His magnetic track is 260, so an appropriate level for the quadrantal rule would be an Even flight level (0-90 Odd, 90-180 Odd +500, 180-270 Even, 270-000 Even +500).
(just from the above, you already know the answer is (a) as it's the only even FL)
So we can try FL40. FL40 is with 1013 set on the altimeter. But we have 970. That's 43 hPa below 1013, so FL40 is really 4000 - (43 * 30) = 4000 - 1290 = 2710 ft.
2710ft is below 3000ft, so we can't use that.
As it has to be an Even FL, the next available FL is FL60. As a sanity check, 6000 - 1290 = 4710ft. So that one is fine.
So it's (a).
(I hope!)
Last edited by Slopey; 6th June 2012 at 00:56.