The correct chronological order of the given events is as follows:

1. August Offer (1940)
2. Cripps India Mission (1942)
3. Bombay Mutiny (1946)
4. Quit India Movement (1942)

Explanation:

1. August Offer (1940):
- In August 1940, the British Government announced the August Offer, which proposed to give greater autonomy to the Indian states and promised to set up a constituent assembly to frame a new constitution for India.
- The offer was rejected by the Indian National Congress as it did not offer complete independence to India.

2. Cripps India Mission (1942):
- In March 1942, the British Government sent a delegation led by Sir Stafford Cripps to India to negotiate with Indian leaders.
- The Cripps Mission proposed the formation of a Constituent Assembly to draft a new constitution for India, which would have the power to decide on India's status within the British Empire.
- However, it did not offer complete independence to India and was rejected by the Indian National Congress.

3. Bombay Mutiny (1946):
- The Bombay Mutiny was a strike by Indian naval ratings in Bombay (now Mumbai) in February 1946.
- The sailors demanded better pay and working conditions, and also expressed their support for the Indian National Army and the Indian independence movement.
- The mutiny was suppressed by the British authorities, and several sailors were arrested and put on trial.

4. Quit India Movement (1942):
- The Quit India Movement was a mass civil disobedience movement launched by the Indian National Congress in August 1942.
- The movement demanded the immediate withdrawal of British colonial rule from India and called for non-violent resistance against the British government.
- The movement was suppressed by the British authorities, and many of its leaders were arrested and imprisoned.

The august offer was made by Lord Linlithgow in Simla in 1940 to win India's support in World War II.

The meetings, known as the Cripps Mission, took place in Delhi from March 22 to April 12, 1942, and marked an attempt to rally, through the rival Indian National Congress and Muslim League, Indian support for the defense of the country against Japanese invasion.

On 8 August 1942 at the All-India Congress Committee session in Bombay, Mohandas Karamchand Gandhi launched the 'Quit India' movement.

The Royal Indian Navy mutiny or revolt, also called the 1946 Naval Uprising, was an insurrection of Indian naval ratings, soldiers, police personnel and civilians against the British government in India.

so the option B is correct