CAT 2018 Question Paper with Solutions – Page 10
All 198 questions of CAT 2018. Tap Show answer, or open the detailed solution (free login). Page 10 of 32.
Questions 5–8 share this
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.
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.
What best can be said about the number of satellites serving C?
- Must be between 400 and 800
- Cannot be more than 800
- Must be at least 100
- Must be between 450 and 725
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Answer: D. Must be between 450 and 725
Refer to the passage above ↑
What is the minimum possible number of satellites serving B exclusively?
- 100
- 200
- 250
- 500
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Answer: C. 250
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If at least 100 of the 1600 satellites were serving O, what can be said about the number of satellites serving S?
- At least 475
- No conclusion is possible based on the given information
- Exactly 475
- At most 475
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Answer: D. At most 475
Refer to the passage above ↑
If the number of satellites serving at least two among B, C, and S is 1200, which of the following MUST be FALSE?
- All 1600 satellites serve B or C or S
- The number of satellites serving C cannot be uniquely determined
- The number of satellites serving B exclusively is exactly 250
- The number of satellites serving B is more than 1000
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Answer: B. The number of satellites serving C cannot be uniquely determined