Number Logic Puzzle: Find Related Number for 28 (10:6)

This question requires us to identify a specific logical pattern between pairs of numbers. We are given two examples demonstrating this pattern: 10 is related to 6, and 22 is related to 12. Our task is to apply this same logic to find the number that relates to 28.

Analyzing the Given Number Pairs

Let's examine the first pair: 10 and 6.

Let's examine the second pair: 22 and 12.

We need to find a consistent rule that transforms the first number into the second number in both cases.

Deriving the Underlying Logic

Consider the relationship between 10 and 6. We can observe that dividing 10 by 2 gives 5, and adding 1 to 5 results in 6. Let's express this mathematically:

$ \left( \frac{10}{2} \right) + 1 = 5 + 1 = 6 $

This suggests a potential logic: Divide the first number by 2 and add 1 to get the second number.

Let's test this logic with the second pair, 22 and 12, to ensure consistency:

$ \left( \frac{22}{2} \right) + 1 = 11 + 1 = 12 $

The result, 12, matches the second number in the pair. This confirms that the logic is indeed: divide the first number by 2 and add 1.

Applying the Logic to Find the Number Related to 28

Now, we apply the confirmed logic to the number 28. According to the pattern, we need to divide 28 by 2 and then add 1.

Step 1: Divide 28 by 2.

$ \frac{28}{2} = 14 $

Step 2: Add 1 to the result.

$ 14 + 1 = 15 $

Therefore, following the established logic, 28 is related to 15.

Conclusion

The number related to 28, based on the logic derived from the pairs (10, 6) and (22, 12), is 15. This matches option 3.