Explore topic-wise MCQs in Maharashtra CET.

This section includes 108 Mcqs, each offering curated multiple-choice questions to sharpen your Maharashtra CET knowledge and support exam preparation. Choose a topic below to get started.

51.

If the sets A and B are defined as A = {(x, y)|y = 1 / x, 0 ≠ x ∈ R}, B = {(x, y)|y = -x ∈ R} then

A. A ∩ B = ϕ
B. A ∩ B = B
C. A ∩ B = A
D. None of these
Answer» B. A ∩ B = B
Discussion
52.

If the number of elements belonging to neither X, nor Y, nor Z is equal to p, then what is the number of elements in the complement of X?

A. p + b + 60
B. p + b + 40
C. p + a + 60
D. p + a + 40
Answer» B. p + b + 40
Discussion
53.

A set containing n elements, has exactly ..... subsets.

A. n2
B. 2n
C. n
D. n + 1
Answer» C. n
Discussion
54.

If A = {x ∈ R : x2 + 6x – 7 < 0} and B = {x ∈ R : x2 + 9x + 14 > 0}, then which of the following is/are correct?1. A ∩ B = {x ∈ R : - 2 < x < 1}2. A \ B = {x ∈ R : - 7 < x < - 2}Select the correct answer using the code given below:

A. 1 only
B. 2 only
C. Both 1 and 2
D. Neither 1 nor 2
Answer» B. 2 only
Discussion
55.

If A = {x ∶ x is a letter in word BELOW}, B = {x ∶ x is a letter in word WOOL} and C = A – B, then the number of subsets of C is

A. 1
B. 2
C. 3
D. 4
Answer» E.
Discussion
56.

If A = {x, y, z}, then the number of subsets in powerset of A is

A. 6
B. 8
C. 7
D. 9
Answer» C. 7
Discussion
57.

Consider the following statements:1. The null set is a subset of every set.2. Every set is a subset of itself.3. If a set has 10 elements, then its power set will have 1024 elements.Which of the above statements are correct?

A. 1 and 2 only
B. 2 and 3 only
C. 1 and 3 only
D. 1, 2 and 3
Answer» E.
Discussion
58.

&nbsp;If&nbsp;the&nbsp;binary&nbsp;operation&nbsp;*&nbsp;is&nbsp;deined&nbsp;on&nbsp;a&nbsp;set&nbsp;of&nbsp;ordered&nbsp;pairs&nbsp;of&nbsp;real&nbsp;numbers&nbsp;as (a,&nbsp;b)&nbsp;*&nbsp;(c,&nbsp;d)&nbsp;=&nbsp;(ad&nbsp;+&nbsp;bc,&nbsp;bd) and&nbsp;is&nbsp;associative,&nbsp;then (1,&nbsp;2)&nbsp;*&nbsp;(3,&nbsp;5)&nbsp;*&nbsp;(3,&nbsp;4)&nbsp;equals

A. (74,40)
B. (32,40)
C. (23,11)
D. (7,11)
Answer» B. (32,40)
Discussion
59.

Some&nbsp;group&nbsp;(G,&nbsp;0)&nbsp;is&nbsp;known&nbsp;to&nbsp;be&nbsp;abelian.&nbsp;Then&nbsp;which&nbsp;one&nbsp;of&nbsp;the&nbsp;following&nbsp;is&nbsp;TRUE&nbsp;for&nbsp;G&nbsp;?

A. g = g-1 for every g ∈ G
B. g = g2 for every g ∈ G
C. (g o h) 2 = g2o h2 for every g,h ∈ G
D. G is of finite order
Answer» D. G is of finite order
Discussion
60.

&nbsp;Let&nbsp;(Z,&nbsp;*)&nbsp;be&nbsp;an&nbsp;algebraic&nbsp;structure,&nbsp;where&nbsp;Z&nbsp;is&nbsp;the&nbsp;set&nbsp;of&nbsp;integers&nbsp;and&nbsp;the&nbsp;operation&nbsp;*&nbsp;is&nbsp;defined&nbsp;by&nbsp;n&nbsp;*&nbsp;m&nbsp;=&nbsp;maximum&nbsp;(n,&nbsp;m).&nbsp;Which&nbsp;of&nbsp;the&nbsp;following&nbsp;statements&nbsp;is&nbsp;TRUE&nbsp;for&nbsp;(Z,&nbsp;*)&nbsp;?

