首页
登录
职称英语
Which of the following describes the set of all possible values of the positive
Which of the following describes the set of all possible values of the positive
游客
2025-02-27
10
管理
问题
Which of the following describes the set of all possible values of the positive integer k such that,for each positive odd integer n,the value of n/k is midway between consecutive integers?
选项
A、All positive integers greater than 2
B、All prime numbers
C、All positive even integers
D、All even prime numbers
E、All positive even multiples of 5
答案
D
解析
The logical complexities involved in this question are lessened by testing individual values of k.
Does k = 1 satisfy the condition? NO. If n = 1, then n/k = 1/1 = 1 is not midway between consecutive integers.
Does k = 2 satisfy the condition? YES. For each positive odd integer n, the value of n/k = n/2 is an
odd integer divided by 2, and hence is midway between consecutive integers.
Does k = 3 satisfy the condition? NO. If n = 1, then n/k = 1/3 is not midway between consecutive integers.
It is easy to see that no other positive integer satisfies the condition, by considering the value of n/k when n = 1. Therefore, 2 is the only positive integer value of k that satisfies the condition.
The correct answer is D.
转载请注明原文地址:https://tihaiku.com/zcyy/3974612.html
相关试题推荐
Ifs/t=2,thentheValueofwhichofthefollowingcanbedetermined?[img]2022m1
Whichofthefollowingdescribesthesetofallpossiblevaluesofthepositive
Let’sbethesetofallpositiveintegershavingatmost4digitsandsuchthat
Thedifference942—249isapositivemultipleof7.Ifa,b,andcarenonzerodi
IfWhitneywrotethedecimalrepresentationsforthefirst300positiveinteger
Howmanypositiveintegersnhavethepropertythatboth3nandn/3are4-digit
Themedianof21differentintegersis17.Whichofthefollowingistheleastp
Ifx,yarepositiveintegers,isxydivisibleby4?(1)y+2isdivisibleby4.(
Ifx,yandzaredifferentpositiveintegerslessthan10,whatisthegreatest
Whichofthefollowingcouldbetheremainderwhen287isdividedby3?A、0B、1C
随机试题
Insomelanguageslike______,pitchvariationsaremeaningdistinctive.Therefor
[originaltext]M:Honey,thebasketballgameisabouttostart.Andcouldyoubr
运输平均成本定价理论
回答隧道报警与诱导设施的提问。(4)隧道报警与诱导设施检验评定的其他实测项目有警
普鲁卡因一般不用于()A.传导麻醉 B.蛛网膜下腔麻醉 C.表面麻醉
患者男,53岁,消瘦、乏力5个月。患者5个月前无明显诱因出现乏力,自觉体重减轻,
审计人员实地检查有形资产可以确定()。A.有形资产的所有权 B.有形资产是否真
现在很多追星一族.把明星当作自己的偶像,除了服装打扮追求一样,甚至思想和行为也试
下列关于《诗经》的表述,不正确的是()。A、我国古代第一部诗歌总集 B、作品在
比较资本资产定价模型(CAPM)和套利定价模型(APT)对风险来源的定义,以下说
最新回复
(
0
)