mykrasovski
generis, although the question attempts to test good concepts, I reckon this question has a poor quality. Let me explain my thoughts.
The OA says that the correct answer is C - "announces the number of new programs the administration plans to create and the amount of money to be invested in each one". In the sentence, "each one" refers to the number of new programs, correct? If so, let's thing about the question for a moment. One cannot invest in each "the number", because it is THE ONLY ONE "number", i.e. "the number" is singular. If the question offered "a number of new programs", then "a number" would mean a set of programs each of which could receive funding. So, OA seems to be "the best of the worst" options.
On top of the above, it seems that option C would be more complete if there was "that" in it - "announces the number of new programs THAT the administration plans to create".
What are your thoughts?
mykrasovski , I think you have raised two issues that are not errors in this sentence but that can create confusion.
Correct option C:
During the State of the Union address every February, the president
announces the number of new programs the administration plans to create and the amount of money to be invested in each oneQuote:
"each one" refers to
the number of new programs, correct?
No,
each one does not refer to
the number. Each one refers to
programs.
Each
program will receive money.
Each one [of the programs] will receive money.
Rather than listing every planned programs one by one and specifying the amount of money to be invested in each named program, I can use the catchall "programs" and say "each one" to refer to those programs.
• Each oneONEIn this sentence,
one is a pronoun that refers to a count noun.*
I am about to make the margaritas, but I can't remember whether you want one.After eyeing the calamari rings with great suspicion for a long time, I finally decided to try one.I am not referring to any particular calamari ring in the pile. But I am referring to tasting A calamari ring.
When I decide to taste
one, I decide to taste
A calamari ring in that pile.
I am not, after all, tasting
a chocolate chip cookie. (Though I wish I were.

)
Correct: GMATNinja prepared a number of calamari rings, and after eyeing them with great suspicion, I decided to try
one.
EACH ONEEach one means every one of the programs. Every single planned program will receive money.
Oxford Online Dictionary (proxy, I believe) defines
each one,
HERE:
Used to refer to every one of two or more people or things, regarded and identified separately.
--
Place two small frying pans on a gentle heat and pour a little olive oil in each one.ANTECEDENTSI cannot figure out why you and others think that
each one must refer to
a number of.
I have seen this confusion about pronoun antecedents quite often.
The guidelinesThe antecedent of a pronoun such as ONE or EACH ONE is
the eligible noun that makes logical sense.The antecedent of a pronoun can be the object of a preposition.
EACH ONE refers to PROGRAMS.
• ANNOUNCE - two idioms(1)
Announce THAT X and that Y (2)
Announce X and YYes,
often announce automatically takes a THAT.
Announce THAT X and that Y: He announced that he was withdrawing from the race.
Announce does not always require a THAT. In such cases, including a THAT is incorrect.
Announce X and Y. X and Y are direct objects of the transitive verb
announceThese sentences are all correct:
--
They announced their engagement.--
He announced his retirement from acting and his plans to run for president.Wrong:
They announced THAT their engagement.
Announce without THAT is more common than people realize. They just don't remember having seen the construction.
The pronoun confusion is understandable.
My thoughts? The question is not of poor quality. Nothing is wrong with option (C) and you just asked two good questions.
Hope that explanation helps.
*One indicates an indefinite copy or a single, indefinite part of a collection:
After walking by the CHOCOLATES so many times, Roger finally had to eat one.
Manhattan Prep GMAT Sentence Correction, 6th edition, p. 195.
What did Roger eat? A chocolate.