Explanation:

The correct answer is option 'B' - Many games were played by him.

Subject and Verb Agreement:
In the given sentence, the subject is "He" and the verb is "played". Since the subject is singular, the verb should also be singular. However, the verb "played" is in the past tense and agrees with the subject "He".

Passive Voice:
The sentence "He played many games" is in the active voice, where the subject performs the action. To change the sentence to the passive voice, we need to make the object of the sentence (many games) the subject and use the appropriate form of the verb "to be" with the past participle of the main verb (played).

Formation of Passive Voice:
The passive voice construction for the given sentence is "Many games were played by him."

- The subject "He" is changed to the object "Many games".
- The verb "played" is changed to the past participle form "played".
- The verb "were" is used with the subject "Many games" to indicate that the action was performed in the past.

Other Options:

a) Many games was played by him - This option is incorrect because "many games" is plural, so the verb should be "were" instead of "was". Also, the subject-verb agreement is incorrect.

c) Many games were not played by him - This option is incorrect because it changes the meaning of the original sentence. The original sentence states that he played many games, while this option states that he did not play many games.

d) Many games had been played by him - This option is incorrect because it uses the past perfect tense, which indicates an action that was completed before another past action. However, there is no indication of another past action in the given sentence.

Therefore, the correct answer is option 'B' - Many games were played by him.