A. (Z, *) is a monoid
B. (Z, *) is an abelian group
C. (Z, *) is a group
D. None of these
Answer» E.
Discussion
61.

&nbsp;&nbsp;Match&nbsp;the&nbsp;following A.&nbsp;Groups&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;I.&nbsp;Associativity B.&nbsp;Semi&nbsp;groups&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;II.&nbsp;Identity C.&nbsp;Monoids&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;III.&nbsp;Commutative D.&nbsp;Abelian&nbsp;Groups&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;IV&nbsp;Left&nbsp;inverse

A. A B C D IV I II III
B. A B C D III I IV II
C. A B C D II III I IV
D. A B C D I II III IV
Answer» B. A B C D III I IV II
Discussion
62.

&nbsp; In&nbsp;the&nbsp;group&nbsp;G&nbsp;=&nbsp;{2,&nbsp;4,&nbsp;6,&nbsp;8)&nbsp;under&nbsp;multiplication&nbsp;modulo&nbsp;10,&nbsp;the&nbsp;identity&nbsp;element&nbsp;is

A. 6
B. 8
C. 4
D. 2
Answer» B. 8
Discussion
63.

Which&nbsp;of&nbsp;the&nbsp;following&nbsp;statements&nbsp;is&nbsp;FALSE&nbsp;?

A. The set of rational numbers is an abelian group under addition
B. The set of rational integers is an abelian group under addition
C. The set of rational numbers form an abelian group under multiplication
D. None of these
Answer» E.
Discussion
64.

&nbsp;The&nbsp;set&nbsp;of&nbsp;all&nbsp;nth&nbsp;roots&nbsp;of&nbsp;unity&nbsp;under&nbsp;multiplication&nbsp;of&nbsp;complex&nbsp;numbers&nbsp;form&nbsp;a/an

A. semi group with identity
B. commutative semigroups with identity
C. group
D. abelian group
Answer» E.
Discussion
65.

&nbsp; Which&nbsp;of&nbsp;the&nbsp;following&nbsp;is&nbsp;TRUE&nbsp;?

A. Set of all rational negative numbers forms a group under multiplication
B. Set of all non-singular matrices forms a group under multiplication
C. Set of all matrices forms a group under multipication
D. Both (b) and (c)
Answer» C. Set of all matrices forms a group under multipication
Discussion
66.

If&nbsp;a,&nbsp;b&nbsp;are&nbsp;positive&nbsp;integers,&nbsp;define&nbsp;a&nbsp;*&nbsp;b&nbsp;=&nbsp;&alpha;&nbsp;&nbsp;where&nbsp;ab&nbsp;=&nbsp;&alpha;&nbsp;(modulo&nbsp;7),&nbsp;with&nbsp;this&nbsp;*&nbsp;operation,&nbsp;then&nbsp;inverse&nbsp;of&nbsp;3&nbsp;in&nbsp;group&nbsp;G&nbsp;(1,&nbsp;2,&nbsp;3,&nbsp;4,&nbsp;5,&nbsp;6)&nbsp;is

A. 3
B. 1
C. 5
D. 4
Answer» D. 4
Discussion
67.

Let&nbsp;A&nbsp;be&nbsp;the&nbsp;set&nbsp;of&nbsp;all&nbsp;non-singular&nbsp;matrices&nbsp;over&nbsp;real&nbsp;numbers&nbsp;and&nbsp;let&nbsp;*&nbsp;be&nbsp;the&nbsp;matrix&nbsp;multiplication&nbsp;operator.&nbsp;Then

A. A is closed under * but < A, * > is not a semi group
B. < A, * > is a semi group but not a monoid
C. < A, * > is a monoid but not a group
D. < A, * > is a group but not an abelian group
Answer» E.
Discussion
68.

Let&nbsp;G&nbsp;denoted&nbsp;the&nbsp;set&nbsp;of&nbsp;all&nbsp;n&nbsp;x&nbsp;n&nbsp;non-singular&nbsp;matrices&nbsp;with&nbsp;rational&nbsp;numbers&nbsp;as&nbsp;entries.&nbsp;Then&nbsp;under&nbsp;multiplication&nbsp;G&nbsp;is&nbsp;a/an

A. subgroup
B. finite abelian group
C. infinite, non abelian group
D. infinite, abelian
Answer» D. infinite, abelian
Discussion
69.

