Which of the following spellings is correct?

The correct answer is Beggar. The word "beggar" refers to a person who lives by begging for money or food. A common mistake is to spell it as "Begger" because the root verb is "beg" (which ends with a single 'g'). However, when adding the suffix "-ar" (not "-er"), the consonant 'g' is doubled to preserve the short vowel sound (/ɛ/) in the first syllable. The incorrect options include:

• Begger: This is a common misspelling based on the regular "-er" rule, but English doesn't apply that rule here.
• Baggar: Completely incorrect and has no standard meaning in this context.
• Bager: Incorrect; it resembles the word "badger" (an animal), which is unrelated.

Therefore, "Beggar" is the only correct standard spelling.