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No problem, common when the weather is bad. There should never be one RCD covering the whole consumer unit. The point is to leave you with some power so you can safely find the fault or exit the building.
A little illustration of a nuisance tripping problem for you....
I went to a house in my street before christmas, same problem, tripping overnight. We had a lot of rain and the first for a while so I asked about exterior wiring. The householder told me, no we don't have any. So I'm looking around the garden room and see a light switch on the wall next to the door. I ask, what's that?. Ahh, he says, garden PIR. So we go outside and the conduit comes from the first floor bathroom to the outside light. We look in the bathroom, there's an immersion tank with a spur off the socket to another socket hidden in the top of the cupboard with the outside light plugged into it. Unplug it and the circuit works without tripping. Replaced the cable and light fitting and no more problem tripping.
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Just to clarify though, you could have damp in the walls or under a floor that has destroyed the insulation of the cables over time and that can be tested with an insulation resistance tester once the problem circuit and part of the circuit is diagnosed. I had one of those recently tripping the ring in a basement flat. In this case the tell tale sign was rusty backboxes.
Are you sure they RCD hasn't tripped? There is often 1 for a group of circuits. I would also check any outdoor connections and reset the consumer unit (fuse box). When you check for outdoor wiring remember something can be discreetly plugged in to a hidden socket!