&nbsp;(Z,*)&nbsp;is&nbsp;a&nbsp;group&nbsp;with&nbsp;a*b&nbsp;=&nbsp;a+b+1&nbsp;&forall;&nbsp;a,b&nbsp;&isin;&nbsp;Z.&nbsp;The&nbsp;inverse&nbsp;of&nbsp;a&nbsp;is

A. 0
B. -2
C. a-2
D. -a-2
Answer» E.
Discussion
70.

&nbsp; If&nbsp;(G,&nbsp;.)&nbsp;is&nbsp;a&nbsp;group,&nbsp;such&nbsp;that&nbsp;(ab)2&nbsp;=a2b2&nbsp;&forall;&nbsp;a,&nbsp;b&nbsp;&nbsp;&isin;&nbsp;G,&nbsp;then&nbsp;G&nbsp;is&nbsp;a/an

A. commutative semi group
B. abelian group
C. non-abelian group
D. none of these
Answer» C. non-abelian group
Discussion
71.

In&nbsp;the&nbsp;group&nbsp;(G,&nbsp;.),&nbsp;the&nbsp;value&nbsp;of&nbsp;(a-1&nbsp;b)-1&nbsp;is

A. ab-1
B. b-1a
C. a-1b
D. ba-1
Answer» C. a-1b
Discussion
72.

The&nbsp;set&nbsp;of&nbsp;integers&nbsp;Z&nbsp;with&nbsp;the&nbsp;binary&nbsp;operation&nbsp;&quot;1&quot;&nbsp;defined&nbsp;as&nbsp;a*b&nbsp;=a&nbsp;+b+1&nbsp;for&nbsp;a,&nbsp;b&nbsp;&isin;&nbsp;Z,&nbsp;is&nbsp;a&nbsp;group.&nbsp;The&nbsp;identity&nbsp;element&nbsp;of&nbsp;this&nbsp;group&nbsp;is

A. 0
B. 1
C. -1
D. 12
Answer» D. 12
Discussion
73.

&nbsp;&nbsp;The&nbsp;inverse&nbsp;of&nbsp;-&nbsp;i&nbsp;in&nbsp;the&nbsp;multiplicative&nbsp;group,{1,&nbsp;-&nbsp;1,i,-&nbsp;i&nbsp;}&nbsp;is

A. 1
B. -1
C. i
D. -i
Answer» D. -i
Discussion
74.

&nbsp;If&nbsp;(G,&nbsp;.)&nbsp;is&nbsp;a&nbsp;group&nbsp;such&nbsp;that&nbsp;a2&nbsp;=&nbsp;e,&nbsp;&forall;&nbsp;a&nbsp;&isin;&nbsp;G,&nbsp;then&nbsp;G&nbsp;is

A. semi group
B. abelian group
C. non-abelian group
D. none of these
Answer» C. non-abelian group
Discussion
75.

&nbsp;If&nbsp;*&nbsp;is&nbsp;defined&nbsp;on&nbsp;R*&nbsp;as&nbsp;a&nbsp;*&nbsp;b&nbsp;=&nbsp;(ab/2)&nbsp;then&nbsp;identity&nbsp;element&nbsp;in&nbsp;the&nbsp;group&nbsp;(R*,&nbsp;*)&nbsp;is

A. 1
B. 2
C. 1/2
D. 1/3
Answer» C. 1/2
Discussion
76.

&nbsp;If&nbsp;(G,&nbsp;.)&nbsp;is&nbsp;a&nbsp;group&nbsp;such&nbsp;that&nbsp;(ab)-&nbsp;1&nbsp;=&nbsp;b-1&nbsp;a-1,&nbsp;&forall;&nbsp;a,&nbsp;b&nbsp;&isin;&nbsp;G,&nbsp;then&nbsp;G&nbsp;is&nbsp;a/an

A. commutative semi group
B. abelian group
C. non-abelian group
D. None of these
Answer» C. non-abelian group
Discussion
77.

&nbsp;&nbsp;The&nbsp;set&nbsp;of&nbsp;all&nbsp;real&nbsp;numbers&nbsp;under&nbsp;the&nbsp;usual&nbsp;multiplication&nbsp;operation&nbsp;is&nbsp;not&nbsp;a&nbsp;group&nbsp;since

A. multiplication is not a binary operation
B. multiplication is not associative
C. identity element does not exist
D. zero has no inverse
Answer» E.
Discussion
78.

