Bunuel wrote:
The average (arithmetic mean) of 10 distinct odd integers in a set is 55. What is the median of these 10 integers?
(1) The largest integer is 65.
(2) The smallest integer is 41.
The total sum of 10 distinct odd integers is 550
(1) the largest integer is 65...not sufficient
(
Longer Way-Making Sets is to write 55 ten times and then play with numbers)
65,63,61,59,57,55,51,49,47,43 Mean is 55 and Median is 56
65,63,61,59,57,53,51,49,47,45 Mean is 55 and Median is 55
(2) the smallest integer is 41.....not sufficient
41,43,45,47,53,57,63,65,67,69 Mean is 55 and Median is 55
41,43,45,47,55,57,61,65,67,69 Mean is 55 and Median is 56
ON combining
41,45,51,53,55,57,59,61,63,65 Mean is 55 and Median is 56
41,47,49,53,55,57,59,61,63,65 Mean is 55 and Median is 56
Hence C
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