correct answer is: d) 5/6 part & 1/6 part

Explanation

According to the question,
Ganesh babu completed \large\frac{3}{14} part of work in 1 ^st day.
Ganesh babu completed \large\frac{4}{7} part of work in 2 ^nd day.
Ganesh babu completed \large\frac{1}{21} part of work in 3 ^rd day.
So that, In three days,
Ganesh babu completed \large\left(\frac{3}{14}+\frac{4}{7}+\frac{1}{21}\right) part of work.
\rightarrow\large\left(\frac{9+24+2}{42}\right)\ part of work. _{[L.C.M = 42]}
\rightarrow\large\frac{35}{42} or \large\frac{5}{6} part of work.
Let, total work was = ‘1’
Ganesh babu completed \large\frac{5}{6} part of work in three days.
\therefore Ganesh babu left \left(1-\large\frac{5}{6}\right) part of work.
\rightarrow\large\left(\frac{6-5}{6}\right) or \large\frac{1}{6} part of work.
Ans: Ganesh Babu completed 5/6 part of the work in three days and he has 1/6 part of the work left to be completed.

An alternative way to phrase this particular query is possible:
1. How much of the work did Ganesh Babu complete in three days, given he finished 3/14, 4/7, and 1/21 parts of the work on each day respectively?
2. Calculate the portion of work completed by Ganesh Babu in three days, with completion rates of 3/14, 4/7, and 1/21 parts on each consecutive day.
3. What fraction of the total work did Ganesh Babu accomplish in three days, considering his completion rates of 3/14, 4/7, and 1/21 parts on each day?
4. How much work remains to be completed after Ganesh Babu finishes 3/14, 4/7, and 1/21 parts of the task in three consecutive days?
5. Find out the portion of work left unfinished after Ganesh Babu completes 3/14, 4/7, and 1/21 parts of the work over three days.