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shyind
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A straight fence is to be constructed from posts 6 inches wide and sep 09 Aug 2015, 03:22
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C
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55% (hard)

Question Stats:

63% (02:19) correct 37% (02:31) wrong based on 185 sessions

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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)

A. 17
B. 28
C. 35
D. 39
E. 50
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C
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Bunuel
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A straight fence is to be constructed from posts 6 inches wide and sep 16 Aug 2015, 16:33
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shyind
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)

A. 17
B. 28
C. 35
D. 39
E. 50
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The fence begins and ends with a post: {post = 0.5 feet}{chains = 5 feet}{post = 0.5 feet}...{chains = 5 feet}{post = 0.5 feet}

The minimum length is with 2 posts = 0.5 + 5 + 0.5 = 6 feet. To increase the fence, each time we should add{post = 0.5 feet}{chains = 5 feet}, so 5.5 feet. Thus, the lengths could be:

6 feet;
6 + 5.5 = 11.5 feet;
11.5 + 5.5 = 17 feet;
17 + 5.5 = 22.5 feet;
22.5 + 5.5 = 28 feet;
28 + 5.5 = 33.5 feet;
33.5 + 5.5 = 39 feet.
...

We skipped 35 feet.

Answer: C.

Or: options A, B, D and E are in A.P. 17, 28, 39, 50 (common difference 11). 35 clearly doesn't belong to this pattern.
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A straight fence is to be constructed from posts 6 inches wide and sep 08 Mar 2017, 20:10
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shyind
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)

A. 17
B. 28
C. 35
D. 39
E. 50
Show more

As the qsn mandates that we have a post at the start and end of the fence, fence can be in format :
PCP
PCPCP
PCPCPCP, etc.

we can quickly deduce that the no. of posts would be 1 more than the no. of chains.
So, lets take #Chains = n and #Posts = (n+1)

Thus, our total length of fence = 5n + .5(n+1) feet.

Equate it with the lengths mentioned in the solution, only C doesn't satisfy.
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A straight fence is to be constructed from posts 6 inches wide and sep 12 Jul 2018, 05:31
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Bunuel
shyind
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)

A. 17
B. 28
C. 35
D. 39
E. 50

The fence begins and ends with a post: {post = 0.5 feet}{chains = 5 feet}{post = 0.5 feet}...{chains = 5 feet}{post = 0.5 feet}

The minimum length is with 2 posts = 0.5 + 5 + 0.5 = 6 feet. To increase the fence, each time we should add{post = 0.5 feet}{chains = 5 feet}, so 5.5 feet. Thus, the lengths could be:

6 feet;
6 + 5.5 = 11.5 feet;
11.5 + 5.5 = 17 feet;
17 + 5.5 = 22.5 feet;
22.5 + 5.5 = 28 feet;
28 + 5.5 = 33.5 feet;
33.5 + 5.5 = 39 feet.
...

We skipped 35 feet.

Answer: C.

Or: options A, B, D and E are in A.P. 17, 28, 39, 50 (common difference 11). 35 clearly doesn't belong to this pattern.
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Hi Bunuel,

Could you explain how you got 0.5ft for the post.
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A straight fence is to be constructed from posts 6 inches wide and sep 12 Jul 2018, 05:34
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menonrit
Bunuel
shyind
A straight fence is to be constructed from posts 6 inches wideand 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)

A. 17
B. 28
C. 35
D. 39
E. 50

The fence begins and ends with a post: {post = 0.5 feet}{chains = 5 feet}{post = 0.5 feet}...{chains = 5 feet}{post = 0.5 feet}

The minimum length is with 2 posts = 0.5 + 5 + 0.5 = 6 feet. To increase the fence, each time we should add{post = 0.5 feet}{chains = 5 feet}, so 5.5 feet. Thus, the lengths could be:

6 feet;
6 + 5.5 = 11.5 feet;
11.5 + 5.5 = 17 feet;
17 + 5.5 = 22.5 feet;
22.5 + 5.5 = 28 feet;
28 + 5.5 = 33.5 feet;
33.5 + 5.5 = 39 feet.
...

We skipped 35 feet.

Answer: C.

Or: options A, B, D and E are in A.P. 17, 28, 39, 50 (common difference 11). 35 clearly doesn't belong to this pattern.

Hi Bunuel,

Could you explain how you got 0.5ft for the post.
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Check the highlighted parts in the stem.
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A straight fence is to be constructed from posts 6 inches wide and sep 12 Jul 2018, 05:47
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Let
n = number of 1 post + 1 chain
Therefore,
n(5.5)+0.5 = possible answer

After possible answer - 0.5, see whether it is divisibl e by 5.5.
Shift decimal 1place to right, so that it can be test whether possible answer is divisible by 5 (ending in 5) AND 11(center value = sum of 1st and last digit)

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A straight fence is to be constructed from posts 6 inches wide and sep 10 Nov 2023, 01:08
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