Now that you’ve gotten a little more confident, we’re going to give you the opportunity to practice "without the training wheels

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问题 Now that you’ve gotten a little more confident, we’re going to give you the opportunity to practice "without the training wheels." When you want to check your work, you can turn to the solutions at the end. If you aren’t familiar with some of the mathematical concepts, make a note to pay particular attention to that chapter in this book; this practice set covers a wide range of topics tested on the GMAT.
   On all data sufficiency problems, the answer choices are the same (as you’ve learned). We’ve put them here for your reference.
   A. Statement (1) ALONE is sufficient, but statement (2) alone is not sufficient.
   B. Statement (2) ALONE is sufficient, but statement (1) alone is not sufficient.
   C. BOTH statements TOGETHER are sufficient, but NEITHER statement ALONE is sufficient.
   D. EACH statement ALONE is sufficient.
   E. Statements (1) and (2) TOGETHER are NOT sufficient.
There are twenty students in a class, all of whom scored between 0 and 100 on their final exams. If the class average was 85, how many people scored below the average score on the exam?
   (1) Twelve people in the class scored higher than an 85.
   (2) The lowest eight scores added up to 640.

选项

答案E

解析 Statement (1) is tricky because it implies that eight people scored lower than 85, but in fact, it is possible according to the question for some people to have scored exactly an 85, so it is not sufficient and we can eliminate A and D.
   Statement (2) doesn’t really give us any information; it tells us that the lowest eight scores had an average of 80, but we don’t know how many of those scores were below 85. So we can eliminate B. Putting the statements together, we can tell that 12 people made above an 85 and the 8 others had an average of 80, but we can’t tell how many of the 8 were below an 85, so we have to eliminate C. E is our answer.
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