A quick reference (but a badly written one, unfortunately):
The meter that I used, to check the filter cap were an analog meter, a digital capacitance meter and an ESR meter.
I believe most of you know how to check capacitors and also generally using these type of meters. When measured with analog it showed capacitor charging and discharging, with digital capacitor tester it showed around 220 microfarad and with ESR meter it showed low ESR reading!
This proved that the bad capacitor broke-down when under full operating voltage.
Then, how do I confirm that this filter capacitor is faulty?
By using an analog insulation tester.
When I connect the faulty cap to the meter and press the go button it showed a very low resistance and this is the proof of short circuit between the plate when voltage applied!
There is nothing to do with bad electrolyte. A good capacitor will just show a charge and discharge in the insulation meter just like you are checking a capacitor using analog multimeter.
In the market there are quite a number of ranges that you can buy. You get ranges of 50v, 100v, 250v,500v, 1000v and even 5000v!
If you want to test a capacitor of 100 microfarad 160v then you have to select 100v. If you select 250v, it will blow the capacitor under test.
To actually work on the bad capacitors, you may also want to look at this Recapping article.
Its well written in comparison to the other reference