Solution: How many persons have no brand preference, satisfied with any of the three brands?

(Last Updated On: January 4, 2018)

How many persons have no brand preference, satisfied with any of the three brands?

Problem Statement: EE Board March 1998

In a commercial survey involving 1000 persons on brand preference, 120 were found to prefer brand x only, 200 prefer brand y only, 150 prefer brand z only, 370 prefer either brand x or y but not z, 450 prefer brand y or z but not x and 370 prefer either brand z or x but not y. How many persons have no brand preference, satisfied with any of the three brands?

Problem Answer:

There are 280 persons who have no brand preference, satisfied with any of the three brands.

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Solution: How many persons have no brand preference, satisfied with any of the three brands?
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