27 February 2014
Thursday evening. No flight today. I got done with it on Monday. But still there is a puzzle…
Mary would like to go out with John but John did not care much for Mary. So Mary agreed to play a guessing game with him. John asked her to guess the apartment number that he first lived in. He let her know it was between 8 and 100 (both inclusive). But she had to guess with as few questions as she could.
Her first question was “Was the number more than 50”?
John answered the question. But what Mary did not know is that he lied. (he really did not care to go out with her).
Mary then asked “Is the number divisible by 4?”
John answered that question. But once again, he lied.
Mary thought for a while and asked “Was it a square number”?
This time John answered the question truthfully.
Mary excitedly asked her final question “I know the exact answer if you tell me if the number started with 3 or not”
John answered that question too. But we do not know whether he was telling the truth or not.
At that point, Mary proceeded to guess the apartment number. As you can imagine, she got it wrong. (After all John lied at least twice).
Now, can you tell me what was John’s apartment number?