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 Quite a coincidence (Posted on 2018-01-19)
"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.

Comments: ( Back to comment list | You must be logged in to post comments.)
 re: Part B (spoiler) | Comment 4 of 6 |
(In reply to Part B (spoiler) by Steve Herman)

- Both solvers provided accurate answers, but missed the bottom line:

Was it coincidence?
Or  -  "after a while" gave Jerryv the time to provide "his number"? What is the probability of tailoring such number
"for  RANDOMLY CHOSEN three 4-digits numbers"?

 Posted by Ady TZIDON on 2018-01-19 10:50:39

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