UNIT-IV QUIZ -5

A non empty set A is termed as an algebraic structure ________

• with respect to binary operation *
• with respect to ternary operation?
• with respect to binary operation +
• with respect to unary operation –

A monoid is called a group if _______

• (a*a)=a=(a+c)
• (a*c)=(a+c)
• (a+c)=a
• (a*c)=(c*a)=e

Matrix multiplication is a/an _________ property.

• Commutative
• Associative
• Additive
• Disjunctive

A cyclic group can be generated by a/an ________ element.

• singular
• non-singular
• inverse
• multiplicative

How many properties can be held by a abelian group?

• 2
• 3
• 5
• 4

A cyclic group is always _________

• abelian group
• monoid
• semigroup
• subgroup

A subgroup has the properties of ________

• Closure, associative
• Commutative, associative, closure
• Inverse, identity, associative
• Closure, associative, Identity, Inverse

The set of rational numbers form an abelian group under _________

• Association
• Closure
• Multiplication
• Addition

If x * y = x + y + xy then (G, *) is _____________

• Monoid
• Abelian group
• Commutative semigroup
• Cyclic group

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?

• 10
• 42
• 5
• 35