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
- A27
- B25
- C23
- D21
Correct answer
A. 27
Step-by-step solution
The figure may be labelled as shown.
The simplest triangles are GLK, DLJ, DJM, HMN, QRE, IRA, IPA and FPO i.e. 8 in number.&
The triangle having two components each are BDO, CDQ, DLM, PRA, KFI, NEI, HJI, GJI, DKI and DNI i.e. 10 in number.
The triangles having four components each are DIE, DFI, DOA, DQA and GHI i.e. 5 in number.
The triangles having six components each are DCA and DBA i.e. 2 in number.
DEF is the only triangle having eight components.
ABC is the only triangle having twelve components.
Thus, there are 8 + 10 + 5 + 2 + 1 + 1 =27 triangles in the figure.&
Hence, option A is correct.
Hence, option A is correct.