Odd One Out — In 83–75, 58–50, 49–42, 25–17, three differences are 8. Find the exception.

Difficulty: Easy

Correct Answer: 49-42

Explanation:


Introduction / Context:
Constant-difference checks quickly reveal outliers in paired numbers. Here, the majority difference is 8.



Given Data / Assumptions:

  • Pairs: 83–75, 58–50, 49–42, 25–17.
  • Compute absolute differences for consistency.


Concept / Approach:
Calculate |a − b| for each pair and compare values.



Step-by-Step Solution:
|83 − 75| = 8.|58 − 50| = 8.|49 − 42| = 7.|25 − 17| = 8.Only 49–42 deviates from the common difference of 8.



Verification / Alternative check:
Because all are descending pairs, direct subtraction b = a − d yields the same conclusion with d = 8 except for 49–42 (d = 7).



Why Other Options Are Wrong:

  • 83–75: follows difference 8.
  • 58–50: follows difference 8.
  • 25–17: follows difference 8.


Common Pitfalls:
Simple arithmetic slips. Recheck subtraction carefully for 49–42.



Final Answer:
49-42

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