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# If x, y, and z are the lengths of the three sides of a triangle, is y

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If x, y, and z are the lengths of the three sides of a triangle, is y  [#permalink]

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10 Nov 2018, 09:47
1
15
00:00

Difficulty:

45% (medium)

Question Stats:

56% (01:12) correct 44% (01:19) wrong based on 318 sessions

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Project DS Butler: Day 5: Data Sufficiency (DS9)

If x, y, and z are the lengths of the three sides of a triangle, is y > 4?

(1) z = x + 4
(2) x = 3 and z = 7

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Re: If x, y, and z are the lengths of the three sides of a triangle, is y  [#permalink]

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10 Nov 2018, 10:01
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gmatbusters wrote:

Project DS Butler: Day 5: Data Sufficiency (DS9)

If x, y, and z are the lengths of the three sides of a triangle, is y > 4?

(1) z = x + 4
(2) x = 3 and z = 7

Here we use the property of triangle that sum of any 2 sides has to be greater than the third side.

Statement 1 Three sides of triangle are x, y, x+4
Since sum of any 2 sides has to be greater than third side,
$$x+y>x+4$$
y>4. Hence, Statement 1 is SUFFICIENT

Statement 2 Sides of triangle are 3, y, 7
$$3+y>7$$
y>4. Hence Statement 2 is SUFFICIENT

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##### General Discussion
Intern
Joined: 17 Jan 2019
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If x, y, and z are the lengths of the three sides of a triangle, is y  [#permalink]

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17 Jan 2019, 07:45
Condition of triangle;
|x-z|<y<x+z

(1)z=x+4
|x-z|=|x-(x+4)|=4
4<y

(2)x=3, y=7
|x-z|=|3-7|=4
4<y

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If x, y, and z are the lengths of the three sides of a triangle, is y   [#permalink] 17 Jan 2019, 07:45
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