question_answer

How many squares are there in the following figure?

A) 13                                

B) 14

C) 15                                

D) 16

Correct Answer: C

Solution :

The figure in the question may by labelled as shown in the figure below.

In the inner most square, there are five squares namely \[\square \,IXZU\], \[\square \,UZVJ\],\[\square \,XKWZ\],\[\square \,ZWLV\]and \[\square \,IJLK\]In the middle square there are five squares namely \[\square \,ETZQ\], \[\square \,QZRF\], \[\square \,TZSG\],\[\square \,ZSHR\] and \[\square \,EGHF.\] In the outer most square most square there are five squares namely \[\square \,APZM\], \[\square \,MZNB\], \[\square \,PDOZ\], \[\square \,ZOCN\]and \[\square \,ABCD\]

\[\therefore \] Total number of squares = 5 + 5 + 5 = 15