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10.
The answer could not be an exact percentage. It may either be "uncertain", or be a range of "10% to 60%".
Consider two extreme circumstances:
a. The 80% children who like rabbits include the 70% children who like dogs, where the 70% children who like dogs include the 60% children who like cats. In this case the 60% children who like cats also like dogs and rabbits, with a maximun percentage of 60% who like all three animals.
b. The 40% children who don't like cats all like dogs, then the remaining 30% children who like dogs must as well like cats and thus, the percentage who like both dogs and cats is 30%. Similarly, the 70% children who don't like both cats and dogs all like rabbits, then the remaining 10% children who like rabbits must as well like both cats and dogs. In this case, the percentage who like all three animals reaches the minimum 10%.
So the proper answer to this problem is a range of 10% to 60% and no exact percentage could be deduced without further information.
The five options of the problem, i guess, must be given in the way that only one option is within the range whereas all the other four exceed it.
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