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Class act (Posted on 2002-05-02) Difficulty: 3 of 5
31 students in a row were numbered 1,2,...,31 in order. The teacher wrote down a number on the blackboard.

Student 1 said "the number is divisible by 1",
Student 2 said "the number is divisible by 2",
and so forth...until
Student 31 said "the number is divisible by 31".

The teacher remarked: "Very well pups, but two of you gave a wrong statement, and those two sit besides each other". Determine those two.

See The Solution Submitted by theBal    
Rating: 3.5000 (10 votes)

Comments: ( Back to comment list | You must be logged in to post comments.)
Some Thoughts Easily done | Comment 6 of 15 |
Actually, when I looked in a few math books, it says divisible means you would need to have a remainder of 0. So your nitpicking is actually incorrect.

The way I did it was looked at numbers that were perfect squares, cubes and square, cube roots were prime... I got 2^4 as one (just by luck) and noted 17 was close too, so I got it quickly
  Posted by Gamer on 2003-04-12 13:34:27
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