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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? i. The number of persons who read both the magazines is twice the number of persons who read only magazine X. ii. 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:

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? i. The number of persons who read both the magazines is twice the number of persons who read only magazine X. ii. 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: Correct Answer Both i and ii


The number of people who read only magazine X = A
The number of people who read only magazine Y = C
The number of people who read both the magazines = B
3A = B + C
3C = B + A
3A - C = 3C - A
⇒ 4A = 4C
⇒ A = C
Now, if we substitute A = C in the first two equations, we get
B = 2A = 2C = A + C
Hence, the number of people who read both the magazines are twice the number of people who read only magazine X.
Also, the number of people who either read only one magazine or both magazines = B + (A + C) = B + B = 2B

 Hence, 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.

Thus, both conclusions are true.

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