IANAL but I'd guess it depends on the wording. If it's an "AND" (as your question suggests), the most restrictive would apply while if it's an "OR" (as it's common when dual-licensing) the less restrictive would apply.
> If it's an "AND" (as your question suggests), the most restrictive would apply
Please note that it is not possible to do this with some License X and GNU [LA]GPL. Because it is an additional restriction which is not allowed as per the terms of GNU [LA]GPL.
