Final answer:
The correct answer is option B. After analyzing the number pairs, the odd one out is found by identifying the pattern in the mathematical operation applied to the first number to obtain the second. Only pair B (15:63) does not follow the pattern (first number × 2) + 1, making it the correct answer.
Step-by-step explanation:
The student has been given a sequence of number pairs and needs to identify which pair does not follow the same mathematical operations as the others. To solve this problem, we need to evaluate each pair and identify the pattern. Let's look at each option:
- A. 3:7 - The second number might be calculated by the operation (first number × 2) + 1.
- B. 15:63 - Applying the same potential pattern, (15 × 2) + 1, we get 31, not 63. This suggests a different operation is at work.
- C. 8:26 - Using the first pattern, (8 × 2) + 1, gives us 17, which is consistent with the pair given.
- D. 23:123 - Again, using the potential pattern, (23 × 2) + 1, gives us 47, not 123. This suggests another operation is at work.
Given that options A, C, and D can be translated with the operation (first number × 2) + 1 and only option B cannot, we can conclude that option B is the odd one out. Thus, the correct answer is B. 15:63.