question_answer

Identify the number of squares in the figure given.

A)  22                         

B)  20      

C)  18                         

D)  14

Correct Answer: C

Solution :

The figure may be labelled as shown. The squares composed of two components each are BJMI, CKMJ, DLMK and AIML i.e. 4 in number. The squares composed of three components each are EBMA, BFCM, MCGD and AMDH i.e. 4 in number. The squares composed of four components each are VWBA, XYCB, ZA, DC and B, C, AD i.e. 4 in number. The squares composed of seven components each are NOJL, PQKI, RSU and TUIK i.e. 4 in number. There is only 'one square i.e. ABCD composed of eight components. There is only one square i.e. EFGH composed of twelve components. \[\therefore \]Total number of squares in the figure \[=\text{4}+\text{4}+\text{4}+\text{4}+\text{1}+\text{1}=\text{8}\]