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
2025-02-27
43
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/3974628.html
相关试题推荐
WhatisthenumberofintegersthatarecommontobothsetSandsetT?(1)The
Thecardinalityofafinitesetisthenumberofelementsintheset.Whatisthe
Ifn=p2andpisaprimenumbergreaterthan5,whatistheunitsdigitofn2?A、1
Fiveintegersbetween10and99,inclusive,aretobeformedbyusingeachofthe
An“Armstrongnumber”isann-digitnumberthatisequaltothesumofthenthp
Ifx<y<zandy-x>5.wherexisanevenintegerandyandzareoddintegers,what
Bobhas40coinsconsistingonlyofdimesandquarters.Ifthenumberofdimesi
Howmanypositiveintegerslessthan100areNOTequaltosquaresofintegers?A、
Theproductofapositiveintegeraand1080isasquarenumber.Whatisthelea
Ifx,yandzaredifferentpositiveintegerslessthan10,whatisthegreatest
随机试题
Whatisthenewsmainlyabout?[originaltext]Theleadingall-timerunscore
A-----coursestakenJ-----jobobjectiveB-----currentaddress
ShoppingandtheInternet,MakingItClickA)TerryLundgrenandKevinR
在饭店客房价格类型中,“白天租用价”属于( )。A.公布价格 B.特别价格
下列关于境外上市公司以及在境内发行外资股的公司发行股票时的会计处理中,不正确的有
一般来说,预期投资回报率的设定与下列哪些因素相关?()A.客户的年龄
C或C标记尿素呼吸试验可用于检测A.霍乱弧菌B.幽门螺杆菌C.空肠弯曲菌D.副溶
签发审计报告前的审计工作底稿的复核是对整套工作底稿进行的()。 A.真实性复
下列交易或事项中,产生应纳税暂时性差异的有( )。 A.企业购入固定资产,会计采
成人失血1000~1300ml(20%~25%),首先考虑输入A.全血 B.血
最新回复
(
0
)