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In a survey it was found that, the number of people that like only Pepsi, only Coke, both Coke and Pepsi, neither coke nor pepsi are $2 n, 3 n, \frac{69}{n}, \frac{69}{3 n}$ respectively then number of people who can drink coke is

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Both a and b

Cannot determine

answer is A.

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Detailed Solution

Since the number 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 values of n can only be either 1 or 23

Number of people who drink Coke is equal to $3 n + \frac{69}{n} = 72$ for both 1 and 23

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