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husnain

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From: Chichawatni,Pakistan

Registered: 2014-10-03

Posts: 8,129

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Length Of The Fence:

Question:
A straight fence is to be constructed from posts 6 inches wide and separated by lengths of chain 5 feet long. If a certain fence begins and ends with a post, which of the following could not be the length of the fence in feet? (12 inches = 1 foot)

Option A):
39
Option B):
54
Option C):
35
Option D):
50

Correct Answer is Option C):
35

Explanation:
The fence will consist of one more post than there are chains. (e.g. P-c-P-c-P).
Therefore, a total length has to be a multiple of the length of the chain plus one post (5.5) plus one post extra.We have length = (5.5n + 0.5), where n can be any positive whole number. If n= 3, length =17; if n= 5, length = 28, etc.but there is no whole number that can give 35. hence C is the correct answer.

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