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The correct answer is option 1, which states that all three statements are correct.
Statement 1 is correct because the Fifth Summit of BRICS was indeed held in Durban in 2013.
Statement 2 is correct as well. Dr. Manmohan Singh, the former Prime Minister of India, was the only head of state or government to have attended all BRICS Summits held so far. This highlights the consistent participation and commitment of India in the BRICS group.
Statement 3 is also correct. The theme of the Fifth Summit of BRICS was "BRICS and Africa: Partnership for Development, Integration, and Industrialization." This theme reflects the focus of the summit on strengthening ties between BRICS countries and Africa in various areas, such as development, integration, and industrialization.
Therefore, all three statements provided in the question are correct.