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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?

Correct answer: C. 512

  • A. 256
  • B. 432
  • C. 512
  • D. 640Everyday Science Quiz

Explanation

If there are n children, each initially receives n/8 notebooks, so the total is n x n/8 = n²/8 notebooks. With n/2 children receiving 16 each, the same total is 16 x n/2 = 8n; equating gives n²/8 = 8n, so n = 64 and total notebooks = 64²/8 = 512. Option b can result from using half the original number of children without preserving the total.

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