Multiple choice

If $4$ persons do a work in $8$ days then how many days it will take if $8$ persons do the same work?

  1. $4$
  2. $16$
  3. $8$
  4. $32$
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A Correct answer
Explanation

This is an inverse proportion problem. Work = Persons * Days. 4 * 8 = 32 man-days. If 8 persons do the same work, 8 * D = 32, so D = 4 days.

AI explanation

Using the inversely proportional relationship of workers to days, M1 times D1 equals M2 times D2. We calculate the required days as 4 times 8 divided by 8, which equals 4 days.