The horse and the coach ________ arrived.

• have
• have been
• would
• has
Correct Option: A  [ have ]

Remark: When two singular nouns joined by "and" refer to the same person or thing, the verb is singular.
But here article "the" used twice before each noun to indicate two different subjects, thus "have" used.

The public _______ the thief red-handed.

• catch
• caught
• is caught
• catching
Correct Option: B  [ caught ]

Remark:

Everyone _______ at the party.

• dance
• dances
• are dances
• have dances
Correct Option: B  [ dances ]

Remark: "everyone" is considered a singular pronoun (subject), singular verb should be used.

None of the students ___________ responded.

• have
• were
• is
• has
Correct Option: A  [ have ]

Remark:

The team ___ going to win the match.

• is
• are
• has
• have
Correct Option: A  [ is ]

Remark: "Team" is a collective noun and is treated as singular when the group is acting as a single unit.

That woman ____________vegetables.

• sells
• sell
• have sold
• selling
Correct Option: A  [ sells ]

Remark:

My friend, philosopher and guide _________ my father.

• is
• are
• were
• has
Correct Option: A  [ is ]

Remark: "friend, philosopher and guide" refers to one person.

Neither John nor Alex __________ scored the century.

• have
• was
• has
• is
Correct Option: C  [ has ]

Remark: in case "Neither-Nor" the verb must agree with the second subject (the subject closer to the verb).

Each of the students ________ responsible for keeping this room clean.

• are
• has
• is
• have
Correct Option: C  [ is ]

Remark:

Mother ________ to talk to you.

• want
• wants
• wanted
• wanting
Correct Option: B  [ wants ]

Remark: Subject is "Mother" a Singular noun, go with singular verb.