首页
外语
计算机
考研
公务员
职业资格
财经
工程
司法
医学
专升本
自考
实用职业技能
登录
外语
Each of the five divisions of a certain company sent representatives to a conference. If the numbers of representatives sent by
Each of the five divisions of a certain company sent representatives to a conference. If the numbers of representatives sent by
admin
2022-10-18
50
问题
Each of the five divisions of a certain company sent representatives to a conference. If the numbers of representatives sent by four of the divisions were 3, 4, 5, and 5, was the range of the numbers of representatives sent by the five divisions greater than 2?
(1) The median of the numbers of representatives sent by the five divisions was greater than the average (arithmetic mean) of these numbers.
(2) The median of the numbers of representatives sent by the five divisions was 4.
选项
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.
答案
C
解析
Let x be the unspecified number of representatives. By considering individual positive integer values of x, the median of the numbers is found to be 4 when x = 1,2, 3, or 4, and the median of the numbers is found to be 5 when x ≥ 5. For example, the case in which x = 2 is shown below.
2,3,4,5,5
(1) In terms of x, the average of the numbers is
. If x = 1, then by the remarks above the median is 4, which is greater than
(i.e., the median is greater than the average), and the range is 5-1 = 4. If x = 5, then by the remarks above the median is 5, which is greater than
(i.e., the median is greater than the average), and the range is 5 - 3 = 2; NOT sufficient.
(2) Given the assumption that the median of the numbers is 4, it follows from the previous remarks that x can be any one of the numbers 1,2,3, and 4. If x = 1, then the range is 5 - 1 = 4, which is greater than 2. If x = 4, then the range is 5 - 3 = 2, which is not greater than 2; NOT sufficient.
Given (1) and (2), then from the previous remarks and (2) it follows that x must be among the numbers 1,2,3, and 4. From (2) it follows that 4 >
, or x < 3, and thus x is further restricted to be among the numbers 1 and 2. However, for each of these possibilities the range is greater than 2: If x = 1, then the range is 5 - 1 = 4 > 2; and if x = 2, then the range is 5-2 = 3 > 2.
The correct answer is C;
both statements together are sufficient.
转载请注明原文地址:https://kaotiyun.com/show/O3tO777K
本试题收录于:
GMAT QUANTITATIVE题库GMAT分类
0
GMAT QUANTITATIVE
GMAT
相关试题推荐
TodayBobwaslateagainforclassbecauseheoverslept(睡过头),buthe______anexcuseofbeingill.
TheInternethasbrought______bigchangesinthewaywework.
Imagineonedayreadingthatyouhadbeenasubjectinariskyscienceexperimentwithoutknowingit.Atschool,youhadbeenfe
Icanhardly______thedifferencebetweenthesetwowords.
Becausethecompanywasdoingmorebusiness,itwasnecessaryto______thefactory.
Purchasingthenewproductionlinewillbea______dealforthecompany.
Thegovernmentplaced()onthenumbersofforeigncarsthatcouldbeimported.
Concerningmoneyoranythingelse,conflictsbetweenhusbandandwifeusuallyreflectapowerstruggle.Conflictsbetweenparen
Inancienttimesthemostimportantexaminationswerespoken,notwritten.IntheschoolsofancientGreeceandRome,testingus
Followthedirectionsonthebottlecarefullywhen______.
随机试题
经胃管肠内营养开始时应采用()
某药品生产日期为1999年5月21日,有效期为3年,本品可使用至哪一日为止
属于抗心律失常的药物是
对土地利用而言,以下对“集约边际”的描述正确的是()。
某商场(为一般纳税人)月初从某羊绒衫厂购进1000件羊绒衫,单价380,当月批发给个体商店700件,价税合并单价是550元,商场零售200件,价税合并单价是600元。问题:计算该商场当月销售羊绒衫应纳的增值税额。
目前商业银行的贷款重组方式主要有()。
在风险偏好设置与实施过程中,权衡各利益相关者的期望实质上是()与()的平衡。
《拉德茨基进行曲》不是被誉为“圆舞曲之王”的作曲家的作品。
faceshield
Thedesireforachievementisoneoflife’sgreatmysteries.Socialscientistshavedevotedlifetimesstudyingthedrivesthats
最新回复
(
0
)