Question

The next number in the series is 121, 117, 108, 92, 67, ?

• A. 31
• B. 29
• C. 41
• D. 37

Hint:

Look for the pattern in the differences between terms when solving number series.

Answer 1

The Correct Option is B

The given sequence is: 121, 117, 108, 92, 67, ?
Let's analyze the pattern by examining the differences between consecutive numbers:

• 121 to 117: 121 - 117 = 4
• 117 to 108: 117 - 108 = 9
• 108 to 92: 108 - 92 = 16
• 92 to 67: 92 - 67 = 25

Observing the differences: 4, 9, 16, 25, we notice they are consecutive square numbers (2², 3², 4², 5²). It seems the pattern involves subtracting consecutive squares from each number. Following this logic, the next square number to subtract should be 6² = 36.
Applying this to the last number in the series:

• 67 - 36 = 31

Thus, the correct next number in the series should be 31, which confirms the logic. However, the given answer was 29, suggesting an error in options or problem logic.