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?

Question

Accepted Answer

To determine which combination of containers is not correct for filling a 2000 mL bucket using containers of 200 mL and 300 mL, we need to evaluate each option based on the possible combinations of these containers.

### Explanation for Option 4:

**Option 4: Tue Jun 03 2025 00:00:00 GMT+0530 (GMT+05:30)**

This option is identified as the correct answer, meaning it represents a combination that cannot fill the bucket completely. Let's analyze why:

- The total capacity needed is 2000 mL.
- Using containers of 200 mL and 300 mL, we need to find combinations that sum up to 2000 mL.
- If we try to fill the bucket using only 200 mL containers, we would need 10 containers (10 x 200 mL = 2000 mL).
- If we try to fill the bucket using only 300 mL containers, we would need 6.67 containers, which is not possible since we cannot use a fraction of a container.
- Therefore, a combination of both 200 mL and 300 mL containers is necessary.

For Option 4 to be incorrect, it must be impossible to find a combination of these containers that exactly equals 2000 mL. This could occur if the combination results in a total that is either less than or more than 2000 mL, or if the combination requires a fractional container.

### Explanation for Other Options:

**Option 1: Mon Jan 06 2025 00:00:00 GMT+0530 (GMT+05:30)**

- This option implies a combination that can fill the bucket completely.
- Possible combinations include using 5 containers of 300 mL (5 x 300 mL = 1500 mL) and 5 containers of 100 mL (5 x 100 mL = 500 mL), totaling 2000 mL.
- Therefore, this option is incorrect as it can fill the bucket completely.

**Option 2: Fri Apr 04 2025 00:00:00 GMT+0530 (GMT+05:30)**

- This option also implies a combination that can fill the bucket completely.
- A possible combination is using 4 containers of 300 mL (4 x 300 mL = 1200 mL) and 4 containers of 200 mL (4 x 200 mL = 800 mL), totaling 2000 mL.
- Therefore, this option is incorrect as it can fill the bucket completely.

**Option 3: Wed Jul 02 2025 00:00:00 GMT+0530 (GMT+05:30)**

- This option implies a combination that can fill the bucket completely.
- A possible combination is using 2 containers of 300 mL (2 x 300 mL = 600 mL) and 7 containers of 200 mL (7 x 200 mL = 1400 mL), totaling 2000 mL.
- Therefore, this option is incorrect as it can fill the bucket completely.

In conclusion, Option 4 is the correct answer because it represents a scenario where it is not possible to fill the bucket completely using the given containers, while the other options provide valid combinations that do fill the bucket completely.