two questions from a toeic® exercise book

[Infin1ty]

Hi, I came across two questions which I think are vague.

Question 1:

Our human resources department has been ( ) to fully cooperate with the inspectors from the labor board.
a. agreed b. demanded c. instructed d. intended

The answer is "c. instructed". But I think answer "b.demanded" works too. What do you think?

Question 2:

If you purchase over 100 dollars worth of goods, our company will ship them to you at half the ( )rate.
a.numerous b.duplicate c.standard d.divided

I chosed c. The answer is "d. divided", though. I searched "divided rate" via google and barely got any hits. I'd like to know what "divided rate" means? Does it make sense to you? Many thanks.
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[Dozy]

1. I can see why you thought "demanded" works. You can "ask/tell/instruct sb to do sth", and hence you can "be asked/told/instructed to do sth (by sb)". However, for no apparent logical reason, you cannot "demand sb to do sth", so you cannot "be demanded to do sth (by sb)". Instead, you "demand that sb do sth", which doesn't have an obvious conversion to the passive. You may sometimes hear the above patterns with "demand" from native speakers, but they are bad English, in my opinion.

2. "divided rate" is not a set term with any particular meaning. That's not to say that it's impossible for those words to appear together in a sentence, but one would have to specially craft the sentence to fit. In your sentence, "divided rate" makes no sense that I can discern.

[Infin1ty]

Thank you very much for your detailed explanation, Dozy. I got them. :D
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Please feel free to correct me if you find any mistakes in my posts.