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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.
Q. If at least 100 of the 1600 satellites were serving O, what can be said about the number of satellites serving S?
  • a)
    At most 475
  • b)
    Exactly 475
  • c)
    No conclusion is possible based on the given information
  • d)
    At least 475
Correct answer is option 'A'. Can you explain this answer?
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1600 satellites were sent up by a country for several purposes. The pu...
It is given that a satellite serving either B, or C, or S does not serve O. So we can say that it's basically 3 satellites broadcasting (B), communication (C), surveillance (S) which can have intersections. Those satellites which are not part of any category are placed in others. We can draw the Venn diagram as follows.

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.
Let '10x' be the number of satellites exclusively serving B. Then, the number of satellites exclusively serving C and S = 0.30*10x = 3x

Let 'y' be the number of satellites serving others(O).

It is given that

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

We can substitute this in equation (1)


Let us define boundary condition for x,

The number of satellites serving S = 100 + 800 - 10x + 2x - 50 + 3x = 850 - 5x
At Xmin = 75, the number of satellites serving S = 850 - 5*75 = 475
At Xmax= 80, the number of satellites serving S = 850 - 5*80 = 450
Hence, we can say that the number of satellites serving S must be from 425 to 475. Therefore, we can say that option A is the correct answer.
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1600 satellites were sent up by a country for several purposes. The pu...
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1600 satellites were sent up by a country for several purposes. The pu...
It is given that a satellite serving either B, or C, or S does not serve O. So we can say that it's basically 3 satellites broadcasting (B), communication (C), surveillance (S) which can have intersections. Those satellites which are not part of any category are placed in others. We can draw the Venn diagram as follows.

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.
Let '10x' be the number of satellites exclusively serving B. Then, the number of satellites exclusively serving C and S = 0.30*10x = 3x

Let 'y' be the number of satellites serving others(O).

It is given that

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

We can substitute this in equation (1)


Let us define boundary condition for x,

The number of satellites serving S = 100 + 800 - 10x + 2x - 50 + 3x = 850 - 5x
At Xmin = 75, the number of satellites serving S = 850 - 5*75 = 475
At Xmax= 80, the number of satellites serving S = 850 - 5*80 = 450
Hence, we can say that the number of satellites serving S must be from 425 to 475. Therefore, we can say that option A is the correct answer.
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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.Q.If at least 100 of the 1600 satellites were serving O, what can be said about the number of satellites serving S?a)At most 475b)Exactly 475c)No conclusion is possible based on the given informationd)At least 475Correct answer is option 'A'. Can you explain this answer?
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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.Q.If at least 100 of the 1600 satellites were serving O, what can be said about the number of satellites serving S?a)At most 475b)Exactly 475c)No conclusion is possible based on the given informationd)At least 475Correct answer is option 'A'. Can you explain this answer? for CAT 2024 is part of CAT preparation. The Question and answers have been prepared according to the CAT exam syllabus. Information about 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.Q.If at least 100 of the 1600 satellites were serving O, what can be said about the number of satellites serving S?a)At most 475b)Exactly 475c)No conclusion is possible based on the given informationd)At least 475Correct answer is option 'A'. Can you explain this answer? covers all topics & solutions for CAT 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for 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.Q.If at least 100 of the 1600 satellites were serving O, what can be said about the number of satellites serving S?a)At most 475b)Exactly 475c)No conclusion is possible based on the given informationd)At least 475Correct answer is option 'A'. Can you explain this answer?.
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The number of satellites serving O is the same as the number of satellites serving both C and S but not B.Q.If at least 100 of the 1600 satellites were serving O, what can be said about the number of satellites serving S?a)At most 475b)Exactly 475c)No conclusion is possible based on the given informationd)At least 475Correct answer is option 'A'. Can you explain this answer? defined & explained in the simplest way possible. Besides giving the explanation of 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.Q.If at least 100 of the 1600 satellites were serving O, what can be said about the number of satellites serving S?a)At most 475b)Exactly 475c)No conclusion is possible based on the given informationd)At least 475Correct answer is option 'A'. Can you explain this answer?, a detailed solution for 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.Q.If at least 100 of the 1600 satellites were serving O, what can be said about the number of satellites serving S?a)At most 475b)Exactly 475c)No conclusion is possible based on the given informationd)At least 475Correct answer is option 'A'. Can you explain this answer? has been provided alongside types of 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.Q.If at least 100 of the 1600 satellites were serving O, what can be said about the number of satellites serving S?a)At most 475b)Exactly 475c)No conclusion is possible based on the given informationd)At least 475Correct answer is option 'A'. Can you explain this answer? theory, EduRev gives you an ample number of questions to practice 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.Q.If at least 100 of the 1600 satellites were serving O, what can be said about the number of satellites serving S?a)At most 475b)Exactly 475c)No conclusion is possible based on the given informationd)At least 475Correct answer is option 'A'. Can you explain this answer? tests, examples and also practice CAT tests.
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