Find the mistake in the below maths equations

A = 2
A(A-1) = 2(A-1)
A2-A = 2A-2
A2-2A = A-2
A(A-2) = A-2
A = 1

What kind of band never plays music?

A man who was outside in the rain without an umbrella or hat didn’t get a single hair on his head wet. Why?

The equation shown below is not correct:

26-63=1

Can you make the equation correct by moving just one symbol?

A certain street contains 100 buildings. They are numbered from 1 to 100. How many 9's are used in these numbers?

What has a ring but no finger?

I am a three digit number.
My tens digit is five more than my ones digit.
My hundreds digit is eight less than my tens digit.
What number am I?

It's a test that will check your IQ.

Suppose you have one 11 minute hourglass and one 13 minute hourglass.

Can you measure exactly fifteen minutes using them ?

Can you find out who is the kidnapper in below Picture and why, Explain ?

A Car is crossing a bridge 2 miles long. The bridge can only hold 10000 lbs, which is the exact weight of the car. The Car makes it half way across the bridge and stops. A bird lands on the car. Does the bridge collapse? Explain.