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.

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