Question of the Day 08-07-2020

Question of the Day
GATE 2017   CS   Question No. 26

Let G= (V,E) be any connected undirected edge-weighted graph. The weight of the edges in E are positive and distinct. Consider the following statements:

(I) Munimum Spanning Tree of G is always unique.

(II) shortest path between any two vertices of G is always unique.

Which of the above statements is/are necessarily true?