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.
How many persons are younger than F?
Correct Answer :
Four
Solution :
The correct option is Four.
Step 1: Calculate the age of each individual using 2024 as the base year.
Subtract each given birth year from 2024:
Born in 1955: years old
Born in 1962: years old
Born in 1971: years old
Born in 1980: years old
Born in 1992: years old
Born in 2003: years old
Born in 2014: years old
Step 2: Determine the birth years of B, E, and G.
• B’s age is a two-digit even number less than 15. The only age satisfying this condition is 10. Thus, B was born in 2014 (Age = 10).
• E is 11 years older than B:
Thus, E was born in 2003 (Age = 21).
• G is 11 years older than E:
Thus, G was born in 1992 (Age = 32).
Step 3: Determine the birth years of A and D.
• Exactly two persons were born between G (born in 1992) and A. Counting two birth years older than 1992 (1980 and 1971), A must have been born in 1962 (Age = 62).
• D is older than A. The only birth year older than 1962 is 1955. Thus, D was born in 1955 (Age = 69).
Step 4: Determine the birth years of F and C.
• The remaining unassigned birth years are 1971 (Age = 53) and 1980 (Age = 44).
• Since F is older than C, F was born in 1971 (Age = 53) and C was born in 1980 (Age = 44).
Step 5: Final Arrangement and Conclusion.
Arranging all seven individuals from oldest to youngest:
1955 (69 years old): D
1962 (62 years old): A
1971 (53 years old): F
1980 (44 years old): C
1992 (32 years old): G
2003 (21 years old): E
2014 (10 years old): B
The persons younger than F (born in 1971, age 53) are C, G, E, and B. Therefore, exactly Four persons are younger than F.
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