If Q is an odd number and the median of Q consecutive integers is 125, what is the largest of these integers?
Choices:
A) (Q - 1)/2 + 125 B) Q/2 + 119 C) Q/2 + 125 D) (Q + 119)/2 E) (Q + 125)/2
Consider the easiest case, say Q=3, then;   Set = {124, 125, 126};   The largest integer = 126.   Now, plug Q=3 into the answers to see which yields 126. Only answer choice A works.Notice that we don't really need to plug for B, C, or E, since these options do not yield an integer value for any odd value of Q.   (Q - 1)/2 + 125nswer: (Q - 1)/2 + 125.
<result>A</result>
If Q is an odd number and the median of Q consecutive integers is 125, what is the largest of these integers?