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Question

Jiva drew some horizontal and vertical lines using a ruler on a paper and asked Jay to count the number of squares in the figure.
Help Jay count the total number of squares.

A
34
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B
32
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C
28
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D
30
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Solution

The correct option is D 30
Number of 1 x 1 squares = 16
They are:
ABGF, BCHG, CDIH, DEJI, FGLK, GHML, HINM, IJON, KLQP, LMRQ, MNSR, NOTS, PQVU, QRWV, RSXW, and STYX

Number of 2 x 2 squares = 9, i.e.,
ACMK, BDNL, CEOM, FHRP, GISQ, HJTR, KMWU, LNXV, and MOYW

Number of 3 x 3 squares = 4, i.e.,
ADSP, BETQ, FIXU, and GJYV

Number of 4 x 4 squares = 1, i.e., AEYU

Total number of squares = 16 + 9 + 4 + 1 = 30

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