Correct Answer - Option 2 : 24

**Given**

Number of taps = 8

Time taken by 8 taps to fill the vessel = 72 minutes

**Formula used**

**If Tap**_{1 }is a number of taps fills a vessel in Time_{1 }and Tap_{2 }is a number of taps fills a vessel in Time_{2}, then

Tap_{1 }× Time_{1 } = Tap_{2 } × Time_{2}

**Calculation**

Let x taps fills the same vessel in 24 minutes.

Tap_{1 }= 8, Time_{ 1 }= 72 minutes

Tap_{2 }= x, Time_{2 = }24 minutes

⇒ 8 × 72 = x × 24

⇒ (8 × 72)/24 = x

⇒ 24 taps = x

**∴ 24 taps fills the large vessel in 24 minutes**