Discrete Mathematics Closure Associativity Online Exam Quiz
Discrete Mathematics Closure Associativity GK Quiz. Question and Answers related to Discrete Mathematics Closure Associativity. MCQ (Multiple Choice Questions with answers about Discrete Mathematics Closure Associativity
Let G be a finite group with two sub groups M & N such that |M|=56 and |N|=123. Determine the value of |M?N|.
Options
A : 1
B : 56
C : 14
D : 78
If group G has 65 elements and it has two subgroups namely K and L with order 14 and 30. What can be order of K intersection L?
Options
A : 10
B : 42
C : 5
D : 35
Let (A7, ?7)=({1, 2, 3, 4, 5, 6}, ?7) is a group. It has two sub groups X and Y. X={1, 3, 6}, Y={2, 3, 5}. What is the order of union of subgroups?
Options
A : 65
B : 5
C : 32
D : 18
If (M, *) is a cyclic group of order 73, then number of generator of G is equal to ______
Options
A : 89
B : 23
C : 72
D : 17
Consider the binary operations on X, a*b = a+b+4, for a, b ? X. It satisfies the properties of _______
Options
A : abelian group
B : semigroup
C : multiplicative group
D : isomorphic group
The set of even natural numbers, {6, 8, 10, 12,..,} is closed under addition operation. Which of the following properties will it satisfy?
Options
A : closure property
B : associative property
C : symmetric property
D : identity property
Let * be the binary operation on the rational number given by a*b=a+b+ab. Which of the following property does not exist for the group?
Options
A : closure property
B : identity property
C : symmetric property
D : associative property
A relation (34 × 78) × 57 = 57 × (78 × 34) can have __________ property.
Options
A : distributive
B : associative
C : commutative
D : closure
B1: ({0, 1, 2….(n-1)}, xm) where xn stands for “multiplication-modulo-n” and B2: ({0, 1, 2….n}, xn) where xn stands for “multiplication-modulo-m” are the two statements. Both B1 and B2 are considered to be __________
Options
A : groups
B : semigroups
C : subgroups
D : associative subgroup
A group G, ({0}, +) under addition operation satisfies which of the following properties?
Options
A : identity, multiplicity and inverse
B : closure, associativity, inverse and identity
C : multiplicity, associativity and closure
D : inverse and closure
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