Analytical Reasoning

Q1: Find the number of triangles in the given figure.

A 10

B 12

C 14

D 16

ANS:C - 14

The figure may be labelled as shown. The simplest triangles are ABJ, ACJ, BDH, DHF, CIE and GIE i.e. 6 in number. The triangles composed of two components each are ABC, BDF, CEG, BHJ, JHK, JKI and CJI i.e. 7 in number. There is only one triangle JHI which is composed of four components. Thus, there are 6 + 7 + 1 = 14 triangles in the given figure.

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