What can you catch but never throw?

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

Name a key which is hardest to turn.

There are two words one resembles the "state of rest" and the other is related to "writing/reading material".

Can you name these two words which also sound similar?

Three brothers Jacob, John, and James live in Mexico City. The product of the ages of these brothers is 175. Jacob and John are twins. How old is James?

I’m light as a feather, yet the strongest person can’t hold me for five minutes. What am I?

Decode below rebus
D
N
A
T
S , D

What 4-letter word can be written forward, backward or upside down, and can still be read from left to right?

Can anyone tell me a word in the English dictionary which has a silent 'z'?

Through your logical capabilities, can you make 7 an even?