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In a city 'X', there are 240 users who use three different types of vehicles: bike, car, and truck. The number of users of all three vehicles is 2.5% of the total number of users. The number of users of both car and truck is 36 more than the number of users of only bikes. The number of users of both car and bike is equal to the number of users of both truck and bike. The number of users of both car and bike is half the number of users of only bikes, and the number of users of only trucks is 10 less than the number of users of only bikes. The number of users of only bikes is 34. Find the difference between the average number of users of only bikes and only trucks and the average number of users of only cars and only bikes.

1. None of these
2. 6
3. 8
4. 4

Correct answer: None of these

Solution

This is a three-set Venn diagram problem. Using the given relations, the exclusive counts can be derived, and the required difference between the two averages does not match 6, 8, or 4. Hence, the correct option is None of these.

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