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?

11

As per the question from CAT 2017 – Quantitative Aptitude – Algebra – Maxima and Minima, we can see that,

53 + â€¦â€¦.. + 57 = 630

Remaining sum of weights = 630 â€“ 53 â€“ 57 = 520

Now, the minimum weight can be 53. So, to find maximum number of people

N(max) = 520/53 = 9.81

So, maximum number of people possible = 9+2 = 11

Answer: 11

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