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    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. 
    A Data in Statement I alone is sufficient to answer the question while data in statement II is not. Correct Answer Incorrect Answer
    B Data in Statement II alone is sufficient to answer the question while data in statement I is not Correct Answer Incorrect Answer
    C Data in statements I and II together are sufficient to answer the question. Correct Answer Incorrect Answer
    D Data in statements I and II together are NOT sufficient to answer the question. Correct Answer Incorrect Answer

    Solution

    Combining I and II:

    From I: D > B > ?; C < A/F but > E
    From II: D tallest, C fifth, B > A/E, F not tallest

    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 .
    From II: F is not tallest, B > A/E → B second → A < B → A could be 3rd?
    Yes, possible: Third tallest = F ?

    After checking carefully, combining both statements allows us to determine the 3rd tallest uniquely .

    Answer: Both statements together are sufficient.

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