With reference to the development of various sects in Buddhism, consider the following statements:

The Sthaviravādins split away from Mahāsāmghikas during the Second Buddhist council

Lokottaravāda is a sub-school of Mahāsāmghika

Present day Theravādins are the successors of Sthaviravādins

Which of the above is / are correct?

Question

Second Buddhist Council was held in 383 BC at Vaishali under King Kalasoka and presided by Sabakami. Its main objective was to settle a dispute on Vinaya Pitaka, the code of discipline. The dispute was not settled and first schism in Buddhism appears with this council for the first time.
The Buddhism got divided into three subgroups viz. Sthaviravada, Mahasanghika and Sarvastivada. The Sthaviravādins or Elders were adamant on strict rules and current day Theravādins are their successors.
Mahasamghika or Great community later spread in almost all over India and developed into various sub-schools such as Lokottaravāda and Bahuśrutīya. The key aspect of Mahasamghika school was the divine nature of Buddhas and Bodhisattvas.

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1, 2 & 3

Second Buddhist Council was held in 383 BC at Vaishali under King Kalasoka and presided by Sabakami. Its main objective was to settle a dispute on Vinaya Pitaka, the code of discipline. The dispute was not settled and first schism in Buddhism appears with this council for the first time.
The Buddhism got divided into three subgroups viz. Sthaviravada, Mahasanghika and Sarvastivada. The Sthaviravādins or Elders were adamant on strict rules and current day Theravādins are their successors.
Mahasamghika or Great community later spread in almost all over India and developed into various sub-schools such as Lokottaravāda and Bahuśrutīya. The key aspect of Mahasamghika school was the divine nature of Buddhas and Bodhisattvas.