arethinn: glowing green spiral (Default)
Saw this puzzle in a book I am cataloging today and am very confused.



Which toothpick would you need to move to create two, and only two, squares?

This is multiple-choice; the answers are 8, 5, 9, or 7.

It's taken me a while of looking at it to conclude that the answer I think they want is 9 (move it to connect 7 and 1, and you have a small square in the upper left corner of a bigger one). But without looking at the answers at first, I thought 4 or 3 or 2 could work, moved to the same space (yielding two small squares stacked on top of each other, and an open figure on the right), which you can also do with 5; and similarly, 8 or 7 can be moved to bisect the right rectangle and leave the open figure on the left.

Am I just dumb (this is in an IQ test after all; I am not brilliant with this sort of spatial stuff) or is the question really misleadingly phrased? To me "two and only two squares" means "two squares, no more and no fewer" but doesn't specify anything about the other toothpicks. It seems like they may have meant "two squares and nothing else, no open ends left".

Date: Jul. 22nd, 2009 09:07 pm (UTC)From: [identity profile] twopiearr.livejournal.com
I am not faulting your logic at all - from a literal interpretation of the question your reasoning is all sound. With that said, if we go with the literal interpretation, the question as stated has 2 answers - 5 could be moved to connect 7 and 1, leaving 2 squares and some leftover, just as easily as 2-4 could. If we assume that the question can only have one correct answer from the four presented, AND we assume that we can have no toothpicks leftover, 9 becomes the only viable answer.

Date: Jul. 22nd, 2009 09:38 pm (UTC)From: [identity profile] interactiveleaf.livejournal.com
Based on a literal reading, every answer presented is potentially correct--there isn't a one of them that can't be moved to form two squares--as well as a few others.

I'd go with nine, eventually, because it's the only one that falls into the class of "leaving no open spaces"; even though the question doesn't specify that condition, when there is one answer that falls into a category by itself, I'll tend to pick it as being the one they want.

I'd still just be guessing, though. I have no confidence in my ability to suss out what people mean when they're being that imprecise.

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Arethinn

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