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
If x, y, and z are positive integers and x2=y2+z2, which of the following must be true?Ⅰ.x>z Ⅱ.x=y+z Ⅲ. y2+z2 is a positive inte
If x, y, and z are positive integers and x2=y2+z2, which of the following must be true?Ⅰ.x>z Ⅱ.x=y+z Ⅲ. y2+z2 is a positive inte
admin
2019-02-01
43
问题
If x, y, and z are positive integers and x
2
=y
2
+z
2
, which of the following must be true?Ⅰ.x>z Ⅱ.x=y+z Ⅲ. y
2
+z
2
is a positive integer
选项
A、Ⅰ only
B、Ⅱ only
C、Ⅲ only
D、Ⅰ and Ⅱ only
E、Ⅰ and Ⅲ only
答案
E
解析
Statement Ⅰ must be true, because if all three variables are positive integers and x2=z2 plus the square of another positive integer, then x has to be greater than z;, plug in numbers to verify. Ⅲ must be true because the square of a positive integer is always a positive integer, and y2+z2 is equal to the square of a positive integer (i.e.=x2). Ⅱ does not have to be true because if you square both sides of x=y+z, you get x
2
=y
2
+2yz+z
2
, which does not agree with the original statement.
转载请注明原文地址:https://kaotiyun.com/show/URtO777K
本试题收录于:
GMAT QUANTITATIVE题库GMAT分类
0
GMAT QUANTITATIVE
GMAT
相关试题推荐
Jenny:Hey,Rosy,IheardthatyouaregoingtoTheMalltoday.Rosy:【D1】______Jenny:Yes.PleasebuymethebagthatIshowed
Thereportermanagedtogetintothefakecigarettesmillby______himselfasaworker.
Theanimals,highlysensitivetopollution,can______monitorsofwaterquality.
By2020,theuniversity______10,000postgraduates.
TheRepublicPartyhadonlywona______victorybyelevenvotesintheelection.
Itwasnotmuchfuntotravelononeoftheoldsailingships.Lifewashardforbothpassengersandcrew.17thcenturysailing
LivinginthecentralAmericandeserthasitsproblems,______obtainingwaterisnottheleast.
Scientistssaidtheyhavefoundevidenceofagiantplanetfaroutinoursolarsystem.Inastatement,theCaliforniaInstitute
SpeakerA:IhaveanadmirationforChineseKungFu.BruceLee,JetLiandJackieChanareverypopularinmoviescircle.Speake
Allthefollowingcasesareon-the-jobsmokingexceptthat______.Accordingtothepassage,on-the-jobsmokingaffectsanemplo
随机试题
简述影响资本周转速度的因素。
关于重症新生儿硬肿症复温的有关说法正确的是
唐某杀人一案由人民检察院提起了公诉,某市中级人民法院经审查后,决定开庭审判,在审判组织的组成上,下列各种做法中正确的是:
热力管道的二级管网是指()。
以下各项中,不属于原始凭证基本内容的是()。
标志着中国进入航天时代的事件是()。
农业部修订《绿色食品标志管理办法》说明国家通过行政,把关绿色食品入市。
20世纪30年代末,苏联中小学教育改革主题是()。
决策支持系统是基于【】应用来支持企业不同层次,主要是高层决策需求的计算机信息系统。
下列叙述中正确的是
最新回复
(
0
)