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# In the figure above, what is the length of AC ?

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In the figure above, what is the length of AC ?  [#permalink]

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Updated on: 31 Oct 2018, 22:07
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Difficulty:

5% (low)

Question Stats:

86% (00:45) correct 14% (01:01) wrong based on 85 sessions

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In the figure above, what is the length of AC ?

(1) x + y = 13

(2) xy = 36

Attachment:

length.jpg [ 13.34 KiB | Viewed 1045 times ]

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Originally posted by carcass on 31 Oct 2018, 10:04.
Last edited by Bunuel on 31 Oct 2018, 22:07, edited 1 time in total.
EDITED.
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Re: In the figure above, what is the length of AC ?  [#permalink]

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31 Oct 2018, 10:13
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carcass wrote:
Attachment:
length.jpg

In the figure above, what is the length of AC ?

1. x + y = 13

2. xy=36

1. AC= 2(x+y) =2*13 = 26 Suff
2. If xy=36, x,y have diff possible pair if they are strictly integers e.g., (1,36),(2,18) etc ..... if we consider non-integers there will be more e.g., $$(\frac{36}{7} , 7)$$, $$(\frac{36}{11},11)$$.... etc..... so x+y will be having varied results for each pair. --Not Suff .......................Thus Ans A
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Re: In the figure above, what is the length of AC ?  [#permalink]

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22 Jul 2019, 18:53
AC = 2x +2y
(AC/2) = x+y

Statement 1
x+y=13 -->sufficient

statement 2
xy = 36
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Re: In the figure above, what is the length of AC ?  [#permalink]

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22 Jul 2019, 19:21
Length of AC = 2(x + y)

Statement 1) x + y = 13
Length of AC = 26. SUFFICIENT

Statement 2) xy = 36
Here x and y can take many values such as (1,36) , (2,18) , (3,12), etc. For each set a unique value of 2(x + y) is obtained. So INSUFFICIENT.

OPTION: A
Re: In the figure above, what is the length of AC ?   [#permalink] 22 Jul 2019, 19:21
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