Difficulty: Easy
Correct Answer: 4-32
Explanation:
Introduction / Context:
Numeric classification often uses exponent relations, such as squares and cubes. In this set, the intended relation is second = first^3. Identifying the pair that breaks this rule requires quick recognition of small powers and comfort with mental arithmetic under time pressure.
Given Data / Assumptions:
Concept / Approach:
Compute cubes of 2, 3, 4, and 5. Compare against the second number of each pair. Any mismatch identifies the odd pair. This is a straightforward recognition task that benefits from memorizing cubes up to at least 10 for speed.
Step-by-Step Solution:
Verification / Alternative check:
Note that 32 is a power of 2 (2^5), which can distract solvers who lean on recognition of common powers without checking the base. Confirm by direct multiplication for 4^3: 4*4*4 = 16*4 = 64.
Why Other Options Are Wrong:
Common Pitfalls:
Confusing powers of 2 with cubes of other integers. Always compute the exact power relation defined by the pattern rather than relying on familiarity with a single number like 32.
Final Answer:
4-32
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