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    Question

    In the adjoining figure, if the centres of all the

    circles are joined by horizontal and vertical lines, then find the number of squares that can be formed.
    A 6 Correct Answer Incorrect Answer
    B 7 Correct Answer Incorrect Answer
    C 8 Correct Answer Incorrect Answer
    D 1 Correct Answer Incorrect Answer

    Solution

    The figure may be labelled as shown. We shall join the centres of all the circles by horizontal and vertical lines and then label the resulting figure as shown. The simplest squares are ABED, BCFE, DEHG, EFIH, GHKJ and HILK i.e. 6 in number. The squares composed of four simple squares are ACIG and DFLJ i.e. 2 in number. Thus, 6 + 2 = 8 squares will be formed.

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