Data Sufficiency (DS) | What is the value of positive integer N? (1) Sum of N consecutive po

HeystrivingFor800

The easiest way to find out the various combinations with sum = 90 is as follows:
Since\(90 = 2*3^2*5\) , the various factors possible are 1,2,3,5,6,9,10,15,18,30,45,90

For the even number of consecutive integers, the mean/median is the average of the two
middle integers - which cannot be an integer.

For an odd number of consecutive integers, we will have a middle term that is an integer.
If N = 9, the middle term has a value of\( \frac{90}{9} = 10 \)
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