Directions: Read the following information carefully and answer the question given below.
Seven individuals — A, B, C, D, E, F, and G — were born on the same date and month across seven different years: 1955, 1962, 1971, 1980, 1992, 2003, and 2014. Calculate their ages taking 2024 as the base benchmark year.
B’s age is a two-digit even number less than 15. E is 11 years older than B. G is 11 years older than E. Exactly two persons were born between G and A. D is older than A. F is older than C.
Which of the following individuals was born in 1971?
Correct Answer :
F
Solution :
The correct answer is F.
Step-by-step Explanation:
First, calculate the age of each individual in the base benchmark year 2024 based on their year of birth:
• 1955: 2024 - 1955 = 69 years
• 1962: 2024 - 1962 = 62 years
• 1971: 2024 - 1971 = 53 years
• 1980: 2024 - 1980 = 44 years
• 1992: 2024 - 1992 = 32 years
• 2003: 2024 - 2003 = 21 years
• 2014: 2024 - 2014 = 10 years
Now, let's analyze the given clues step-by-step:
1. Determine B's age and birth year:
B’s age is a two-digit even number less than 15. Among the calculated ages, the only two-digit even number less than 15 is 10.
Thus, B's age is 10 years, which means B was born in 2014.
2. Determine E's age and birth year:
E is 11 years older than B.
Age of E = 10 + 11 = 21 years.
The birth year corresponding to age 21 is 2003.
3. Determine G's age and birth year:
G is 11 years older than E.
Age of G = 21 + 11 = 32 years.
The birth year corresponding to age 32 is 1992.
4. Determine A's birth year:
Exactly two persons were born between G and A. Since G was born in 1992 (the 5th year chronologically), counting two persons older than G leads to 1962 (the 2nd year chronologically).
Thus, A was born in 1962 (age 62).
5. Determine D's birth year:
D is older than A. The only birth year older than 1962 is 1955.
Thus, D was born in 1955 (age 69).
6. Determine F's and C's birth years:
The remaining birth years are 1971 and 1980.
Since F is older than C, F must be born in the earlier year.
Therefore, F was born in 1971 and C was born in 1980.
Final Arrangement:
• 1955 (69 years): D
• 1962 (62 years): A
• 1971 (53 years): F
• 1980 (44 years): C
• 1992 (32 years): G
• 2003 (21 years): E
• 2014 (10 years): B
Hence, the individual born in 1971 is F.
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