Final answer:
During Guru Hargobind Ji's time, the Mughal rulers were Jehangir and Shah Jahan, with Jehangir ruling from 1605 to 1627 and Shah Jahan from 1628 to 1658, making the correct answer B. Jehangir and Shah Jahan.
Step-by-step explanation:
The reigning Mughal rulers during Guru Hargobind Ji's time were Jehangir and Shah Jahan. Guru Hargobind Ji, the sixth Sikh Guru, lived during the period when Jahangir was the emperor, from 1605 to 1627, followed by Shah Jahan, who ruled from 1628 to 1658. Jahangir, known for his patronage of the arts and religious tolerance, and Shah Jahan, recognized for his architectural contributions such as the Taj Mahal and the Red Fort in Delhi, both had complex relations with different religious communities during their reigns.
During Jahangir's rule, the time witnessed a growth in Mughal art influenced by European styles, and Shah Jahan is remembered for his architectural legacy and for having a strong economy during his rule. The correct answer to the student's original question is B. Jehangir and Shah Jahan.