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.

Who among the following was born in 1980?

The correct answer is Q.

Step 1: Calculate the ages of all individuals in the base year 2024.
Subtract each birth year from the base year 2024 to determine the age of each individual:

• Born in 1954:

$2024-1954=70$

• Born in 1962:

$2024-1962=62$

• Born in 1970:

$2024-1970=54$

• Born in 1980:

$2024-1980=44$

• Born in 1991:

$2024-1991=33$

• Born in 1998:

$2024-1998=26$

• Born in 2007:

$2024-2007=17$

Step 2: Determine P's age and birth year.
It is given that P's age is an even number divisible by 13.
The calculated ages are 70, 62, 54, 44, 33, 26, and 17.
Among these, the even ages are 70, 62, 54, 44, and 26.
The only even age divisible by 13 is 26, since:

$26÷13=2$

Therefore, P's age is 26, which means P was born in 1998.

Step 3: Determine K's age and birth year.
It is given that K is immediately older than P.
The age immediately greater than 26 is 33.
Therefore, K's age is 33, which means K was born in 1991.

Step 4: Determine L's age and birth year.
It is given that L's age is a multiple of 9.
From the remaining unassigned ages (70, 62, 54, 44, 17), the only multiple of 9 is 54, since:

$54÷9=6$

Therefore, L's age is 54, which means L was born in 1970.

Step 5: Determine Q's and O's ages and birth years.
It is given that the combined age of P and Q is equal to the age of O:

$\text{Age of P}+\text{Age of Q}=\text{Age of O}$

Substituting Age of P = 26:

$26+\text{Age of Q}=\text{Age of O}$

The remaining available ages for Q and O are 70, 62, 44, and 17.
Testing Age of Q = 44:

$26+44=70$

Since 70 is present in the list of available ages, Q's age is 44 (born in 1980) and O's age is 70 (born in 1954).

Step 6: Determine M's and N's ages and birth years.
The remaining ages are 62 and 17.
Since M is older than N, M's age is 62 (born in 1962) and N's age is 17 (born in 2007).

Final Birth Year & Age Mapping:
• 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, Q was born in 1980.