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GATE 2018 CE (CE2) – Question 5

General Aptitude · Quantitative Aptitude: Algebra, Geometry and Mensuration · 1 mark · Multiple choice

For nonnegative integers a, b, c satisfying $\log a+\log b+\log c=0$, find $a+b+c$.

  1. 3
  2. 1
  3. 0
  4. −1

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Correct answer: (A) 3

Explanation

The logarithms require positive a, b, c. Their sum is $\log(abc)=0$, hence $abc=1$. Positive integers with product 1 must each be 1. Thus $a+b+c=3$ (A).