Question
Free notebooks were distributed equally among children of a class. The number of notebooks each child got was one-eighth of the number of children. Had the number of children been half, each child would have got 16 notebooks. Total how many notebooks were distributed ?
Answer: Option C
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Let total number of children be x.
Then, x \(\times\frac{1}{8}x = \frac{x}{2}\times16\Leftrightarrow x = 64.\)
Therefore Number of notebooks = \(\frac{1}{8}x^{2} = \left(\frac{1}{8}\times64\times64\right) = 512\)
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