For survay

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?

• 65

• 5

• 32

• 11

A relation (34 × 78) × 57 = 57 × (78 × 34) can have

• distributive

• Asdociative

• Commutative

• 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

• semigroups

• groups

• subgroups

• associative subgroup

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?

• 12

• 8

• 10

• 5

Consider the binary operations on X, a*b = a+b+4, for a, b ∈X. It satisfies the properties of

• semigroup

• isomorphic group

• abelian group

• multiplicative group

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?

• identity property

• closure property b)

• associative property

• symmetric property

Let G be a finite group with two sub groups M & N such that |M| = 56 and |N| = 123 . Determine the value of |MON].

• 1

• 7

• 12

• 9

A group G, ({0}, +) under addition operation satisfies which of the following properties?

• a) identity, multiplicity and inverse

• d) inverse and closure

• c) multiplicity, associativity and Inverse

• closure, associativity, inverse and identity

If (M, *) is a cyclic group of order 73, then number of generator of G is equal to

• 71

• 75

• 72

• 70

The set of even natural numbers, {6, 8, 10, 12,..,) is closed under addition operation. Which of the following properties will it satisfy?

• closure property

• associative property

• symmetric property

• identity property