A professor thinks of two numbers

A professor thinks of two consecutive numbers between 1 and 10.
'A' knows the 1st number and 'B' knows the second number

A: I do not know your number.
B: Nor do I know your number.
A: Now I know.

What are the four solutions for this?




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I have thought of a number that is made up by using all the ten digits just once. Here are a few clues for you to guess my number:

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First three digits are divisible by 3.
First four digits are divisible by 4.
First five digits are divisible by 5.
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First eight digits are divisible by 8.
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How many bounces do you think the ball will make before it comes to a stop ?

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