Can you find a number that lies one third of the distance between 1/3 and 2/3?

I cannot talk, but I always reply when spoken to. What am I?

Find the next number in the series.
1 10 24 43 67 ?

Find the next number in the series

12, 20, 40, 72, 116, 172 ?

Can you make a six-letter word using the letters N, A and B ?

I have lakes with no water, mountains with no stone and cities with no buildings. What am I?

Divide 110 into two parts so that one will be 150 per cent of the other. What are the 2 numbers?

A maths symbol is hidden in the below Bar Graph. Can you decipher it?

You along with your friend are standing in front of two houses. Each of those houses inhabits a family with two children.

Your friend tells you the below two facts:
1) On your left is a family that has a boy who likes accounts but the other child loves science.
2) On the right is a family with a seven-year-old boy and a newborn baby.

You ask him, "Does either of the family have a girl?"

To this, he replies, "I am not quite sure. But can you guess that? If you are right, I will give you $500."

Which family do you think is likely to have a girl?

There is a box in which distinct numbered balls have been kept. You have to pick two balls randomly from the lot.

If someone is offering you a 2 to 1 odds that the numbers will be relatively prime, for example
If the balls you picked had the numbers 6 and 13, you lose $1.
If the balls you picked had the numbers 5 and 25, you win $2.

Will you accept that bet?