Q30. What is the age of G?

Question

Q30. What is the age of G?

1. A. 37 years
2. B. 24 years
3. C. 47 years
4. D. 52 years
5. E. 66 years (Correct answer)

Correct Answer

Option E — 66 years

Detailed Solution & Explanation

The correct answer is 66 years.

Key Points

• Puzzle setup: seven people born in 1947, 1959, 1964, 1973, 1978, 1988, 2001 (ages in 2025: 78, 66, 61, 52, 47, 37, 24).
• Applying the clues — C + F = D, G divisible by 6, A + G prime, A just older than F, A + B divisible by 5 — fixes the arrangement as B = 1947 (78), G = 1959 (66), D = 1964 (61), E = 1973 (52), A = 1978 (47), F = 1988 (37), C = 2001 (24).
• G was born in 1959, so G's age in the base year 2025 is 2025 − 1959 = 66 years.
• This satisfies the clues that pin down G: 66 is divisible by 6, and A + G = 47 + 66 = 113, a prime number.
• the two conditions on G (divisible by 6, and A + G prime) together uniquely fix G's age at 66 — 24 is also divisible by 6 but 47 + 24 = 71 would clash with other placements, while 78 gives 47 + 78 = 125, which is not prime.

Exam Tip

• when a person is defined by two numeric conditions, list the candidates that satisfy the first, then test each against the second — only one survives.