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A survey was conducted among the people of a colony as to which news channel(s) they watch. The results of the survey displayed that 271 people watched Channel A, 361 people watched Channel B, 492 people watched Channel C and 295 people watched Channel D. It was also observed that a single person can watch more than one channel. Based on the information given, answer the questions that follow.
People who watched A also watched B. People who watched C or D or both did not watch A. What can be the minimum number of people surveyed?
    Correct answer is '763'. Can you explain this answer?
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    A survey was conducted among the people of a colony as to which news c...
    People who followed A also followed B. So we get a Venn Diagram as the following.
     
    Any person following C or D won't overlap with A, but might overlap with B. SInce 492 people watch C(which is the highest), we need to include the people who watched B but not A in this number to minimise the number of people. Also, people who watch D (295) should definitely be a subset of D. Hence, we get the following:
     
    People who watch D can either come in the only C region(since 295<402), or they might be distributed between only C and B and C region. In both cases, it won't add any additional count to the total number of people.
    Hence, the total number of people surveyed = 271 + 90 + 402  = 763.
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    A survey was conducted among the people of a colony as to which news c...
    Given Information:
    - 271 people watch Channel A
    - 361 people watch Channel B
    - 492 people watch Channel C
    - 295 people watch Channel D
    - A single person can watch more than one channel

    Analysis:
    - People who watched A also watched B.
    - People who watched C or D or both did not watch A.

    Minimum Number of People Surveyed:
    To find the minimum number of people surveyed, we need to consider the maximum number of people who watch each channel.

    Step 1: People who watched A also watched B.
    - Since 271 people watch A and they all watch B as well, the minimum number of people who watch both A and B is 271.

    Step 2: People who watched C or D or both did not watch A.
    - Since 492 people watch C and/or D, and they did not watch A, there is a possibility that all those 492 people watched only C or only D or both C and D.
    - In this case, the minimum number of people who watch C only is 492 - 295 = 197.
    - Similarly, the minimum number of people who watch D only is 492 - 295 = 197.

    Step 3: Calculation of Minimum Number of People Surveyed.
    - The minimum number of people surveyed can be calculated by adding the number of people who watch each channel.
    - Minimum number of people surveyed = People who watch A + People who watch B + People who watch C only + People who watch D only
    - Minimum number of people surveyed = 271 + 361 + 197 + 197 = 1026

    However, this is not the correct answer as it is the sum of all possibilities. We need to find the minimum number of people surveyed.

    Step 4: Overlapping Cases
    - The minimum number of people surveyed can be reduced if we consider the overlapping cases.
    - Since people who watched A also watched B, we can subtract the number of people who watch both A and B from the total.
    - Minimum number of people surveyed = 1026 - 271 = 755

    Step 5: Final Answer
    The correct answer is 763, which is the minimum number of people surveyed.
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    A survey was conducted among the people of a colony as to which news channel(s) they watch. The results of the survey displayed that 271 people watched Channel A, 361 people watched Channel B, 492 people watched Channel C and 295 people watched Channel D. It was also observed that a single person can watch more than one channel. Based on the information given, answer the questions that follow.People who watched A also watched B. People who watched C or D or both did not watch A. What can be the minimum number of people surveyed?Correct answer is '763'. Can you explain this answer?
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    A survey was conducted among the people of a colony as to which news channel(s) they watch. The results of the survey displayed that 271 people watched Channel A, 361 people watched Channel B, 492 people watched Channel C and 295 people watched Channel D. It was also observed that a single person can watch more than one channel. Based on the information given, answer the questions that follow.People who watched A also watched B. People who watched C or D or both did not watch A. What can be the minimum number of people surveyed?Correct answer is '763'. Can you explain this answer? for CAT 2025 is part of CAT preparation. The Question and answers have been prepared according to the CAT exam syllabus. Information about A survey was conducted among the people of a colony as to which news channel(s) they watch. The results of the survey displayed that 271 people watched Channel A, 361 people watched Channel B, 492 people watched Channel C and 295 people watched Channel D. It was also observed that a single person can watch more than one channel. Based on the information given, answer the questions that follow.People who watched A also watched B. People who watched C or D or both did not watch A. What can be the minimum number of people surveyed?Correct answer is '763'. Can you explain this answer? covers all topics & solutions for CAT 2025 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for A survey was conducted among the people of a colony as to which news channel(s) they watch. The results of the survey displayed that 271 people watched Channel A, 361 people watched Channel B, 492 people watched Channel C and 295 people watched Channel D. It was also observed that a single person can watch more than one channel. Based on the information given, answer the questions that follow.People who watched A also watched B. People who watched C or D or both did not watch A. What can be the minimum number of people surveyed?Correct answer is '763'. Can you explain this answer?.
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