Vocabulary and Word Usage

Amiable means friendly and best fits the blank.

Amicable refers to showing goodwill. So, it fits here with 'settlement of the dispute'. Pleasing can not be used as 'an' is used and we need a vowel sound here.

Trivial refers something of very little importance or value or ordinary. So, it makes sense here.

Adopt means to choose. So, it makes sense here.

Adpet at cheating is the correct phrase.

Revenge is often used as noun and it's use as verb is narrrowed down to retributional aspects. Avenge however is more common to inflict punishment as an act of retributive justice for something wrong done. So, option 1 is the correct answer.

We need a noun here. Consent means permission or approval and it fits here. Agreement is made and not given. 

Illustrious refers to highly distinguished; renowned; famous. So, it encompasses meanings of all the other options. So, it suits the best here.

Humane refers to having or showing compassion or benevolence. So, it makes sense here.

Facility means something that permits the easier performance of an action, course of conduct, etc. So, it suits the sentence best here.

We need a word with vowel sound here. Only Exhaustive (comprehensive) makes sense here.

'Grateful (thankful) in new dress' doesn't make any sense.
Graceful refers to stylish or refined and it makes sense here.

Here, felicity refers to intense happiness. So, it is the correct answer.

Imperial means 'relating to an empire.'  As England was an empire under the queen, it fits here.

As Russia was advancing (Russian advance), conquer doesn't fit here.
Withstand refers to offer strong resistance or opposition to. So, it makes sense here.

Tom is ambitious whereas (on the contrary) his brother is quite the reverse.

As a comma has been placed after 'asleep', coordinating conjunction 'for' (and not because) should be used here.

There was little hope of success nevertheless ( in spite of that) they decided to perform the operation.

Eminent includes both significant and important as well as famous in its meaning. So, it's the correct word to be used here.

Prosecute means to institute or conduct legal proceedings against (a person or organization). So, it is incorrect.
Threatened and ill-treated can not be correct as they are not as much descriptive as persecute.
 Persecute is correct as it means to subject (someone) to hostility and ill-treatment, especially because of their race or political or religious beliefs.

Luxriant is used for hair which are thick and healthy.

As it is a book that has been surrounded by religious controversies, proscribe (forbid, especially by law) is the correct answer.

As the cause to become unpopular must be a negative characteristic. Here, only option 3 makes sense and all the other options are positive words and do not fit with 'unpopular'.

Precedent means an earlier event or action that is regarded as an example or guide to be considered in subsequent similar circumstances. It makes sense here.

Veracity refers to conformity to facts; accuracy. Other words do not fit with statement here.