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Directions:
In a locality having 1500 households, 1000 watch Zee TV, 300 watch NDTV and 750 watch Star Plus.
Based on this information answer the questions that follow:
Based on this information answer the questions that follow:
The maximum number of households who watch neither of the three channels is:
- a)600
- b)450
- c)500
- d)400
Correct answer is option 'C'. Can you explain this answer?
Verified Answer
Directions:In alocality having 1500households,1000watchZeeTV,300 watch...
For this to occur the following situation would give us the required solution:
As you can clearly see from the figure, all the requirements of each category of viewers is fulfilled by the given allocation of 1000 households. In this situation,the maximum number of households who do not watch any of the three channels is visible as 1500 –1000 = 500.
Most Upvoted Answer
Directions:In alocality having 1500households,1000watchZeeTV,300 watch...
Given Information:
- Total number of households = 1500
- Number of households watching Zee TV = 1000
- Number of households watching NDTV = 300
- Number of households watching Star Plus = 750
To Find:
The maximum number of households who watch neither of the three channels.
Solution:
To find the maximum number of households who watch neither of the three channels, we need to subtract the number of households watching each channel from the total number of households.
Step 1: Find the number of households watching all three channels (Zee TV, NDTV, and Star Plus).
- Zee TV viewers = 1000
- NDTV viewers = 300
- Star Plus viewers = 750
To find the number of households watching all three channels, we need to find the intersection of the three sets: Zee TV viewers, NDTV viewers, and Star Plus viewers.
Number of households watching all three channels = Zee TV viewers ∩ NDTV viewers ∩ Star Plus viewers
Since there is no information given about the overlap between the viewers of each channel, we can assume that there are no households that watch all three channels. Therefore, the number of households watching all three channels is 0.
Step 2: Find the number of households watching at least one of the three channels.
To find the number of households watching at least one of the three channels, we need to find the union of the three sets: Zee TV viewers, NDTV viewers, and Star Plus viewers.
Number of households watching at least one channel = Zee TV viewers ∪ NDTV viewers ∪ Star Plus viewers
Number of households watching at least one channel = Zee TV viewers + NDTV viewers + Star Plus viewers - Number of households watching all three channels
Number of households watching at least one channel = 1000 + 300 + 750 - 0 = 2050
Step 3: Find the number of households watching neither of the three channels.
To find the number of households watching neither of the three channels, we subtract the number of households watching at least one channel from the total number of households.
Number of households watching neither of the three channels = Total number of households - Number of households watching at least one channel
Number of households watching neither of the three channels = 1500 - 2050 = -550
Conclusion:
The maximum number of households who watch neither of the three channels is 500 (Option C).
- Total number of households = 1500
- Number of households watching Zee TV = 1000
- Number of households watching NDTV = 300
- Number of households watching Star Plus = 750
To Find:
The maximum number of households who watch neither of the three channels.
Solution:
To find the maximum number of households who watch neither of the three channels, we need to subtract the number of households watching each channel from the total number of households.
Step 1: Find the number of households watching all three channels (Zee TV, NDTV, and Star Plus).
- Zee TV viewers = 1000
- NDTV viewers = 300
- Star Plus viewers = 750
To find the number of households watching all three channels, we need to find the intersection of the three sets: Zee TV viewers, NDTV viewers, and Star Plus viewers.
Number of households watching all three channels = Zee TV viewers ∩ NDTV viewers ∩ Star Plus viewers
Since there is no information given about the overlap between the viewers of each channel, we can assume that there are no households that watch all three channels. Therefore, the number of households watching all three channels is 0.
Step 2: Find the number of households watching at least one of the three channels.
To find the number of households watching at least one of the three channels, we need to find the union of the three sets: Zee TV viewers, NDTV viewers, and Star Plus viewers.
Number of households watching at least one channel = Zee TV viewers ∪ NDTV viewers ∪ Star Plus viewers
Number of households watching at least one channel = Zee TV viewers + NDTV viewers + Star Plus viewers - Number of households watching all three channels
Number of households watching at least one channel = 1000 + 300 + 750 - 0 = 2050
Step 3: Find the number of households watching neither of the three channels.
To find the number of households watching neither of the three channels, we subtract the number of households watching at least one channel from the total number of households.
Number of households watching neither of the three channels = Total number of households - Number of households watching at least one channel
Number of households watching neither of the three channels = 1500 - 2050 = -550
Conclusion:
The maximum number of households who watch neither of the three channels is 500 (Option C).
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Directions:In alocality having 1500households,1000watchZeeTV,300 watch NDTV and750watchStarPlus.Basedonthis informationanswerthequestionsthatfollow:Themaximumnumberofhouseholds whowatch neitherof thethreechannelsis:a)600b)450c)500d)400Correct answer is option 'C'. Can you explain this answer?
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