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 figure PQRS ?

How many triangles are there in the figure PQRS ?

Step-by-step solution

First of all label the given diagram :
The triangles are : $\triangle \mathrm{PED} ; \quad \triangle \mathrm{PEA} ; \quad \triangle \mathrm{AEQ} ; \quad \triangle \mathrm{QEB} ;\triangle \mathrm{BER} ; \quad \triangle \mathrm{CER} ; \quad \triangle \mathrm{CES} ; \quad \triangle \mathrm{DES} ;\triangle \mathrm{PES} ; \quad \triangle \mathrm{SER} ; \quad \triangle \mathrm{REQ} ; \quad \triangle \mathrm{PEQ} ;\triangle P S R ; \quad \triangle Q R S ; \quad \triangle P Q R ; \quad \triangle P Q S$ Thus, there are 16 triangles.