How to fill gap between wall and floor tiles?

[msgforsunil]

Hello all

1.There is gap between the wall and the tile which is shown in red arrow. I am not sure why this gap and water can be stagnate there if not clean. Should I concrete it with slope towards tile so that water flows always? Can you please give better insight?

2. How do I close the gap shown in blue? Not sure, if water can seep in via it?

Thank you