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

More Questions from Classification

Discussion & Comments

No comments yet. Be the first to comment!
Join Discussion