born in 1985 = 2026 - 1985 = 41 years
• Age of person born in 1988 = 2026 - 1988 = 38 years
• Age of person born in 1992 = 2026 - 1992 = 34 years
• Age of person born in 1995 = 2026 - 1995 = 31 years
• Age of person born in 1998 = 2026 - 1998 = 28 years

Step 2: Determine the birth year of each person using the given clues.

1. "A is the oldest person."
The oldest birth year is 1980. Therefore, A was born in 1980 (Age: 46).

2. "The sum of the digits of the year in which F was born is 27."
Let us check the sum of digits for each birth year:
• 1980: 1 + 9 + 8 + 0 = 18
• 1985: 1 + 9 + 8 + 5 = 23
• 1988: 1 + 9 + 8 + 8 = 26
• 1992: 1 + 9 + 9 + 2 = 21
• 1995: 1 + 9 + 9 + 5 = 24
• 1998: 1 + 9 + 9 + 8 = 27
Thus, F was born in 1998 (Age: 28).

3. "D was born immediately before E, who likes Orange."
The consecutive available birth years (excluding 1980 and 1998) are:
• (1985, 1988) or (1992, 1995)
Since "Two persons were born between the one who likes Blue and E":
- If E was born in 1988 (position 3), then the person who likes Blue must be born in 1998 (position 6).
- If E was born in 1995 (position 5), then the person who likes Blue must be born in 1985 (position 2).
- Let us also check: "The one who likes Green is younger than the one who likes Red, and the difference between their ages is 8."
The pairs of ages with a difference of 8 are:
• 46 (1980) and 38 (1988): difference = 46 - 38 = 8
• 36 is not present, but 38 (1988) - 8 = 30 (not present).
Wait, 46 - 38 = 8. So the person born in 1980 likes Red, and the person born in 1988 likes Green.
Therefore, the person who likes Green is born in 1988. Thus, E cannot like Green (since E likes Orange), so E was born in 1995.
Since D was born immediately before E, D was born in 1992 (Age: 34) and E was born in 1995 (Age: 31).

4. Since E was born in 1995, the person who likes Blue was born in 1985 (2 persons born between 1985 and 1995 are 1988 and 1992).
The remaining birth years are 1985 and 1988 for B and C.
Thus, the age mapping for all persons is as follows:
• A: 1980 (Age = 46)
• D: 1992 (Age = 34)
• E: 1995 (Age = 31)
• F: 1998 (Age = 28)

Step 3: Calculate the age differences for the given options.

• Option 1 (D, F): |34 - 28| = 6 years
• Option 2 (D, E): |34 - 31| = 3 years
• Option 3 (A, E): |46 - 31| = 15 years (which is greater than 8 years)
• Option 4 (E, F): |31 - 28| = 3 years

Therefore, the correct pair where the age difference is greater than 8 years is A, E.