If \(k\) is the sum of the reciprocals of the consecutive integers from \(41\) to \(60\) inclusive, which of the following are less than \(k?\)

I. \(\dfrac14\)

II. \(\dfrac13\)

III. \(\dfrac12\)

A. I only
B. II only
C. III only
D. I and II only
E. I, II, and III

Answer: D

Source: Manhattan GMAT