Directions: Read the following information carefully and answer the question given below.

Seven individuals — K, L, M, N, O, P, and Q — were born in seven different years: 1954, 1962, 1970, 1980, 1991, 1998, and 2007, on the same month and day. (Consider 2024 as the base year for age calculations). The combined age of P and Q is equal to the age of O. P's age is an even number divisible by 13. K is immediately older than P. L's age is a multiple of 9. M is older than N.

Which of the following individuals is the eldest person?

The correct answer is O.

Step 1: Calculate the age of each individual for the base year 2024.
Subtract each given birth year from 2024:
• Born in 1954: 2024 - 1954 = 70 years old
• Born in 1962: 2024 - 1962 = 62 years old
• Born in 1970: 2024 - 1970 = 54 years old
• Born in 1980: 2024 - 1980 = 44 years old
• Born in 1991: 2024 - 1991 = 33 years old
• Born in 1998: 2024 - 1998 = 26 years old
• Born in 2007: 2024 - 2007 = 17 years old

The set of calculated ages is: {70, 62, 54, 44, 33, 26, 17}.

Step 2: Determine P's age and K's age.
• P's age is an even number divisible by 13. Among the calculated ages, 26 is divisible by 13 (13 × 2 = 26) and is even. Thus, P's age = 26 (born in 1998).
• K is immediately older than P. The age immediately greater than 26 is 33. Thus, K's age = 33 (born in 1991).

Step 3: Determine Q's age and O's age.
• The combined age of P and Q is equal to the age of O: Age(P) + Age(Q) = Age(O) ⇒ 26 + Age(Q) = Age(O).
• From the remaining ages {70, 62, 54, 44, 17}, if Age(Q) = 44, then 26 + 44 = 70, which matches an existing age in the list.
• Thus, Q's age = 44 (born in 1980) and O's age = 70 (born in 1954).

Step 4: Determine L's age.
• L's age is a multiple of 9. From the remaining ages {62, 54, 17}, 54 is divisible by 9 (9 × 6 = 54).
• Thus, L's age = 54 (born in 1970).

Step 5: Determine M's age and N's age.
• The remaining ages are 62 and 17. Since M is older than N, M's age = 62 (born in 1962) and N's age = 17 (born in 2007).

Final Summary of Ages and Birth Years:
• 1954 (Age 70): O
• 1962 (Age 62): M
• 1970 (Age 54): L
• 1980 (Age 44): Q
• 1991 (Age 33): K
• 1998 (Age 26): P
• 2007 (Age 17): N

Therefore, O (70 years old, born in 1954) is the eldest person.