Discrete Mathematics Questions and Answers – Functions

This section focuses on "Functions" in Discrete Mathematics. These Multiple Choice Questions (mcq) should be practiced to improve the Discrete Mathematics skills required for various interviews (campus interviews, walk-in interviews, company interviews), placements, entrance exams and other competitive examinations.

1. A function or mapping (Defined as f:X->Y) is a relationship from elements of one set X to elements of another set Y, then X is called?

A. Codomain
B. pre-image
C. Domain
D. image of function

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2. A function can not be?

A. one to one
B. many to one
C. one to many.
D. All of the above

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3. f:N->N,f(x)=5x is?

A. injective
B. not injective
C. surjective
D. inverse

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4. A function f:A→B is ___________ (onto) if the image of f equals its range.

A. injective
B. surjective
C. inverse
D. not surjective

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5. If function is both surjective and injective then it is known as?

A. invertible
B. composition
C. bijective
D. associative

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6. If f and g are onto then the function (gof) is?

A. one to one
B. onto
C. one to many.
D. into

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7. Composition does not hold?

A. associative property
B. commutative property
C. one-to-one function
D. Both A and B

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8. Let f and g be the function from the set of integers to itself, defined by f(x) = 2x + 1 and g(x) = 3x + 4. Then the composition of f and g is ____________

A. 6x+9
B. 6x+7
C. 6x+3
D. 6x+8

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9. __________ bytes are required to encode 2000 bits of data.

A. 4
B. 8
C. 1
D. 2

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10. which of the following is true?

A. The function f(x) = x^3 is bijection from R to R.
B. The function f(x)=x+1 from the set of integers to itself is onto.
C. Both A and B
D. None of the above

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