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Another Triangle question - Kaplan - 700+

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by imhimanshu » Sun Sep 11, 2011 6:40 am
IF the sides of the triangle have lengths x,y and z,x+y =30 and y+z = 20, then which of the following could be the perimeter of the triangle.
1- 28
2- 36
3- 42
options are -
a)1 only
b)2 only
c)1 and 2 only
d)1 and 3 only
e)1,2 and 3 only
OA to follow
Thanks
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Source: — Problem Solving |

by GMATGuruNY » Sun Sep 11, 2011 8:03 am
imhimanshu wrote:IF the sides of the triangle have lengths x,y and z,x+y =30 and y+z = 20, then which of the following could be the perimeter of the triangle.
1- 28
2- 36
3- 42
options are -
a)1 only
b)2 only
c)1 and 2 only
d)1 and 3 only
e)1,2 and 3 only
OA to follow
Thanks
I: x+y+z = 28.
Since x+y=30, it is not possible that x+y+z = 28.
Eliminate any answer choice that includes I.
Eliminate A,C,D and E.

The correct answer is B.
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by sl750 » Sun Sep 11, 2011 9:15 am
Both options 2 and 3 are possible. Are those answer choices correct?
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by GMATGuruNY » Sun Sep 11, 2011 11:12 am
sl750 wrote:Both options 2 and 3 are possible. Are those answer choices correct?
Option III is not possible.
IF the sides of the triangle have lengths x,y and z,x+y =30 and y+z = 20, then which of the following could be the perimeter of the triangle.
1- 28
2- 36
3- 42
The third side of a triangle must be less than the sum of the other 2 sides.

III: x+y+z = 42
Since x+y=30, z=12.
Since z=12 and y+z=20, y=8.
Since y=8 and x+y=30, x=22.
Thus, the 3 sides are x=22, y=8, and z=12.
Such a triangle is not possible.
Given that y+z=20, the third side (x) must be less than 20.
Thus, it is not possible that x=22.
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Followed here and elsewhere by over 1900 test-takers.
I have worked with students based in the US, Australia, Taiwan, China, Tajikistan, Kuwait, Saudi Arabia -- a long list of countries.
My students have been admitted to HBS, CBS, Tuck, Yale, Stern, Fuqua -- a long list of top programs.

As a tutor, I don't simply teach you how I would approach problems.
I unlock the best way for YOU to solve problems.

For more information, please email me (Mitch Hunt) at [email protected].
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