Question

In the following question, count the number of squares in the given figure

• A. 32
• B. 30
• C. 29
• D. 28

Answer 1

Answer: (B)

30

The simplest squares are ABGF, BCHG, CDIH, DEJI, FGLK, GHML, HINM, IJON, KLQP, LMRQ, MNSR, NOTS, PQVU, QRWV, RSXW and STYX i.e. 16 in number.
The squares composed of four components each are ACMK, BDNL, CEOM, FHRP, GISQ, HJTR, KMWU, LNXV and MOYW i.e. 9 in number.
The squares composed of nine components each are ADSP, BETQ, FIXU and GJYV i.e. 4 in number. There is one square AEYU composed of sixteen components.
There are $16+9+4+1=30$ squares in the given figure.