Nine persons (P,Q,R,S,T,U,V,W,X) born in 1998,2000,2003,2004,2005,2010,2012,2015,2017. Ages as of 31 Dec 2021. Q is 1 year younger than T and 1 year older than V. P born one year before R. U older than W. Persons born before P = persons born after U. X born before U but one position after S. R's age is not prime. Who is the eldest?

P
T
S
Either P or T

Correct answer: S

Solution

Q=1yr younger than T, 1yr older than V → T,Q,V consecutive. Consecutive available: 2003,2004,2005 → T=2003(18), Q=2004(17), V=2005(16). Persons before P=persons after U. P born before R → P older than R. R's age not prime: non-prime ages available. P=2000(age21), so 1 person before P (born 1998). That oldest person = S=1998(age23).

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