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 All are correct (Option A - Red is also correct among individual combinations).

Step 1: Calculate the age of each person as of the year 2026.

Given birth years: 1980, 1985, 1988, 1992, 1995, and 1998.

• 1980: 2026 - 1980 = 46 years old
• 1985: 2026 - 1985 = 41 years old
• 1988: 2026 - 1988 = 38 years old
• 1992: 2026 - 1992 = 34 years old
• 1995: 2026 - 1995 = 31 years old
• 1998: 2026 - 1998 = 28 years old

Step 2: Determine the birth year of F.

The sum of the digits of the year in which F was born is 27.
Let's check the sum of digits for each 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

Therefore, F was born in 1998 (Age: 28).

Step 3: Determine the person who is the oldest and other positions.

• A is the oldest person, so A was born in 1980 (Age: 46).

• D was born immediately before E, who likes Orange.
The remaining available consecutive birth year slots are (1985, 1988) or (1988, 1992) or (1992, 1995).
Let's check E's position: E likes Orange, and two persons were born between the one who likes Blue and E.
If E was born in 1995, then the person who likes Blue must have been born in 1985 (since 1988 and 1992 are the 2 persons in between).
Then D was born immediately before E, so D was born in 1992.
This leaves C or B for 1985 and 1988. Since 1985 likes Blue, person B likes Blue and C was born in 1988.

Step 4: Determine the colors.

• The difference between the age of the one who likes Red and the one who likes Green is 8 years, and Green is younger than Red.
Age differences of 8 years in our list:
46 - 38 = 8 (1980 and 1988).
Thus, the person born in 1980 (A) likes Red, and the person born in 1988 (C) likes Green.

Summary of Final Combinations:

1980 (Age 46): A - Red
1985 (Age 41): B - Blue
1988 (Age 38): C - Green
1992 (Age 34): D - Yellow / Purple
1995 (Age 31): E - Orange
1998 (Age 28): F - Purple / Yellow

Checking the given options:
• F - 28 is correct.
• B - Blue is correct.
• E - Orange is correct.
• A - Red is correct.

Hence, all the listed combinations are correct, making A - Red (or All are correct) valid.