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Bunuel
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A sequence consists of the consecutive integers from 1 through m. Does m equal to 49?

(1) The average of the integers in the sequence is not an integer.
(2) The median of the integers in the sequence is not an integer.[/quote]

(1) Sum can be calcualted from n/2 [2a+(n-1)d] =1225, which divided by 49 will give average as 25. Thus, it is found average is infact Integer. SUFFICIENT.

(2) Median = Middle Number of a set of numbers. Thus S=[1,2,....49] when m=49, the median would be 25. Thus it is found median is in fact integer. SUFFICIENT

Thus correct option is D, both are sufficient
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