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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