&nbsp;If&nbsp;f&nbsp;:&nbsp;A&nbsp;---&gt;&nbsp;B&nbsp;is&nbsp;a&nbsp;bijective&nbsp;function,&nbsp;then&nbsp;f&nbsp;-1&nbsp;of&nbsp;f&nbsp;=

A. f o f -1
B. f
C. f -1
D. IA(Identity map of the set A)
Answer» E.
Discussion
79.

&nbsp;Let&nbsp;R&nbsp;be&nbsp;a&nbsp;relation&nbsp;&quot;(x&nbsp;-y)&nbsp;is&nbsp;divisible&nbsp;by&nbsp;m&quot;,&nbsp;where&nbsp;x,&nbsp;y,&nbsp;m&nbsp;are&nbsp;integers&nbsp;and&nbsp;m&nbsp;&gt;&nbsp;1,&nbsp;then&nbsp;R&nbsp;is

A. symmetric but not transitive
B. partial order
C. equivalence relation
D. anti symmetric and not transitive
Answer» D. anti symmetric and not transitive
Discussion
80.

&nbsp;&nbsp; Let&nbsp;Z&nbsp;denote&nbsp;the&nbsp;set&nbsp;of&nbsp;all&nbsp;integers. Define&nbsp;f&nbsp;:&nbsp;Z&nbsp;&mdash;&gt;&nbsp;Z&nbsp;by f(x)&nbsp;=&nbsp;{x&nbsp;/&nbsp;2&nbsp;(x&nbsp;is&nbsp;even) &nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;0&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;(x&nbsp;is&nbsp;odd) then&nbsp;f&nbsp;is

A. onto but not one-one
B. one-one but not onto
C. one-one and onto
D. neither one-one nor-onto
Answer» B. one-one but not onto
Discussion
81.

The&nbsp;set&nbsp;of&nbsp;all&nbsp;Equivalence&nbsp;classes&nbsp;of&nbsp;a&nbsp;set&nbsp;A&nbsp;of&nbsp;cardinality&nbsp;C

A. has the same cardinality as A
B. forms a partition of A
C. is of cardinality 2C
D. is of cardinality C2
Answer» C. is of cardinality 2C
Discussion
82.

&nbsp;Let&nbsp;n(A)&nbsp;denotes&nbsp;the&nbsp;number&nbsp;of&nbsp;elements&nbsp;in&nbsp;set&nbsp;A.&nbsp;If&nbsp;n(A)&nbsp;=p&nbsp;and&nbsp;n(B)&nbsp;=&nbsp;q,&nbsp;then&nbsp;how&nbsp;many&nbsp;ordered&nbsp;pairs&nbsp;(a,&nbsp;b)&nbsp;are&nbsp;there&nbsp;with&nbsp;a&nbsp;&isin;&nbsp;A&nbsp;and&nbsp;b&nbsp;&isin;&nbsp;B&nbsp;?

A. p2
B. p x q
C. p + q
D. 2 pq
Answer» C. p + q
Discussion
83.

&nbsp;In&nbsp;a&nbsp;beauty&nbsp;contest,&nbsp;half&nbsp;the&nbsp;number&nbsp;of&nbsp;experts&nbsp;voted&nbsp;for&nbsp;Mr.&nbsp;A&nbsp;and&nbsp;two&nbsp;thirds&nbsp;voted&nbsp;for&nbsp;Mr.&nbsp;B.&nbsp;10&nbsp;voted&nbsp;for&nbsp;both&nbsp;and&nbsp;6&nbsp;did&nbsp;not&nbsp;vote&nbsp;for&nbsp;either.&nbsp;How&nbsp;many&nbsp;experts&nbsp;were&nbsp;there&nbsp;in&nbsp;all&nbsp;?

A. 18
B. 36
C. 24
D. None of these
Answer» D. None of these
Discussion
84.

&nbsp;If&nbsp;f&nbsp;:&nbsp;R&nbsp;----&gt;R&nbsp;defined&nbsp;by&nbsp;f(x)&nbsp;=&nbsp;x2&nbsp;+&nbsp;1,&nbsp;then&nbsp;values&nbsp;of&nbsp;f&nbsp;-1&nbsp;(17)&nbsp;and&nbsp;&nbsp;f&nbsp;-1(-3)&nbsp;are&nbsp;respectively

A. {Ø}, (4, - 4)
B. {3,-3},{Ø}
C. {Ø},{3,-3}
D. {4,-4},Ø
Answer» E.
Discussion
85.

Order&nbsp;of&nbsp;the&nbsp;power&nbsp;set&nbsp;of&nbsp;a&nbsp;set&nbsp;of&nbsp;order&nbsp;n&nbsp;is

