When the even integer n is divided by 7, the remainder is 5, then what is the remainder when n is divided by 14?

admin2021-10-21 23

问题 When the even integer n is divided by 7, the remainder is 5, then what is the remainder when n is divided by 14?

选项 A、5
B、10
C、6
D、12
E、it can not be calculated according to the information above

答案D

解析 n被7除余数为5，那么n可以表示为n=7k+5，由于n是偶数，因此k必然为奇数，假设k=2m+1，那么n可以写为n=14m+12，所以n被14除余数为12。有些考生认为是不能够计算。其实是忽略了n是偶数这一个环节。因为在n为奇数的情况下n=7k+5，那么k必然为偶数，7k必能够被14整除，那么7k+5除以14，余数为5。

转载请注明原文地址:https://kaotiyun.com/show/R3tO777K

本试题收录于： GMAT QUANTITATIVE题库GMAT分类

GMAT QUANTITATIVE

GMAT

相关试题推荐

M:Mrs.Tyler,thereissomethingI’vebeenwonderingabout.W:Whatisit?M:Somepeoplesaythatwomen’sworkisinthehous
Theonethingallchildrenhaveincommonistheirrights.Everychildhastherighttosurviveandthrive,tobeeducated,tob
Birth,marriageanddeath:thesearethegreatesteventsinhumanlife.Manythings,goodandbad,canhappentousinourlives
Taxidriver:Hereyouare,sir.GrandHotel.Passenger:Howmuchisit?Taxidriver:Twodollarsandfiftycents.Passenger:___
Ahighercrimerateexistsincities______alargepercentageofunemployment.
SpeakerA:IhaveanadmirationforChineseKungFu.BruceLee,JetLiandJackieChanareverypopularinmoviescircle.Speake
Agoodmodernnewspaperisanextraordinarypieceofreading.Itisremarkablefirstforwhatitcontains:therangeofnewsfro
36Ifxisanintegerandy=4x+3,whichofthefollowingcannotbeadivisorofy?
ListA,BandCmeansthelistofmultiplesofprimenumbers2,3,and5respectively,howmanyintegersbetween1and100,incl
Therearefivecardsmarked1,2,3,4,5inabox.Ifthesumoftwocardswhicharetakenfromthosecardsrandomly(noreplac

随机试题

哪些是腹痛的病因
有“曲状元”之称的元代散曲家是()
合适的饮水中氟含量为
高频开关电源模块型充电装置的波纹系数应不大于()。
某工程在混凝土施工过程中，由于称重设备发生故障，导致工人向混凝土中掺入超量聚羧酸盐系高效减水剂，导致质量事故。该事故应判定为()。
港口工程施工安全风险评估分为()环节。
ATTENTIONPARKVISITORSAsofJune1st,2006,theTrentonCountyDepartmentofParkServicesisinstitutingthefollowingr
公安机关依法对负有治安责任的社会团体、组织及其个人实施治安行政管理的一种权力属于(　　)。
过坐标原点作曲线y=ex的切线，该切线与曲线y=ex以及x轴围成的向x轴负向无限伸展的平面图形记为D．求D的面积A；
数据仓库中存放的数据是为了适应数据的______处理要求而集成起来的。

最新回复(0)

When the even integer n is divided by 7, the remainder is 5, then what is the remainder when n is divided by 14?

GMAT QUANTITATIVE

GMAT

M:Mrs.Tyler,thereissomethingI’vebeenwonderingabout.W:Whatisit?M:Somepeoplesaythatwomen’sworkisinthehous

Theonethingallchildrenhaveincommonistheirrights.Everychildhastherighttosurviveandthrive,tobeeducated,tob

Birth,marriageanddeath:thesearethegreatesteventsinhumanlife.Manythings,goodandbad,canhappentousinourlives

Taxidriver:Hereyouare,sir.GrandHotel.Passenger:Howmuchisit?Taxidriver:Twodollarsandfiftycents.Passenger:___

Ahighercrimerateexistsincities______alargepercentageofunemployment.

SpeakerA:IhaveanadmirationforChineseKungFu.BruceLee,JetLiandJackieChanareverypopularinmoviescircle.Speake

Agoodmodernnewspaperisanextraordinarypieceofreading.Itisremarkablefirstforwhatitcontains:therangeofnewsfro

36Ifxisanintegerandy=4x+3,whichofthefollowingcannotbeadivisorofy?

ListA,BandCmeansthelistofmultiplesofprimenumbers2,3,and5respectively,howmanyintegersbetween1and100,incl

Therearefivecardsmarked1,2,3,4,5inabox.Ifthesumoftwocardswhicharetakenfromthosecardsrandomly(noreplac

哪些是腹痛的病因

有“曲状元”之称的元代散曲家是()

合适的饮水中氟含量为

高频开关电源模块型充电装置的波纹系数应不大于()。

某工程在混凝土施工过程中，由于称重设备发生故障，导致工人向混凝土中掺入超量聚羧酸盐系高效减水剂，导致质量事故。该事故应判定为()。

港口工程施工安全风险评估分为()环节。

ATTENTIONPARKVISITORSAsofJune1st,2006,theTrentonCountyDepartmentofParkServicesisinstitutingthefollowingr

公安机关依法对负有治安责任的社会团体、组织及其个人实施治安行政管理的一种权力属于( )。

过坐标原点作曲线y=ex的切线，该切线与曲线y=ex以及x轴围成的向x轴负向无限伸展的平面图形记为D．求D的面积A；

数据仓库中存放的数据是为了适应数据的______处理要求而集成起来的。

公安机关依法对负有治安责任的社会团体、组织及其个人实施治安行政管理的一种权力属于(　　)。