Question

A problem figure is given. Study the figure carefully and then answer the questions given under it. How many squares are there ?

• A. 18
• B. 19
• C. 25
• D. 27

Answer 1

Answer: (D)

27

The figure may be labelled as shown :-
The simplest squares are EFRQ, MQYZ, RNSZ, XYA, W, QRZY, LXWK, $ZST{B}_1$, SGHT, WAVP, ABUV, $B_{1}TOU$ AND VUIJ i.e. 13 in number.
The squares having two components each are KA JD, B, HCI, FBGZ and AEYL i.e. 4 in number.
The squares having four components each are MRB W, YSOV, XZUP and QNTA, i.e. 4 in number.
There is only one square i.e. MNOP composed of nine components. There is only one square i.e. ABCD composed of seventeen components.
$\therefore$ There are (13 + 4 + 4 + 4 + 1 + 1) = 27 squares.