Difficulty: Easy
Correct Answer: 143
Explanation:
Introduction / Context:
Quick divisibility checks are common in classification problems. A routine trick is to test for divisibility by notable small primes such as 11. Among the options, one number is a clean multiple of 11, while the others are not. Spotting this property gives a fast and reliable route to the answer without heavy computation.
Given Data / Assumptions:
Concept / Approach:
Use the 11-divisibility test or factor recognition. Only one number among the set is a multiple of 11, giving the required 3-to-1 split for an odd-one-out item.
Step-by-Step Solution:
Verification / Alternative check:
Perform the alternating-sum test for 11: for 143, (1 − 4 + 3) = 0 → divisible by 11.
Why Other Options Are Wrong:
Common Pitfalls:
Assuming 217 = 11*19 (it is not); 11*19 = 209. Always verify.
Final Answer:
143
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