India became…?

On a quiz, some students listed Burma, Nepal, and Sri Lanka as countries which emerged from British India, rather than the expected answer of India, Pakistan, and Bangladesh. Are these answers acceptable? According to this source (as well as many others), "British rule in Burma lasted from 1824 to 1948, Britain made Burma a province of India in 1886, and the British separated Burma Province from British India in 1937." Burma is therefore technically an acceptable answer. However, Nepal simply negotiated and allied itself with the British. It was never a British colony, although it was strongly influenced by the British. Sri Lanka, once known as Ceylon, was considered and administered separately from India, so it can not be said to have "emerged from India." Sorry!

1909 political map

1909 religious map

1909 rail map

1947 British India map

1947 India and Pakistan after independence