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.

That woman ____________vegetables.

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

Remark:

While eating he _______ a lot.

• talk
• talks
• talked
• taking
Correct Option: B  [ talks ]

Remark: Singular subject takes singular verb.

Ashok as well his brothers _________ coming today.

• are
• were
• had been
• is
Correct Option: D  [ is ]

Remark:

Neither the teacher nor the students ___ present.

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

Remark: The verb agrees with the subject closer to it. Here, "students" is plural, so the verb should be "are."

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).

Most of the labourers _____________ on the strike.

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

Remark:

One person __________ and several others were injured as the police opened fire on protesters.

• were killed
• was killed
• had killed
• was killing
Correct Option: B  [ was killed ]

Remark:

I _______ tennis every Sunday morning.

• playing
• play
• am playing
• am play
Correct Option: B  [ play ]

Remark:

Mathematics ___ my favorite subject.

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

Remark: "Mathematics" is treated as a singular subject even though it ends in "s".