Quantitative Aptitude – Algebra – Maxima Minima – An elevator has a weight

Quantitative Aptitude – Algebra – Maxima Minima

Question

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

11

Solution

As per the question from CAT 2017 – Quantitative Aptitude – Algebra – Maxima and Minima, we can see that,
53 + …….. + 57 = 630
Remaining sum of weights = 630 – 53 – 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

Download CAT 2017 Question Paper with answers and detailed solutions in PDF

CAT 2017 Questions from Quantitative Aptitude – Algebra

Quantitative Aptitude – Algebra – Maxima Minima – Q1: If three sides of a rectangular park have a total length 400 ft, then the area of the park is maximum when the length (in ft) of its longer side is
Quantitative Aptitude – Algebra – Maxima Minima – Q2: If a, b, c, and d are integers such that a + b + c + d = 30, then the minimum possible value of (a – b)^2 + (a – c)^2 + (a – d)^2 is
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