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
2025-02-27
36
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/3974671.html
相关试题推荐
Thesquarerootof800isbetweenwhichofthefollowingintegers?A、21and25B、
Whichofthefollowingcannotbethemedianoffivepositiveintegersa,b,c,d
Thesquarerootof636isbetweenwhichsetofintegers?A、24and25B、25and26
Ifx,y,andzarepositiveintegers,and4x=5y=6z,thentheleastpossiblevalu
Ifaandbareoddintegers,whichofthefollowingisaneveninteger?A、a(b-4)
Whatisthegreatestpossiblecommondivisoroftwodifferentpositiveintegers
Whatisthetotalnumberofdifferent5-digitintegersthatcontainallofthed
Howmanypositive4-digitintegersbegin(ontheleft)withallevendigitande
Forallintegersaandb,theoperation@isdefinedasa@b=(-a+b)(b+a).Ifa=2an
Thedifferenceofthereciprocalsoftwoconsecutivepositiveintegerscouldbe?
随机试题
【B1】[br]【B5】A、joinB、belongtoC、leaveB本句意为“今天那些大部分的‘破釜沉舟’的人并不属于军队”。
Thelawisgreatmassofrules,showingwhenandhow’faramanis【S1】_____
[img]2018m9s/ct_etoefz_etoeflistz_201808_0002[/img][br]Accordingtotheprofes
Theamazingsuccessofmanasa(1)_____istheresultoftheevolutionaryde
孕早期由于呕吐完全不能进食时,静脉给予葡萄糖是为了( )。A.防止酮体对胎儿早
足月妊娠,静滴缩宫素引产过程中,发生强直性子宫收缩,处理错误的是A.吸氧,立即停
一儿童在正常进食过程中食用了大量腌制蔬菜,半小时后出现头痛、恶心、呕吐,指甲与粘
舌体胖嫩,舌色淡白湿润多为A、阳虚寒证 B、气血两亏 C、寒凝血瘀 D、阳
关于国外建筑安装工程费用中的开办费,下列说法正确的是()。A.开办费中的项目可以
关于骨骼肌兴奋-收缩耦联,哪项是错误的A、电兴奋通过横管系统传向肌细胞深处 B
最新回复
(
0
)