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# In the following picture, how many pieces can be pasted when the shape

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Math Revolution GMAT Instructor
Joined: 16 Aug 2015
Posts: 8243
GMAT 1: 760 Q51 V42
GPA: 3.82
In the following picture, how many pieces can be pasted when the shape  [#permalink]

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13 Nov 2019, 00:49
1
2
00:00

Difficulty:

65% (hard)

Question Stats:

52% (02:23) correct 48% (01:17) wrong based on 33 sessions

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[GMAT math practice question]

In the following picture, how many pieces can be pasted when the shapes shown on the left are pasted as shown on the right?

Attachment:

11.13ps.png [ 20.29 KiB | Viewed 504 times ]

A. $$4$$

B. $$6$$

C. $$8$$

D. $$10$$

E. $$12$$

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MathRevolution: Finish GMAT Quant Section with 10 minutes to spare
The one-and-only World’s First Variable Approach for DS and IVY Approach for PS with ease, speed and accuracy.
"Only $79 for 1 month Online Course" "Free Resources-30 day online access & Diagnostic Test" "Unlimited Access to over 120 free video lessons - try it yourself" VP Joined: 19 Oct 2018 Posts: 1158 Location: India Re: In the following picture, how many pieces can be pasted when the shape [#permalink] ### Show Tags 13 Nov 2019, 14:43 Basically, we'll get a regular polygon with interior angle = 360-105-105= 150 (n-2)*180 = n* 150 n=12 MathRevolution wrote: [GMAT math practice question] In the following picture, how many pieces can be pasted when the shapes shown on the left are pasted as shown on the right? Attachment: 11.13ps.png A. $$4$$ B. $$6$$ C. $$8$$ D. $$10$$ E. $$12$$ Math Revolution GMAT Instructor Joined: 16 Aug 2015 Posts: 8243 GMAT 1: 760 Q51 V42 GPA: 3.82 Re: In the following picture, how many pieces can be pasted when the shape [#permalink] ### Show Tags 15 Nov 2019, 01:45 1 => When we put two trapezoids together as follows, we have $$∠x = 360° - 2*105° = 75°$$ and $$∠BAC = 30°.$$ Attachment: 11.13ps(a).png [ 14.78 KiB | Viewed 327 times ] Since $$\frac{360°}{30°} = 12$$, we can put in $$12$$ triangles or $$12$$ trapezoids. Therefore, E is the answer. Answer: E _________________ MathRevolution: Finish GMAT Quant Section with 10 minutes to spare The one-and-only World’s First Variable Approach for DS and IVY Approach for PS with ease, speed and accuracy. "Only$79 for 1 month Online Course"
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Joined: 20 Aug 2017
Posts: 55
Re: In the following picture, how many pieces can be pasted when the shape  [#permalink]

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20 Nov 2019, 02:15
As we can see from the sample figure, it forms a regular polygon with an internal angle of 150 degrees.

(n-2)*180 = 150*n.
On solving we get n = 12.

OA - E

MathRevolution wrote:
[GMAT math practice question]

In the following picture, how many pieces can be pasted when the shapes shown on the left are pasted as shown on the right?

Attachment:
11.13ps.png

A. $$4$$

B. $$6$$

C. $$8$$

D. $$10$$

E. $$12$$
Intern
Joined: 24 Mar 2018
Posts: 10
Re: In the following picture, how many pieces can be pasted when the shape  [#permalink]

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21 Nov 2019, 06:01
75*2 = 150 = 180*(n-2)/n
Hence, n = 12
Re: In the following picture, how many pieces can be pasted when the shape   [#permalink] 21 Nov 2019, 06:01
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