What is more useful when it is broken?

A car meter reading shows 72927 miles a palindromic number.
what is the minimum number of miles you would need to travel to see another palindromic number on the car meter reading?

On a bus, there is a 26-year-old pregnant lady.
A 30-year-old policeman.
A 52-year-old random woman.
And the 65-year-old driver.

Who is the youngest?

1 + 9 + 8 = ?
considering, 28 + 8 + 92 = 10

Can you complete the sequence puzzle?

AR TA GE CA LE VI LI _

There are people and strange monkeys on this island, and you can not tell who is who (Edit: until you understand what they said - see below). They speak either only the truth or only lies.
Who are the following two guys?
A: B is a lying monkey. I am human.
B: A is telling the truth.

What is black when you buy it, red when you use it, and gray when you throw it away?

I am a prime number.
The double of myself is equal to the square of me.

which number am I?

A chess tournament is taking place on knock-out terms (the one who loses the match is out of the game).
(a) If 10 matches are played in total, how many players participated?
(b) If 20 players took part in the tournament, how many matches were played?

What does the below rebus puzzle mean?