Observe the following numerical analogy: 55 is related to 11 according to a specific operation. Using the same rule, 125 will be related to which of the following numbers?

Introduction / Context:
This question involves a simple numerical analogy based on division. The number 55 is related to 11 in a particular way, and you must discover that relation and then apply it consistently to 125 to find the correct answer from the options.

Given Data / Assumptions:

• First pair: 55 : 11
• Second pair: 125 : ?
• All numbers are positive integers and the pattern is likely to use basic arithmetic operations such as multiplication or division.

Concept / Approach:
A natural first check is to see if the second number is a factor or multiple of the first. If so, the relation may be simple division or multiplication. Here, 55 divided by 11 gives a neat integer, which strongly suggests that division by 5 or division by another factor is involved in the pattern.

Step-by-Step Solution:

Verification / Alternative check:
Test whether any other simple rule could work. For example, subtracting 44 from 55 gives 11, so one might check subtracting 44 from 125 which yields 81, but 81 is not an option. By contrast, division by 5 turns both 55 and 125 into reasonable results and matches an available choice for the second pair. This confirms division by 5 as the intended pattern.

Why Other Options Are Wrong:

• 22 would come from dividing 125 by a value close to 5.7, which is not a clean parallel to 55 and 11.
• 5 is the result of 55 divided by 11, not the result for 125 under the same division rule.
• 101 has no simple relation to 125 based on the 55 to 11 pattern.
• 15 would require division of 125 by approximately 8.33, which does not match the first pair.

Common Pitfalls:
Some candidates focus only on the numeric difference between the two numbers instead of considering division. Others might misapply the factor and try to divide by 11 in both cases, which would not give an integer from 125. Always check divisibility and choose the simplest consistent rule that works for both pairs.

Final Answer:
Using the same rule, 125 is related to 25.