首页
登录
职称英语
If x, y, and z are positive integers and 2x=3y=5z=7w, then the least possible va
If x, y, and z are positive integers and 2x=3y=5z=7w, then the least possible va
游客
2025-02-27
41
管理
问题
If x, y, and z are positive integers and 2x=3y=5z=7w, then the least possible value of x+y+z+w is
选项
A、70
B、42
C、105
D、247
E、30
答案
D
解析
要求x+y+z+w的最小值,必须每一项都取最小值。对于x来说,2x=3y=5z=7w,那么x必然具有因子3,5,7,因此x的最小值为3×5×7=105;同理y的最小值为2×5×7=70,z的最小值为2×3×7=42,w的最小值为2×3×5=30,所以x+y+z+w的最小值为105+70+42+30=247。正确答案为D。
转载请注明原文地址:https://tihaiku.com/zcyy/3974510.html
相关试题推荐
Therearefivepositivenumbersn+2,n+1,n-2,nandn+9,whichofthefollowing
(Thispassagewaswrittenin1984.)Itisnowpossibletoheararecordingo
SinceMayorDrabblealwaysrepaysherpoliticaldebtsassoonaspossible,shew
IntestsforPironoma,aseriousdisease,afalsepositiveresultindicatesthat
Therearefundamentallytwopossiblechangesinaneconomythatwilleachcause
ItispossiblethatNativeAmericansoriginallyhavemigratedtotheWesternHem
Therearefundamentallytwopossiblechangesinaneconomythatwilleachcause
Inanyfieldofendeavor,itisimpossibletomakeasignificantcontributionwi
Itisnolongerpossibleforasocietytoregardanylivingmanorwomanasahe
TheproductoftwoconsecutivepositiveintegersCANNOTbeA、aprimenumberB、div
随机试题
Towardstheendof"Thinking,FastandSlow",DanielKahnemanlamentsthath
Livingisrisky.Crossingtheroad,drivingacar,flying,swallowinganasp
Teachingtodaydemandsmorethanjustcaringaboutchildrenandknowingone’
MOOCsAreMovingForward1.MassiveOpenOnlineCourses(MOOCs)■Cours
圆锥破碎机的最大给料粒度一般为给料口的( )倍。A.0365 B.0.75
下列关于资产管理计划应当终止的情形,正确的有(). I.发生资产管理合同约定的
下列各项中,不符合道德要求的是A:尽量为患者选择安全有效的药物 B:在医疗过程
材料: 植树节前的一个星期天,张老师带领班级学生在山上举行了一次植树活动,在山
有人说新文化运动是辛亥革命在思想文化领域的继续,是对辛亥革命的“补课”。其含义主
右心衰最有意义的表现( )。A.颈静脉怒张 B.双下肢水肿 C.肝颈静脉回
最新回复
(
0
)