The teaching in the universities of ancient India was controlled by a board of…

CONCEPT

Ancient India's mahaviharas (Buddhist monastic universities) were not run by a single principal; each was governed by a Sangha/Board of senior teacher-monks that controlled admission, curriculum, and day-to-day administration. When one royal patron sponsored more than one vihara, that patron could place both institutions' administration under a single governing Board rather than keep them fully independent.

APPLICATION

Vikramshila University was founded in the late 8th century CE by the Pala king Dharmapala, in part to correct a decline in scholarship at Nalanda. Because Dharmapala was patron of both institutions, the administrative Board of Vikramshila was also given charge of Nalanda's affairs; teachers such as Abhayakaragupta moved between the two campuses, so the two functioned as linked establishments under shared Pala patronage rather than as fully separate ones.

CROSS-CHECK — why each other option is not the answer

• Jagaddala University: founded later, under the Pala king Ramapala in Varendra (north Bengal) — a separate foundation whose affairs the Vikramshila Board never took charge of.

• Valabhi University: developed independently in Saurashtra (Gujarat) under the Maitraka dynasty's patronage, entirely outside the Pala network that linked Vikramshila's governance to other viharas.

• Odantapuri University: founded by Gopala near Nalanda, but it ran as its own separate establishment and was never placed under the Vikramshila Board's administrative charge.

So among the options, it is Nalanda's administration that the Vikramshila Board also carried, on account of their shared Pala patron.