Answer: Bb, C, D, Eb, F, G, A, Bb
Explanation: The sequence for a major scale is always as follows:
Starting note,
Whole step up,
Whole step up,
Half step up,
Whole step up,
Whole step up,
Whole step up,
And a Half step up, which puts you back on whatever you started on.
When determining scales and key signatures like this, think of a piano. There are two sections that repeat across the whole thing, a section with three white keys and two black keys, followed by four white keys and three black keys. Think of the first note as C, or the note on the left of the first series of keys, three white, two black. The white keys are C, D, and E. And there are two black keys in between them because they are a whole step apart. Now the second series is F, G, A, and B, and the reason there are black keys in between them is because they too are each a whole step apart. Now notice the lack of a black key in between B and C, and E and F, these notes are a half step apart. And if you mimic this sequence replacing C with your starting note, you will easily be able to determine the Key signature and major scales.