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GATE 2020 PI – Question 9

General Aptitude · Quantitative Aptitude: Algebra, Geometry and Mensuration · 2 marks · Multiple choice

The graph shows XY varying linearly with Z along a straight line through the origin. Which statement is FALSE?

Diagram for GATE 2020 PI question 9
  1. For fixed Z, X is proportional to Y.
  2. For fixed Y, X is proportional to Z.
  3. For fixed X, Z is proportional to Y.
  4. XY/Z is constant.

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Show answer and explanation

Correct answer: (A) For fixed Z, X is proportional to Y.

Explanation

The graph means XY=kZ for constant k. At fixed Z, X=kZ/Y, so X is inversely proportional to Y, making A false. Fixing either X or Y gives the direct proportionalities in B and C, and dividing by Z gives D.

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