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
- A22
- B24
- C26
- D28
Correct answer
B. 24
Step-by-step solution
We may label the figure as shown.
The simplest triangles are IJO, BCJ, CDK, KQL, MLQ, GFM, GHN and NIO i.e. 8 in number.
The triangles composed of two components each are ABO, AHO, NIJ, IGP, ICP, DEQ, FEQ, KLM, LCP and LGP i.e. 10 in number.&
The triangles composed of four components each are HAB, DEF, LGI, GIC, ICL and CLG i.e. 6 in number.&
∴& Total number of trianngles in the figure = 8 + 10 + 6 = 24.&
Hence, option B is correct.
Hence, option B is correct.