My cousin is now a student at _________ Michigan University. (appropriate article)

• a
• an
• the
• Zero article
Correct Option: C  [ the ]

Remark: use "the" before referring to a specific university name.

Let us discuss _________ matter seriously.

• the
• an
• a
• no article
Correct Option: A  [ the ]

Remark:

He knew he had hit ......... jackpot.

• a
• an
• the
• No article is needed
Correct Option: C  [ the ]

Remark:

My wife and I have _________ appointment.

• an
• a
• the
• none of these.
Correct Option: A  [ an ]

Remark: "an" is used before "appointment" because "appointment" starts with a vowel sound.

None but _________ brave deserves the fair.

• the
• a
• an
• No article required
Correct Option: A  [ the ]

Remark: here adjective "brave" used as noun. "the brave" means "the brave people".