question_answer

How many squares are there in the following figure?

A)  24                               

B)  25   

C)  26                               

D)  27

Correct Answer: C

Solution :

[c]

There are five squares in the upper row of the main figure namely\[\square AEQM\],\[\square EGRQ\],\[\square GISR\], \[\square IKTS\], \[\square KBNT.\]

Hence, there are fifteen squares, five in each row of the main figure.

Similarly, there are total eight squares\[-\]Four in each bigger row formed by combining two rows at a time of the main figure i.e. \[\square AOVG\],\[\square EUWI\] \[,\square GVXK\],\[\square \,IWPB,\]\[\square \,MDHR,\]\[\square QFJS\],\[\square RHLT\]and \[\square \,SJCN,\]finally there are three squares \[\square \,A\,IJD,\]\[\square \,EKLF,\] and \[\square \,GBCJ,\] from the main figure.

Hence, there are a total of 26 squares in the figure.

Shortcut method

Number of squares

\[=(5\times 3)+(4\times 2)+(3\times 1)+(2\times 0)\]

\[=15+8+3+0=26\]