Year
CAT 2018
Section
Data
Topic
Venn Diagrams
Difficulty
Hard
Question
Slot-1
Read the passage and answer the questions below.
Read the passage and answer the questions below.
Passage:
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:
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The numbers of satellites serving , and (though may be not exclusively) are in the ratio .
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The number of satellites serving all three of , , and is 100 .
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The number of satellites exclusively serving is the same as the number of satellites exclusively serving . This number is of the number of satellites exclusively serving .
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The number of satellites serving is the same as the number of satellites serving both and but not .
Question 1
What best can be said about the number of satellites serving C ?
Must be at least 100
Cannot be more than 800
Must be between 450 and 725
Must be between 400 and 800
Question 2
What is the minimum possible number of satellites serving exclusively?
250
100
500
200
Question 3
If at least 100 of the 1600 satellites were serving 0 , what can be said about the number of satellites serving ?
At most 475
Exactly 475
No conclusion is possible based on the given information
At least 475
Question 4
If the number of satellites serving at least two among , and is 1200 , which of the following MUST be FALSE?
The number of satellites serving B exclusively is exactly 250
The number of satellites serving B is more than 1000
The number of satellites serving C cannot be uniquely determined
All 1600 satellites serve B or C or S
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