niketdoshi123 wrote:The sum of n consecutive positive integers is 45. What is the value of n?
(1) n is even
(2) n < 9
For any set of evenly spaced integers:
Median = sum/number.
Let the statements guide you.
If n=2, then the median = 45/2 = 22.5
The two integers would be 22 and 23.
If n=4, then the median = 45/4 = 11.25.
Not possible: Since the median of two consecutive integers must be halfway between them, the median must be a multiple of 1/2.
If n=6, then the median = 45/6 = 7.5
The six integers would be 5,6,7,8,9,10.
Since it's possible that n=2 or that n=6, the two statements combined are INSUFFICIENT.
The correct answer is
E.
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