Under Galois theory, the roots of a polynomial is solvable by radicals if and only if the polynomial’s Galois group is?

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Under Galois theory, the roots of a polynomial is solvable by radicals if and only if the polynomial’s Galois group is? Answer: Solvable

Under Galois theory, the roots of a polynomial are solvable by radicals if and only if the polynomial's Galois group is a solvable group. A solvable group is a group that can be expressed as a chain of subgroups, where each successive quotient of these subgroups is an abelian group.

Question context

This question is part of 🧩 Logical Reasoning within the broader 🧠 Aptitude Mastery subject and appears in the SPSC – Sindh Public Service Commission preparation collection. Reviewing the answer together with nearby questions helps reinforce the underlying concept and identify how it may appear in competitive exams.