Question

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

• A. 31
• B. 29
• C. 41
• D. 37

Hint:

Always check for square or cube patterns in number series. Square numbers like 4, 9, 16, 25 often appear in reasoning questions.

Answer 1

The Correct Option is B

Let's look at the difference between the consecutive numbers:

121 − 117 = 4
117 − 108 = 9
108 − 92 = 16
92 − 67 = 25

These differences form the sequence: $4, 9, 16, 25$ which are perfect squares: \[ 2^2, 3^2, 4^2, 5^2 \] Continuing this pattern, the next difference should be: \[ 6^2 = 36 \] Now subtract from the last term: \[ 67 - 36 = \boxed{29} \]