 Or

##### 请描述一下这个错误：

【OG20-P283-350题】

Is the sum of the prices of the 3 books that Shana bought less than \$48?(1)The price of the most expensive of the 3 books that Shana bought is less than \$17.(2)The price of the least expensive of the 3 books that Shana bought is exactly \$3 less than the price of the second most expensive book.

• 分析A选项 xxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxx
• 分析B选项 xxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxx
• 分析C选项 xxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxx
• 分析D选项 xxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxx
• 分析E选项 xxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxx   暂无雷哥网文字解析

`设三个价格：a≤b≤c条件1：17*3=51>48，c<17，不充分条件2：a+3=b，不充分结合：b≤c<17，a<14，a+b+c<14+17+17=48，充分`

### 题目讨论 （7条评论） • 499685skw

`明明就是两个条件放在一起算的但却选了B，对自己无语了` 0 0 回复 2022-09-05 15:13:46

• 700+冲冲冲！！！

`这网友解析在瞎搞吧` 3 0 回复 2020-07-10 16:13:18

• 梦sir

```Target question: Is the sum of the prices of the 3 books less than \$48 ?

Let A = price of the LEAST expensive book (in dollars)
Let B = price of the mid-priced expensive book (in dollars)
Let C = price of the MOST expensive book (in dollars)

So, A < B < C

Statement 1: The price of the most expensive of the 3 books that Shana bought is less than \$17.
So, C < 17
Let's TEST some values.
There are several cases that satisfy statement 1. Here are two:
Case a: A = \$1, B = \$2 and C = \$3, in which case A + B + C = 1 + 2 + 3 = 6. In this case, the answer to the target question is YES, the sum of the prices IS less than \$48
Case b: A = \$16.25, B = \$16.50 and C = \$16.75, in which case A + B + C = 16.25 + 16.50 + 16.75 = 49.50. In this case, the answer to the target question is NO, the sum of the prices is NOT less than \$48
Since we cannot answer the target question with certainty, statement 1 is NOT SUFFICIENT

Statement 2: The price of the least expensive of the 3 books that Shana bought is exactly \$3 less than the price of the second most expensive book.
In other words, A = B - 3
Let's TEST some values again.
There are several cases that satisfy statement 1. Here are two:
Case a: A = \$1, B = \$4 and C = \$10, in which case A + B + C = 1 + 4 + 10 = 15. In this case, the answer to the target question is YES, the sum of the prices IS less than \$48
Case b: A = \$1, B = \$4 and C = \$100, in which case A + B + C = 1 + 4 + 100 = 105. In this case, the answer to the target question is NO, the sum of the prices is NOT less than \$48
Since we cannot answer the target question with certainty, statement 2 is NOT SUFFICIENT

Statements 1 and 2 combined
Statement 1 tells us that C < 17
Statement 2 tells us that A = B - 3
Let's MAXIMIZE ALL of the values
If C < \$17, then the greatest possible value of C = \$16.99
Since B must be less than C, the greatest possible value of B = \$16.98
Since A is \$3 less than B, greatest possible value of A = \$12.98
So, when we MAXIMIZE all 3 values, A + B + C = \$16.99 + \$16.98 + \$12.98 = \$46.95, which is less than \$48
If if the GREATEST values of A, B and C have a sum that's less than \$48, we can conclude that is must be the case that A + B + C < 48
In other words, the answer to the target question is YES, the sum of the prices IS less than \$48
Since we can answer the target question with certainty, the combined statements are SUFFICIENT 1 0 回复 2020-03-13 16:23:57

• Zzzzs

`不是只要可以回答是yes 还是no 就行了吗？ 难道还要一定可以确定是yes才能是sufficient的吗？` 0 0 回复 2019-03-19 17:08:01

• 534957vn回复 Zzzzs

能确定是yes还是no就行，不一定得是yes 0 0 回复 2022-05-26 19:32:00

• 乔治8198

`没想到price可以有小数` 1 0 回复 2018-12-13 21:32:13

• 是的！没想到鸭！ 0 0 回复 2019-06-05 05:01:51

• Jacee

`（1）三本书如果都是16.5，加总大于48；如果都是15，加总小于48,；所以不能确定，（1）单独不行。（2）只知道两本书的关系，第三本价格可以任意，（2）单独不行。（1）+（2）假设总价48，当最贵的一本书17时，设最便宜一本x，中间的x+3，解得分别是14、17；当最贵一本低于17（条件1）时，中间那本将大于17，从而不是中间贵的了，因此总价格必定小于48，有确定解。` 3 0 回复 2018-08-23 11:05:30

• lxra

`price 可以取小数！！不一定是整数` 0 0 回复 2018-07-10 18:43:28  • 手机注册
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