Which Box Holds the 0.9 Gram Beans in This Brain Teaser?

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  • Thread starter Thread starter dibilo
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Discussion Overview

The discussion revolves around a brain teaser involving ten boxes of beans, where nine boxes contain beans weighing 1 gram each and one box contains beans weighing 0.9 grams. Participants explore strategies to identify the box with the lighter beans using a single weighing.

Discussion Character

  • Exploratory, Conceptual clarification, Debate/contested

Main Points Raised

  • One participant presents the problem and the setup of the boxes and beans.
  • Another participant humorously acknowledges the quick response of a previous contributor.
  • A suggestion is made to provide answers in a way that allows others to continue working on the problem without seeing the solution immediately.
  • A participant expresses a desire to keep their answers cryptic to avoid revealing solutions prematurely.
  • One participant requests clarification on the solution, indicating confusion about the problem.
  • A vague hint is provided involving robots assigned to each box, suggesting a method to compute weights based on the assumption of uniformity among the beans, with a focus on how the total would differ if one box contains lighter beans.

Areas of Agreement / Disagreement

Participants express varying levels of understanding and engagement with the problem, with some seeking clarification while others appear to be confident in their responses. No consensus is reached on the solution or approach.

Contextual Notes

Some assumptions about the method of weighing and the implications of the results are not fully explored, leaving room for different interpretations of the problem.

Who May Find This Useful

Individuals interested in problem-solving strategies, brain teasers, and mathematical reasoning may find this discussion engaging.

dibilo
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there are 10 boxs of beans. in each box there are 10 beans. of the 10 boxes, 9 of them have beans weighing 1 gram each and the remaining one have beans weighing 0.9 grams each. the boxes are now placed side by side randomly. you can only use the weighing machine once, find out which box contains the beans that weigh 0.9 grams.
 
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1+2+3+4+5+6+7+8+9+10 = 55
:rolleyes:

-- AI
 
Damn, Tenali's fast, eh ? :wink:

Say, Tenali.

<Select below>

Why don't you write the answer down in white so others can still work on it if they don't want to see the answer.
 
Last edited:
omg tenali u again... lol guess i'll have to come up with something harder :)
 
Gokul,
I try to be as cryptic in my answer as possible so as not to give away anything and still put out a solution. Though I will keep it in mind to post in white next time i give my answers.
 
Please explain th e solution, I don't get it.

thx.
 
Vague Hint
Assume that u have 10 robots and each robot is assigned one bean box. the 10 robots are given different numbers say x_i. Each robot then just selects a bean from its corresponding bean box and computes the the product w_i*x_i ... then suppose we add up all this computed outputs ... what can we expect if
1> all w_i are same (or 1 gram as in this case)
2> one of w_i is not same (or .9 grams as in this case)

i will put out a more specific hint later but think on the above it can help u solve a lot many problems ...

-- AI
 

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