The number of persons who read magazine X only is thrice the number of persons who read magazine Y. The number of persons who read magazine Y only is thrice the number of persons who read magazine X. Then, which of the following conclusions can be drawn ?
1. The number of persons who read both the magazines is twice the number of persons who read only magazine X.
2. The total number of persons who read either one magazine or both the magazines is twice the number of persons who read both the magazines.
Select the correct answer using the code given below:
A
1 only
B
2 only
C
Both 1 and 2
D
Neither 1 nor 2
Correct Answer: Option X
Explanation
First, let's define our terms to avoid confusion, a key step in set theory problems like those from 2014 [8, 10].
- Let `Xo` be the number of people who read only magazine X.
- Let `Yo` be the number of people who read only magazine Y.
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