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 contextual and grammatical correctness 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..."
Here, "state" is used as a verb meaning "to express, declare, or present in words." This is grammatically and contextively correct, as a witness is formally asked to describe or declare the facts of an event.

Statement (II): "The teacher asked the student to state the answer to the math problem on the board..."
In this context, while "state" can mean to declare, math problems on a board typically require being solved, written, or calculated. Thus, this usage is contextually less appropriate than in statement (I).

Statement (III): "The musician attempted to state his guitar..."
This usage is completely incorrect. The verb needed here is "tune" (to adjust the pitch of the instrument), as indicated by the second part of the sentence: "but the instrument needed tuning badly." "State" cannot be used in this context.

Therefore, the word is correctly used only in statement (I).