The correct answer is A. 1862.
Jamalpur Locomotive Workshop is a railway workshop located in Jamalpur, Munger district, Bihar, India. It is one of the oldest and largest locomotive workshops in India. The workshop was established in 1862 by the East Indian Railway Company. It is responsible for the maintenance and repair of locomotives, wagons, and coaches. The workshop also manufactures locomotives and wagons.
Option B is incorrect because the workshop was established in 1862, not 1892.
Option C is incorrect because the workshop was established in 1862, not 1937.
Option D is incorrect because the workshop was established in 1862, not 1982.