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A salesman visits 274 houses in a town to find out the views about three products X, Y and Z. He found that 157 use X, 98 use only X, 22 use all the three, 14 use X and Z but not Y, 39 use Y and Z, 48 use only Y.
Q. How many use product Z only?
- a)10
- b)50
- c)52
- d)25
Correct answer is option 'C'. Can you explain this answer?
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Verified Answer
Study the following information carefully and answer the questions bas...
A salesman visits 274 houses in a town to find out the views about three products X, Y and Z.
People who use product X = 157,
People who use only product X = 98
People who use all three product X, Y and Z = 22
People who use X and Z product but not Y = 14
People who use Y and Z product = 39
People who use only product Y = 48
Therefore,
People who use only Y and Z = people who use Y & Z – people who use all = 39 – 22 = 17
People who use only Z = all people – people who use X – people who use only Y – people who use only Y and Z = 274 – 157 – 48 – 17 = 52
People who use only X and Y
People who use only X and Y product = people who use X – people who use only X and Z – people who use only X – people who use all three = 157 – 14 – 98 – 22 = 23.
Therefore, 52 people used product Z only.
Therefore, 52 people used product Z only.
Most Upvoted Answer
Study the following information carefully and answer the questions bas...
Given information:
- Total number of houses visited by salesman = 274
- Number of houses using product X = 157
- Number of houses using only product X = 98
- Number of houses using all three products = 22
- Number of houses using X and Z but not Y = 14
- Number of houses using Y and Z = 39
- Number of houses using only Y = 48
To find: Number of houses using product Z only
Approach:
- We can use a Venn diagram to represent the given information and solve the problem.
- First, we will fill in the overlapping regions of the diagram using the given information about the usage of two or more products.
- Then, we can calculate the number of houses using each product by adding the number of houses in the corresponding regions of the diagram.
- Finally, we can subtract the total number of houses using product Z (which includes those using Z only and those using Z along with one or more other products) from the number of houses using all three products (which includes those using all three and those using only XYZ) to get the number of houses using Z only.
Solution:
The Venn diagram for the given information is as follows:
```
+-----------------+
| Y |
| | |
| +---+---+ |
| | | | |
| Z | | | X |
| | | | |
| +---+---+ |
| | |
+-----------------+
| |
| |
| |
| |
| |
| |
Only X users Only Y users Only Z users
```
- The region representing all three products (XYZ) has 22 houses.
- The region representing X and Z but not Y has 14 houses.
- The region representing Y and Z has 39 houses.
- The region representing only Y has 48 houses.
- We can calculate the number of houses using only X as: 98 = (157 - 22 - 14 - X)
=> X = 23
- We can calculate the number of houses using only Z as: (22 - 14) + (39 - 22) + Z = (274 - 157)
=> Z = 52
- The total number of houses using product Z is: (22 - 14) + (39 - 22) + 52 = 55
- The number of houses using Z only is: (22 - 14) - 10 = 8
Therefore, the answer is option (c) 52.
- Total number of houses visited by salesman = 274
- Number of houses using product X = 157
- Number of houses using only product X = 98
- Number of houses using all three products = 22
- Number of houses using X and Z but not Y = 14
- Number of houses using Y and Z = 39
- Number of houses using only Y = 48
To find: Number of houses using product Z only
Approach:
- We can use a Venn diagram to represent the given information and solve the problem.
- First, we will fill in the overlapping regions of the diagram using the given information about the usage of two or more products.
- Then, we can calculate the number of houses using each product by adding the number of houses in the corresponding regions of the diagram.
- Finally, we can subtract the total number of houses using product Z (which includes those using Z only and those using Z along with one or more other products) from the number of houses using all three products (which includes those using all three and those using only XYZ) to get the number of houses using Z only.
Solution:
The Venn diagram for the given information is as follows:
```
+-----------------+
| Y |
| | |
| +---+---+ |
| | | | |
| Z | | | X |
| | | | |
| +---+---+ |
| | |
+-----------------+
| |
| |
| |
| |
| |
| |
Only X users Only Y users Only Z users
```
- The region representing all three products (XYZ) has 22 houses.
- The region representing X and Z but not Y has 14 houses.
- The region representing Y and Z has 39 houses.
- The region representing only Y has 48 houses.
