Posted 26 Mar 2013 · Report post I am thinking about one number, it's 9, 99 or 999. You can ask one question to me on which I can answer yes or no to find out what number I'm thinking of. What question do you have to ask? Anyone know the answer? 1 Share this post Link to post Share on other sites

0 Posted 26 Mar 2013 · Report post Are you a number greater than 9 and less than 999? 0 Share this post Link to post Share on other sites

0 Posted 26 Mar 2013 · Report post But If the number would be 9 or 999, the answer to your question would be 'no'. So you would only find out if the number is 99 0 Share this post Link to post Share on other sites

0 Posted 26 Mar 2013 (edited) · Report post Question: Do you write the number with a comma? Edited 26 Mar 2013 by emmybean 0 Share this post Link to post Share on other sites

0 Posted 26 Mar 2013 · Report post There are no comma's in the numbers themselves 0 Share this post Link to post Share on other sites

0 Posted 26 Mar 2013 · Report post How many digits are there in the number? or What number are you thinking of? or What would you get if you multiply it by 1 or What would you get if you add one/sutractone/divide by one, etc. 0 Share this post Link to post Share on other sites

0 Posted 26 Mar 2013 · Report post Will your response contain the same number of letters as the number's digits? yes - 999 no - 9 (no answer) - 99 0 Share this post Link to post Share on other sites

0 Posted 26 Mar 2013 (edited) · Report post if you deduct 7, will the remainder be a prime number? Edited 26 Mar 2013 by razmanugget 0 Share this post Link to post Share on other sites

0 Posted 27 Mar 2013 · Report post Will your response contain the same number of letters as the number's digits? yes - 999 no - 9 (no answer) - 99 But as phrased, if the number were 999 a response of either 'yes' or 'no' is equally valid. However, clearly, we need a question that can give 3 different types of responses, a yes, a no, or a lack of response... I would ask: what answer has as many letters as digits in the number you are thinking of? If "Yes" the number is 999, if "No" it is 99; silence implies it is 9. 0 Share this post Link to post Share on other sites

0 Posted 27 Mar 2013 · Report post THis cannot be possible, if there are 2 responses you can at most reduce it down to 2 of the 3 possible answers. 1 Share this post Link to post Share on other sites

0 Posted 27 Mar 2013 · Report post THis cannot be possible, if there are 2 responses you can at most reduce it down to 2 of the 3 possible answers. What about impossible to respond? That is the third possibility. 0 Share this post Link to post Share on other sites

0 Posted 27 Mar 2013 · Report post 1st of all, we must understand that we need to ask him questions that could contain only yes or no as answers, not questions like 'What number are you thinking of?' See if this solution is logically correct.. Write down the numbers 9, 99 and 999 in 3 different pieces of paper.. Beneath the no 9, write down the question "Is 1<2?" Beneath the no 99, write down "Is 1>2?" Beneath 999, write down any question for which the person cannot answer a yes or a no with confidence, such as "Will South Africa win the next cricket World Cup?" Now showing these 3 pieces of paper, ask the person, "Is the answer to the question beneath the number in your mind 'yes'?" Interpretation of his answers: Yes-9; No-99; Dont know/Cant say-999.. 0 Share this post Link to post Share on other sites

0 Posted 27 Mar 2013 · Report post Is 90 / (your_number - 9) = 1? 0 Share this post Link to post Share on other sites

0 Posted 27 Mar 2013 · Report post Will your response contain the same number of letters as the number's digits? yes - 999 no - 9 (no answer) - 99 But as phrased, if the number were 999 a response of either 'yes' or 'no' is equally valid. However, clearly, we need a question that can give 3 different types of responses, a yes, a no, or a lack of response... I would ask: what answer has as many letters as digits in the number you are thinking of? If "Yes" the number is 999, if "No" it is 99; silence implies it is 9. Could you provide a truthful response which contains the same number of letters as the number's digits? yes - 999 no - 9 (no answer) - 99 0 Share this post Link to post Share on other sites

0 Posted 27 Mar 2013 · Report post Will your response contain the same number of letters as the number's digits? yes - 999 no - 9 (no answer) - 99 But as phrased, if the number were 999 a response of either 'yes' or 'no' is equally valid. However, clearly, we need a question that can give 3 different types of responses, a yes, a no, or a lack of response... I would ask: what answer has as many letters as digits in the number you are thinking of? If "Yes" the number is 999, if "No" it is 99; silence implies it is 9. Could you provide a truthful response which contains the same number of letters as the number's digits? yes - 999 no - 9 (no answer) - 99 If he says "Yes", the number might be either 999 or 99, because the truthful response he could have provided might have been either "Yes" or "No". 0 Share this post Link to post Share on other sites

0 Posted 28 Mar 2013 · Report post Will your response contain the same number of letters as the number's digits? yes - 999 no - 9 (no answer) - 99 But as phrased, if the number were 999 a response of either 'yes' or 'no' is equally valid. However, clearly, we need a question that can give 3 different types of responses, a yes, a no, or a lack of response... I would ask: what answer has as many letters as digits in the number you are thinking of? If "Yes" the number is 999, if "No" it is 99; silence implies it is 9. Could you provide a truthful response which contains the same number of letters as the number's digits? yes - 999 no - 9 (no answer) - 99 If he says "Yes", the number might be either 999 or 99, because the truthful response he could have provided might have been either "Yes" or "No". (for 99) He couldn't provide any response as they (1) wouldn't be truthful or (2) wouldn't contain an equitable number of letters to digits. 0 Share this post Link to post Share on other sites

0 Posted 28 Mar 2013 · Report post (for 99) He couldn't provide any response as they (1) wouldn't be truthful or (2) wouldn't contain an equitable number of letters to digits. If my number is 99, and you ask whether I could provide an answer with as many letters as digits in my number, my truthful response would be "Yes" because I could provide such an answer (the fact that said answer is actually "No" doesn't matter). 0 Share this post Link to post Share on other sites

0 Posted 25 Apr 2013 · Report post first you have to subtract 7 from 999 and you get 992 but what i did is i divided 999/7 and got 142 with a remainder of 5 and then i multiplyed it then added 5 and got 999. 0 Share this post Link to post Share on other sites

0 Posted 25 Apr 2013 · Report post first you have to subtract 7 from 999 and you get 992 but what i did is i divided 999/7 and got 142 with a remainder of 5 and then i multiplyed it then added 5 and got 999. Hi w10, and welcome to the Den. Hope you enjoy solving puzzles here and posting some of your own. You have a certain "outside the box" approach to solving them. 0 Share this post Link to post Share on other sites

Posted · Report post

I am thinking about one number, it's 9, 99 or 999. You can ask one question to me on which I can answer yes or no to find out what number I'm thinking of. What question do you have to ask?

Anyone know the answer?

## Share this post

## Link to post

## Share on other sites