Under article 352, the President can declare a national emergency when the security of India or a part of it is threatened by war or external aggression or armed rebellion. He can declare even before the war if he is satisfied that there is imminent danger.

Article 360 provides financial emergency.

In article 356 provides President’s rule due to the failure of constitutional machinery in states.

Article 358 & Article 359 deals with suspension of FRs during emergency.

Hence, Option D is correct. 

North Eastern council was created by a separate act of Parliament, The North eastern council Act of 1971. It members include Assam, Manipur, Mizoram, Arunachal Pradesh, Nagaland, Meghalaya, Tripura and Sikkim.

The union home minister is the ex-officio chairman and the Ministry of state (independent Charge) development of North Eastern region is the ex officio vice chairman of North eastern council.

Hence, Option C is correct..

The word socialist was included in preamble by the 42^nd amendment Act, 1976 during Emergency. It implies social and economic equality. Under social equality everyone has equal status and opportunities and the absence of discrimination on the grounds of caste, color, sex, religion and language.

Hence, Option B is correct.

Directive principle of State policy aims to create social and economic conditions under which the citizens can lead a good life. These provisions are contained in Part IV (Article 36-51) and are inspired by the constitution of Ireland.

Article 39A provides Equal Justice and free legal aid. Article 49 provides Protection of monuments and places and objects of national importance. Article 50 provides Separation of Judiciary from Executive.
Hence, Option C is correct.

The judges of the Supreme Court are appointed by the President of India.
The Chief Justice of India is appointed by the President after the consultation with the other judges of Supreme Court and the High Court if the President of India thinks it is necessary. The other judges of the Supreme Court are appointed by the President after the consultation of the Chief Justice of Supreme Court of India and it is obligatory for the President to consult.

Hence, Option C is correct.