A bucket of capacity 2000 mL is to be filled by using containers measuring 200 mL and 300 mL. Which one of the following combinations of containers is not correct for filling the bucket completely by the containers of 200 mL and 300 mL respectively?

Correct Answer: 6, 3

Step-by-Step Explanation:

To determine which combination of containers is not correct for completely filling the bucket, we can calculate the total volume filled by each combination of 200 mL and 300 mL containers and compare it with the required capacity of 2000 mL.

Let the number of 200 mL containers be x and the number of 300 mL containers be y.

The total volume V is given by the formula:

$V=(200\times x)+(300\times y)$

Let us test each of the given options:

Option 1: (1, 6)

Here, x = 1 and y = 6.

$V=(200\times 1)+(300\times 6)$

$V=200+1800=2000\text{mL}$

This combination fills the 2000 mL bucket completely.

Option 2: (4, 4)

Here, x = 4 and y = 4.

$V=(200\times 4)+(300\times 4)$

$V=800+1200=2000\text{mL}$

This combination fills the 2000 mL bucket completely.

Option 3: (7, 2)

Here, x = 7 and y = 2.

$V=(200\times 7)+(300\times 2)$

$V=1400+600=2000\text{mL}$

This combination fills the 2000 mL bucket completely.

Option 4: (6, 3)

Here, x = 6 and y = 3.

$V=(200\times 6)+(300\times 3)$

$V=1200+900=2100\text{mL}$

Since 2100 mL exceeds the bucket's total capacity of 2000 mL, this combination is not correct.

Therefore, the combination 6, 3 is not correct for filling the 2000 mL bucket.