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### Tricky Logical Puzzle

Tricky Logical Puzzle - 26 January

I have one of the three numbers: 1, 2 or 3 in my mind. I speak only truth. You can ask me just one question for which I will only reply in yes or no or don't know. What question will you ask from me so that you are able to know the number ?

1. can you all be multiplied by the number one and still stay the same number?

2. Will subtracting 2 from your number give a negative number? P.s 0 is neither negative nor positive.

3. if you have 1 in your mind please say yes, if 2 please no, or if 3 please say i dont know :)

1. Clever. But I think it is not a question :)

4. I am thinking of 1 or 2 - is your number bigger than mine?. If 3 the answer is yes, if 1 the answer is no, if 2 the answer is I do not know

5. Is it a prime number other than 1???

6. Is your number greater than 2? Simple.

1. In this case he would answer "No" for both 1 or 2, and answer "Yes" for 3. It won't give you the solution if he chose 1 or 2.

7. ques can be is the number a prime no.?
if he says yes->its 3,
no->2
dont know->1

1. 3 is prime, and 2 is also prime. 1 is not a prime number. Your solution isn't working.

8. Subtract your number by 2 and divide by zero will give you positive number?
3 is positive infinity
2 0/0 indeterminate
1 will give negitive infinity

1. Anything divided by zero is zero.

9. Solution:
You will ask, I am thinking of a number from 2 and 3. Is the number I am thinking of smaller than or equal to the number you have in your mind?

Now, if I reply no, then the number is 1.
If I reply yes, then the number is 3.
If I reply don't know, then the number is 2.

'If I reply yes, then number is 3.' The number can also be 2 right ? because if I am thinking 2 or 3, it can still be equal to 2 ( a number i am thinking) ?

10. Does the number in your mind come before 2?

11. Does the number in your mind come before 2?