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数据充分DS-16713 【难度:680-700】 Time Cost
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【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.

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当前版本由 Helen 更新于2018-09-06 14:27:25 感谢由 Helen 对此题目的解答所做出的贡献。

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)

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    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

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    700+冲冲冲!!!

    这网友解析在瞎搞吧

    3 0 回复 2020-07-10 16:13:18

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    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
    
    Answer: C

    1 0 回复 2020-03-13 16:23:57

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    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

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      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

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    乔治8198

    没想到price可以有小数

    1 0 回复 2018-12-13 21:32:13

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      kadxz555回复乔治8198

      是的!没想到鸭!

      0 0 回复 2019-06-05 05:01:51

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    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

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    lxra

    price 可以取小数!!不一定是整数

    0 0 回复 2018-07-10 18:43:28

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