The task is to identify the correctly spelled word from the given options. The options provided are various incorrect spellings of the word "Curmudgeon".
Let's analyze each option step by step:
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Carmudgeon: This is an incorrect spelling. The word does not start with "Car".
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Curmadgeon: This is an incorrect spelling. The vowel sequence is not right as it should be "mud", not "mad".
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Curmudjeon: This is another incorrect spelling. The correct form is "mudge", not "mudje".
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Curmudgon: This is incorrect. It omits the letter 'e' after 'd'.
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Curmudgeon: This is the correct spelling. The word "curmudgeon" accurately describes a person who is easily annoyed or bad-tempered, usually referring to an older person, especially an elderly man.
Therefore, the correctly spelled word is Curmudgeon.
In conclusion, the correct answer is: Curmudgeon.