Which political party announced that it was quitting the BJP led National Democratic Alliance (NDA) coalition at the Centre over policy disagreements?

Introduction / Context:
Coalition politics in India often involves alliances and breakups between national and regional parties. The National Democratic Alliance (NDA), led by the Bharatiya Janata Party (BJP), has included several regional allies over time. Occasionally, tensions over policy issues or regional demands lead a partner to withdraw support at the Centre. This question asks you to identify which party announced that it was quitting the BJP led NDA government at the central level over such disagreements.

Given Data / Assumptions:

• The alliance mentioned is the BJP led National Democratic Alliance (NDA).
• The focus is on a party that publicly announced its decision to quit the alliance at the Centre.
• Options include Shiv Sena, Telugu Desam Party (TDP), Lok Janshakti Party (LJP), and Janata Dal (United) (JD(U)).
• We assume knowledge of major political developments and alliance changes.

Concept / Approach:
The Telugu Desam Party (TDP), a regional party with its base in Andhra Pradesh, withdrew from the NDA government at the Centre after disagreements over issues such as special category status and financial support for the state. Although Shiv Sena and other parties have had tensions with the BJP, the specific high profile case referenced in many general knowledge questions about quitting the NDA over such demands is that of the TDP. Lok Janshakti Party and JD(U) have had their own phases of joining and leaving alliances, but the question is framed in the context most commonly associated with TDP's exit.

Step-by-Step Solution:
Step 1: Recall that the Telugu Desam Party, led by N. Chandrababu Naidu, raised concerns about inadequate central support for Andhra Pradesh. Step 2: Remember media coverage of the TDP withdrawing its ministers from the Union Cabinet and eventually quitting the NDA coalition. Step 3: Consider that Shiv Sena, while critical of the BJP on many occasions, remained in alliance at key times but has separate episodes of political realignment at state and national levels. Step 4: Note that LJP and JD(U) have had different trajectories and are not the party most widely associated with the described withdrawal over special status demands. Step 5: Conclude that Telugu Desam Party is the correct answer.

Verification / Alternative check:
Political timelines and news summaries about NDA partners clearly record the moment the TDP walked out of the NDA, citing dissatisfaction with the budget and unfulfilled promises to Andhra Pradesh. This event is highlighted in many exam oriented current affairs compilations as a major alliance break. While Shiv Sena and others also feature in alliance stories, they do not match the specific narrative referenced here as closely as TDP does.

Why Other Options Are Wrong:
Shiv Sena has had a complex relationship with the BJP, including later political shifts, but the characteristic case of quitting the NDA at the Centre over Andhra specific demands belongs to TDP. Lok Janshakti Party and JD(U) have joined and left alliances at different times, but they are not the party most widely mentioned in this specific context. Therefore, choosing any of these would not accurately reflect the event described in the question.

Common Pitfalls:
Students sometimes confuse different episodes of alliance tension and may guess Shiv Sena because it is a well known critic of the BJP. Another pitfall is not distinguishing between state level and central level alliance changes. Carefully recalling that the Andhra Pradesh centred dispute and exit involved the Telugu Desam Party will guide you to the right answer.

Final Answer:
The party that announced it was quitting the BJP led NDA at the Centre was the Telugu Desam Party.