The forms design section of a city agency recommended that the sizes of forms used by the agency be limited to the sizes that can be cut with the least amount of waste from either 17" by 22" or 17"x 28" sheets. Of the following, the size that does NOT comply with this recommendation is:

A. 4.25 x 5.5
B. 3.75 x 4.25
C. 3.5 x 4.25
D. 4.25 x 2.75

I calculated the square inches of each sheet and divided by the square inches of the possible choices. I did not get the correct answer.

sheana
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Commented:
because 4.35 works for 17" all one has to worry about are the 22 or 28" we are looking for the one that does NOT fit. C does
A does (5.5x4)
d does (8x2,57)

Therefor B does NOT

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Commented:
Hmmmm....  Is this a homework problem?
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Author Commented:
No, it's a problem out a book for a civil service exam. You get the answer key but no explanations.
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Commented:
Look at the lengths rather than the square area. 17 divides quite neatly by 4.25 which appears in all the answers, so you want to find one where the other value doesn't divide nicely into 22. The one with the largest remainder is the answer.
It's about cutting out cards so you just need to line them up so they fit best into the sheet you are cutting from.
Can't edit very well as I'm on my mobile and can't scroll up to the question to check the other values, but I think I remember that A and D had values that divided exactly into 22.
Hope this helps.
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Commented:
Ah, forgot the 28". C can be cut from that one with no waste.
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Commented:
The important question is how did YOU do the math.  It's basic printing/design skills.  First thing you're taught in a print production environment.

If we assume straight cuts only, no Dutch cuts, then you get:

#A - 16-out, 0% waste out of 17x22
#B - 35-out, 9.44% waste out of 22x28
#C - 40-out, 3.41% waste out of 22x28
#D- 40-out, 8.93% waste out of 22x28;  30-out, 11.46% waste out of 18x22.

But if this was real-world:

#A wouldn't work.  No room for grippers.
#B would leave room for grippers, but no room for tail slap if it's card stock or bristol.  By the size of the form, it might be a card.
#C has the same problem as #B.
#D on 18x22 has enough room for grip and tail slap, and 3/8" on either side for trimming square.

What was the context of the problem?  Just math, or an actual job?

Real-world, they should run with #D, 30-out of an 18x22 sheet.  They trim to 21.25x16.50, assuming no bleeds.
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Author Commented:
This was just a math problem, aleghart.
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Author Commented:
Thanks for explaining it to me and for all your help.
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