Is this combination of ConcurrentDictionary and ConcurrentQueue thread-safe?

I'm using the ConcurrentDictionary and ConcurrentQueue classes from .NET 4 in the following code.

Is this code thread-safe? If not, how can I make it thread-safe?

public class Page
{
    public string Name {get; set; }
}

public class PageQueue
{
    private ConcurrentDictionary<int, ConcurrentQueue<Page>> pages =
        new ConcurrentDictionary<int, ConcurrentQueue<Page>>();

    public void Add(int id, Page page)
    {
        if (!this.pages.ContainsKey(id))
            this.pages[id] = new ConcurrentQueue<Page>();

        this.pages[id].Enqueue(page);
    }

    public Page GetAndRemove(int id)
    {
        Page lp = null;

        if(this.pages.ContainsKey(id))
            this.pages[id].TryDequeue(out lp);

        return lp;
    }
}

Demo:

 public class Demo
 {
     public void RunAll()
     {
         for (int i = 0; i < 10; i++)
             Task.Factory.StartNew(() => Run());
     }

     public void Run()
     {
         PageQueue pq = new PageQueue();
         pq.Add(1, new Page());

         pq.GetAndRemove(1);
     }
 }