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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. What fraction used at least two products?
  • a)
    67/274
  • b)
    76/274
  • c)
    73/274
  • d)
    37/274
Correct answer is option 'B'. 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.
Therefore, people who used at least two products = people who used two products + people who used all products = people who used X & Y only + people who used X & Z only + people who used Y & Z only + people who used all = people who used X & Y only + people who used X & Z only + people who used Y & Z = 23 + 14 + 39 = 76.
Therefore, 76/274 fraction of total people used at least two products.
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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. What fraction used at least two products?a)67/274b)76/274c)73/274d)37/274Correct answer is option 'B'. Can you explain this answer?
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