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# Exactly one-half of the 36 smallest triangles in the figure above are

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Math Expert
Joined: 02 Sep 2009
Posts: 49496
Exactly one-half of the 36 smallest triangles in the figure above are  [#permalink]

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02 Oct 2017, 01:11
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Question Stats:

72% (01:38) correct 28% (01:06) wrong based on 24 sessions

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Exactly one-half of the 36 smallest triangles in the figure above are to be shadedl, including the one shown. If no two shaded triangles have a common side, which of the lettered triangles must be shaded?

(A) A
(B) B
(C) C
(D) D
(E) E

Attachment:

2017-10-02_1209.png [ 18.86 KiB | Viewed 625 times ]

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Re: Exactly one-half of the 36 smallest triangles in the figure above are  [#permalink]

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02 Oct 2017, 01:52
D is my take. Imagined shaded regions and solved from left to right.

I don't see this as any formula related. If any, kindly let us know.
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Exactly one-half of the 36 smallest triangles in the figure above are  [#permalink]

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02 Oct 2017, 07:43
Bunuel wrote:

Exactly one-half of the 36 smallest triangles in the figure above are to be shadedl, including the one shown. If no two shaded triangles have a common side, which of the lettered triangles must be shaded?

(A) A
(B) B
(C) C
(D) D
(E) E

Attachment:
2017-10-02_1209.png

I agree that the answer is D. I tried rows and columns.

Whether you work left to right (for me L->R, R-L, L-R) or top to bottom (T->B, B-T, T-B), triangle D must be shaded.
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Exactly one-half of the 36 smallest triangles in the figure above are &nbs [#permalink] 02 Oct 2017, 07:43
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# Exactly one-half of the 36 smallest triangles in the figure above are

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