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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