Four people think of a number, and then proceed to each tell you something about it.

• A: The number has 2 digits
• B: The number is a divisor of 150
• C: The number is not 150
• D: The number is divisible by 25

Unfortunately, one of these people is not telling the truth. Who is it?

(In reply to All Can tell the truth by Ken)

It's a stated in the problem that one of them is lying. While it's hypothetically possible for all these things to be true about a number, one of them just happens to not be true about the particular number the people thought of.

Posted by levik on 2002-09-12 03:52:10