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 Wrong Place, Right Place (Posted on 2003-11-17)
One person comes up to another person beside his bike. "Can I use your bike?" he asks. The person by the bike replies, "Only if you figure out the combination to my bike lock, which is made up of 4 different numbers from 1 through 8. You can guess 3 numbers."

He guessed 1235, 4721, and 3862. All three were answered with "One number in the combination is in the wrong place, and another is in the right place. The other two aren't in the combination."

The guesser was puzzled and asked "Is the number divisible by 7?" The person with the bike answered this question and after thinking for a while, the guesser told him the combination. What is the combination?

 See The Solution Submitted by Gamer Rating: 3.3333 (9 votes)

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 Solution | Comment 34 of 35 |
1) 1235
2) 4721
3) 3862

We know that 2 digits are in the magic number from (1). So it could be either
a) 1&2
b) 1&3
c) 1&5
d) 2&3
e) 2&5
f) 3&5.

a, c, d and f are not possible, because u will end up with a 5 digit number.

So only 1&3, 2&5 are possible. This will give you the following possilbe numbers:
7831
1763
4825
2765

There is no ambiguity if the number is divisible by 7, which 2765. So the magic number is 2765.

 Posted by Senthil Kumar on 2003-11-21 18:04:05

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