China shares international land borders with several Indian states; with which of the following Indian states does China not share a boundary?

Introduction / Context:
India shares land borders with several neighbouring countries, including China. The boundary with China runs across the Himalayan region and touches specific Indian states. Questions in geography and current affairs often ask which states share or do not share borders with particular countries. This question focuses on identifying the Indian state in the list that does not share a border with China.

Given Data / Assumptions:

We are dealing with the international land border between India and China.
Options given are Bihar, Arunachal Pradesh, Himachal Pradesh, and Sikkim.
The task is to identify which state among these does not touch the China border at all.
We assume the current political map of India and recognised international boundaries.

Concept / Approach:
The India China border lies mainly along the northern and northeastern Himalayan belt. The Indian states that share a border with China are Jammu and Kashmir region (including Ladakh), Himachal Pradesh, Uttarakhand, Sikkim, and Arunachal Pradesh. Bihar is a landlocked state in the eastern Indo Gangetic plain and borders Nepal and other Indian states, but not China. Therefore, among the options, Bihar is the state that does not share a boundary with China, while Arunachal Pradesh, Himachal Pradesh, and Sikkim do.

Step-by-Step Solution:
Step 1: Recall the list of Indian states that share a border with China: Ladakh region, Himachal Pradesh, Uttarakhand, Sikkim, and Arunachal Pradesh. Step 2: Note that Arunachal Pradesh in the northeast has a long boundary with China. Step 3: Remember that Himachal Pradesh in the western Himalayas and Sikkim in the eastern Himalayas also share borders with China. Step 4: Locate Bihar on the map as a state in the eastern plains that borders Nepal to the north but is far from the high Himalayan boundary with China. Step 5: Conclude that Bihar does not share a border with China, while the other three options do.

Verification / Alternative check:
To verify, mentally sketch a map of northern India. Starting from the west, the China border touches the Ladakh region, then passes along Himachal Pradesh, Uttarakhand, Sikkim, and Arunachal Pradesh. Bihar lies south of Nepal and shares borders with states such as Uttar Pradesh, Jharkhand, and West Bengal. At no point does the India China border descend into the plains of Bihar. This geographic check confirms that Bihar is the correct answer.

Why Other Options Are Wrong:
Arunachal Pradesh is wrong because it has a disputed and extensive border with China in the northeast, often mentioned in news regarding the Line of Actual Control. Himachal Pradesh is wrong because its northern districts share a boundary with Tibet region of China. Sikkim is wrong because it is a small Himalayan state that has a defined border segment with China. All three are valid border states, so they do not fit the requirement of a state that does not share a border with China.

Common Pitfalls:
A common pitfall is to confuse the India Nepal and India China borders and to think that states like Bihar or Uttar Pradesh might touch China because they are in the north of India. Another mistake is to forget one or more border states and guess randomly. To avoid such errors, it is useful to memorise the precise list of Indian states that share a border with each neighbouring country and to mentally place them on a map during revision.

Final Answer:
China does not share its border with Bihar.