Testing cut off solenoid: Get your ear close to carb, have someone turn on the key (Just to on, not trying to start) you should hear a click, which would be the cut off solenoid opening, then have them turn key off, again you should hear click as cut off solenoid is closed.
For intake leaks: I use a spray bottle with soapy water in it, when running or cranking, spray the intake / engine gasket areas, you should see nothing if no leak is present. If leaking it will suck in the soapy water.
I did take the carburetor apart and saw the fuel solenoid working properly from first that I posted. Sorry that I put the wrong word to confuse.
Fuel pump pulse line for crack,fuel pump,needle & seat,and fuel line,all can cause no fuel in carburetor.