Can you find out the smallest number that can be conveyed as the sum of three squares in three unique ways?

I am quite hot but become too cold if you remove the first two letters. What am I?

In the Mexico City area, there are two Houses H1 and H2. Both H1 and H2 have two children each.
In House H1, The boy plays for Mexico Youth academy and the other child plays baseball.
In House H2, The boy Plays soccer for his school in Mexico and they recently have a newborn.

Can you prove that the probability of House-H1 having a girl child is more than that of House-H2?

You are presented with three boxes. One of them has a red ball inside and the other two have a black ball inside each of them. You are asked to pick up the one with red ball and you pick one. Now, one of the other boxes is opened and it is found to have a black ball.

You are presented with a chance to change your box with the one that is left closed. Will you change your box? Why or why not?

You walk into a room that contains a match, a kerosene lamp, a candle and a fireplace. What would you light first?

Why are all black people so quick ?

O_er_t_o_

Complete the missing letters of the given word.

The following "Brain Bat" means Slow Down.
S
L
O
W

Using the same logic, can you tell us what does the following Brain Bat means ?
E
V
I
G

There are are five things wrong with this sentence; only geniuses will be able to to spot all of the mitstakes

I have a hole in my back and legs I lack.
I live where I can’t breathe and I eat without teeth.
What am I?