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Ten Box Trial (Posted on 2022-04-29) Difficulty: 2 of 5
  • There are ten boxes containing 4, 8, 27, 31, 34, 35, 44, 45, 51, and 59 balls of either red, or blue, or green in color.
  • Some boxes contain only red balls, some boxes contain only blue balls, and remaining boxes contain only green balls.
  • None of the boxes contain balls having more than one color.
One salesman sold only one box out of them and he declared, "I have the same number of red, blue, and green balls left over."

Which box is sold out?

See The Solution Submitted by K Sengupta    
Rating: 4.0000 (1 votes)

Comments: ( Back to comment list | You must be logged in to post comments.)
possible intent | Comment 4 of 10 |
I think the author must have intended that the remaining 9 boxes should add up to a multiple of 9, on the assumption that there were not only the same number of each color of ball, but also that there were three of each colored boxes.

But that was not stated in the puzzle, so 8 and 59 are both viable.

  Posted by Charlie on 2022-04-29 08:12:53
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