Question 74

Logical Reasoning Alphanumeric series Easy

Find out the wrong number in the FOLLOWING series.
2, 5, 10, 17, 26, 38, 50, 65

(A) 50
(B) 65
(C) 26
(D) 38
✓ Correct Answer: Option D Verified Solution

📘 Step-by-Step Solution & Detailed Explanation:

The series is: 2, 5, 10, 17, 26, 38, 50, 65.

Differences between consecutive terms:

  • 5 - 2 = 3
  • 10 - 5 = 5
  • 17 - 10 = 7
  • 26 - 17 = 9
  • 38 - 26 = 12
  • 50 - 38 = 12
  • 65 - 50 = 15

The differences should follow an arithmetic progression with a common difference of 2: 3, 5, 7, 9, 11, 13, 15.

The expected number after 26 is 26 + 11 = 37, but the given number is 38. Therefore, 38 is the wrong number.

Answer: (D) 38

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