GATE EE 2019 Set 1 — Question 9
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General Aptitude → Analytical Aptitude → Numerical Relations & Reasoning
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Question
Given two sets and , we construct a set of all possible fractions where the numerators belong to set and the denominators belong to set . The product of elements having minimum and maximum values in the set is ________.
Correct answer
(D) 3/8
Solution
Given and . The set consists of fractions where and .
The minimum value in is obtained by taking the smallest numerator from and the largest denominator from : .
The maximum value in is obtained by taking the largest numerator from and the smallest denominator from : .
The product of the minimum and maximum values is .
The minimum value in is obtained by taking the smallest numerator from and the largest denominator from : .
The maximum value in is obtained by taking the largest numerator from and the smallest denominator from : .
The product of the minimum and maximum values is .
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