Question

in which liquid ice cube does not starts to melt

Answer 1

common salt is the best sorce of that

Answer 2

Ice doesn't melt faster at salt water because it is much denser than tap water, warm or cold. So when you put a freshwater ice cube in a glass of salt water, the cold water coming off the ice cube doesn’t sink at all. Instead, the dense salt water stays at the bottom of the glass and the cold water stays on the top. Without any convection currents to carry the cold water away from the ice cube, the ice cube melts much more slowly.   

Hope this helps....