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A straight fence is to be constructed from posts 6 inches wide and sep

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A straight fence is to be constructed from posts 6 inches wide and sep  [#permalink]

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New post 09 Aug 2015, 03:22
2
6
00:00
A
B
C
D
E

Difficulty:

  55% (hard)

Question Stats:

66% (01:50) correct 34% (02:23) wrong based on 97 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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Posts: 49328
Re: A straight fence is to be constructed from posts 6 inches wide and sep  [#permalink]

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New post 16 Aug 2015, 16:33
2
1
shyind wrote:
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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Re: A straight fence is to be constructed from posts 6 inches wide and sep  [#permalink]

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New post 08 Mar 2017, 20:10
1
shyind wrote:
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


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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Re: A straight fence is to be constructed from posts 6 inches wide and sep  [#permalink]

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New post 12 Jul 2018, 05:31
Bunuel wrote:
shyind wrote:
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.


Hi Bunuel,

Could you explain how you got 0.5ft for the post.
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Posts: 49328
Re: A straight fence is to be constructed from posts 6 inches wide and sep  [#permalink]

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New post 12 Jul 2018, 05:34
menonrit wrote:
Bunuel wrote:
shyind wrote:
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.


Check the highlighted parts in the stem.
_________________

New to the Math Forum?
Please read this: Ultimate GMAT Quantitative Megathread | All You Need for Quant | PLEASE READ AND FOLLOW: 12 Rules for Posting!!!

Resources:
GMAT Math Book | Triangles | Polygons | Coordinate Geometry | Factorials | Circles | Number Theory | Remainders; 8. Overlapping Sets | PDF of Math Book; 10. Remainders | GMAT Prep Software Analysis | SEVEN SAMURAI OF 2012 (BEST DISCUSSIONS) | Tricky questions from previous years.

Collection of Questions:
PS: 1. Tough and Tricky questions; 2. Hard questions; 3. Hard questions part 2; 4. Standard deviation; 5. Tough Problem Solving Questions With Solutions; 6. Probability and Combinations Questions With Solutions; 7 Tough and tricky exponents and roots questions; 8 12 Easy Pieces (or not?); 9 Bakers' Dozen; 10 Algebra set. ,11 Mixed Questions, 12 Fresh Meat

DS: 1. DS tough questions; 2. DS tough questions part 2; 3. DS tough questions part 3; 4. DS Standard deviation; 5. Inequalities; 6. 700+ GMAT Data Sufficiency Questions With Explanations; 7 Tough and tricky exponents and roots questions; 8 The Discreet Charm of the DS; 9 Devil's Dozen!!!; 10 Number Properties set., 11 New DS set.


What are GMAT Club Tests?
Extra-hard Quant Tests with Brilliant Analytics

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Joined: 26 Apr 2017
Posts: 31
Re: A straight fence is to be constructed from posts 6 inches wide and sep  [#permalink]

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New post 12 Jul 2018, 05:47
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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Re: A straight fence is to be constructed from posts 6 inches wide and sep &nbs [#permalink] 12 Jul 2018, 05:47
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