Brent@GMATPrepNow wrote:Set T consists of 82 consecutive odd integers. If the sum of the integers is 3� - 165, what is the median of set T?
A) 78
B) 80
C) 82
D) 84
E) 86
For any set of consecutive integers:
SUM = (COUNT)(MEDIAN).
In the problem above:
SUM = 3� - 165 = (3�3�) - 165 = (81*81) - 165 = (integer with a units digit of 1) - (integer with a units digit of 5) = integer with a units digit of 6.
COUNT = 82 integers.
Since the sum has a units digit of 6, multiplying the count (82) by the correct answer (the median) must yield an integer with a units digit of 6.
Only
A is viable:
78*82 = integer with a units digit of 6.
The correct answer is
A.
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