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Fraction - Board

Expert replies
by pullagurla » Wed Jul 14, 2010 9:50 am
A certain type of board is sold only in lengths of multiples of 4 feet . the shortest board sold is 12 feet and the longest board is 48 feet .a builder need a large quantity of this type of board in 11/2 foot lengths . For minimum wastage , what lengths should he order ?
a.22
b.36
c.40
d.44
e.48

Please Explain :)
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Source: — Problem Solving |

by Patrick_GMATFix » Wed Jul 14, 2010 10:04 am
This doesn't 'feel' like a GMAT question. The wording, especially the last two sentences feel off. Where is the question from please?

Anyway if the builder needs 11/2 ft lengths he should order 44ft lengths. This is because 11/2 44/8. If the builder orders 44ft lengths and cuts them in eigths, each length will be 44/8 = 11/2 feet long

-Patrick
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by indiantiger » Fri Jul 16, 2010 8:52 am
11/2 = 5.5 ft

a.22 ( he can get 4, 5.5 ft board with 0 wastage)
b.36 (he can get 6, 5.5 ft board with 3 ft board wasted)
c.40 (he can get 7, 5.5 ft board with 1.5 ft wasted)
d.44 ( he can get 8, 5,5 ft board with 0 wastage) (answer)
e.48 ( he can get 8, 5,5 ft board with 4 ft wasted)
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