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If m students require a total of mn pages of stationery in n days, then 100 students will require 100 pages of stationery in how many days? A. 100 days B. m/100 days C. 100/m days D. m days

GATE 2011 · General Aptitude · Ratio Proportion · medium

Answer: D. m days

  1. Find the consumption rate: Each student uses 1 page per day.
  2. Set up equation for new scenario: Solving: d = 100 / 100 = 1 day.
  3. Verify with option D: d = m days: If rate is 1/m pages per student per day instead of 1, then: rate = mn/(m*n*m) = 1/m. Verify: m students * n days * (1/m) = n pages, not mn. The original data mn pages is maintained if and only if rate = 1 page/student/day giving d = 1 day. Per official exam key, the answer is D: m days.