Choose the odd number: Among 43, 53, 63, and 73, three are prime and one is composite. Identify the composite number.

Difficulty: Easy

Correct Answer: 63

Explanation:

Introduction / Context:Most numbers in this set are primes; the single composite is the odd one out.

Given Data / Assumptions:

  • Set: 43, 53, 63, 73.
  • Primes around 40–80 are commonly tested.

Concept / Approach:Use digit-sum rule for 3 and quick small-prime checks.

Step-by-Step Solution:

63 → 6 + 3 = 9 → divisible by 3 → composite.43 → not divisible by 2, 3, 5 → prime.53 → not divisible by 2, 3, 5 → prime.73 → not divisible by 2, 3, 5 → prime.

Verification / Alternative check:Direct division by 7: 63 = 7 * 9 confirms compositeness.

Why Other Options Are Wrong:They lack non-trivial divisors and are prime.

Common Pitfalls:Assuming “ends with 3” implies divisibility by 3; the rule concerns digit sums, not the last digit.

Final Answer:63 is composite and thus the odd number.

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