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GATE 2018 ME (ME1) – Question 6

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

For integers a, b, c with $\log|a|+\log|b|+\log|c|=0$, find the minimum and maximum of a+b+c respectively.

  1. −3 and 3
  2. −1 and 1
  3. −1 and 3
  4. 1 and 3

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Correct answer: (A) −3 and 3

Explanation

The log equation gives $|abc|=1$. Nonzero integer magnitudes must each be 1. All three negative gives −3; all positive gives 3. Thus the minimum and maximum are −3 and 3 (A).