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
- A15
- B16
- C17
- D18
Correct answer
C. 17
Step-by-step solution
The figure may be labelled as shown.
The simplest triangles are ABF, BFG, BCG, CGH, GHD, GED, EFG and AFE i.e. 8 in number.
The triangles composed of two components each are ABG, BGE, AGE, ABE and GCD i.e. 5 in number.
The triangles composed of three components each are BCD, CDE, BED, and BCE i.e. 4 in number.
Thus, there are 8 + 5 + 4 = 17 triangles in the figure.
Hence, option C is correct.
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