Discussion
A, B, C, D, E and F are cousins. No two cousins are of the same age but all have birthdays on the same date. The youngest is 17 years old and the oldest E is 22. F is somewhere between B and D in age. A is older than B. C is older than D. Which of the following is not possible?
Answer: D
All six cousins have different ages, the youngest is 17 and the oldest, E, is 22, so A, B, C, D and F take the ages 17 to 21. F lies between B and D in age.
If F were 20, then one of B and D would be 21 and the other younger. B cannot be 21 because A is older than B and nobody except E (22) is older, and D cannot be 21 because C is older than D. So F is 20 is not possible, option D. The other cases (D = 20, F = 18, F = 19) can be fitted.
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