Test machines

Write down all the numbers in the range and cross out what does not fit for each machine.
Important: a 'not true' helps too! "The number is even - not true" means all even numbers are out.
In the end exactly one number is left. Every machine is needed for that.

Example

The number is odd.You reach thenumber in steps of3.The number issmaller than 4.The secret number:1
The number iseven.The number isgreater than 6.The number has twodigits.The secret number:8
The number has twodigits.You reach thenumber in steps of5.The number is odd.The secret number:15

For parents

What does this exercise practice?

Test machines show that a denied statement tells you just as much as a confirmed one - the heart of all detective logic.

Common pitfalls

"Not true" is often overlooked or read as "don't know". It is a clear statement though: this property does not apply.

How to practice at home

One person thinks of a number up to 20, the other asks yes-no questions. How few questions are enough?

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