Correct Answer - Option 5 : 57(3/5)

**Given **

Bheem and Arjun complete a piece of work in = 24 days

Arjun and Nakul complete same work in = 36 days

Nakul and Bheem complete same work in = 48 days

**Concept used **

Work = time × efficiency

**Calculation **

LCM of 24, 36 and 48 = 144 i.e, total work = 144 units

Efficiency of Bheem and Arjun = 6 units / per day

Efficiency of Arjun and nakul = 4 units / per day

Efficiency of Nakul and bheem = 3 units / per day

Efficiency of Bheem, Arjun and nakul = 13/2 = 6.5 units/ per day

Efficiency of bheem per day = efficiency of bheem, arjun, and nakul - efficiency of Arjun and nakul

So, Efficiency of bheem per day = 6.5 - 4 = 2.5

No. of days taken by Bheem to complete the work = 144/ 2.5 = 57(3/5) days

**∴ Bheem takes 57(3/5) days to complete the work separately.**