Correct Answer - Option 2 : 2 days

**Given:**

A, B and C can complete a work in 12 days,15 days and 24 days respectively.

**Formula used:**

Total work = Efficiency × Time

**Calculation:**

Let total work be 1 unit

Work done by A in 2 days = 2/12 unit

Work done by (A + B) in 5 days = 5 × {(1/12) + (1/15)} unit

⇒ 5 × 9/60 unit

⇒ 9/12 unit

So, remaining work = 1 - {(2/12) + (9/12)} unit

⇒ 1- (11/12) unit

⇒ 1/12 unit

So, time taken by C to complete 1/12 work = (1/12)/(1/24) days

⇒ 24/12 days

⇒ 2 days

**∴ C complete remaining work in 2 days.**