Find the odd number: In 49, 140, 112, and 97, three are multiples of 7 while one is not. Identify the non-multiple of 7.

Difficulty: Easy

Correct Answer: 97

Explanation:

Introduction / Context:This item distinguishes a non-multiple of 7 among clear multiples of 7.

Given Data / Assumptions:

  • Numbers: 49, 140, 112, 97.
  • 49 = 7^2; 140 = 7 * 20; 112 = 7 * 16.

Concept / Approach:Confirm multiples of 7 by division or by recognizing standard products.

Step-by-Step Solution:

49 → multiple of 7.140 → multiple of 7.112 → multiple of 7.97 → not divisible by 7 (7 * 13 = 91; 7 * 14 = 98).

Verification / Alternative check:97 is prime; immediate neighbors 91 and 98 show it cannot be 7k.

Why Other Options Are Wrong:They are exact multiples of 7 and fit the majority property.

Common Pitfalls:Mistaking 98 as present; careful reading avoids misselection.

Final Answer:97 is not a multiple of 7 and is the odd number.

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