1600 satellites were sent up by a country for several purposes. The purposes are classified as broadcasting (B), communication (C), surveillance (S), and others (O). A satellite can serve multiple purposes; however a satellite serving either B, or C, or S does not serve O.

The following facts are known about the satellites:

1. The numbers of satellites serving B, C, and S (though may be not exclusively) are in the ratio 2:1:1.

2. The number of satellites serving all three of B, C, and S is 100.

3. The number of satellites exclusively serving C is the same as the number of satellites exclusively serving S. This number is 30% of the number of satellites exclusively serving B.

4. The number of satellites serving O is the same as the number of satellites serving both C and S but not B.

**Question:**What best can be said about the number of satellites serving C?

**Options:**

- Must be between 450 and 725
- Cannot be more than 800
- Must be between 400 and 800
- Must be at least 100

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**Question:**What is the minimum possible number of satellites serving B exclusively?

**Options:**

- 100
- 200
- 500
- 250

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**Question:**If at least 100 of the 1600 satellites were serving O, what can be said about the number of satellites serving S?

**Options:**

- At most 475
- Exactly 475
- At least 475
- No conclusion is possible based on the given information

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**Question:**If the number of satellites serving at least two among B, C, and S is 1200, which of the following MUST be FALSE?

**Options:**

- The number of satellites serving C cannot be uniquely determined
- The number of satellites serving B is more than 1000
- All 1600 satellites serve B or C or S
- The number of satellites serving B exclusively is exactly 250

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