Hi,
Statement says that in a serie os five numbers {x1, x2, x3, x4, x5}, the large number, x5, is 4 greater than the median, i.e. x5=x3+4, and it asks if the mean is greater than the median (x1+....+x5)/5>x3?
(1) it says that x5+x3=34, combining it with x5=x3+4 from the statement we get, x3=15 and x5=19, but we still don't know what happens with x1 and x2, so INSUFF.
(2) it says that x3-x1=10, or 15-x1=10, or x1=5, but alone it doesnt give us any information about the other numbers, so INSUFF
(1+2) we have x1=5, x3=15, and x5=19, and the mean is maximize when x2 and x4 assume the greatest possible values x2=15 and x4=19 and minimezed when x2 and x4 assume the minimum possible values x2=5 and x4=15.
The mean of the serie {5;15;15;19;19} is 14,4 which IS greater than the median.
The mean of the serie {5;5;15;15;19} is 11,8 which IS NOT greater than the median.
Also INSUFF.
So my pick goes to E.
Hope it helps.
BTW: it took me more than 2min
Oooops, STUPID MISTAKE. For any of the above series the mean is not greater than the median, and so (1+2) is SUFF. 
