I am unable to figure out which two are connected in parallel. The initial current splits at 4 and 5 ohm resistors. But if I consider those two parallel the current exiting 4 and 3 goes into 2. Then they are in parallel. 1 and 3 seem to be in parallel but 3 and 4 are also in parallel. How to solve this?
I think the following would help you to organize the circuit. I don't know if this is the ideal way to solve this because I am just a high school student and my teacher taught me this way and I thought it would be easier to solve these type of questions with this thing.
Let the junction of resistances having resistance $5~\Omega, 3~\Omega $ and $1~\Omega$ be X, similarly, the junction of resistances having resistance $4~\Omega, 3~\Omega $ and $2~\Omega$ be Y.
So, the circuit would look something like this:
And then you can name other points whose potential is same. Like this:
So, now you can clearly see which resistance is between which points. Now, you can reorganize the circuit like this:
Now, I think the circuit is pretty much easy to solve, you can use Kirchhoff's Laws to find the effective resistance.
Again Disclaimer: I don't know if this is the ideal way to solve these kind of problems. I am just reorganizing the circuit using the way taught by my teacher.
Hope this helps.
