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 employee of a certain company is in either Department X or Department 7, and there are more than twice as many employees in
Each employee of a certain company is in either Department X or Department 7, and there are more than twice as many employees in
admin
2017-10-16
34
问题
Each employee of a certain company is in either Department X or Department 7, and there are more than twice as many employees in Department X as in Department Y. The average(arithmetic mean)salary is $25,000 for the employees in Department X and $35,000 for the employees in Department Y. Which of the following amounts could be the average salary for all of the employees of the company?
Indicate all such amounts.
A $26,000
B $28,000
C $29,000
D $30,000
E $31,000
F $32,000
G $34,000
选项
答案
A,B
解析
One strategy for answering this kind of question is to find the least and/or greatest possible value. Clearly the average salary is between $25,000 and $35,000, and all of the answer choices are in this interval. Since you are told that there are more employees with the lower average salary, the average salary of all employees must be less than the average of $25,000 and $35,000, which is $30,000. If there were exactly twice as many employees in Department X as in Department Y, then the average salary for all employees would be, to the nearest dollar, the following weighted mean,
≈ 28,333 dollars
where the weight for $25,000 is 2 and the weight for $35,000 is 1. Since there are more than twice as many employees in Department X as in Department Y, the actual average salary must be even closer to $25,000 because the weight for $25,000 is greater than 2. This means that $28,333 is the greatest possible average. Among the choices given, the possible values of the average are therefore $26,000 and $28,000.
Thus the correct answer consists of Choices A($26,000)and B($28,000).
Intuitively, you might expect that any amount between $25,000 and $28,333 is a possible value of the average salary. To see that $26,000 is possible, in the weighted mean above, use the respective weights 9 and 1 instead of 2 and 1. To see that $28,000 is possible, use the respective weights 7 and 3.
This explanation uses the following strategies.
Strategy 1: Translate from Words to an Arithmetic or Algebraic Representation
Strategy 8: Search for a Mathematical Relationship
Strategy 12: Adapt Solutions to Related Problems
转载请注明原文地址:https://kaotiyun.com/show/IgkO777K
本试题收录于:
GRE QUANTITATIVE题库GRE分类
0
GRE QUANTITATIVE
GRE
相关试题推荐
Oneofthebestpiecesofmedicalnewstoemergeoverthelastseveralyearsisthatchocolatemay【C1】______youlivelonger,pro
Therelationshipbetweenemployersandemployeeshasbeenstudied______.
Ourpreferencesforcertaincolorsare______accordingtothepassage.Ifpeopleareexposedtobrightred,whichofthefollo
Thepassageismainlyabout______.WhichisNOTlistedasafactorinfluencingtheabilitytohaveahealthylifestyle?
DeathValleyisoneofthemostfamousdesertsintheUnitedStates,coveringawideareawithitsalkalisand.Almost20percen
Ted:Excuseme,canyoutellmewherethenearestrestaurantis?Smith:Oh,therestaurant?ThenearestoneistheCityRestaura
Closingpricesforacertainstockwererecordedeachdayforaweekinthetableabove.Ifthemonthlyaverage(arithmeticmean
Inthefigureabove,x=2.WhatistheareaofcircleO?
Inthefigureabove,threesquaresandatrianglehaveareasofA,B,C,andXasshown.IfA=144,B=81,andC=225,thenX=
Forty-fivepercentofallblooddonatedintheUnitedStatesistypeO.TypeObloodisessentialforemergencieswherethereis
随机试题
对于死因不明的尸体,侦查机关有权决定解剖,但应通告死者家属到场。()
Inourdayoftheautomobileandpavedhighwayfewpeopleeverencounterquicksand(流沙).Yetquicksandisstillcommoninmanypa
男性,35岁,近1个月出现消瘦,无咳嗽,无盗汗,无多汗,无心悸,无脾气暴躁。查体:血压110/70mmHg,心率70次/分,心律齐,甲状腺工度,质软。必须补充问诊的是
下列有关特发性腹膜后纤维化的叙述中错误的是
患者,女性,17岁。右侧面部起皮疹3年。3年前无明显诱因下于右侧眼睛周围出现褐青色斑,逐渐扩大。查体:右侧上下眼睑、额头部、颧部青灰色斑片,右侧巩膜轻度变蓝。最可能的诊断是
功绩制原则是人事管理中的一个重要原则,也是人事管理制度化、科学化的一个重要标志。()
复合会计分录就是( )的会计分录。
长江公司发生下列经济业务:(1)经批准于2013年1月1日发行每张面值100元,票面利率为6%(实际利率与票面利率一致),期限5年的债券100万张,该债券为一次还本付息债券,每年12月31日计提利息,发行收入已收到并存入银行(不考虑发行费用)。该
W公司销售环节的内部控制制度为:设立销售部,处理订单、签订合同、执行销售政策和信用政策;销售部经理对30万元以内的赊销业务有权批准,并根据具体情况确定产品售价。由于人手紧张,大宗销售都是由业务员甲与客户谈判并签订合同。没有签订合同的购买方提货的销售业务直接
论述铁路货运的发运形式
最新回复
(
0
)