Explanation:

- The original sentence "Both of mine child passed the examination successfully" is incorrect. "Mine child" is not a proper phrase, and "both of" implies more than one, so "child" should be plural.

- Option 1: my children passed

- This is correct. "Both" implies multiple children, and "passed" is the correct past tense verb.

- Correct Answer

- Option 2: our children passes

- Incorrect. "Passes" is present tense and does not agree with the past tense context.

- Option 3: No improvement required

- Incorrect. The original sentence has grammatical issues.

- Option 4: my child pass

- Incorrect. "Child" is singular, but "both" implies plural, and "pass" is not in past tense.

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