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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. Which product is the most popular one?
  • a)
    X
  • b)
    Y
  • c)
    Z
  • d)
    Both X and Z
Correct answer is option 'A'. Can you explain this answer?
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.

Hence, X is most popular product.
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Most Upvoted Answer
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Understanding the Data
To determine the most popular product among X, Y, and Z, let's analyze the information provided:
- Total houses visited: 274
- Users of product X: 157
- Users of only product X: 98
- Users of all three products (X, Y, Z): 22
- Users of X and Z but not Y: 14
- Users of Y and Z: 39
- Users of only product Y: 48

Product X User Breakdown
- Users of X only: 98
- Users of X, Y, and Z: 22
- Users of X and Z but not Y: 14
- Total users of X:
- Calculation: 98 (only X) + 22 (all three) + 14 (X and Z but not Y) = 134
- Note: 157 users of X includes those using Y and Z as well.

Product Y User Breakdown
- Users of only Y: 48
- Users of Y and Z: 39 (this includes those using only Y and those using Y and Z)
- Total users of Y:
- Calculation: 48 (only Y) + 39 (Y and Z) = 87 (this includes overlap with Z)

Product Z User Breakdown
- Total users of Z can be inferred from the data. Since 39 use Y and Z, and 22 use all three, we can analyze further. However, the total number of Z users is less significant when comparing popularity to X and Y.

Conclusion
By comparing the total users of each product:
- Total users of X: 157
- Total users of Y: 87
- Total users of Z: Not explicitly calculated but is likely lower than X.

Final Insight
Since X has the highest number of users (157), it is the most popular product in this survey. Thus, the correct answer is option 'A': X.
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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. Which product is the most popular one?a)Xb)Yc)Zd)Both X and ZCorrect answer is option 'A'. Can you explain this answer?
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