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
Sprinklers are being installed to water a lawn. Each sprinkler waters in a circle. Can the lawn be watered completely by 4 insta
Sprinklers are being installed to water a lawn. Each sprinkler waters in a circle. Can the lawn be watered completely by 4 insta
admin
2022-10-18
47
问题
Sprinklers are being installed to water a lawn. Each sprinkler waters in a circle. Can the lawn be watered completely by 4 installed sprinklers?
(1) The lawn is rectangular and its area is 32 square yards.
(2) Each sprinkler can completely water a circular area of lawn with a maximum radius of 2 yards.
选项
A、Statement (1) ALONE is sufficient, but statement (2) alone is not sufficient.
B、Statement (2) ALONE is sufficient, but statement (1) alone is not sufficient.
C、BOTH statements TOGETHER are sufficient, but NEITHER statement ALONE is sufficient.
D、EACH statement ALONE is sufficient.
E、Statements (1) and (2) TOGETHER are NOT sufficient.
答案
E
解析
(1) No information is given about the area of the region that can be completely covered by four installed sprinklers; NOT sufficient.
(2) No information is given about the area or the shape of the lawn; NOT sufficient.
Given (1) and (2), if the length of the rectangular lawn is sufficiently large, for example if the length is 32 yards and the width is 1 yard, then it is clear that the four sprinklers cannot completely water the lawn. However, if the lawn is in the shape of a square, then it is possible that four sprinklers can completely water the lawn. To see this, we first note that the side length of the square lawn is
yards. To assist with the mathematical details, the figure below shows the square lawn positioned in the standard (x,y) coordinate plane so that the vertices of the lawn are located at (0,0),
, and
.The two diagonals of the square, each of length 8, are shown as dashed segments, and the four sprinklers are at the four marked points located at the midpoints of the left and right halves of the diagonals. For example, one of the sprinklers is located at the point
. Using the distance formula, it is straightforward to show that a circle centered at
with radius 2 passes through each of the points (0,0),
.Therefore, the interior of this circle covers the lower left square portion of the square lawn—that is, the square portion having vertices (0,0),
. Hence, the four sprinklers together, when located as described above, can completely water the square lawn. Therefore, it is possible that the lawn cannot be completely watered by the four sprinklers, and it is possible that the lawn can be completely watered by the four sprinklers.
The correct answer is E;
both statements together are still not sufficient.
转载请注明原文地址:https://kaotiyun.com/show/wttO777K
本试题收录于:
GMAT QUANTITATIVE题库GMAT分类
0
GMAT QUANTITATIVE
GMAT
相关试题推荐
Notlongago,Ihadmyfirston-linechat.Ithoughtitwouldbe【C1】______becauseIhaveheardsomanypeopledescribeitintha
Man:Okay,Mr.Taylor,let’sgoaheadandbegin.Firstofall,tellmeaboutyourlastjob.Mr.Taylor:Well,asstatedonmyre
Roger:So,howisyournewroommate?Martha:【D1】______Roger:Whathappened?Martha:She’salwaysmakingloudnoisesatmidnig
Atfirsttheinstituterefusedtopurchasethetelescope,butthisdecisionwas()revised.
Manypeoplesurveyedsaidtheyfearedtheywouldenduppayingmoreforproducts.
Whensheheardthebadnews,she______completely.
Computertechnologyisadvancingsofastthatoldhardwarequicklybecomescompletelyobsolete.Theelectronicwaster(e-waste)
TheChinesehaveusedamethodcalledacupuncture(针炙)toperformoperationsforabout4,000yearswithoutputtingthepatientto
ItusedtodistresslargenumbersofEasternpeopleswholivedmainlyonrice.
Ourpreferencesforcertaincolorsare______accordingtothepassage.WhichofthefollowingstatementsisTRUEaccordingto
随机试题
患者,男性,46岁,因“眼睑水肿12年,恶心纳差半年,加重1周”入院。12年来患者常于晨起出现双侧眼睑水肿,未在意。半年来出现恶心、纳差,自行服用胃药无效。1周前受凉后咳嗽、咳白痰,伴水肿加重、乏力,尿量减少,每日尿量约300ml。既往患“慢性肾炎”10
______fromthe18thfloorwhenhesawthepolicecomingnear.
患者,男,45岁,素日咳嗽,每遇天冷加重。今值隆冬,昨日忽又咳嗽频作,痰多清稀,微喘,头痛身疼,无汗,恶寒发热,微觉烦躁,口渴,舌苔白,脉浮弦,宜选
A.CMC-NaB.L-HPCC.PVPD.PVAE.HPC
不仅适用于管道保温,同时也适用于阀门、管件、石油化工设备和炉窑的保温,具有保温、保冷、隔声、防火等作用的绝热结构形式是()。
关于犹豫期条款说法正确的是:()
企业自行建造固定资产,应按建造该项资产竣工决算前所发生的必要支出,作为固定资产的成本。()
针对抽样风险和非抽样风险,以下说法中,错误的是()。
简述无氧耐力的生理学基础及其训练方法。
Inthefaceofunexpecteddifficulties,hedemonstratedatalentforquick,______action.(2010-70)
最新回复
(
0
)