Answer is as per NTA Answer key .

Arrange the following subjects as inserted in the Constitution of India through amendments in chronological order -

A. Removed right to property from the list of Fundamental Rights.
B. Inserted a new chapter on the Fundamental Duties of Citizens.
C. Formation of the State of Meghalaya.
D. Privy and privileges of the former rulers of Indian states were abolished.
E. Union Territory of Arunachal Pradesh was conferred statehood.

Choose the correct answer from the options given below:

Correct option is B

Let's determine the chronological order of these constitutional changes in India:

A. Removed right to property from the list of Fundamental Rights.
This was done by the 44th Amendment Act, 1978. The Right to Property became a legal right under Article 300A.

B. Inserted a new chapter on the Fundamental Duties of Citizens.
The Fundamental Duties were added by the 42nd Amendment Act, 1976, based on the recommendations of the Swaran Singh Committee.

C. Formation of the State of Meghalaya.
Meghalaya was formed as an autonomous state within Assam in 1970  and then achieved full statehood on January 21, 1972, under the North-Eastern Areas (Reorganisation) Act, 1971. The 27th Amendment Act, 1971, also dealt with some aspects related to its formation and legislative power. The key act for its statehood is 1971.

D. Privy purses and privileges of the former rulers of Indian states were abolished.
This was abolished by the 26th Amendment Act, 1971.

E. Union Territory of Arunachal Pradesh was conferred statehood.
Arunachal Pradesh was granted full statehood by the 55th Amendment Act, 1986, which led to the State of Arunachal Pradesh Act, 1986, coming into effect on February 20, 1987.

Now, let's arrange them chronologically:

C. Formation of the State of Meghalaya (1970) - Though 1970 for autonomous state, full statehood is 1972 (Act 1971).

D. Privy purses and privileges abolished (1971) - This happened earlier in 1971. The 26th Amendment was passed in December 1971. 

B. Fundamental Duties inserted (1976)

A. Right to property removed from FR (1978)

E. Arunachal Pradesh conferred statehood (1987) - Act in 1986, came into effect in 1987.

Hence, Option (b) is the correct chronological order .