A word has been given in the question and has been used in the sentences given below. Identify the statements where the word has been used in a contextually and grammatically correct manner. If the word has been used incorrectly in all the statements, mark option “None of these” , as your answer.

State
(I) The witness was asked to state the events leading up to the murder-incident to provide a clear account of what happened.
(II) The teacher asked the student to state the answer to the math problem on the board
(III) The musician attempted to state his guitar to create a melodious tune, but the instrument needed tuning badly.

The correct option is only (I).

Let's analyze the usage of the word "State" in each of the given statements:

Statement (I): "The witness was asked to state the events leading up to the murder-incident to provide a clear account of what happened."
In this sentence, the verb "state" is used correctly to mean "to express, declare, or present something clearly in speech or writing." The context of a witness providing an account fits this definition perfectly.

Statement (II): "The teacher asked the student to state the answer to the math problem on the board"
In this context, the word "state" is inappropriate. For a mathematical problem presented on a board, a student is typically expected to "solve", "write", or "work out" the solution rather than just declare it.

Statement (III): "The musician attempted to state his guitar to create a melodious tune, but the instrument needed tuning badly."
The word "state" is completely incorrect here. The context clearly requires a verb like "tune" or "play", particularly because the sentence concludes by noting that the instrument "needed tuning badly."

Therefore, only statement (I) uses the word "state" in a grammatically and contextually correct manner.