query: Why is the equal volume sufficient to solve the puzzle without any calculations?
positive_passages.docid: 149342
positive_passages.text: Is there a clever solution to Arnold's "merchant problem"?
negative_passages.docid: 78148
negative_passages.text: Why does the infinite prisoners and hats puzzle require the axiom of choice?
negative_passages.docid: 32181
negative_passages.text: A logic puzzle involving a balance.
negative_passages.docid: 59365
negative_passages.text: Why isn't $ SA_{\text{cube}} = 3x^2 $?
negative_passages.docid: 36478
negative_passages.text: How can I solve this problem without having to do it by hand?
negative_passages.docid: 158162
negative_passages.text: Finding the volume of the tetrahedron.
negative_passages.docid: 26671
negative_passages.text: Does this seemingly elementary question require König's theorem?
negative_passages.docid: 80004
negative_passages.text: Why is $1/i$ equal to $-i$?
negative_passages.docid: 27802
negative_passages.text: How to show this equals 1 without "calculations"
negative_passages.docid: 66524
negative_passages.text: The Impossibility ( or Possibility) of Solving $N$-Body Problem
negative_passages.docid: 98988
negative_passages.text: Logical Volume, Physical Volume and Volume Groups
negative_passages.docid: 129693
negative_passages.text: An interesting problem with "decomposing" natural numbers.
negative_passages.docid: 57969
negative_passages.text: Prove that $0$ is not an essential singularity (UW Madison Qualifying exam)
negative_passages.docid: 106445
negative_passages.text: Dr Math and his family question. How to solve without trial and error?
negative_passages.docid: 157748
negative_passages.text: Why should the equality of mixed partials be "intuitively obvious"?
negative_passages.docid: 95746
negative_passages.text: Why aren't these additions of integrals and summations equal?
negative_passages.docid: 10255
negative_passages.text: Paradoxes without self-reference?