In such questions always remember mean is the mid point which means 50% values is greater than the mean and 50% are below the mean
Mean = m
SD=d
Always remember the 68-95-99.8 rule of statistics
Here is a link which will help you understand this rule
https://en.wikipedia.org/wiki/68-95-99.7_rule
Mean + 1stSD = m+d - 34%
Mean + 2ndSD = m+2d - 14%
Mean + 3rdSD = m+3d - 2%
similarly for below the mean
Mean - 1stSD = m-d - 34%
Mean - 2ndSD = m-2d - 14%
Mean - 3rdSD = m-3d - 2%
Statement I
68% of the values lies within m+d and m-d
This mean 34% of values lies within the 1st SD above the mean and 34% lies within 1st SD below the mean.
We have to find the percentage greater then 1st SD above the mean
50%-34% = 16%
Therefore sufficient.
Statement II
16% of the values are less than m-d
Therefore 16% of the values would be more than m+d.
Therefore sufficient.
Hence D is the answer.
Let me know if you have any doubts.