Bunuel wrote:
Set S consists of consecutive positive integers. If the lowest integer in Set S is 1 and the sum of the integers of Set S is 231, what is the median of Set S?
A. 10.5
B. 11
C. 12
D. 13
E. 22
The only tricky part of this question is solving for n when we say n*(n+1)/2 = 231
Note that do not try to multiply 231 with 2. Instead try to break down 231 into factors.
231 = 11 * 21
When you multiply 11 with 2, you will get 22 i.e. consecutive numbers 21 and 22.
So you know that n*(n+1) = 21*22
n
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