首页
登录
职称英语
If x, y, and d are integers and d is odd, are both x and y divisible by d ?(1)
If x, y, and d are integers and d is odd, are both x and y divisible by d ?(1)
游客
2024-01-13
33
管理
问题
If x, y, and d are integers and d is odd, are both x and y divisible by d ?
(1) x + y is divisible by d.
(2) x - y is divisible by d.
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
C
解析
Determine whether both of the integers x and y are divisible by the odd integer d.
(1) It is given that x + y is divisible by d. It is possible that both x and y are divisible by d, and it is possible that they are not both divisible by d. For example, if x = 4, y = 2, and d= 3, then 4 + 2 is divisible by 3, but neither 4 nor 2 is divisible by 3. On the other hand, if x = 3, y = 6, and d=3, then 3 + 6 is divisible by 3, and both 3 and 6 are divisible by 3; NOT sufficient.
(2) It is given that x - y is divisible by d. It is possible that both x and y are divisible by d, and it is possible that they are not both divisible by d. For example, if x = 4, y = -2, and d= 3, then 4 - (-2) is divisible by 3, but neither 4 nor -2 is divisible by 3. On the other hand, if x = 3, y = -6, and d= 3, then 3 - (-6) is divisible by 3, and both 3 and -6 are divisible by 3;
NOT sufficient.
Taking (1) and (2) together, x + y is divisible by d, so
is an integer and x - y is divisible by d, so
is an integer. It follows that
is an integer and x/d is an integer
because d is odd. Similarly,
is an integer and y/d is an integer because d is odd.
The correct answer is C;
both statements together are sufficient.
转载请注明原文地址:https://tihaiku.com/zcyy/3360109.html
相关试题推荐
Ifthesumoffiveconsecutiveoddintegersis5,whichofthefollowingcouldb
Ifxandyareoddintegers,whichofthefollowingmustalwaysbeanon-integer
Ifx,y,andzarepositiveintegersandx2=y2+z2,whichofthefollowingmustb
Ifx,y,andzarepositiveintegers,and4x=5y=6z,thentheleastpossiblevalu
Ifaandbareoddintegers,whichofthefollowingisaneveninteger?A、a(b-4)
Whatisthesmallestpossiblecommonmultipleoftwointegerswhicharebothgre
Themedianoffivedifferentpositiveintegersis12,whichofthefollowingis
Whatisthetotalnumberofdifferent5-digitintegersthatcontainallofthed
Howmanyintegersbetween100and150,inclusive,canbeevenlydividedbyneith
Forallintegersaandb,theoperation@isdefinedasa@b=(-a+b)(b+a).Ifa=2an
随机试题
Afterabusydayofworkandplay,thebodyneedstorest.Sleepisnecessary
WherewasthemeetingtoplanHaiti’srecoveryheld?[br][originaltext]The
某市民政局局长在出差前交代办公室职员小王,在国庆节前下发开展安全生产检查的通知,
患者因反复突然意识丧失、全身对称性抽搐被诊断为癫痫,为确诊最重要的检查是(
李某购买了其亲戚家的一处不动产。按照有关规定,李某应到当地房地产管理部门办理(
下列属于消防安全管理的技术方法有()。A.法律方法 B.事件树分析法 C.
对未来现金流量以恰当的折现率进行折现后的价值,考虑货币时间价值因素的一种计量属性
(2020年真题)甲服装厂为增值税一般纳税人,2019年10月将100
某建设项目发生变动。根据《关于印发〈污染影响类建设项目重大变动清单(试行)〉的通
关于招标投标投诉的说法,正确的有( )A.投诉应当有明确的请求和必要的证明材料
最新回复
(
0
)