Answer:
The correct answer to the question: Puritan laws allowed which religious groups to settle in Massachusetts Bay Colony, would be: Puritans only.
Explanation:
The Massachusetts Bay Colony was the result of the emigration of Puritan English people who wished to re-establish the true Christian faith, now purged from the influence of Roman Catholicism, which to them, was still present in the Church of England. These Puritans, who were persecuted in Europe, and most particularly in England, this fled to North America to seek religious freedom. Given this fact, it is ironic that once they gained the charter from the Crown to establish the new colony, their rules portrayed everything except toleration towards other Christian currents that were similar to Puritanism, and definitely not anyone related to either the Church of England, or Catholicism. As such, and according to historical data, it is shown that when other denominations, like the Quakers and Baptists, attempted to settle in the Massachusetts Bay Colony between 1658 and 1692, some of them were imprisoned for their faith, some were executed and most were simply banished from the colony and sent back to England. This is why the answer is the second one. Puritans were not willing to allow the settlement of any other religious denomination, except their own. It was later, with the intervention of the King, that Puritans were forced to permit the settlement of other denominations.