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R is a list of 15 consecutive integers, and T is a list of 21 consecutive intege
R is a list of 15 consecutive integers, and T is a list of 21 consecutive intege
游客
2025-02-23
11
管理
问题
R is a list of 15 consecutive integers, and T is a list of 21 consecutive integers. The median of the integers in list R is equal to the least integer in list T. If the two lists are combined into one list of 36 integers, how many different integers are on the combined list?
选项
A、25
B、27
C、28
D、32
E、36
答案
C
解析
The median of the numbers in list R is the middle number when the numbers are listed in order from least to greatest, that is, the 8th number. Since the median of the numbers in list R is equal to the least integer in list T, the 8 greatest integers in R are the 8 least integers in T, and the number of different integers in the combined list is 15 + 21-8, or 28. The correct answer is Choice C.
This explanation uses the following strategy.
Strategy 8: Search for a Mathematical Relationship
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