A bucket of 16 litres capacity is filled to the brim with water. Water from this bucket is to be transferred into smaller utensils. A mug filled to capacity has to be dipped 50 times to completely transfer the water in the bucket into the utensils. What is the capacity of the mug ?

The correct option is 320 mL.

Let's calculate the capacity of the mug step-by-step.

Step 1: Understand the total capacity of the bucket
The total capacity of the bucket is given as 16 litres.
Since the options are provided in millilitres (mL), we first convert the total capacity from litres to millilitres.
We know that:

$1\text{ litre}=1000\text{ mL}$

$\text{Total Capacity}=16\times 1000\text{ mL}=16000\text{ mL}$

Step 2: Calculate the capacity of one mug
It is given that the mug filled to its capacity is dipped 50 times to transfer all the water from the bucket into utensils.
This means 50 full mugs equal the total capacity of the bucket (16000 mL).

$\text{Capacity of the mug}=\frac{\text{Total capacity of bucket}}{\text{Number of times mug is dipped}}$

$\text{Capacity of the mug}=\frac{16000}{50}\text{ mL}$

$\text{Capacity of the mug}=320\text{ mL}$

Thus, the capacity of the mug is 320 mL.