English and Logical Reasoning Prep Guide
- 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
& Find the number of triangles in the given figure?
& Find the number of triangles in the given figure?
Options
- A24
- B22
- C28
- D26
Correct answer
C. 28
Step-by-step solution
We may label the figure as shown.
The simplest triangles are AGH, GFO, LFO, DJK, EKP, PEL and IMN i.e. 7 in number.
Thus, there are 7 + 8 + 4 + 2 + 3 + 4 = 28 triangles in the figure.&
The triangles having two components each are GFL, KEL, AMO, NDP, BHN, CMJ, NEJ and HFM i.e. 8 in number.
The triangles having three components each are IOE, IFP, BIF and CEI i.e. 4 in number.
The triangles having four components each are ANE and DMF i.e. 2 in number.&
The triangles having five components each are FCK, BGE and ADL i.e. 3 in number.&
The triangles having Six components each are BPF, COE, DHF and AJE i.e. 4 in number.&
Thus, there are 7 + 8 + 4 + 2 + 3 + 4 = 28 triangles in the figure.&