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Official Explanation:

As always, let’s start off by trying to split the options. One way of splitting the options in this particular sentence is by using the tense (are, will be, were, had been, are). Since the original sentence is in the simple present tense are, there is no reason why we should change this, so eliminate options B, C, and D.

Now options A and E both are grammatically correct so which one do you go with?

You check the two sentences for the meaning that each is trying to convey. The non underlined part at the end of the sentence is crucial in this case as it states that you should never skip your breakfast. It does not tell you the kind of breakfast you should eat. Thus, the correct modifier has to be the adverb regularly to modify the frequency of eating rather than the adjective regular to modify what you are eating.

Thus, E distorts the meaning of the original sentence, and A is the correct answer.

Important
Sometimes it is possible that the only option that is grammatically correct conveys a meaning that is different from the meaning supposedly conveyed by the original sentence. In such cases, you obviously need to go with the grammatically correct option because an incorrect sentence can anyway never convey any meaning.