Math puzzle that involve thought process

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Discussion Overview

The discussion revolves around a mathematical puzzle involving aliens and their fingers, focusing on the conditions set by the problem regarding the number of aliens, fingers, and hands. Participants explore the implications of the problem's wording and the assumptions that can be made based on it.

Discussion Character

  • Exploratory
  • Debate/contested
  • Mathematical reasoning

Main Points Raised

  • Some participants note that the problem states there is more than one alien and that each alien has the same number of fingers, but the number of hands is not specified.
  • One participant suggests that the problem could be misleading regarding the number of hands, implying that the mention of hands may serve to confuse the solver.
  • Another participant argues that different aliens could have varying numbers of hands and fingers, as long as the total number of fingers per alien remains consistent.
  • There is a discussion about the interpretation of the grammar in the problem, particularly whether "each alien has the same number of fingers" implies a minimum of two fingers per alien.
  • Some participants express confidence in having found the answer but refrain from sharing it, indicating that they believe the solution is straightforward once considered.

Areas of Agreement / Disagreement

Participants express differing views on the implications of the problem's wording, particularly regarding the number of hands and fingers. There is no consensus on how to interpret these aspects, and the discussion remains unresolved regarding the exact conditions that apply to the aliens.

Contextual Notes

Participants highlight that the problem does not specify the number of hands, leading to various interpretations about how this affects the total number of fingers. The assumptions about the minimum number of fingers per alien are also debated.

h0llow
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A number of aliens, who have just dropped in from another planet, emerge from the spacecraft .

(i) There is more than one alien
(ii) each alien has the same number of fingers
(iii) each alien has at least one finger on each hand.
(iv) the total number of fingers of all the aliens is between 200 and 300.
(v) if you knew the total number of fingers of all the aliens, you would know how many aliens there are.

how many aliens are there?
 
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Don't know but I'm pretty sure they landed on Yellow Pigs Day
 
Not a bad problem! But you need to add something about one or all of the aliens having more than one hand.
 
the question doesn't mention anything about how many hands the aliens have
 
h0llow said:
the question doesn't mention anything about how many hands the aliens have

If doesn't matter. Different aliens can have different numbers of hands, and each alien can have different numbers of fingers on each of their hands, so long as the total number of fingers per alien is the same.

(I got the answer, but I'm not spoling it for everybody else yet!)
 
So the mentioning of hands is there only to confuse?

And are we supposed to interpret the grammar of (ii) to mean at least two fingers?
 
Norwegian said:
And are we supposed to interpret the grammar of (ii) to mean at least two fingers?

In British and American english, (ii) means "each alien has ##n## fingers, where ##n \ge 0##".

I think the "each hand" in (iii) implies the number of hands is ##\gt 1## and therefore ##n \gt 1##.
 
A prime example of a clever problem even though the solution stares you squarely in the face ..
 
thx for replies, i got the answer..quite easy when u think about it.
 
  • #10
arildno said:
A prime example of a clever problem even though the solution stares you squarely in the face ..

Cute hint there!
 

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