Top 350+ Solved Discrete Mathematics MCQ Questions Answer

From 316 to 330 of 338

Q. A relation (34 × 78) × 57 = 57 × (78 × 34)can have                      property.

a. distributive

b. associative

c. commutative

d. closure

  • b. associative

Q. 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?

a. closure property

b. identity property

c. symmetric property

d. associative property

  • b. identity property

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

a. identity, multiplicity and inverse

b. closure, associativity, inverse and identity

c. multiplicity, associativity and closure

d. inverse and closure

  • b. closure, associativity, inverse and identity

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

a. closure property

b. associative property

c. symmetric property

d. identity property

  • a. closure property

Q. A non empty set A is termed as an algebraic structure                  

a. with respect to binary operation *

b. with respect to ternary operation ?

c. with respect to binary operation +

d. with respect to unary operation –

  • a. with respect to binary operation *

Q. An algebraic structure                    is called a semigroup.

a. (p, *)

b. (q, +, *)

c. (p, +)

d. (+, *)

  • a. (p, *)

Q. Condition for monoid is                      

a. (a+e)=a

b. (a*e)=(a+e)

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

d. (a*e)=(e*a)=a

  • d. (a*e)=(e*a)=a

Q. A monoid is called a group if                

a. (a*a)=a=(a+c)

b. (a*c)=(a+c)

c. (a+c)=a

d. (a*c)=(c*a)=e

  • d. (a*c)=(c*a)=e

Q. Matrix multiplication is a/an                    property.

a. commutative

b. associative

c. additive

d. disjunctive

  • b. associative

Q. How many properties can be held by a group?

a. 2

b. 3

c. 5

d. 4

Q. A cyclic group is always                    

a. abelian group

b. monoid

c. semigroup

d. subgroup

  • a. abelian group
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