Question Bank

A state produced 840 million pounds of milk in 2011 and 2.2 billion pounds in 2016. Approximately how many more million gallons of milk did it produce in 2016 than in 2011? (1 billion = $10^9$, and 1 gallon of milk weighs 8.6 pounds.)

Let $M = \frac{1}{101} + \frac{1}{102} + \frac{1}{103} + \cdots + \frac{1}{200}$, the sum of the reciprocals of every integer from 101 through 200. Which of the following must be true?