In this cycle you are iterating over the faqs array, that means, it goes over each contained object one by one. The cycle does not go into objects, for that, you need separate cycle.
In addition to that, your data are not well formed, try to transform them to following:
[{ question: "question 1", answer: "answer 1"}, {question: "question 2", answer: "answer 2"}]
After that you can do:
<div v-for="(value, index) in faqs" :key="index">{{ value.question}}::{{ value.answer }}</div>
This will yield result:
question 1::answer 1
question 2::answer 2
On the other hand if you really want to iterate over properties of contained objects, then you need to do something like:
<div v-for="(value, index) in faqs" :key="index">
<div v-for="(propValue, propName) in value">
{{propName}}::{{propValue}}
</div>
This will work for the data in the original form you have posted. You have first cycle, which goes through each object (question-answer pair) one by one and second nested cycle, which goes over properties of every object.