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In rules-based questions, it's most efficient to make deductions from the rules before you dive into the answer choices.

Make sure also to understand the question: it's asking which piece can be added to either day, and which can be added to neither.

Some initial requirements are listed: there must be four pieces in the program for each day, and the program for each day must be completely different. These aren't "rules" per se; they just set the parameters of the question.

The actual rules follow. Let's measure each of them against the existing program to see what we can deduce:

1. Each day must include at least one concerto.

Both days already have a concerto, so we don't need to think about this rule further.

2. Each day must have no more than one chamber piece.

Day 1 already has a chamber piece, so it can have no more chamber pieces.

3. Each day must have no more than one piece for strings only.

Day 2 already has a strings-only piece, so it can have no more strings only.

4. Each day should represent at least three of the following four periods: Baroque, Classical, Romantic, and Modern.

Day 1 has only Baroque and Romantic, so it needs Classical or Modern. Day 2 already satisfies the requirement.

You should organize your deductions in a simple table:

Day 1Day 2
no more chamberno more strings only
need Classical or Modern

Now you can go through the answer choices and compare to the table:

Mendelssohn: Romantic, so it can't be added to Day 1. Strings only, so it can't be added to Day 2. This is correct for the second column.

Schumann: Romantic, so Day 1 is out. All instruments, so it can be added to Day 2.

Shostakovitch: Chamber music, so Day 1 is out. All instruments, so Day 2 works.

Stravinsky: Modern and orchestral, so Day 1 works. All instruments, so Day 2 works. This is correct for the first column.

Vivaldi: Baroque, so Day 1 is out. All instruments, so Day 2 works.

You can solve rules-based questions efficiently by understanding the question and making deductions from the rules up front. Only then should you go through the answer choices.
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