Exam

English and Logical Reasoning Prep Guide

Subject

Logical Reasoning

Chapter

Counting of Figures

English and Logical Reasoning Prep Guide · Logical Reasoning · Counting of Figures

How many triangles are there in the given figure?

How many triangles are there in the given figure?

Step-by-step solution

Count the number of triangles in the upper part and take its double to get the total number of triangles.
The triangles are : $\Delta \mathrm{ABJ} ; \Delta \mathrm{IBJ} ; \Delta \mathrm{IBC} \Delta \mathrm{ICH} ; \Delta \mathrm{IJH} ; \Delta \mathrm{BJH} ; \Delta \mathrm{CHJ} ; \Delta \mathrm{CBH} ; \Delta \mathrm{BCJ} ; \Delta \mathrm{GCH} ; \Delta \mathrm{GCD} ; \Delta$ GDF; $\triangle$ GHJ; $\triangle$ CHF; $\triangle \mathrm{DFH}$; $\triangle \mathrm{DCF}$; $\Delta \mathrm{CDH} ; \triangle \mathrm{DEF} ; \Delta \mathrm{KHJ} ; \Delta \mathrm{KHF} ; \Delta \mathrm{KCA}$; $\triangle \mathrm{KCE} ; \triangle \mathrm{JAC} ; \triangle \mathrm{HBD} ; \triangle \mathrm{FCE} ; \triangle \mathrm{CJF}$; $\Delta \mathrm{KJC} ; \Delta \mathrm{KFC} ; \Delta \mathrm{KAE} ; \Delta \mathrm{KJF} ;$ Now, total number of triangles $=2 \times 30=60$