Correct Answer - Option 4 : 11/38
Ankit and Seema can finish a work in 19 days and 38 days respectively.
They together work for 9 days and then left the work.
If A and B can together finish a work in t days and can alone finish the work in a and b days respectively,
Then, 1/a + 1/b = 1/t
Work = Time × Efficiency
Total work = LCM of 19 and 38 = 38 units
Efficiency of Ankit and Seema = 2 and 1
Units of work done in 9 days = (9 × 3) units = 27 units
Remaining work = (38 – 27) units = 11 units
Fraction of work remains = 11/38
∴ The required fraction is 11/38.