Hi MY7MBA,

We're told that a set of 25 DIFFERENT integers has a MEDIAN of 50 and a RANGE of 50. We're asked for the greatest possible integer that could be in this set.

When it comes to maximizing or minimizing a value in a group of numbers, you have to think about what the other numbers would need to be to accomplish your goal. Here, we have a group of 15 DIFFERENT integers with a median of 50 and a RANGE of 50. That range will dictate how large the largest value can be.

With a median of 50, we know that 12 numbers are LESS than 50 and 12 numbers are GREATER than 50:

_ _ _ _ _ _ _ _ _ _ _ _ 50 _ _ _ _ _ _ _ _ _ _ _ _

To maximize the largest value, we need to maximize the smallest value. Here's how we can do it:

38 39 40 41 42 43 44 45 46 47 48 49 50 _ _ _ _ _ _ _ _ _ _ _ _

With 38 as the smallest value, and a range of 50, the largest value would be 88.

Final Answer: D

GMAT assassins aren't born, they're made,
Rich