We have been living in this house ________ 1965.

• when
• for
• before
• since
Correct Option: D  [ since ]

Remark: "since" with the "Present perfect" describe an action or situation that began in the past and continues in the present.

No one has yet discovered a cure _______ COVID 19.

• of
• for
• from
• about
Correct Option: B  [ for ]

Remark:

He is jealous ___________ me.

• with
• into
• of
• at
Correct Option: C  [ of ]

Remark:

He died _______ malaria.

• of
• from
• with
• by
Correct Option: A  [ of ]

Remark: "die of" a disease.
"die from" something other than a disease.

The deceased left ________ children.

• behind
• for
• with
• by
Correct Option: A  [ behind ]

Remark:

He deals _______ cosmetic goods.

• of
• with
• in
• on
Correct Option: C  [ in ]

Remark:

He resembles ________ his brother.

• with
• to
• like
• None of the above
Correct Option: D  [ None of the above ]

Remark: the verb "resemble" is not typically followed by a preposition. It is usually used without a preposition.
Some verbs that are not generally followed by preposition are consider, discuss, influence, emphasize, resemble, inform, return, etc.

You must not quarrel _________ others.

• with
• to
• at
• into
Correct Option: A  [ with ]

Remark:

He travelled all ________ the world when he was eight years old.

• in
• over
• with
• of
Correct Option: B  [ over ]

Remark:

The village was plunged ________ darkness due to a sudden power failure.

• at
• into
• under
• to
Correct Option: B  [ into ]

Remark: