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

A man was driving a black truck. His lights were not on. The moon was not out. A lady was crossing the street. How did the man see her?

I know a ten-letter word in the English language which can be typed using only the top rows of the computer keyboard.

Here is a conversation between a couple who both are software professionals.

Husband: Hey! What is your date of birth?
Wife Replied Angrily: It is 591062400
Husband after doing some calculations replied, "Got It".

What is the DOB of the wife?

In a certain bank, a man deposits a certain amount. According to the bank policies, the amount will be doubled up in a year but as the service charge, they will also deduct Rs. 65 by the end of every year.

If after the 6th year, the amount becomes 0, what do you think is the original amount he deposited in the bank?

There is one four-digit whole number n, such that the last four digits of n2 are the original number n

A girl rode into a tourist spot out of the city on Thursday. She loved the place and decided to stay for a few days. She stayed for four days and then she left for back home on Thursday.

How can this be possible?

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

If you were to put a coin into an empty bottle and then insert a cork into the neck, how could you remove the coin without taking out the cork or breaking the bottle?

What is the fewest number of coins that would be required in order to make sure each and every coin touches exactly three other coins?