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B
This problem could not be solved.
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C
This problem cannot be solved by anyone.
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D
This problem will not be solved by anyone.
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Solution
The correct option is C This problem cannot be solved by anyone. A sentence is in active voice when the subject performs the action. A sentence is in passive voice when the subject receives the action. While converting a sentence from active to passive, the subject becomes the object and vice versa. When the active voice is in simple present form, passive voice takes the simple past form. Subject + verb + object (active voice)
Therefore as per the rule option C is correct.
Option A and D are not in simple past form therefore incorrect. Whereas option B changes the meaning of the sentence, as the sentence is a generalized statement and does not refer to any specific set of subject. Therefore options A, B, D are incorrect.