Correct Answer - Option 2 : -2°30'
Given:
Magnetic bearing of sun at noon = 182° 30'
At Noon, the sun is exactly over the time median of the place. Thus true bearing of the line joining the sun and the place is either 0° and 360° if it is to the north.
and 180° if it is to the south of the place.
Magnetic bearing of sun at noon = 182°30'
True bearing = 180°
True bearing = M.B + declination
180° - 182°30' = declination
So,
declination = -2° 30'
or declination = 2° 30' W
If value of M.B < 180°
then,
declination is +ve and Eastern side.