question_answer

Count the number of squares in the given figure.

A)  10                  

B)  12

C)  18                  

D)  15

Correct Answer: D

Solution :

[d] The figure may be labeled as shown. The simplest squares are QUYX, URVY, YVSW and XYWT i.e. 4 in number. The squares composed of two components each are IMYP, MJNY, YNKO and PYOL i.e. 4 in number. The squares composed of three components each are AEYH, EBFY, YFCG and HYGD i.e. 4 in number. There is only one square i.e. QRST composed of four components. There is only one square i.e. IJKL composed of eight components. There is only one square i.e. ABCD composed of twelve components. Total number of squares in the given figure = 4 + 4 + 4 + 1 + 1 + 1 = 15