Multiple choice

Directions: Find the wrong number in the following series. 21, 44, 69, 96, 125, 157, 189

  1. 44

  2. 69

  3. 96

  4. 157
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D Correct answer
Explanation

Series: 21, 44, 69, 96, 125, 157, 189. Differences: 23, 25, 27, 29, 32, 32. The differences should be 23, 25, 27, 29, 31, 33. 125 + 31 = 156, not 157. Therefore, 157 is the wrong number.

AI explanation

The series follows a pattern based on increasing differences between consecutive terms. The differences between the terms are 23, 25, 27, 29, 32, and 32, where the number 156 breaks the pattern of increasing odd differences. If we continue the pattern of adding consecutive odd numbers starting with 23, the term after 125 should be 125 plus 31, which equals 156, and the next term should be 156 plus 33, which equals 189. Working through the pattern, the term 157 is incorrect because it should be 156, making the result 157.

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