Question

find the resistance between A and B

Answer 1

first consider the inner part of the circuit,
8ohm and 2ohm are in parallel thus considering total resistance of that part to be R¹ it will be 8/5.
then consider 2nd part of resistance 4 and 6 ohms considering R² these are also in parallel so ans for this is 12/5.
R¹ & R² are in parallel thus considering R³ ans will be 1÷8/5+1÷12/5=1/R³ so R³ will be 4ohms.
Now 3 ohm and 6ohm and R³ are in parallel so equivalent resistance will be 1/3+1/4+1/6=1/R
R=4/3 ohms.