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

One is to three as three is to five and five is to four and four is the magic number.
What is the pattern?

You need to complete the maze by entering from the entrance marked below in the figure near the yellow circle, bottom left and leaving from the exit point near the green circle, bottom middle.

Rule of Game: You can move only by exchanging green and yellow circles.

The following sentence is false. The preceding sentence is true.
Are these two sentences true or false?

There is a square of a particular number which when doubled, becomes 7 more than its quarter.

Can you find the number?

On a certain day, John celebrated his birthday. Two days later, his older twin brother Jacob celebrated his birthday.

Is this even possible? How can it be?

Guess the hidden movie name?

I am under you when I am whole.
I shift above you if you remove the first letter.
I come all around you if you remove the second as well.

Can you tell me who I am?

Replace each alphabet with the number (1-9) to make the below equation correct.

AB * C = DE - F = GH / I

What does below Rebus say?

XLR8