Digital Public Infrastructure (DPI) and AI Adoption

* Statement 1 is not correct: The formation of India’s own internet companies, similar to China’s approach, is not an aim of the Digital India programme. The initiative focuses on creating digital infrastructure, providing digital services, and promoting digital literacy — not establishing government-backed internet firms. * Statement 2 is not correct: The Digital India plan does not include any policy framework to attract foreign multinational corporations to build data centres in India. While data localisation and data centre policies have emerged later under different frameworks, they are not part of the original Digital India objectives. * Statement 3 is correct: One of the key aims of Digital India is to connect villages through broadband and to provide Wi-Fi access in schools, public places, and tourist centres. This is part of its core pillars like Broadband Highways, Public Internet Access Programme, and Early Harvest Programmes.

Statement 1 is Correct: Mission Sudarshan Chakra is designed as a multi-domain security umbrella. It explicitly aims to enhance India's air defence, ballistic missile defence, and aerial offensive capabilities, acting as both a defensive shield and an offensive sword. Statement 2 is Correct: The mission integrates advanced technologies like AI, space-based sensors, and directed energy weapons to ensure rapid, precise, and powerful defence responses. This indigenous development (incorporating projects like Project Kusha) is specifically aimed at reinforcing India's strategic autonomy and self-reliance in the defence sector. Statement 3 is Correct: A major distinguishing feature of this initiative is its expanded scope. Announced as a 10-year national security initiative, a stated goal of the mission is to bring all public places (including hospitals, railways, and religious/cultural sites) under an expanded nationwide security shield by 2035, moving beyond the conventional protection of just military and strategic installations. Therefore, the correct option is A.

Relationship 1 is Correct: Statement I outlines the core objective of the Sagarmala Programme, launched in 2015, which is port-led economic development through cost-effective and sustainable coastal infrastructure. Statement II provides empirical evidence of its success, such as the 118% growth in coastal shipping, a 700% surge in inland waterway cargo movement, and improved global port rankings (with nine Indian ports now in the global top 100). Thus, the tangible achievements in Statement II directly validate the effectiveness of the foundational strategies mentioned in Statement I. Relationship 2 is Correct: Statement III highlights the goals of Sagarmala 2.0, which focuses on smart ports, green shipping, and positioning India as a global maritime innovation hub aligned with the Viksit Bharat 2047 and Atmanirbhar Bharat visions. This acts as an evolutionary extension of the foundational infrastructure goals in Statement I, embedding them into a broader, future-oriented innovation framework rather than replacing them. Relationship 3 is Incorrect: Statement I does not contradict Statement III. The initial focus on traditional and sustainable coastal infrastructure in the original Sagarmala Programme serves as the necessary physical base upon which the modern innovation and technology-driven goals of Sagarmala 2.0 are built. The two phases are complementary and represent a progressive policy evolution, not a contradiction. Therefore, relationships 1 and 2 are correct, making Option B the correct choice.

Statement 1 is Incorrect: The Summit's intellectual framework and core philosophy were anchored in three foundational principles (Sutras): People, Planet, and Progress, not People, Planning, and Progress. Statement 2 is Incorrect: The New Delhi Declaration introduced the Charter for Democratic Diffusion of AI to promote affordable access to foundational AI resources, support local innovation, and build resilient AI ecosystems. However, it was established as a voluntary and non-binding framework, respecting national laws, rather than a binding treaty. Statement 3 is Correct: The New Delhi Declaration on AI Impact was structured around seven thematic pillars of action, officially referred to as Chakras. These foundational areas included Access for Social Empowerment, AI for Science, and Secure and Trusted AI, alongside Democratizing AI Resources, Economic Growth & Social Good, Human Capital Development, and Resilient, Efficient & Innovative AI Systems. Therefore, option D is the correct answer.

Statement 1 is Correct: At their core, Large Language Models (LLMs) function by analyzing input context and calculating a statistical probability distribution for the next possible words (tokens) in a sequence. In their most basic form of text generation (known as "greedy decoding"), they pick the word with the absolute highest probability. While standard applications often introduce controlled randomness (stochastic sampling like *top-k* or *temperature scaling*) to make text more creative, the foundational mechanism relies on assigning probabilities to select the next word. Statement 2 is Correct: LLM training relies heavily on mathematical optimization. Algorithms such as Stochastic Gradient Descent and backpropagation are used to iteratively adjust billions of model parameters. The explicit goal of this process is to minimize a "loss function," which mathematically represents the model's prediction errors compared to the actual training data. Statement 3 is Incorrect: LLMs do not produce inherently unbiased outputs. Because they learn from massive, human-generated datasets scraped from the internet, they are well-documented to inherit, reflect, and sometimes amplify historical and societal biases (e.g., gender, racial, or cultural stereotypes) present in their training data. Therefore, the correct option is B.