To answer this question, we need to understand the appropriate word or phrase to use to complete the sentence "Ask him ___ he likes it."
Option A) Even - This option is incorrect because "even" is not the appropriate word to use in this context. It does not fit grammatically or convey the intended meaning.
Option B) If - This option is correct because "if" is the appropriate word to use in this sentence. "Ask him if he likes it" is a grammatically correct and meaningful sentence.
Option C) Though - This option is incorrect because "though" is not the appropriate word to use in this context. It does not fit grammatically or convey the intended meaning.
Option D) That - This option is incorrect because "that" is not the appropriate word to use in this context. It does not fit grammatically or convey the intended meaning.
The correct answer is B) if. This option is correct because "if" is the appropriate word to use in the given sentence.