Sentence Insertion and Paragraph Completion Short Notes for CAT: Concepts, Formulas, Worked Examples & Practice

There is a sentence that is missing in the paragraph below. Look at the paragraph and decide where (option 1, 2, 3, or 4) the following sentence would best fit.
Sentence: The opacity of these algorithmic decisions creates a democratic deficit, as citizens subject to automated governance cannot meaningfully challenge outcomes they cannot comprehend.
Passage: The deployment of machine learning systems in public administration promises to eliminate bureaucratic inefficiency and reduce human bias in decision-making. ___(1)___. Deep neural networks, however, operate through layers of non-linear transformations that render their internal logic fundamentally inscrutable, even to their creators. ___(2)___. When such systems are used to determine welfare eligibility or criminal sentencing, the affected individuals receive outcomes without explanations that would satisfy basic standards of procedural fairness. ___(3)___. The opacity of these algorithmic decisions creates a democratic deficit, as citizens subject to automated governance cannot meaningfully challenge outcomes they cannot comprehend. ___(4)___. This tension between technocratic efficiency and democratic accountability suggests that the integration of AI into the state apparatus requires not merely technical safeguards but a fundamental rethinking of the social contract between government and governed.

There is a sentence that is missing in the paragraph below. Look at the paragraph and decide where (option 1, 2, 3, or 4) the following sentence would best fit.
Sentence: Consequently, the moral argument for progressive taxation shifts from a matter of simple fairness to a prerequisite for preserving the very democratic institutions that property rights rely upon.
Paragraph: The classical liberal tradition has long defended private property as an extension of individual liberty, arguing that the right to accumulate wealth is inseparable from the right to personal autonomy. ___(1)___. Critics of this view, however, point out that extreme concentrations of wealth inevitably translate into disproportionate political influence, thereby undermining the equal citizenship that liberalism ostensibly champions. ___(2)___. Defenders of the market respond that any attempt to forcibly redistribute wealth violates the foundational principle of self-ownership, reducing citizens to mere instruments of the state. ___(3)___. Yet, if the unchecked accumulation of capital eventually erodes the legal framework that makes property ownership possible, a purely absolutist defense of wealth collapses into a contradiction. ___(4)___. Without this institutional safeguard, the absolute right to property becomes self-defeating, as the very liberty it was meant to protect is consumed by oligarchic capture.