Only statement 1 is correct.
Regulating Act of 1773 was the first step taken by the British Government to control and regulate the affairs of the East India Company in India.
Features of the Act
1. It designated the Governor of Bengal as the ‘Governor-General of Bengal’ and created an Executive Council of four members to assist him. The first such Governor-General was Lord Warren Hastings.
2. It made the governors of Bombay and Madras presidencies subordinate to the governor general of Bengal, unlike earlier, when the three presidencies were independent of one another.
3. It provided for the establishment of a Supreme Court at Calcutta (1774) comprising one chief justice and three other judges.
4. It prohibited the servants of the Company from engaging in any private trade or accepting presents or bribes from the ‘natives’.
5. It strengthened the control of the British Government over the Company by requiring the Court of Directors (governing body of the Company) to report on its revenue, civil, and military affairs in India.
Charter Act of 1853 introduced, for the first time, local representation in the Indian (Central) Legislative Council.

Option d is correct.
The 1919 Act relaxed the central control over the provinces by demarcating and separating the central and provincial subjects.
• The central and provincial legislatures were authorised to make laws on their respective list of subjects. However, the structure of government continued to be centralised and unitary.
• It further divided the provincial subjects into two parts—transferred and reserved. The transferred subjects were to be administered by the governor with the aid of ministers responsible to the legislative Council.
• The reserved subjects, on the other hand, were to be administered by the governor and his executive council without being responsible to the legislative Council.
• This dual scheme of governance was known as ‘dyarchy’—a term derived from the Greek word di-arche which means double rule. However, this experiment was largely unsuccessful.

None of the above is correct.
The demand for constituent assembly was finally accepted in principle by the British Government in what is known as the ‘August Offer’ of 1940.
• In 1942, Sir Stafford Cripps, a member of the cabinet, came to India with a draft proposal of the British Government on the framing of an independent Constitution to be adopted after the World War II.
• The Cripps Proposals were rejected by the Muslim League which wanted India to be divided into two autonomous states with two separate Constituent Assemblies.
• Finally, a Cabinet Mission was sent to India. While it rejected the idea of two Constituent Assemblies, it put forth a scheme for the Constituent Assembly which more or less satisfied the Muslim League

All of the above statements are correct.
In addition to the making of the Constitution and enacting of ordinary laws, the Constituent Assembly also performed the following functions:
1. It ratified the India’s membership of the Commonwealth in May 1949.
2. It adopted the national flag on July 22, 1947.
3. It adopted the national anthem on January 24, 1950.
4. It adopted the national song on January 24, 1950.
5. It elected Dr Rajendra Prasad as the first President of India on January 24, 1950.

Statement 1 and 3 are correct.
Territories forming the Union shall be autonomous units and exercise all powers and functions of the Government except those assigned to the Union. The states thus derive power directly from the constitution.
• All powers and authority of sovereign and independent India shall flow from its people based on the doctrine of popular sovereignty.
• As per the resolution, all people of India shall be guaranteed and secured social, economic and political justice; equality of status and opportunities and equality before law; and fundamental freedoms – of speech, expression, belief, faith, worship, vocation, association and action – subject to law and public morality.