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
The integer v is greater than 1. If v is the square of an integer, which of the following numbers must also be the square of an
The integer v is greater than 1. If v is the square of an integer, which of the following numbers must also be the square of an
admin
2014-08-13
77
问题
The integer v is greater than 1. If v is the square of an integer, which of the following numbers must also be the square of an integer?
Indicate
all
such numbers.
选项
A、
B、
C、
答案
A,B
解析
If v is the square of an integer, then
is an integer. You can use this fact, together with the fact that the product and the sum of integers are also integers, to examine the first two choices.
Choice A: The positive square root of 81 v is 9
, which is an integer. So 81v is the square of an integer.
Choice B: 25v +10
+ 1 =(5
+ l)
2
and 5
+ 1 is an integer. So 25v + 10
+ 1 is the square of an integer.
Choice C: Since there is no obvious way to factor the given expression, you may suspect that it is not the square of an integer. To show that a given statement is not true, it is sufficient to find one counterexample. In this case, you need to find one value of v such that v is the square of an integer but 4v
2
+ 4
+ 1 is not the square of an integer. If v = 4, then 4v
2
+ 4
+ 1 = 64 + 8 + 1 = 73, which is not the square of an integer. This proves that 4v
2
+ 4
+ 1 does not have to be the square of an integer.
The correct answer consists of Choices A and B.
转载请注明原文地址:https://jikaoti.com/ti/DhdYFFFM
本试题收录于:
GRE QUANTITATIVE题库GRE分类
0
GRE QUANTITATIVE
GRE
相关试题推荐
假如你认为生活就是吃喝玩乐,悠闲自在,那么你很快就会发现自己想错了。
Theresultshavebeenencouraging:moresleep,increasedattendance,bettergradesandfewerdrivingaccidents.
MarleyDiaslovesnothingmorethangettinglostinabook.Butthebooksshewasreadingatschoolwerestartingtogetonher
Conversationbeginsalmostthemomentwecomeintocontactwithanotherandcontinuesthroughouttheday【B1】______theaidof
WehavequiteabitofinformationaboutancientEgyptianmedicine.Doctors’instructionshavebeenfoundtotellus【56】theydid
AsTheplanecircledovertheairport,everyonesensedthatsomethingwaswrong.Theplanewasmovingunsteadilythroughtheair
Therearemanyolderpeopleintheworldandtherewillbemanymore.Alittle-knownfactisthatover60percentoftheolderp
Withtheconstantchangeofconditions,theoutcomeisnotalways______.
Inarightisoscelestriangle,thelengthsofthetwononhypotenusesidesaredesignateda.Whatistheareaofthetrianglein
MachinesXandYrunatdifferentconstantrates,andmachineXcancompleteacertainjobin9hours.MachineXworkedonthejo
随机试题
下列说法错误的是
Therearemanyfreeseats______themeetingroom.
按上巨虚穴有显著压痛者多为
黄山观赏云海和日出的最佳地点在()。
为避免在某些问题上出现误会和不协调,全陪与地陪应及时交流信息,主动争取对方的配合,以便形成接待合力。。()
根据下列表格资料回答问题。注:“其他行业合计”为用电比重不超过2%的各行业的合计。下列说法中,不正确的是()。Ⅰ.2009年上半年,黑色金属冶炼和压延的用电增长速度比有色金属冶炼和压延约快50%。Ⅱ.2008年上半年,
A、 B、 C、 D、 C
某市繁星商厦服装部在前一阵疲软的服装市场中打了一个反季节销售的胜仗。据统计,繁星商厦皮服的销售额在6、7、8三个月连续成倍数增长,6月527件,7月1269件,8月3218件。市有关主管部门希望在今年冬天向全市各大商场推广这种反季节销售的策略,力争今年11
【B1】【B6】
A、10.B、9.C、12.D、8.A题目询问男士多大时开始对集邮感兴趣。对话刚开始便一问一答给出此题的答案,第二句“…whenIwasabouttenyearsold”即得出答案为选项A(10)。
最新回复
(
0
)