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下面是一道SAT数学练习题,答案在下一页,请自行完成后参看答案和解析。
Read the following SAT test question, then click on a button to select your answer.
The sum of the positive odd integers less than 50 is subtracted from the sum of the positive even integers less than or equal to 50. What is the resulting difference?
A.0
B.25
C.50
D.100
E.200
Correct Answer: B
Here&aposs Why:
The sum of the positive odd integers less than 50 is 1 + 3 + 5 + ··· + 45 + 47 + 49, and the sum of the positive even integers less than or equal to 50 is 2 + 4 + 6 + ··· + 46 + 48 + 50. When the first sum is subtracted from the second, the terms can be regrouped to form (2 – 1) + (4 – 3) + ··· + (48 – 47) + (50 – 49), which is just 1 + 1 + 1 + ··· + 1, where there are 25 ones. Therore, the correct answer is 25.
Difficulty: Hard
Question Type: Standard Multiple Choice
SAT数学每日一练 12月10日SAT数学每日一练 12月10日下面是一道SAT数学练习题,答案在下一页,请自行完成后参看答案和解析。
Read the following SAT test question, then click on a button to select your answer.
The sum of the positive odd integers less than 50 is subtracted from the sum of the positive even integers less than or equal to 50. What is the resulting difference?
A.0
B.25
C.50
D.100
E.200
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