Let's analyze each option:

1. I was not favoured by them.: This option is in the passive voice and past tense, which doesn't match the continuous tense of the original sentence ("are not favouring"). It also changes the subject from "They" to "I".

2. I am not being favoured: This option is in the passive voice and present continuous tense, which accurately matches the tense of the original sentence ("are not favouring"). However, it changes the subject from "They" to "I".

3. I was not being favoured by them.: This option is in the passive voice and past continuous tense, which accurately matches the tense of the original sentence ("are not favouring"). However, it changes the subject from "They" to "I".

4. I am not being favoured by them.: This option is in the passive voice and present continuous tense, accurately matching the tense of the original sentence ("are not favouring"). It maintains the same subject ("They") and accurately conveys the idea that the speaker is currently not being favoured by them.

In summary, option 4, "I am not being favoured by them," is the correct choice as it accurately reflects the passive voice construction in continuous tense while maintaining the original subject.

Hence option D is the correct answer .

Active Voice : - In the active voice, the sentence's subject performs the action on the action's target.

Passive Voice : - In the passive voice, the target of the action is the main focus, and the verb acts upon the subject.

Conversion of Active Voice Sentence into Passive Voice For Continuous Tense:

Past Continuous Tense:

Rule used to identify that the sentence is in Active Voice form with past continuous tense is:

subject + was or were + being + past participle + object.

For Example:

• The Kitchen staff were preparing the buffet. (active)

 'the kitchen staff ' is subject ,object is the buffet and the kitchen staff is plural subject so were is used here,an action verb will be used with verb (ing) in continuous tenses.

While converting into Passive Voice the rule will be :

 subject + was/ were + being + third form of verb + by + object.

In the question : -

Everyone was hugging the kids at the party.

The passive form of above sentence for continuous tense is : -

The kids were being hugged at the party by everyone. In this sentence , subject ( everyone ) is converted into object ( the kids ) and then we use helping verb were because kids is a plural subject , then use being , then third form of verb (hugged ) ,  then use by preposition and then the remaining part is the subject ( everyone ) .

Thus , the Correct Option is A , which is The kids were being hugged at the party by everyone.

Active Voice : - In the active voice, the sentence's subject performs the action on the action's target.

Passive Voice : - In the passive voice, the target of the action is the main focus, and the verb acts upon the subject.

Conversion of Active Voice Sentence into Passive Voice For Continuous Tense:

Present Continuous Tense:

Rule used to identify that the sentence is in Active Voice form with present continuous tense is:

Subject + is/am/are + first form of verb +ing + object.

For Example:

• Mr Thomas is training the players.(active)

 Here 'Mr Thomas' is subject ,'the players' is object. 'Mr. Thomas' is singular so helping verb is used ,an action verb will be used with verb (ing) in continuous tenses.

While converting into Passive Voice the rule will be :

 subject + is/am/are + being + third form of verb + by + object.

In the question : -

They are taking interviews for different posts.

The passive form of above sentence for continuous tense is : -

Interviews are being taken for different posts by them. In this sentence , subject ( they ) is converted into object ( interviews) and then we use helping verb are  because interviews is a plural subject , then use being , then third form of verb (taken) ,  then use by preposition and then the remaining part is the subject ( they ) . In objective part , it gets changed into them .

Thus , the Correct Option is D , which is Interviews are being taken for different posts by them.