GATE ME 2020 Set 2 — Question 9
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General Aptitude → Analytical Aptitude → Data Interpretation (Bar, Pie, Graphs, Tables)
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Question
An engineer measures THREE quantities , and in an experiment. She finds that they follow a relationship that is represented in the figure below: (the product of and linearly varies with )
Then, which of the following statements is FALSE?

Correct answer
(A) For fixed Z; X is proportional to Y
Solution
From the graph, varies linearly with and passes through the origin, so , where is a constant.Checking the options:
(A) For fixed , . Thus, is inversely proportional to . The statement 'X is proportional to Y' is FALSE.
(B) For fixed , . This is TRUE.
(C) For fixed , . This is TRUE.
(D) (a constant). This is TRUE.The question asks for the FALSE statement, which is (A).
(A) For fixed , . Thus, is inversely proportional to . The statement 'X is proportional to Y' is FALSE.
(B) For fixed , . This is TRUE.
(C) For fixed , . This is TRUE.
(D) (a constant). This is TRUE.The question asks for the FALSE statement, which is (A).
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