I have branches, but no fruit, trunk or leaves. What am I?

The barber of Town shaves all men living in the town. No man living in the town is allowed to shave himself. The barber lives in that town. Who then shaves the barber of the town?

Place the numbers from 1 to 9 in the circles in a manner that each side of the triangle sums up to 17.

No matter how little or how much you use me, you change me every month. What am I?

Can you find the thief by just looking at the picture below?

I travel all around the world but always stay in the corner. What am I?

If,
29 - 1 = 30
9 - 1 = 10
14 - 1 = 15

Based on similar logic, Can you prove that the below algebraic equation is true?
11 - 1 = 10 ?

What has hands, but can’t clap?

If in a car race, the man who came two places in front of the last man finished one ahead of the man who came fifth, how many contestants were there?

A mother is 21 years older than her child. In exactly 6 years from now, the mother will be exactly 5 times as old as the child.
Where's the father?