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Question 3 : An elevator has a weight limit of 630 kg. It is carrying a group of people of whom the heaviest weighs 57 kg and the lightest weighs 53 kg. What is the maximum possible number of people in the group? [TITA]

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Video Explanation

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Explanatory Answer

Method of solving this CAT Question from Averages

Given that an elevator has a weight limit of 630 kg.
It is carrying a group of people of whom the heaviest weighs 57 kg and the lightest weighs 53 kg.
We have to find the maximum possible number of people in the group.
We can take one person to be 57 kg and since they have asked for the maximum possible number of people it can accommodate in the lift we can take more no. of people with lightest weight.

So, at least one guy with 57 kg.
⟹ 630 – 57 = 573
⟹ \\frac{573}{53}) = 10.8 or at most there can 10 people.
Hence, 10 + 1 = 11 people
The maximum possible number of people in the group is 11.

The question is "An elevator has a weight limit of 630 kg. It is carrying a group of people of whom the heaviest weighs 57 kg and the lightest weighs 53 kg. What is the maximum possible number of people in the group? [TITA]"

Hence, the answer is 11