首页
登录
职称英语
What is the total number of integers between 100 and 200 that are divisible by 3
What is the total number of integers between 100 and 200 that are divisible by 3
游客
2025-02-23
12
管理
问题
What is the total number of integers between 100 and 200 that are divisible by 3?
选项
A、33
B、32
C、31
D、30
E、29
答案
A
解析
对于区间[a,b]中有多少个数能够被数n整除,计算方法如下:
第一步:把b往小里凑。找到最近的n的倍数,记为r;
比如例题中6为200,那么往小里凑,找到最近的3的倍数为198。
第二步:把a往大里凑,找到最近的n的倍数。记为s;
比如例题中a为100,那么往大里凑,找到最近的3的倍数为102。
第三步:区间[a,b]中有能够被数n整除的个数即为(r-s)/n+1。
比如例题中能够被3整除的个数为:(198-102)/3+1=33。
正确答案为A。
转载请注明原文地址:https://tihaiku.com/zcyy/3969525.html
相关试题推荐
Bobhas40coinsconsistingonlyofdimesandquarters.Ifthenumberofdimesi
Howmany"+"addedtotheninenumbersbelowcanmaketheresult99?(Adjacentn
Whatisthetotalnumberofintegersbetween100and200thataredivisibleby3
Theproductofapositiveintegeraand1080isasquarenumber.Whatisthelea
QuantityA:pandqaretwoconsecutivepositiveintegersTheremainderwhenthe
QuantityA:thestandarddeviationoftheoddnumbersbetween1and19inclusive
QuantityA:kisanintegerbetween1and100,inclusivewhatisprobabilitytha
Whatisthetotalnumberofintegersbetween100and300thataredivisibleby
Ifaandbareintegersanda-b=8,then(a+b)CANNOTbeA、0B、lessthan6C、greate
Onaroadthereisatreeevery46meters.Ifthetreesarenumberedconsecutive
随机试题
Mostpeoplepicturesharks【C1】______huge,powerful,frightening【C2】______rea
QualityAssuranceatAllStagesWerecognizethatth
TheplaywrightDavidHenryHwanghasbeeninhighdemandinrecentyears—not
DoctorsinBritainarewarningofanobesity(肥胖症)timebomb,whenchildren
直接导致“魔弹”被否定的理论是()A.有限效果论 B.新的强效力论 C.适
某液化石油气库建于1998年,位于某县,临江而设,交通便利,环境较好。该石油气库
关于自身免疫和自身免疫病的叙述错误的是A.机体对自身抗原产生免疫应答都会产生不利
J113、查找220V直流系统接地使用表计的内阻应()。(A)不小于20
政府采购的内容包括货物、工程和( )。A.原材料 B.服务 C.设备 D
根据《建设工程施工合同示范文本》,当出现专用合同条款规定的异常恶劣气候导致工期延
最新回复
(
0
)