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Quite a coincidence (Posted on 2018-01-19) Difficulty: 2 of 5
"It's unbelievable!" exclaimed Jerry facing his three friends Adam, Dan and Betty.
"I've asked you to tell me independently each a 4-digit number and after a while, I'm happy to announce that if any of you will divide their number by mine you will end up with the same remainder! "
Now that you know it I'm sure that you will be able jointly to figure the value of my number...- of course it will be the largest of the qualifying candidate answers...

Adam: It could not be true for any three non-related 4-digit numbers!
Betty: You were extremely lucky to find such a special number!
Dan: And now we will be able to calculate the value of your number!

Indeed, Adam(2479), Betty(6181), and Dan(8649), after a not-so-long brainstorming session successfully restored Jerry's number.

a. What was it?
b. d4 bonus question:
What's the probability of Jerry "success" with 3 RANDOMLY CHOSEN
three 4-digits numbers.
Provide your estimate, listing your assumptions and reasoning.

No Solution Yet Submitted by Ady TZIDON    
Rating: 3.0000 (1 votes)

Comments: ( You must be logged in to post comments.)
  Subject Author Date
re: proposed solutionSteve Herman2018-01-19 19:59:20
Solutionproposed solutionCharlie2018-01-19 11:41:55
Questionre: Part B (spoiler)Ady TZIDON2018-01-19 10:50:39
Part B (spoiler)Steve Herman2018-01-19 10:13:57
re: Part A onlySteve Herman2018-01-19 09:47:52
Part A onlyJer2018-01-19 07:39:52
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