Our Principal and Chairman of the occasion ________ arrived.

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

Remark:

Sir, our list of grievances here ________ a long one.

• are
• were
• is
• was
Correct Option: C  [ is ]

Remark: "list" is a singular noun, and when referring to a singular entity, the verb should also be singular.

The Moon _______ around the Earth

• move
• moving
• moved
• moves
Correct Option: D  [ moves ]

Remark: Subject is "Moon" a Singular noun, go with singular verb.
When universal truths are mentioned, the verb used should be the simple present tense.

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

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

Remark:

Not Amit but his brothers ______ to the store

• walk
• walks
• are walk
• have walk
Correct Option: A  [ walk ]

Remark: If plural subjects are joined by "or," "nor," or "but," the verb must only agree with the subject that is closest to it.

The team _______ playing well.

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

Remark: "team" is a collective noun and should be treated as a singular entity. Therefore, the verb "is" (singular) used.

The modern student _________ the importance of physical exercise.

• understood
• understand
• have understand
• understands
Correct Option: D  [ understands ]

Remark: singular subject (i.e student) takes singular verb (i.e understands).
Note: generally verb ends with "s" is singular.

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.

Neither the books nor the magazine ________ on the shelf.

• were
• have
• have been
• was
Correct Option: D  [ was ]

Remark: The verb agrees with the closer part of the subject, which is "magazine" in this case. Here "Magazine" is singular subject, so "was" used.

The furniture in this room _______ made of teak.

• are
• have
• is
• No correction
Correct Option: C  [ is ]

Remark: Furniture is an uncountable noun and is not used in the plural, so furniture is a singular subject.