What is the total number of triangles in the below figure : GMAT Problem Solving (PS)
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# What is the total number of triangles in the below figure

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Manager
Joined: 27 Jul 2011
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Kudos [?]: 213 [0], given: 103

What is the total number of triangles in the below figure [#permalink]

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23 Apr 2013, 22:48
00:00

Difficulty:

45% (medium)

Question Stats:

64% (02:05) correct 36% (00:27) wrong based on 22 sessions

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What is the total number of triangles in the below figure
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Untitled.png [ 130.7 KiB | Viewed 1224 times ]

A. 17
B. 20
C. 24
D. 27
E. 52
[Reveal] Spoiler: OA

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Last edited by Bunuel on 24 Apr 2013, 00:13, edited 1 time in total.
Edited the question.
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Re: what is the total number of triangles in the below fig [#permalink]

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23 Apr 2013, 23:34
1
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There are 1 the largest triangle formed by 16 small triangles. Total 17 triangles. There are triangles formed by 4 small triangles: 7 such triangles. And there are tiangles formed by 9 small triangles: 3 such triangles.
Total 17+7+3=27.

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Kudos [?]: 76 [0], given: 61

Re: what is the total number of triangles in the below fig [#permalink]

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24 Apr 2013, 00:26
smyarga wrote:
There are 1 the largest triangle formed by 16 small triangles. Total 17 triangles. There are triangles formed by 4 small triangles: 7 such triangles. And there are tiangles formed by 9 small triangles: 3 such triangles.
Total 17+7+3=27.

Is this a GMAT question?
Also, is there any formula/procedure to solve this question?
Tutor
Joined: 20 Apr 2012
Posts: 101
Location: Ukraine
GMAT 1: 690 Q51 V31
GMAT 2: 730 Q51 V38
WE: Education (Education)
Followers: 26

Kudos [?]: 274 [0], given: 36

Re: What is the total number of triangles in the below figure [#permalink]

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24 Apr 2013, 04:56
I don't see any problem with this task to be not a GMAT question. I think it is more than possible to solve it in 2 minutes. I don't know any formula for this problem, just the logic. If we talk about procedure I can only suggest that you should go from the smallest triangles to the largest. I attach similar problem
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File comment: Just similar problem

howmanysquares.png [ 176.67 KiB | Viewed 1123 times ]

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Kudos [?]: 11 [0], given: 8

Re: What is the total number of triangles in the below figure [#permalink]

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24 Apr 2013, 10:30
I doubt of these kind of questions are used by GMAC.

Anyways, in my opinion, questions like these require more of patience than time.

Size - No of Squares
4 - 1
3 - 4
2 - 9
1 - 18
0.5 - 8

Total - 40
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Re: What is the total number of triangles in the below figure [#permalink]

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27 Apr 2013, 04:38
smyarga wrote:
I don't see any problem with this task to be not a GMAT question. I think it is more than possible to solve it in 2 minutes. I don't know any formula for this problem, just the logic. If we talk about procedure I can only suggest that you should go from the smallest triangles to the largest. I attach similar problem

I don't think that this or the question from original post are GMAT type.
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Re: What is the total number of triangles in the below figure   [#permalink] 27 Apr 2013, 04:38
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