question_answer

Count the number of squares in the figure.

A)  12                                         

B)  13

C)  16                         

D)         17

Correct Answer: D

Solution :

The figure may be labelled as shown. The simplest squares are QVYU, VRWY, YWSX and UYXT i.e. 4 in number. The squares composed of four components each are IMYP, MJNY, YNKO, PYOL and QRST i.e. 5 in number. The squares composed of seven components each are AEYH, EBFY, YFCG and HYGD i.e. 4 in number. The only square composed of twelve components is MNOP. There is only one square i.e. IJKL composed of sixteen components. There is only one square i.e. EFGH composed of twenty-four components. There is only one square i.e. ABCD which is composed of twenty-eight components. Thus, there are \[\text{4}+\text{5}+\text{4}+\text{1}+\text{1}+\text{1}+\text{1}=\text{17}\] squares in the given figure.