Sentence Correction

43. Several financial officers of the company spoke on condition that they not be named in the press reports.

A. that they not be named
B. that their names will not be used
C. that their names are not used
D. of not having their names
E. of not naming them

OA A

what is wrong with B

This is subjunctive mood, so you MUST use be in any cases.

Whenever you find a sentence that has a condition set by any person or a command given by somebody, then you need to use that + be in the sentence.
In this question only choice a uses both that and be which are essential.

B also uses that and be...

Hii,

I have seen many of your post in SC. You always mentioned a question number. Which document you refer to ?

Now coming to you queries :

The general structure for subjunctive :

bossy verb + that + subject + command subjunctive - I require that he be here.

So B is wrong !! You dont require "will" here - Why ? I would say its unnecessary. "Will" is a modal and generally stress on the action.
i will go --- it creates a stress on "go"-- for more on this refer to this threads !!

https://www.beatthegmat.com/repetition-o ... tml#437308

Here already we are using a bossy verb to bring that effect - so there is no use of "will" here, .

Hope this helps !!