A. n
B. 2n
C. n2
D. 2n
Answer» E.
Discussion
86.

In&nbsp;a&nbsp;room&nbsp;containing&nbsp;28&nbsp;people,&nbsp;there&nbsp;are&nbsp;18&nbsp;people&nbsp;who&nbsp;speak&nbsp;English,&nbsp;15&nbsp;people&nbsp;who&nbsp;speak&nbsp;Hindi&nbsp;and&nbsp;22&nbsp;people&nbsp;who&nbsp;speak&nbsp;Kannada,&nbsp;9&nbsp;persons&nbsp;speak&nbsp;both&nbsp;English&nbsp;and&nbsp;Hindi,&nbsp;11&nbsp;persons&nbsp;speak&nbsp;both&nbsp;Hindi&nbsp;and&nbsp;Kannada&nbsp;where&nbsp;as&nbsp;13&nbsp;persosn&nbsp;speak&nbsp;both&nbsp;Kannada&nbsp;and&nbsp;English.&nbsp;How&nbsp;many&nbsp;people&nbsp;speak&nbsp;all&nbsp;the&nbsp;three&nbsp;languages&nbsp;?

A. 6
B. 7
C. 8
D. 9
Answer» B. 7
Discussion
87.

&nbsp;&nbsp;If&nbsp;R&nbsp;=&nbsp;((1,&nbsp;1),&nbsp;(3,&nbsp;1),&nbsp;(2,&nbsp;3),&nbsp;(4,&nbsp;2)),&nbsp;then&nbsp;which&nbsp;of&nbsp;the&nbsp;following&nbsp;represents&nbsp;R2,&nbsp;where&nbsp;R2&nbsp;is&nbsp;R&nbsp;composite&nbsp;R?

A. ((1, 1), (3, 1), (2, 3), (4, 2))
B. f(1, 1), (9, 1), (4, 9), (16, 4))
C. 1(1, 3), (3, 3), (3, 4), (3, 2))
D. ((1, 1), (2, 1), (4, 3), (3, 1))
Answer» E.
Discussion
88.

&nbsp;In&nbsp;a&nbsp;language&nbsp;survey&nbsp;of&nbsp;students&nbsp;it&nbsp;is&nbsp;found&nbsp;that&nbsp;80&nbsp;students&nbsp;know&nbsp;English,&nbsp;60&nbsp;know&nbsp;French,&nbsp;50&nbsp;know&nbsp;German,&nbsp;30&nbsp;known&nbsp;Enlgish&nbsp;and&nbsp;French,&nbsp;20&nbsp;know&nbsp;French&nbsp;and&nbsp;German,&nbsp;15&nbsp;know&nbsp;English&nbsp;and&nbsp;German&nbsp;and&nbsp;10&nbsp;students&nbsp;know&nbsp;all&nbsp;the&nbsp;three&nbsp;languages. How&nbsp;many&nbsp;students&nbsp;know&nbsp;at&nbsp;least&nbsp;one&nbsp;language?

A. 135
B. 30
C. 10
D. 45
Answer» B. 30
Discussion
89.

&nbsp;&nbsp;&nbsp;The&nbsp;number&nbsp;of&nbsp;elements&nbsp;in&nbsp;the&nbsp;power&nbsp;set&nbsp;of&nbsp;the&nbsp;set&nbsp;{{a,&nbsp;b},&nbsp;c}&nbsp;is

A. 8
B. 4
C. 3
D. 7
Answer» C. 3
Discussion
90.

&nbsp;If&nbsp;&nbsp;f&nbsp;:&nbsp;X&nbsp;-&gt;&nbsp;Y&nbsp;and&nbsp;a,&nbsp;b&nbsp;&nbsp;&sube;&nbsp;X,&nbsp;then&nbsp;f&nbsp;(a&nbsp;&nbsp;&cap;&nbsp;b)&nbsp;is&nbsp;equal&nbsp;to

A. f(a) - f(b)
B. f(a) ∩ f(b)
C. a proper subset of f(a) ∩ f(b)
D. f(b) - f(a)
Answer» D. f(b) - f(a)
Discussion
91.

&nbsp;If&nbsp;X&nbsp;and&nbsp;Y&nbsp;are&nbsp;two&nbsp;sets,&nbsp;then&nbsp;X&nbsp;&nbsp;&cap;&nbsp;(Y&nbsp;&nbsp;&cup;&nbsp;X)&nbsp;C&nbsp;equals

A. X
B. Y
C. Ø
D. None of these
Answer» D. None of these
Discussion
92.

&nbsp; &nbsp;Let&nbsp;S&nbsp;be&nbsp;an&nbsp;infinite&nbsp;set&nbsp;and&nbsp;S1,&nbsp;S2,&nbsp;S3,&nbsp;...,&nbsp;Sn&nbsp;be&nbsp;sets&nbsp;such&nbsp;that&nbsp;S1&nbsp;&cup;S2&nbsp;&cup;S3&cup;&nbsp;.......Sn&nbsp;=&nbsp;S&nbsp;then

A. atleast one of the sets Si is a finite set
B. not more than one of the set Si can be inite
C. atleast one of the sets Si is an ininite set
D. none of these
Answer» D. none of these
Discussion
93.

