Choose the odd number: Three of the numbers are exact multiples of 17; one is not. Identify the number that is not divisible by 17.

Difficulty: Easy

Correct Answer: 88

Explanation:


Introduction / Context:
This classification focuses on a specific divisor (17). The outlier is the one not divisible by 17.


Given Data / Assumptions:

  • Candidates: 68, 88, 102, 238.
  • Recall: 17 * 4 = 68; 17 * 6 = 102; 17 * 14 = 238.


Concept / Approach:
Check division by 17 using simple multiples or quick arithmetic.


Step-by-Step Solution:

68 = 17 * 4 → divisible.102 = 17 * 6 → divisible.238 = 17 * 14 → divisible.88 ÷ 17 ≈ 5.176… → not divisible.


Verification / Alternative check:
Multiply back: 17 * 5 = 85 and 17 * 6 = 102; 88 is between these and hence not a multiple.


Why Other Options Are Wrong:
They are exact multiples of 17 and follow the majority rule.


Common Pitfalls:
Relying on rough estimation without confirming adjacent multiples (85 and 102).


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

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