Try this GRE question that tests your ability to manipulate the equation of average (arithmetic mean) of a large set of numbers.

After finding the average of $35$ scores, a student carelessly included the average with the $35$ scores and found the average of these $36$ numbers. The ratio of the second average to the true average was

- $\quad 1:1 $
- $\quad 35: 36 $
- $\quad 36: 35 $
- $\quad 2: 1 $
- $\quad \textrm{None of the above} $

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