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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.

Hi Bunuel,

Could you explain how you got 0.5ft for the post.
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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.

Check the highlighted parts in the stem.
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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)

Sent from my Moto G (5) Plus using GMAT Club Forum mobile app
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