Final answer:
None of the provided number pairs have the same relationship as the pair 15 : 65, where 65 is obtained by multiplying 15 by 4 and adding 5. Therefore, based on the given relationship, none of the options is correct.
Step-by-step explanation:
The student's question involves finding a number pair that has a similar relationship to the given pair, 15 : 65. To solve this, we need to first understand the relationship between 15 and 65. By analyzing, we can observe that 65 is 15 multiplied by 4 and then adding 5 (15*4 + 5 = 65). Now we apply this same operation to the provided options to determine which pair has a similar relationship:
- Option a: 33 * 4 + 5 = 132 + 5 = 137, which does not match 141.
- Option b: 8 * 4 + 5 = 32 + 5 = 37, which does not match 28.
- Option c: 26 * 4 + 5 = 104 + 5 = 109, which does not match 102.
- Option d: 18 * 4 + 5 = 72 + 5 = 77, which does not match 82.
None of the options provided have a number pair with the exact same relationship as 15 : 65. Therefore, there must be an error in the question or the options provided because none match the pattern found in the original pair.
The final answer is that none of the options are correct based on the relationship present in the initial pair 15 : 65.