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JEE Math Practice Question

Two number $\mathrm{k}_1$ and $\mathrm{k}_2$ are randomly chosen from the set of natural numbers. Then, the probability that the value of $\mathrm{i}^{\mathrm{k}_1}+\mathrm{i}^{\mathrm{k}_2},(\mathrm{i}=\sqrt{-1})$ is non-zero, equals

  1. A.$\frac{3}{4}$
  2. B.$\frac{1}{2}$
  3. C.$\frac{1}{4}$
  4. D.$\frac{2}{3}$

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