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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 the number of satellites serving at least two among B, C, and S is 1200, which of the following MUST be FALSE?
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 the number of satellites serving at least two among B, C, and S is 1200, which of the following MUST be FALSE?
- a)The number of satellites serving B exclusively is exactly 250
- b)The number of satellites serving B is more than 1000
- c)The number of satellites serving C cannot be uniquely determined
- d)All 1600 satellites serve B or C or S
Correct answer is option 'C'. Can you explain this answer?
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Verified Answer
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).
Let 'z' be the number of satellites serving B, C but not S. Since the numbers of satellites serving B, C, and S (though may be not exclusively) are in the ratio 2:1:1. Therefore, we can can say that number of satellites serving B, S but not C = z.
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,
Therefore, we can say that x ∈ [25, 80].
It is given that the number of satellites serving at least two among B, C, and S is 1200.
We can determine number of satellites in each of the following category. Hence, option C is definitely false. Therefore, we can say that option C is incorrect.
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).
Let 'z' be the number of satellites serving B, C but not S. Since the numbers of satellites serving B, C, and S (though may be not exclusively) are in the ratio 2:1:1. Therefore, we can can say that number of satellites serving B, S but not C = z.
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,
Therefore, we can say that x ∈ [25, 80].
It is given that the number of satellites serving at least two among B, C, and S is 1200.
We can determine number of satellites in each of the following category. Hence, option C is definitely false. Therefore, we can say that option C is incorrect.
Most Upvoted Answer
1600 satellites were sent up by a country for several purposes. The pu...
Understanding the Problem
To solve the problem, we need to analyze the given facts about the satellites serving various purposes.
Key Facts
- Ratios of Satellites: The ratio of satellites serving B, C, and S is 2:1:1.
- Common Satellites: 100 satellites serve all three purposes (B, C, and S).
- Exclusivity: Let x represent the number of satellites exclusively serving B. Then, the number of satellites exclusively serving C and S is 0.3x.
- O Satellites: The number of satellites serving O equals those serving both C and S but not B.
Analysis of Satellite Distribution
1. Assigning Values Based on Ratios:
- Let the total satellites serving B be 2y, C be y, and S be y.
- Total serving B, C, or S = 4y - 100 (subtract common satellites).
2. At least two satellites serving B, C, S:
- Total = 1200.
3. Calculating Exclusives:
- If x is the exclusive satellites for B, then the exclusives for C and S are 0.3x each.
- The count for satellites serving O is equal to the overlap of C and S without B.
Evaluating the Options
- Option a: If B exclusively is 250, it fits the requirement.
- Option b: If B is more than 1000, it also holds.
- Option c: The number of satellites serving C cannot be uniquely determined. This is true as variations in x can lead to different configurations.
- Option d: All 1600 satellites serve B, C, or S fits since it accounts for all satellites.
Conclusion
Thus, the statement that "the number of satellites serving C cannot be uniquely determined" is indeed the one that MUST be FALSE. This uncertainty arises from the variable nature of x, affecting the total count for C.
To solve the problem, we need to analyze the given facts about the satellites serving various purposes.
Key Facts
- Ratios of Satellites: The ratio of satellites serving B, C, and S is 2:1:1.
- Common Satellites: 100 satellites serve all three purposes (B, C, and S).
- Exclusivity: Let x represent the number of satellites exclusively serving B. Then, the number of satellites exclusively serving C and S is 0.3x.
- O Satellites: The number of satellites serving O equals those serving both C and S but not B.
Analysis of Satellite Distribution
1. Assigning Values Based on Ratios:
- Let the total satellites serving B be 2y, C be y, and S be y.
- Total serving B, C, or S = 4y - 100 (subtract common satellites).
2. At least two satellites serving B, C, S:
- Total = 1200.
3. Calculating Exclusives:
- If x is the exclusive satellites for B, then the exclusives for C and S are 0.3x each.
- The count for satellites serving O is equal to the overlap of C and S without B.
Evaluating the Options
- Option a: If B exclusively is 250, it fits the requirement.
- Option b: If B is more than 1000, it also holds.
- Option c: The number of satellites serving C cannot be uniquely determined. This is true as variations in x can lead to different configurations.
- Option d: All 1600 satellites serve B, C, or S fits since it accounts for all satellites.
Conclusion
Thus, the statement that "the number of satellites serving C cannot be uniquely determined" is indeed the one that MUST be FALSE. This uncertainty arises from the variable nature of x, affecting the total count for C.
