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.

Which of the following combinations is/are correct?

The correct option is A - Red.

Step 1: Calculate the ages of each person as of the year 2026.
Given birth years: 1980, 1985, 1988, 1992, 1995, 1998.
• Age of person born in 1980 = 2026 - 1980 = 46 years old
• Age of person born in 1985 = 2026 - 1985 = 41 years old
• Age of person born in 1988 = 2026 - 1988 = 38 years old
• Age of person born in 1992 = 2026 - 1992 = 34 years old
• Age of person born in 1995 = 2026 - 1995 = 31 years old
• Age of person born in 1998 = 2026 - 1998 = 28 years old

Step 2: Determine person F's birth year.
The sum of the digits of the year in which F was born is 27.
Let's check the digit sums of the birth years:
• 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
Therefore, F was born in 1998 (Age = 28).

Step 3: Determine A's age and birth year.
"A is the oldest person."
The oldest age is 46 (born in 1980). Thus, A was born in 1980.

Step 4: Determine the positions for D, E, and the person who likes Blue.
• E likes Orange.
• D was born immediately before E.
• Two persons were born between the one who likes Blue and E.
Let's test possible consecutive pairs (D, E):
1) If D = 1985 (41) and E = 1988 (38):
Two persons between Blue and E (1988) would place Blue in 1998.
2) If D = 1988 (38) and E = 1992 (34):
Two persons between Blue and E (1992) would place Blue in 1980 (A likes Blue). But let's check the Green and Red age difference condition next.

Step 5: Check the age difference between Red and Green.
"The one who likes Green is younger than the one who likes Red, and the difference between their ages is 8."

$\text{Age(Red)}-\text{Age(Green)}=8$

Let's look at the available ages (46, 41, 38, 34, 31, 28):
• 39 - 31 (Not in set)
• 46 - 38 = 8 (Ages 46 and 38)
So, the person born in 1980 (Age 46) likes Red, and the person born in 1988 (Age 38) likes Green.

Since the person born in 1980 likes Red, A (born in 1980) likes Red.
This directly confirms the combination A - Red is correct.