"Is the circuit possible without using pull up and pull down resistors?
What circuit?
What will be the outcome of glowing leds using simple AND or OR gate without using pull up and pull down resistors?
Pull up or down resistors where?
In general you would only use pull up resistors with 74LS logic as the value you need for pull down resistors is too small. Pull up 4K7 pull down 330R.