Question

In the following question, select the related number that will correct the place of the question mark. 
\[ 108 : 11664 :: 112 : \, ? \]

• A. 12504
• B. 12544
• C. 13644
• D. 17644

Hint:

In number analogy problems, look for mathematical patterns such as squares, cubes, multiplications, or divisibility rules to identify relationships.

Answer 1

The Correct Option is B

Observing the pattern in the given numbers: 1. \( 108 \) and \( 11664 \) have a mathematical relation. Checking the square: \[ 108^2 = 11664 \] This suggests the pattern follows \( n^2 \). 2. Applying the same pattern to \( 112 \): \[ 112^2 = 12544 \] Thus, the missing number is \( 12544 \).