&nbsp; If&nbsp;A&nbsp;and&nbsp;B&nbsp;are&nbsp;sets&nbsp;and&nbsp;A&cup;&nbsp;B=&nbsp;A&nbsp;&nbsp;&cap;&nbsp;B,&nbsp;then

A. A = Φ
B. B = Φ
C. A = B
D. none of these
Answer» D. none of these
Discussion
94.

&nbsp;The&nbsp;number&nbsp;of&nbsp;elements&nbsp;in&nbsp;the&nbsp;Power&nbsp;set&nbsp;P(S)&nbsp;of&nbsp;the&nbsp;set&nbsp;S&nbsp;=&nbsp;[&nbsp;[&nbsp;&Phi;]&nbsp;,&nbsp;1,&nbsp;[&nbsp;2,&nbsp;3&nbsp;]]&nbsp;is

A. 2
B. 4
C. 8
D. None of these
Answer» D. None of these
Discussion
95.

&quot;n/m&quot;&nbsp;means&nbsp;that&nbsp;n&nbsp;is&nbsp;a&nbsp;factor&nbsp;of&nbsp;m,&nbsp;then&nbsp;the&nbsp;relation&nbsp;T&nbsp;is

A. relexive and symmetric
B. transitive and symmetric
C. relexive, transitive and symmetric
D. relexive, transitive and not symmetric
Answer» E.
Discussion
96.

Number&nbsp;of&nbsp;subsets&nbsp;of&nbsp;a&nbsp;set&nbsp;of&nbsp;order&nbsp;three&nbsp;is

A. 3
B. 6
C. 8
D. 9
Answer» D. 9
Discussion
97.

Which&nbsp;of&nbsp;the&nbsp;following&nbsp;sets&nbsp;are&nbsp;null&nbsp;sets&nbsp;?

A. {0}
B. ø
C. { }
D. Both (b) & (c)
Answer» E.
Discussion
98.

The&nbsp;binary&nbsp;relation&nbsp;S&nbsp;=&nbsp;&nbsp;&Phi;&nbsp;(empty&nbsp;set)&nbsp;on&nbsp;set&nbsp;A&nbsp;=&nbsp;{1,&nbsp;2,3}&nbsp;&nbsp;is

A. neither reflexive nor symmetric
B. symmetric and relexive
C. transitive and relexive
D. transitive and symmetric
Answer» E.
Discussion
99.

&nbsp; Let&nbsp;R&nbsp;be&nbsp;a&nbsp;non-empty&nbsp;relation&nbsp;on&nbsp;a&nbsp;collection&nbsp;of&nbsp;sets&nbsp;defined&nbsp;by&nbsp;ARB&nbsp;if&nbsp;and&nbsp;only&nbsp;if&nbsp;A&nbsp;&nbsp;&cap;&nbsp;B&nbsp;=&nbsp;&Oslash; Then&nbsp;(pick&nbsp;the&nbsp;TRUE&nbsp;statement)&nbsp;

A. R is relexive and transitive
B. R is symmetric and not transitive
C. R is an equivalence relation
D. R is not relexive and not symmetric
Answer» C. R is an equivalence relation
Discussion
100.

The&nbsp;members&nbsp;of&nbsp;the&nbsp;set&nbsp;S&nbsp;=&nbsp;{x&nbsp;|&nbsp;x&nbsp;is&nbsp;the&nbsp;square&nbsp;of&nbsp;an&nbsp;integer&nbsp;and&nbsp;x&nbsp;&lt;&nbsp;100}&nbsp;is&nbsp;________________

A. {0, 2, 4, 5, 9, 58, 49, 56, 99, 12}
B. {0, 1, 4, 9, 16, 25, 36, 49, 64, 81}
C. {1, 4, 9, 16, 25, 36, 64, 81, 85, 99}
D. {0, 1, 4, 9, 16, 25, 36, 49, 64, 121}
Answer» C. {1, 4, 9, 16, 25, 36, 64, 81, 85, 99}
Discussion