Correct Option (B)
The statement utilizes a metaphor where the States are represented as "pearls" and the Centre as the "thread" that unites them into a "necklace." This analogy explicitly conveys the Centre's indispensable role in maintaining the cohesion and integrity of the constituent units (States). The phrase "if the thread snaps, the pearls are scattered" implies that a weakening or absence of a strong Centre would lead to disunity, fragmentation, or a loss of national coherence among the States. Therefore, a strong Centre is presented as the essential binding force required to preserve national unity and prevent the disintegration of the federal structure.
Incorrect Options:
Option (A) A strong Centre and strong States make the federation strong: While a well-functioning federal system typically involves strength at both the central and state levels, the given statement's metaphor specifically highlights the Centre's role as the unifying and preventative force against fragmentation. It emphasizes the Centre's binding function rather than an equal balance of power or strength between the two governmental tiers.
Option (C) A strong Centre is a hindrance to State autonomy: The statement's primary focus is on the Centre's function in preserving national unity and preventing the dispersal of States. It does not suggest or imply that a strong Centre inherently restricts or diminishes State autonomy. The metaphor underscores the importance of cohesion, not a conflict with the powers or independence of the States.
Option (D) State autonomy is a prerequisite for a federation: While State autonomy is a fundamental characteristic and often a foundational element of a federal system, the provided statement specifically addresses the ongoing role of the Centre in sustaining the federation. The metaphor emphasizes the Centre's function in maintaining the integrity and coherence of the existing federal arrangement, rather than outlining the initial conditions for its establishment.