If S is the sum of the reciprocals of the consecutive integers from 61 to 70, inclusive, which of the following is less than S?
I. 1/6
II. 1/7
III. 1/8
IV .1/6>S >1/7	Choose the correct option.
A) I  B) II  C) IV  D) III  E) I&II
Since we summarize the reciprocals from 70 to 61, we can say also that we add ten numbers who are all (with one exception 1/70) greater than 1/70, so that the sum must be greater than 1/6.   On the other side we can say that we add the reciprocals from 61 to 70, so that the sum has to be less than the sum of ten times 1/61.   sum has to be greater than 1/7 and less than 1/6   IV
<result>C</result>
If S is the sum of the reciprocals of the consecutive integers from 61 to 70, inclusive, which of the following is less than S?
I. 1/6
II. 1/7
III. 1/8
IV .1/6>S >1/7