Romeo is grandiose in his thinking, incoherent in his speech, and so hyperactive he has hardly sat down in the past week. DeJuan is overactive and elated, starting projects but not completing them. However, he shows neither delusions nor incoherence in his speech. According to the DSM-5,

a. Romeo illustrates the hypomanic state, and DeJuan the manic state.
b. Romeo and DeJuan both illustrate the manic state.
c. Romeo and DeJuan both illustrate the hypomanic state.
d. Romeo illustrates the manic state, and DeJuan the hypomanic state.

d. Romeo illustrates the manic state, and DeJuan the hypomanic state.                                                                                                  

Explanation:

Manic state: In abnormal psychology, the term "manic state" is defied as an emotional state that is distinguished by a specific period of one week at least when an individual experience irritable, elevated, and expansive mood.

Symptom: Euphoria.

Hypomania: In abnormal psychology, the term "hypomania" is also referred as "less than mania" or "under mania", and is described as an individual's mood state that is being distinguished as having mood elevation and persistent disinhibition with specific behaviors that is considered as different with respect to the person's actual behaviors when he or she is in a "non-depressed state and involves irritability.

Romeo illustrates the manic state, and DeJuan the hypomanic state.

Explanation: The DSM-5 refers to the Diagnostic and Statistical Manual of Mental Disorders, 5th Edition. A book by the American Psychiatric Association.

Basically, this book is a manual for assessment and diagnosis of mental disorders and does not include information or guidelines for treatment of any disorder.

According to the book, the best diagnosis for Romeo and DeJuan is Romeo illustrates the manic state, and DeJuan the hypomanic state.

It defines the manic state as suffering from mania; the state of abnormally elevated or irritable mood, arousal, and/or energy levels.

And the hypomanic as a mild form of mania, especially the phase of several mood disorders characterized by euphoria or hyperactivity.

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