This is not a test of idiom. This is a test of present subjunctive and shift of tense.
The three tenets of present subjunctive are:
1.An element of mandate 2. An introductory conjunction “that” and 3. The basic form of the verb
The given text befits the use of the subjunctive because the mandate emanates from the compulsory condition, the introductory conjunction “that” is available and the basic form of the verb “be not named” is used. The other four choices exhibit fundamental errors such as shift of tense, etc. Remember that the main clause in simple past.
In B and E, the subordinate clause uses “will not be”, a future tense.
In C, the subordinate clause uses “are not”, a simple present and
D uses of “not being”
A is the eventual winner.
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