In a survey it was found that the number of people that like only Pepsi only Coke both Coke and Peps...........

Quantitative Aptitude ( CCS) Set theory

In a survey it was found that, the number of people that like only Pepsi, only Coke, both Coke and Pepsi and neither of them are 2n, 3n, 69/n, 69/3n respectively. What is the no of people who drink coke?

both 1 and 2

cannot be determined

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Explanation:

Since the no. of people cannot be in fraction in any situation.
We can deduce that the values of n and 3n need to be factors of 69.
Thus the value of n can only be either 1 or 23.
So the no of people who drink coke is equal to 3n + 69/n = 72 for both 1 and 23.