首页
登录
职称英语
What is the number of integers that are common to both set S and set T? (1) The
What is the number of integers that are common to both set S and set T? (1) The
游客
2024-01-13
64
管理
问题
What is the number of integers that are common to both set S and set T?
(1) The number of integers in S is 7,and the number of integers in T is 6.
(2) U is the set of integers that are in S only or in T only or in both,and the number of integers in U is 10.
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
In standard notation, S ∩ T and S ∪ T represent the intersection and union, respectively, of sets S and T, and |S| represents the number of elements in a set S. Determine | S ∩ T|.
(1) It is given that | S| = 7 and | T |= 6. If, for example, S = {1,2,3,4,5,6,7} and T= {1,2,3,4,5,6},then | S ∩T |= 6. However, if S = {1,2,3,4,5,6,7,} and T= {11,12, 13,14,15,16}, then |S∩T| = 0; NOT sufficient.
(2) It is given that | S ∪ T| = 10. If, for example, S = {1,2,3,4,5,6,7} and T= {1,2,3,8,9, 10}, then S∪T = {1,2,S,4,5,6,7,8,9, 10},| S∪T | = 10,and| S∩T | = 3. However, if 5 = {1,2,3,4,5,6,7} and T= {11,12,13}, then S∪T = {1,2,3, 4,5,6,7,11,12,13}, |S∪T|=10, and |S∩T| = 0; NOT sufficient.
Taking (1) and (2) together along with the general addition rule for two sets A and B (A∪B| = |A| + |B| - |A∩B|) applied to sets S and T gives 10 = 7 + 6-|5∩T|, from which | S ∩ T| can be determined.
The correct answer is C;
both statements together are sufficient.
转载请注明原文地址:https://tihaiku.com/zcyy/3360066.html
相关试题推荐
Iaskedthesoldierwhathewasin______life.A、ordinaryB、dailyC、commonD、civil
Normallyastudentmustattendanumberofcoursesinordertograduate,and
Normallyastudentmustattendanumberofcoursesinordertograduate,and
Normallyastudentmustattendanumberofcoursesinordertograduate,and
Staffhavebeenholdinganumberof_________toraisemoneyforcharity.A、events
Agoodwriteris________whocanexpressthecommonplaceinanuncommonway.A、tha
Thenumberoftheemployeesinourcompanyis________thatintheirs.A、twiceasl
Givemeyourtelephonenumber,________Ineedyourhelp.A、whetherB、unlessC、ore
Thenumberofmembersintheclub________totwohundred.A、werelimitedB、limits
Iffandgaredistinctprimenumberslessthan10,whichofthefollowingcanno
随机试题
Iamaveryluckygirlandmyfamilyisthenicestintheworld.Mummyand
PartⅡReadingComprehension(SkimmingandScanning)Directions:Inthispart,y
Completeeachsentencewiththecorrectending,A—I,below.Writethecorrectle
Whentwopeoplearetalkingtoeachother,theytendtostandaspecificdis
下列物质中与乙醇互为同系物的是( )。
疫苗批发企业的购销记录应保存的期限为超过疫苗有效期后A.1年 B.3年 C.
男,4岁。长期偏食。近一月面色渐苍白,自诉全身无力。体检:肝肋下4cm,脾肋下1
运动四要素为:类型、强度、持续时间和频率。( )
某企业每增加500万的销售额,需要增加的总体人数人员为10人,预计1年后销售额增
不同的课程内容应采取不同的培训方法,比如态度培训,应以()方法为主。A:讨论
最新回复
(
0
)