中间图

Or
icon
OG20官方指南,建议同学们刷3遍。第一遍做题了解题型和考点,第二遍精刷,第三遍集中解决疑难问题。建议考生第一遍刷题采用官方正版纸质书籍,若遇到疑难问题,欢迎在此专区查阅解析,提供解析,参与题目讨论,与所有考生一起解决疑难问题。
数据充分DS-16713 【难度:680-700】 Time Cost00:00
收藏
报告题目错误
请选择错误类型:
请描述一下这个错误:

取消

建议使用官方纸质指南,查看对照完整题目

【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 分析选校图标
    xxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxx
  • 分析B选项 分析选校图标
    xxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxx
  • 分析C选项 分析选校图标
    xxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxx
  • 分析D选项 分析选校图标
    xxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxx
  • 分析E选项 分析选校图标
    xxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxx
该题平均耗时:1m48s ,平均正确率:65.4%。 该题由网友qMLQ6k4T提供。更多GMAT题目请
暂无雷哥网文字解析
当前版本由 huan~ 更新于2018-09-06 14:27:25 感谢由 huan~ 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 5条评论)

用户头像
提交
  • 用户头像

    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
    0 0 回复 2020-03-13 16:23:57
  • 用户头像

    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
  • 用户头像

    乔治8198

    没想到price可以有小数
    0 0 回复 2018-12-13 21:32:13
    • 评论用户头像

      kadxz555回复乔治8198

      是的!没想到鸭!

      0 0 回复 2019-06-05 05:01:51

  • 用户头像

    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。

    0 0 回复 2018-08-23 11:05:30
  • 用户头像

    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
    • 邮箱注册
    登录>







    关闭图标

    标题图

    • 图标

      知识库学习

      GMAT语法、逻辑、阅读、数学各单项备考知识点学习及测验
    • 图标

      在线做题

      包含GMAT各单项必考知识点题目、OG/PREP/GWD/雷哥讲义题目、难度650/680/700/730题库题目练习及题目解析
    • 图标

      在线模考

      语文套题/数学套题/全套仿真模考,包含GWD/PERP/精选模考等上百套套题模考
    • 图标

      在线测评

      适合5种不同基础的GMAT学员,测评后可自动出具分数报告及复习计划指导
    • 图标

      资料下载

      GMAT必备备考资料下载、鸡精下载、课程课件等免费下载
    • 图标

      课程学习

      注册会员后,可在GMAT课程区,选择免费直播课程及公开课程进行在线学习
    ×
    请你选择你要查看的模考成绩单
    立即开通 暂不开通
    加载图片
    网络异常