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Can you guess what is his room number ?

–1 vote
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It was the first day of our second semester and we were looking for our hostel room numbers allotted, we saw that one of our friend was already allotted the room number last night and he challenged us to guess his new room number. We gave following answers

135, 780, 785 and 732.

He said, “That’s amazing”, “You’ve each guessed exactly one digit correctly and in its right place!”
Now can you guess what is his room number ?

posted May 15, 2014 by Pushpak Chauhan

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2 Solutions

+4 votes

For first digit there is just one option '1' as other three no's start with 7
The second digit can't be 3 (there is EXACTLY one digit correct in all answers) otherwise the first guess will have two digits correct; so second digit is '8'
Going with this same logic last digit cannot be '5' or '0'; so its '2'
Hence the answer is 182

solution May 15, 2014 by Priyaa Trippayar Sahasranaman
you excelled yourself!
0 votes

Answer:
182
For first digit there is just one option '1' as other three no's start with 7
The second digit can't be 3 (there is EXACTLY one digit correct in all answers) otherwise the first guess will have two digits correct; so second digit is '8'
Going with this same logic last digit cannot be '5' or '0'; so its '2'
Hence the answer is 182

solution Oct 9 by Mogadala Ramana



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Starting with any number at all, I can always reduce it to 4 by applying a consistent rule. 4 is the magic number.
Example: 100. 100 is 10, 10 is 3, 3 is 5, 5 is 4, and 4 is the magic number.
Another Example: 52. 52 is 8, 8 is 5, 5 is 4, 4 is the magic number.
Find out what is the rule?

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