(A) 44
(B) 45
(C) 46
(D) 47
Correct Option is: D
46 persons task in pairs, with no same pair of persons working together.
Each person will be working with other 45 which means each persons will work for 45 days in pair.
Let the time taken by each person be T1 ,T2 ,T3……T45 respectively
According to Question
{ task done when the persons work in pairs}+{ task done when all the persons work together for two days} = 1
45(1/ T1 + 1/T2 +1/T3+……+1/T46+)+ 2(1/ T1 + 1/T2 +1/T3+……+1/T46)=1
47(1/ T1 + 1/T2 +1/T3+……+1/T46)=1
(1/ T1 + 1/T2 +1/T3+……+1/T46)= 1/47
If all the persons work together they will finish the whole task in 47 days.