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The correct answer is option 3, Jammu and Kashmir. Nanga Parbat is a famous mountain peak located in the western part of the Himalayas. It lies in the Gilgit-Baltistan region of Pakistan, which is administered by Pakistan but is claimed by India. Therefore, it is situated in the territory of Jammu and Kashmir.
Let`s go through the other options to understand why they are not the correct answer:
Option 1, Sikkim: Sikkim is a northeastern state in India, but Nanga Parbat is not located in this region.
Option 2, Himachal Pradesh: Himachal Pradesh is a state located in the northern part of India, but Nanga Parbat is not located here either.
Option 4, Uttarakhand: Uttarakhand is also a state in northern India, but Nanga Parbat is not situated here.
In conclusion, Nanga Parbat peak is located in the state of Jammu and Kashmir, which is option 3.