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# A carpenter has to build

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Intern
Joined: 15 Aug 2013
Posts: 41
A carpenter has to build  [#permalink]

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06 Jun 2018, 01:53
Question: A carpenter has to build 71 wooden boxes in one week. He can build as many per day as he wants but he has decided that the number of boxes he builds on any one day should be within 4 off the number he builds on any other day.

(A) What is the least number of boxes that he could have build on Saturday?

(B) What is the greatest number of boxes that he could have build on Saturday?

Source:Veritas prep
Intern
Joined: 27 May 2018
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Re: A carpenter has to build  [#permalink]

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14 Apr 2019, 05:23
abhinashgc wrote:
Question: A carpenter has to build 71 wooden boxes in one week. He can build as many per day as he wants but he has decided that the number of boxes he builds on any one day should be within 4 off the number he builds on any other day.

(A) What is the least number of boxes that he could have build on Saturday?

Ans-7 nos ( 11,11,11,11,11,9,7)

minimum no of boxes he can build is 7 nos as anything less will increase the highest no of boxes to be made above range of 4.

(B) What is the greatest number of boxes that he could have build on Saturday?

Ans- 13 nos ( 10,10,10,10,9,9,13)

same for maximum range.

Source:Veritas prep

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Re: A carpenter has to build   [#permalink] 14 Apr 2019, 05:23
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