Option D is the correct answer.
The antonym of “vengeance” is “mercy”.

Meaning of the given words:
Vengeance- punishment inflicted or retribution exacted for an injury or wrong.

Mercy- compassion or forgiveness is shown towards someone whom it is within one's power to punish or harm.

Allay- diminish or put at rest

Tentative- not certain or fixed; provisional.

Hence, Option D is the correct answer.

Option D- Variegated, is the correct antonym for 'Diverse'.

The meanings of the words are:

Diverse: showing a great deal of variety; very different.

Homogeneous: of the same kind; alike.

Probable: likely to happen or be the case.

Contented: feeling or expressing happiness or satisfaction.

Variegated: marked by variety.

Hence, option D is the correct answer.

Option (d) is the correct option. The antonym of “exacerbates” is “Alleviate”.

Exacerbates-make (a problem, bad situation, or negative feeling) worse.

Alleviate-make (suffering, deficiency, or a problem) less severe.

Deep- routed- firmly embedded in thought, behaviour, or culture, and so having a persistent influence.

Hesitant- tentative, unsure, or slow in acting or speaking.

The meanings of the words are:

Deteriorate: become progressively worse.

Deny: state that one refuses to admit the truth or existence of.

Accept: consent to receive or undertake (something offered).

Occupy: reside or have one's place of business in (a building).

Worsen: make or become worse.

Hence, option D is the correct answer.

The meanings of the words are:

Tweak: improve (a mechanism or system) by making fine adjustments to it.

Diverge: (of a road, route, or line) separate from another route and go in a different direction.

Convey: transport or carry to a place.

Modify: make partial or minor changes to (something).

Divulge: make known (private or sensitive information).

Hence, option C is the correct answer.