In agreement with @Anne Daunted's well-founded 'suspicion' in comments that your new colleague might be looking for a friend rather than a tutor, may I suggest based on my personal experience as an Indian, even at risk of over-generalizing, that in the Indian cultural context, asking someone learning-related questions after joining a new community or organization is a typical type of submissive (read friend-making) social behavior intended to establish a non-competitive social relationship with others, in order to be well-accepted into the community as a new or junior member.
I would do this myself if I joined a new organization. It's the done thing in Indian culture. By asking you so many work-related questions that she could find the answers to easily herself, she is probably expressing humility and dependence by giving you the message that you are more knowledgeable and her organizational superior, which is simply meant to make you her friend, as the first stage of getting well-integrated into the organization.
Although such insecure behavior is typical of someone new to a company/ city/ country, it may also be significant that you are so fluent in English, @Tinkeringbell, if the main office language and the first language of most employees is Dutch, because your new colleague doesn't know Dutch and India is an anglophone country. Also, Indian women going to a strange land tend to make a female friend of similar age first, to get more confidence in an unfamiliar social setting. I am trying to explain these possibilities in such detail because understanding the real problem is key to solving it.
So how can you deal with her?
1. First, @Anne Daunted so perceptively suggested in a comment2 comments,
Did you ever ask her, why she always asks you instead of, e. g. googling it herself? It seems that she is the only one doing the asking. Maybe in a friendly and non-accusatory way a small conversation could ensue and you may find out more (does she look for a friend more than a tutor, perhaps?) or you could point some problems out to her (like how it's useful for her to be able to solve her problems herself etc.) [...] You were pretty direct and it didn't help, I just wondered if it could shed some light on the underlying problem (whether she is looking for a friend or experiences problems in her team making her seek out others or something else).
2. May I also recommend pointing out to her quite frankly that she needs to understand how asking easily-researched work-related questions might well be useful to demonstrate humility and dependence for her purpose of community-integration in an Indian cultural context, but it creates a very bad impression in the Dutch workplace which values competence and independence more, as good professional and social traits.
When you say this you are revealing your understanding of her motivations, some of which she may not have understood herself. Even if being too frank in this way can possibly be awkward for you and temporarily painful for her (if she is a sensitive person (but, but not otherwise) it is likely to quickly clear cultural misunderstandings and set her on the right track regarding professional and cultural expectations in Europe and the USA.
3. If that still doesn't work then it's time to discuss the matter with senior management, as pointed out in more than one previous answer.