Identify the odd pair: In each pair A–B, the second number should be the cube of the first number (i.e., B = A^3). Choose the pair that does not follow this rule.

Introduction / Context:Classification questions test your ability to detect the rule that connects items and then spot the item that breaks that rule. Here, each option is a pair A–B. The intended rule is B = A^3 (the cube of A).

Given Data / Assumptions:

• We have four pairs: 1–1, 2–8, 3–27, 4–32.
• Target rule: B must equal A^3.
• All calculations use exact integer cubes.

Concept / Approach:The cube operation is defined as A^3 = A * A * A. Verify each pair by computing A^3 and comparing to B.

Step-by-Step Solution:

Verification / Alternative check:You can reverse-check by taking the cube root of B. cube_root(32) is not 4 (4^3 = 64). Hence this pair violates the rule.

Why Other Options Are Wrong:

Common Pitfalls:Mixing up squares and cubes is common. Another slip is computing 4^3 as 32 (it is 64). Always compute A * A * A carefully to avoid mental-math errors.

Final Answer:4 - 32 is the odd pair because 32 ≠ 4^3 (which is 64).