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12.
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Find
the number of triangles in the given figure.
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Answer: Option D
Explanation:
The figure may be labelled as shown.
The simplest triangles are ABL, BCD, DEF,
FGP, PGH, QHI, JQI, KRJ and LRK i.e. 9 in number.
The triangles composed of two components each
are OSG, SGQ, SPI, SRI, KSQ, KMS, FGH, JHI and JKL i.e. 9 in number.
There is only one triangle i.e. KSG which is
composed of four components.
The triangles composed of five components
each are NEI, ANI, MCG and KCO i.e. 4 in number.
The triangles composed of six components each
are GMK and KOG i.e. 2 in number.
There is only one triangle i.e. AEI composed
of ten components.
There is only one triangle i.e. KCG composed
of eleven components.
Therefore, Total number of triangles in the
given figure = 9 + 9+1 + 4 + 2+1 + 1 = 27.
Title :
Analytical Reasoning Q12
Description : 12. Find the number of triangles in the given figure. A. 21 B. ...
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