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Discrete Mathematics | Binary Operation MCQs

Discrete Mathematics | Binary Operation MCQs: This section contains multiple-choice questions and answers on Binary Operation in Discrete Mathematics.
Submitted by Anushree Goswami, on August 10, 2022

1. Suppose we have A, a non-empty set, and a function f: AxA→A is called a ____ operation on A?

1. Unary
2. Binary
3. Ternary
4. None

Answer: B) Binary

Explanation:

Suppose we have A, a non-empty set, and a function f: AxA→A is called a binary operation on A.

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2. Certainly, a binary operation (*) on A is expressed as ____?

1. *ab
2. ab*
3. ba*
4. a*b

Answer: D) a*b

Explanation:

Certainly, a binary operation on A is expressed as a*b.

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3. Symbol of binary operator is-?

1. *
2. +
3. -
4. All of the above

Answer: D) All of the above

Explanation:

Symbol of binary operator is *, +, -, ∨, ∧, etc.

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4. In a binary operation, the operator is placed ____the two operands to denote the value?

1. Before
2. Between
3. After
4. Specifically located

Answer: B) Between

Explanation:

In a binary operation, the operator is placed between the two operands to denote the value.

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5. Which of the following is/are an/the example(s) of Binary Operation?

1. Natural numbers can be added as binary operations.
2. This operation is performed on a set of subsets of a Universal set in a binary manner.
3. Natural numbers, integers, and complex numbers can be multiplied using a binary operation.
4. All of the above

Answer: D) All of the above

Explanation:

The examples of Binary Operation are-

1. Natural numbers can be added as binary operations.
2. This operation is performed on a set of subsets of a Universal set in a binary manner.
3. Natural numbers, integers, and complex numbers can be multiplied using a binary operation.

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6. Unlike subtraction of integers, subtraction of ____numbers is not a binary operation, because it is possible for two natural numbers to be subtracted at the same time?

1. Whole
2. Real
3. Natural
4. Fraction

Answer: C) Natural

Explanation:

Unlike subtraction of integers, subtraction of natural numbers is not a binary operation, because it is possible for two natural numbers to be subtracted at the same time.

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7. The ____of subsets of a universal set is a binary operation?

1. Union
2. Intersection
3. Both A and B
4. None of the above

Answer: C) Both A and B

Explanation:

The union and interesection of subsets of a universal set is a binary operation.

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8. Consequently, f: AxAx...........A→A is called an _-ary operation?

1. 1
2. 2
3. Null
4. n

Answer: D) n

Explanation:

Consequently, f: AxAx...........A→A is called an n-ary operation.

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