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# M70-12

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Math Expert
Joined: 02 Sep 2009
Posts: 53020

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03 Sep 2018, 02:44
00:00

Difficulty:

25% (medium)

Question Stats:

85% (00:54) correct 15% (00:09) wrong based on 13 sessions

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In the figure above, if $$x < y < z$$, which of the following must be true?

A. $$BC < AB$$
B. $$AC < BC$$
C. $$BC > AB$$
D. $$AC > AB$$
E. None of the above must be true.

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Math Expert
Joined: 02 Sep 2009
Posts: 53020

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03 Sep 2018, 02:44
Official Solution:

In the figure above, if $$x < y < z$$, which of the following must be true?

A. $$BC < AB$$
B. $$AC < BC$$
C. $$BC > AB$$
D. $$AC > AB$$
E. None of the above must be true.

We’ll go for LOGICAL because there is a specific logical rule we can use.

We know that in a triangle, the shortest/longest/middle side is opposite the smallest/largest/mid-sized angle, respectively. So, $$BC < AC < AB$$. (A) must be true.

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Joined: 11 Mar 2018
Posts: 6

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07 Sep 2018, 05:58
Hi, Mustn't all be true except (C)?
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Joined: 08 Jun 2013
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Location: France
Schools: INSEAD Jan '19
GMAT 1: 200 Q1 V1
GPA: 3.82
WE: Consulting (Other)

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07 Sep 2018, 18:19
1
Bunuel wrote:
Official Solution:

In the figure above, if $$x < y < z$$, which of the following must be true?

A. $$BC < AB$$
B. $$AC > BC$$
C. $$BC > AB$$
D. $$AC < AB$$
E. None of the above must be true.

We’ll go for LOGICAL because there is a specific logical rule we can use.

We know that in a triangle, the shortest/longest/middle side is opposite the smallest/largest/mid-sized angle, respectively. So, $$BC < AC < AB$$. (A) must be true.

Hey Bunuel

Pl check Both option A) and B) are correct.
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Math Expert
Joined: 02 Sep 2009
Posts: 53020

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08 Sep 2018, 00:15
Harshgmat wrote:
Bunuel wrote:
Official Solution:

In the figure above, if $$x < y < z$$, which of the following must be true?

A. $$BC < AB$$
B. $$AC > BC$$
C. $$BC > AB$$
D. $$AC < AB$$
E. None of the above must be true.

We’ll go for LOGICAL because there is a specific logical rule we can use.

We know that in a triangle, the shortest/longest/middle side is opposite the smallest/largest/mid-sized angle, respectively. So, $$BC < AC < AB$$. (A) must be true.

Hey Bunuel

Pl check Both option A) and B) are correct.

Edited. Thank you.
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Re: M70-12   [#permalink] 08 Sep 2018, 00:15
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# M70-12

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