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's 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. Therefore, the correct answer is 25.
Difficulty: Hard
Question Type: Standard Multiple Choice
SAT考试官方网站每日一题之数学篇（三）
美勤精英顾问
- New SAT 数学题型和解题策...
- New SAT 数学题型和解题策...
- SAT数学常用词汇中英文对照
- SAT数学常用词汇中英文对照代...
- SAT考试难度不高 数学相当于...
- SAT考试难度不高 数学相当于...
- 美SAT分数政策变脸：我的成绩...
- 美SAT分数政策变脸：我的成绩...
- SAT数学考试做题时需要用到的...
- SAT数学考试做题时需要用到的...
- SAT数学考题知识范围一览
- SAT数学考题知识范围一览SAT...
- SAT数学真题精选
- SAT数学真题精选1. If 2 x...
- SAT数学练习题
- SAT数学练习题1. Which of...
- SAT数学“概率论”部分难题选...
- SAT数学概率论部分难题选讲SA...
- The Importance of the O...
- The Importance of the O...