Correct option is C
The given phrase in the bold is incorrect. When there is a ‘doubt’, we always use connector ‘if’ and ‘whether’ rather than ‘that’. The sentence is expressing uncertainty about his ability to complete the project on time. The word "that" is used to introduce indirect speech or reported speech in this sentence.
Now, let's look at the options:
(a) that he will being - This option is grammatically incorrect. "Being" is not the correct form to use here. It should be "be."
(b) whether he will being - Similar to option (a), this is grammatically incorrect. "Being" is not the correct word, and "whether" is a better choice than "that" in this context.
(c) whether he will be - This is the correct option. It uses "whether" to express doubt or uncertainty, and "he will be" is the correct way to express the future possibility of completing the project on time.
(d) if he were be - This option is grammatically incorrect. "If he were be" is not a valid construction in English.
(e) No replacement required - This option suggests that the original sentence is correct as it is. However, the original sentence uses "that," which is not the most appropriate word in this context. Using "whether" in option (c) makes the sentence more precise and grammatically correct.
So, the correct choice is (c) "whether he will be" because it maintains the intended meaning and correct grammar in the sentence.