Question: which state in northern India is Trans-Karakoram Tract claimed by India as part of the state of 

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Gwalior State: Gwalior State was an Indian kingdom and princely state during the British Raj.  It was ruled In subsidiary alliance with the British by the Scindia dynasty of the Marathas and was entitled to a 21-gun salute.  The state took its name from the old town of Gwalior, which, although never the actual capital, was an important place because of its strategic location and the strength of its fort.  The state was founded in the early 18th century by Ranoji Sindhia, as part of the Maratha Confederacy.  Under Mahadji Sindhia (1761–1794) Gwalior State became a leading power in northern India, and dominated the affairs of the confederacy.  The Anglo-Maratha Wars brought Gwalior State under British suzerainty, so that it became a princely state of the British Indian Empire.  Gwalior was the largest state in the Central India Agency, under the political supervision of a Resident at Gwalior.  In 1936, the Gwalior residency was separated from the Central India Agency, and made answerable directly to the Governor-General of India.  After Indian Independence in 1947, the Sindhia rulers acceded to the new Union of India, and Gwalior state was absorbed into the new Indian state of Madhya Bharat.

Sia Kangri: Sia Kangri (7,442 m, 24,370 ft) is a mountain in the Baltoro Muztagh in the Karakoram.  Its summit is the tripoint of territory controlled by India, China and Pakistan where the Actual Ground Position Line between Indian and Pakistani forces meets Chinese-controlled territory.  Territories on all sides are disputed.  The land immediately to the southwest of the peak is claimed by both Pakistan and India and controlled by Pakistan.  The land to the northeast is part of the Trans Karakoram Tract, controlled by China under a 1963 border agreement with Pakistan but claimed by India.  The land to the southeast is claimed by Pakistan and India, but controlled by India, as a part of its Siachen glacier territory.

Jammu and Kashmir: Jammu and Kashmir ( ) is a state in northern India, often denoted by the acronym J&K.  It is located mostly in the Himalayan mountains, and shares borders with the states of Himachal Pradesh and Punjab to the south.  Jammu and Kashmir has an international border with China in the north and east, and the Line of Control separates it from the Pakistani-administered territories of Azad Kashmir and Gilgit-Baltistan in the west and northwest respectively.  The state has special autonomy under Article 370 of the Constitution of India.

History of Kashmir: The history of Kashmir is intertwined with the history of the broader Indian subcontinent and the surrounding regions, comprising the areas of Central Asia, South Asia and East Asia.  Historically, Kashmir referred to the Kashmir Valley.  Today, it denotes a larger area that includes the Indian-administered state of Jammu and Kashmir (which consists of Jammu, the Kashmir Valley, and Ladakh), the Pakistan-administered territories of Azad Kashmir and Gilgit–Baltistan, and the Chinese-administered regions of Aksai Chin and the Trans-Karakoram Tract.

Kashmir: Kashmir is the northernmost geographical region of the Indian subcontinent.  Until the mid-19th century, the term "Kashmir" denoted only the Kashmir Valley between the Great Himalayas and the Pir Panjal Range.  Today, it denotes a larger area that includes the Indian-administered territory of Jammu and Kashmir (subdivided into Jammu, Kashmir, and Ladakh divisions), the Pakistani-administered territories of Azad Kashmir and Gilgit-Baltistan, and Chinese-administered territories of Aksai Chin and the Trans-Karakoram Tract.

Barind Tract: Barind Tract (alternately called the Varendra Tract in English and Borendro Bhumi in Bengali) is the largest Pleistocene era pysiographic unit in the Bengal Basin.  It covers most of Dinajpur, Rangpur, Pabna, Rajshahi, Bogra, and Joypurhat districts of Rajshahi Division and Rangpur Division in Bangladesh as well as entirety of Uttar Dinajpur, Dakshin Dinajpur and most of Maldah districts in West Bengal, India.  It is made up of several separate sections in the northwestern part of Bangladesh, and, northern part of West Bengal,India covering a total area of approximately 10000 km² of mostly old alluvium.  On the eastern edge of the tract is a lower fault escarpment.  Through the fault troughs run the little Jamuna, Atrai and Lower Punarbhaba rivers.  To the west, the main area is tilted up, and to the east this area is tilted downwards.  The climate of the tract differs from that of much of India, in that more extreme temperature variations (ranging from 45 degrees Celsius down to five degrees Celsius) are encountered there.  It is divided into three units: The Recent Alluvial Fan, the Barind Pleistocene, and the Recent Floodplain.  These are divided by long, narrow bands of recent alluvium.

Nautanki: Nautanki is one of the most popular folk operatic theater performance forms of South Asia, particularly in northern India.  Before the advent of Bollywood (the Hindi film industry), Nautanki was the biggest entertainment medium in the villages and towns of northern India.  Nautanki's rich musical compositions and humorous, entertaining storylines hold a strong influence over rural people's imagination.  Even after the spread of mass media (such as television and DVDs), a crowd of 10,000 to 15,000 can be seen at the top Nautanki performances.  Nautanki's origins lie in the Saangit, Bhagat, and Swang musical theatre traditions of Northern India.  One Saangit called "Saangit Rani Nautanki Ka" became so popular that the whole genre's name became Nautanki.

Muslim Kayasths: The Muslim Kayastha (Urdu: ‎ ) are community of Muslims, descendents of members of the Kayastha caste of northern India, mainly in modern Uttar Pradesh, Punjab and Bihar who embraced Islam during the rule of Muslim dynasties.  The Muslim Kayastha are part of the Muslims of Uttar Pradesh as well as the Muslims of undivided Punjab. The Muslim Kayastha are considered to be Shaikh and follow Sunni Hanafi fiqh.  The Muslim Kayasths have intermarried with the other Muslim communities over the centuries and have lost their community consciousness and consider themselves to be part of the Urdu speaking Muslims of Pakistan and northern India.  They live in the state of Uttar Pradesh in India, the provinces of Sindh and Punjab in Pakistan and many have now settled in United Kingdom, United States and Canada.

Trans-Karakoram Tract: The Trans-Karakoram Tract (Hindi: शक्स्गम् , "Shaksgam"; also known as Shaksgam or the Shaksgam Tract, is an area of more than 9900 km² along both sides of the Shaksgam River and extending from the Karakoram to the Kunlun range.  The tract is entirely administered by the People's Republic of China as a part of Kargilik County and Taxkorgan Tajik Autonomous County in the Kashgar Prefecture of Xinjiang Autonomous Region, but claimed by Pakistan until 1963.  It is claimed by India as part of the state of Jammu and Kashmir.

Church of North India: The Church of North India (CNI), the dominant Protestant denomination in northern India, is a united church established on 29 November 1970 by bringing together the main Protestant churches working in northern India; it is a province of the worldwide Anglican Communion.  It is the successor of Church of England in India along with the Church of Pakistan and the Church of South India.  The merger, which had been in discussions since 1929, came eventually between the Church of India, Pakistan, Burma and Ceylon (Anglican), the United Church of Northern India (Congregationalist and Presbyterian), the Baptist Churches of Northern India (British Baptists), the Church of the Brethren in India, which withdrew in 2006, the Methodist Church (British and Australian Conferences) and the Disciples of Christ denominations.

Supporting paragraphs: Trans-Karakoram Tract Jammu and Kashmir
Answer: Jammu and Kashmir