CAT 2017 Slot 1 — QA Question 3
Basics of AverageEasy
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?
Answer & solution
Answer: 11
Solution
There must be at least 1 person with weight 57 kg.
Remaining persons weigh a total of 630 - 57 = 573.
Maximum number of people in the group can be 573/53 + 1 (one who's weight is 57 kg) i.e. 10 + 1 = 11.
Hence, 11.