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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 the number of satellites serving at least two among B, C, and S is 1200, which of the following MUST be FALSE?a)The number of satellites serving B exclusively is exactly 250b)The number of satellites serving B is more than 1000c)The number of satellites serving C cannot be uniquely determinedd)All 1600 satellites serve B or C or SCorrect answer is option 'C'. Can you explain this answer?
Question Description
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 the number of satellites serving at least two among B, C, and S is 1200, which of the following MUST be FALSE?a)The number of satellites serving B exclusively is exactly 250b)The number of satellites serving B is more than 1000c)The number of satellites serving C cannot be uniquely determinedd)All 1600 satellites serve B or C or SCorrect answer is option 'C'. 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 the number of satellites serving at least two among B, C, and S is 1200, which of the following MUST be FALSE?a)The number of satellites serving B exclusively is exactly 250b)The number of satellites serving B is more than 1000c)The number of satellites serving C cannot be uniquely determinedd)All 1600 satellites serve B or C or SCorrect answer is option 'C'. 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 the number of satellites serving at least two among B, C, and S is 1200, which of the following MUST be FALSE?a)The number of satellites serving B exclusively is exactly 250b)The number of satellites serving B is more than 1000c)The number of satellites serving C cannot be uniquely determinedd)All 1600 satellites serve B or C or SCorrect answer is option 'C'. Can you explain this answer?.
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 the number of satellites serving at least two among B, C, and S is 1200, which of the following MUST be FALSE?a)The number of satellites serving B exclusively is exactly 250b)The number of satellites serving B is more than 1000c)The number of satellites serving C cannot be uniquely determinedd)All 1600 satellites serve B or C or SCorrect answer is option 'C'. 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 the number of satellites serving at least two among B, C, and S is 1200, which of the following MUST be FALSE?a)The number of satellites serving B exclusively is exactly 250b)The number of satellites serving B is more than 1000c)The number of satellites serving C cannot be uniquely determinedd)All 1600 satellites serve B or C or SCorrect answer is option 'C'. 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 the number of satellites serving at least two among B, C, and S is 1200, which of the following MUST be FALSE?a)The number of satellites serving B exclusively is exactly 250b)The number of satellites serving B is more than 1000c)The number of satellites serving C cannot be uniquely determinedd)All 1600 satellites serve B or C or SCorrect answer is option 'C'. Can you explain this answer?.
Solutions 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 the number of satellites serving at least two among B, C, and S is 1200, which of the following MUST be FALSE?a)The number of satellites serving B exclusively is exactly 250b)The number of satellites serving B is more than 1000c)The number of satellites serving C cannot be uniquely determinedd)All 1600 satellites serve B or C or SCorrect answer is option 'C'. Can you explain this answer? in English & in Hindi are available as part of our courses for CAT.
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Here you can find the meaning 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 the number of satellites serving at least two among B, C, and S is 1200, which of the following MUST be FALSE?a)The number of satellites serving B exclusively is exactly 250b)The number of satellites serving B is more than 1000c)The number of satellites serving C cannot be uniquely determinedd)All 1600 satellites serve B or C or SCorrect answer is option 'C'. 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 the number of satellites serving at least two among B, C, and S is 1200, which of the following MUST be FALSE?a)The number of satellites serving B exclusively is exactly 250b)The number of satellites serving B is more than 1000c)The number of satellites serving C cannot be uniquely determinedd)All 1600 satellites serve B or C or SCorrect answer is option 'C'. 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 the number of satellites serving at least two among B, C, and S is 1200, which of the following MUST be FALSE?a)The number of satellites serving B exclusively is exactly 250b)The number of satellites serving B is more than 1000c)The number of satellites serving C cannot be uniquely determinedd)All 1600 satellites serve B or C or SCorrect answer is option 'C'. 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 the number of satellites serving at least two among B, C, and S is 1200, which of the following MUST be FALSE?a)The number of satellites serving B exclusively is exactly 250b)The number of satellites serving B is more than 1000c)The number of satellites serving C cannot be uniquely determinedd)All 1600 satellites serve B or C or SCorrect answer is option 'C'. 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 the number of satellites serving at least two among B, C, and S is 1200, which of the following MUST be FALSE?a)The number of satellites serving B exclusively is exactly 250b)The number of satellites serving B is more than 1000c)The number of satellites serving C cannot be uniquely determinedd)All 1600 satellites serve B or C or SCorrect answer is option 'C'. Can you explain this answer? tests, examples and also practice CAT tests.
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