No need for intricate calculation and the question doesn't tell you to
refer to the tables. A process of elimination works for this one.
The given times for Sunrise and Sunset provide us with a day of nearly 19 hours
duration, which mean it’s obviously summer time.
21st June is the longest day during summer time in the northern hemisphere.
Anything above 66.5°N in the northern hemisphere summer is permanent daylight,
i.e. 24 hours of daylight; therefore, this rules out 80°N.
Equatorial day / night times are fairly regular and equal all year round so
this rules out 00°N/S.
28th June is winter in the southern hemisphere, with short days, which rules
out 55°S.
This leaves only 60°N.