GATE Electrical Engineering (EE) 2019 Solved Paper

Question : 6 of 65

Marks: +1, -0

Given two sets

X=\{1,2,3\}

and

Y=\{2,3,4\}

, we construct a set

Z

of all possible fractions where the numerators belong to set

{X}

and the denominators belong to set

{Y}

. The product of elements having minimum and maximum values in the set

Z

Solution:

Given data:
Set

z=\{\;{1}/{2}, \;{1}/{3}, \;{1}/{4}, \;{2}/{2}, \;{2}/{3}, \;{2}/{4}, \;{3}/{2}, \;{3}/{3}, \;{3}/{4}\}

\max =\;{3}/{2}

\min =\;{1}/{4}

\max × \min =\;{3}/{2} × \;{1}/{4}=\;{3}/{8}

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