Classification – Alphanumeric codes: choose the odd one out by inspecting the numeric part. Three codes contain a composite even number (non-prime); one code contains the only prime number. Which code is different? Options: ZS12, PM4, RJ16, FD2.
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AZS12
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BPM4
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CRJ16
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DFD2
Answer
Correct Answer: FD2
Explanation
Introduction / Context:When multiple rules could exist among the letters, the number itself sometimes provides the cleanest separator. Here we test primality/compositeness of the numeric component to find the outlier.
Given Data / Assumptions:
- Codes: ZS12, PM4, RJ16, FD2.
- Numbers: 12, 4, 16, 2.
- Definition: a prime has exactly two positive divisors; composites have more than two.
Concept / Approach:Classify each number as prime or composite and select the only prime as the odd one out.
Step-by-Step Solution:12 = 2 * 2 * 3 → composite.4 = 2 * 2 → composite.16 = 2^4 → composite.2 → prime (the only even prime).
Verification / Alternative check:Quick divisor check confirms only 2 has exactly two divisors (1 and 2).
Why Other Options Are Wrong:ZS12, PM4, RJ16: Their numeric parts are composite, so they form the majority group.
Common Pitfalls:Misclassifying 1 (neither prime nor composite) or overlooking that 2 is the only even prime.
Final Answer:FD2