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

An inspection by the superintendent of St. Joseph School was scheduled on the next day. The class teacher Jenifer knew that he would be asking questions from her class and she would have to choose a pupil to answer. To offer a perfect impression over him, the teacher explained certain instructions to the students to maximise the chances of getting correct answer every time.

What did she say to the students?

Can you find the six hidden animals in the picture below?

Can you think of a smallest +ve number such that if we shuffle the digits of the number, the new number becomes double the original number?

Two batsman each on 94 runs. Seven runs needed to win in last 3 balls. Both make 100*. How?

Move four matchsticks to the below square to form three squares?

Identify the next two numbers in this series.

101, 112, 131, 415, 161, 718, ???, ???

The richest man in the city Mr Rechard is kidnapped. James Bond is appointed to the case. At the crime scene, a note is found written by Mr Richard. The note read:

"First of January, Fourth of October, Fifth of March, Third of June."

James Bond knew that somehow, the killer's name was hidden in the note. The following were the suspects:

Jack Richard, the son and the heir of property.
John Jacobson, the employee of Richard.
June Richard, the wife of Richard.

James Bond took only a few moments to deduce the killer's name. Can you tell who was the killer?

I am looking for a word that change both gender and number when i add the letter 'S'.

What Word am I Looking For ?

Can you make numbers like 24, using numbers 3,3,7 & 7 with any arithmetic operator?