hard · GMAT Quant

A batch has total mass M grams and contains A grams of active ingredient. Its total mass is reported as 250 grams to the nearest 10 grams, its active-ingredient mass is reported as 42 grams to the nearest 2 grams, and 100A/M is displayed as 17 percent to the nearest whole percent. In every rounding, a value exactly halfway between two reporting marks is rounded upward. A positive integer number c of grams of inert carrier is added.

What is the least possible c that guarantees the new displayed percentage is no greater than 14 percent for every batch consistent with the three original reports?

  1. 51
  2. 40
  3. 49
  4. 50
  5. 52

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