Quantitative Aptitude - Algebra - Maxima Minima - If three sides of a rectangular
Quantitative Aptitude - Algebra - Maxima Minima
Question
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
Answer
200
Solution
From CAT 2017 - Quantitative Aptitude - Algebra - Maxima Minima, we can see that,
Let a and b be the two sides of a rectangle.
a + 2b = 400
Area of rectangle = ab (We have to maximize it)
b = (400-a)/2
Put the value of b in ar

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Quantitative Aptitude - Algebra - Maxima Minima - If a, b, c, and d are integers
Quantitative Aptitude - Algebra - Maxima Minima
Question
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
Answer
2
Solution
From CAT 2017 - Quantitative Aptitude - Algebra - Maxima Minima, we can see that,
a + b + c + d = 30
a, b, c, d are integers. (a â€“ b)^2 + (a â€“ c)^2 + (a â€“ d)^2 would have its minimum value when each bracket has the least possible value. Let

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