Identify the odd number: Among 119, 154, 85, and 51, three are multiples of 17 while one is not. Choose the non-multiple of 17.

Difficulty: Easy

Correct Answer: 154

Explanation:


Introduction / Context:
This set highlights a specific divisor (17). The outlier is the number not divisible by 17.


Given Data / Assumptions:

  • 119 = 7 * 17; 85 = 5 * 17; 51 = 3 * 17.
  • 154 is near 153 (9 * 17) and 170 (10 * 17).


Concept / Approach:
Compare to adjacent multiples of 17 to test divisibility quickly.


Step-by-Step Solution:

119 → 17 * 7 → divisible.85 → 17 * 5 → divisible.51 → 17 * 3 → divisible.154 → not equal to 17 * k for integer k (between 153 and 170) → not divisible.


Verification / Alternative check:
Compute 154 ÷ 17 ≈ 9.058… non-integer. Hence it is the outlier.


Why Other Options Are Wrong:
Each is an exact multiple of 17.


Common Pitfalls:
Assuming “nearby” to a multiple implies divisibility; exact equality is required.


Final Answer:
154 is not divisible by 17 and is the odd number.

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