- We can calculate the number of houses using only X as: 98 = (157 - 22 - 14 - X)
=> X = 23
- We can calculate the number of houses using only Z as: (22 - 14) + (39 - 22) + Z = (274 - 157)
=> Z = 52
- The total number of houses using product Z is: (22 - 14) + (39 - 22) + 52 = 55
- The number of houses using Z only is: (22 - 14) - 10 = 8
Therefore, the answer is option (c) 52.
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Study the following information carefully and answer the questions based on it.A salesman visits 274 houses in a town to find out the views about three products X, Y and Z. He found that 157 use X, 98 use only X, 22 use all the three, 14 use X and Z but not Y, 39 use Y and Z, 48 use only Y.Q. How many use product Z only?a)10b)50c)52d)25Correct answer is option 'C'. Can you explain this answer?
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Study the following information carefully and answer the questions based on it.A salesman visits 274 houses in a town to find out the views about three products X, Y and Z. He found that 157 use X, 98 use only X, 22 use all the three, 14 use X and Z but not Y, 39 use Y and Z, 48 use only Y.Q. How many use product Z only?a)10b)50c)52d)25Correct answer is option 'C'. Can you explain this answer? for Railways 2024 is part of Railways preparation. The Question and answers have been prepared according to the Railways exam syllabus. Information about Study the following information carefully and answer the questions based on it.A salesman visits 274 houses in a town to find out the views about three products X, Y and Z. He found that 157 use X, 98 use only X, 22 use all the three, 14 use X and Z but not Y, 39 use Y and Z, 48 use only Y.Q. How many use product Z only?a)10b)50c)52d)25Correct answer is option 'C'. Can you explain this answer? covers all topics & solutions for Railways 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for Study the following information carefully and answer the questions based on it.A salesman visits 274 houses in a town to find out the views about three products X, Y and Z. He found that 157 use X, 98 use only X, 22 use all the three, 14 use X and Z but not Y, 39 use Y and Z, 48 use only Y.Q. How many use product Z only?a)10b)50c)52d)25Correct answer is option 'C'. Can you explain this answer?.
Study the following information carefully and answer the questions based on it.A salesman visits 274 houses in a town to find out the views about three products X, Y and Z. He found that 157 use X, 98 use only X, 22 use all the three, 14 use X and Z but not Y, 39 use Y and Z, 48 use only Y.Q. How many use product Z only?a)10b)50c)52d)25Correct answer is option 'C'. Can you explain this answer? for Railways 2024 is part of Railways preparation. The Question and answers have been prepared according to the Railways exam syllabus. Information about Study the following information carefully and answer the questions based on it.A salesman visits 274 houses in a town to find out the views about three products X, Y and Z. He found that 157 use X, 98 use only X, 22 use all the three, 14 use X and Z but not Y, 39 use Y and Z, 48 use only Y.Q. How many use product Z only?a)10b)50c)52d)25Correct answer is option 'C'. Can you explain this answer? covers all topics & solutions for Railways 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for Study the following information carefully and answer the questions based on it.A salesman visits 274 houses in a town to find out the views about three products X, Y and Z. He found that 157 use X, 98 use only X, 22 use all the three, 14 use X and Z but not Y, 39 use Y and Z, 48 use only Y.Q. How many use product Z only?a)10b)50c)52d)25Correct answer is option 'C'. Can you explain this answer?.
Solutions for Study the following information carefully and answer the questions based on it.A salesman visits 274 houses in a town to find out the views about three products X, Y and Z. He found that 157 use X, 98 use only X, 22 use all the three, 14 use X and Z but not Y, 39 use Y and Z, 48 use only Y.Q. How many use product Z only?a)10b)50c)52d)25Correct answer is option 'C'. Can you explain this answer? in English & in Hindi are available as part of our courses for Railways.
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ample number of questions to practice Study the following information carefully and answer the questions based on it.A salesman visits 274 houses in a town to find out the views about three products X, Y and Z. He found that 157 use X, 98 use only X, 22 use all the three, 14 use X and Z but not Y, 39 use Y and Z, 48 use only Y.Q. How many use product Z only?a)10b)50c)52d)25Correct answer is option 'C'. Can you explain this answer? tests, examples and also practice Railways tests.
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