Fill in the blanks with suitable auxiliary verb from the options._____...
To determine the suitable auxiliary verb to fill in the blank, we need to consider the context and the meaning we want to convey.
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Would: This suggests a hypothetical situation or a polite request. For example, "Would I wait any longer?" implies a hypothetical scenario where the speaker is questioning the necessity of waiting.
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Can: This indicates ability or permission. However, in the given sentence, it doesn't fit the context as it doesn't convey the intended meaning.
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Should: This expresses obligation or duty. "Should I wait any longer?" implies that the speaker is seeking advice or asking for guidance on what is expected of them.
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Could: This implies possibility or ability. However, in the given sentence, it doesn't fit the context as it doesn't convey the intended meaning.
Therefore, the correct auxiliary verb to fill in the blank is
"Should" as it conveys the sense of obligation or duty in questioning whether waiting is necessary.