Odd One Out — Among 17, 27, 29, and 37, identify the single value that differs in primality or special form; justify your choice.
Verbal Reasoning
Classification
Difficulty: Easy
Choose an option
Answer
Correct Answer: 27
Explanation
Introduction / Context:This question evaluates recognition of prime numbers versus non-prime special forms. You must detect which one does not share the basic prime property with the others.
Given Data / Assumptions:
- Numbers: 17, 27, 29, 37.
- Prime definition: exactly two positive divisors.
- 27 is a known cube candidate since 3^3 = 27.
Concept / Approach:First check primality; then check perfect power status.
Step-by-Step Solution:17: prime.29: prime.37: prime.27: equals 3^3, not prime.Therefore, three primes vs one cube composite.
Verification / Alternative check:Try dividing 27 by small primes: 27 = 3 * 9 confirms compositeness.
Why Other Options Are Wrong:
- 17: Prime; matches the majority class.
- 29: Prime; matches the majority class.
- 37: Prime; matches the majority class.
Common Pitfalls:Assuming 27 is prime because it is odd; oddness does not imply primality.
Final Answer:27