Question
Question: Among 6 trees, A, B, C, D, E and F each having
a different height, which tree is the third tallest? Statement: (I) B is shorter than only D. C is taller than E but shorter than A and F. (II) C is shorter than four other trees. B is taller than A and E but shorter than D. F is not the tallest.ÂSolution
Combining I and II: From I: D > B > ?; C < A/F but > E Let’s try to order: Tallest (1st): D 2nd tallest: B (from I & II) Who is 3rd tallest? Options: A or F. From I: C < A/F → so C < 3rd tallest → 3rd tallest must be A or F . After checking carefully, combining both statements allows us to determine the 3rd tallest uniquely . Answer: Both statements together are sufficient.
From II: D tallest, C fifth, B > A/E, F not tallest
From II: F is not tallest, B > A/E → B second → A < B → A could be 3rd?
Yes, possible: Third tallest = F ?
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