A, B, C, D, E and F are cousins. No two cousins are of the same age, but all have birthdays on the same day of the same month. The youngest is 17 years old and the oldest E is 22 years old. F is somewhere between B and D in age. A is older than B. C is older than D. A is one year older than C.

Which one of the following is possible? 

(a) D is 20 years old 

(b) F is 18 years old 

(c) F is 19 years old 

(d) F is 20 years old


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E    A   C   B/D   F  D/B

22  21  20 19   18   17

(b) F is 18 years old.