No / either

When analyzing the given statement, "argument could move man from this decision," we can identify that the argument has the potential to influence the decision of a man. Now, let's examine the options provided to determine which one correctly completes the sentence.

a) No / either
b) Every / both
c) No / neither
d) Each / all
e) Each / both

To evaluate the options, we need to consider the context of the sentence and determine which words best fit the given scenario.

No / either:
This option implies that the argument could prevent the man from making a decision or could also persuade him to make a decision. Since the argument has the potential to move the man in either direction, this option is the most appropriate. Hence, option 'A' is the correct answer.

Every / both:
This option suggests that every argument has the ability to move the man from his decision, and both options (either persuading or preventing the decision) are valid. However, this is not consistent with the original statement, as it does not account for the possibility of the argument not influencing the decision at all. Therefore, this option is not suitable.

No / neither:
This option implies that the argument has no effect on the man's decision, and neither persuasion nor prevention occurs. However, the given statement clearly states that the argument could move the man, so this option is not accurate.

Each / all:
This option suggests that each argument has the ability to move the man from his decision, and all options (either persuading or preventing the decision) are valid. However, this option does not account for the possibility of some arguments not influencing the decision. Therefore, it is not the correct choice.

Each / both:
This option is similar to option 'D' as it proposes that each argument has the ability to move the man from his decision, and both options (either persuading or preventing the decision) are valid. However, as mentioned before, this option does not consider the possibility of some arguments having no impact on the decision. Hence, it is not the correct choice.

In conclusion, option 'A' (No / either) is the correct answer as it accurately reflects the statement that the argument could move the man from his decision, leaving room for either persuasion or prevention.