Some modern kitchen taps are what are called "quarter turn" taps, this means that the tap is fully open after just a quarter of one turn. These taps do not use washers like a standard tap, but they rely on a ceramic cartridge that can easily be replaced in most cases. The cartridges can be picked up at any plumbers merchants, although it is a good idea to take the old one with you to ensure you get the correct one.
Here is how to replace a quarter turn tap cartridge-



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