Discrete Mathematics Nested Quantifiers Online Exam Quiz

Discrete Mathematics Nested Quantifiers GK Quiz. Question and Answers related to Discrete Mathematics Nested Quantifiers. MCQ (Multiple Choice Questions with answers about Discrete Mathematics Nested Quantifiers

Let L(x, y) be the statement “x loves y,” where the domain for both x and y consists of all people in the world. Use quantifiers to express, “Joy is loved by everyone.”

Options

A : ?x L(x, Joy)

B : ?y L(Joy,y)

C : ?y?x L(x, y)

D : ?x ¬L(Joy, x)

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Express, “The difference of a real number and itself is zero” using required operators.

Options

A : ?x(x ? x! = 0)

B : ?x(x ? x = 0)

C : ?x?y(x ? y = 0)

D : ?x(x ? x = 0)

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“The product of two negative real numbers is not negative.” Is given by?

Options

A : ?x ?y ((x < 0) ? (y < 0) ? (xy > 0))

B : ?x ?y ((x < 0) ? (y < 0) ? (xy > 0))

C : ?x ?y ((x < 0) ? (y < 0) ? (xy > 0))

D : ?x ?y ((x < 0) ? (y < 0) ? (xy > 0))

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Use quantifiers and predicates with more than one variable to express, “There is a pupil in this lecture who has taken at least one course in Discrete Maths.”

Options

A : ?x?yP (x, y), where P (x, y) is “x has taken y,” the domain for x consists of all pupil in this class, and the domain for y consists of all Discrete Maths lectures

B : ?x?yP (x, y), where P (x, y) is “x has taken y,” the domain for x consists of all Discrete Maths lectures, and the domain for y consists of all pupil in this class

C : ?x?yP(x, y), where P (x, y) is “x has taken y,” the domain for x consists of all pupil in this class, and the domain for y consists of all Discrete Maths lectures

D : ?x?yP(x, y), where P (x, y) is “x has taken y,” the domain for x consists of all pupil in this class, and the domain for y consists of all Discrete Maths lectures

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Let T (x, y) mean that student x likes dish y, where the domain for x consists of all students at your school and the domain for y consists of all dishes. Express ¬T (Amit, South Indian) by a simple English sentence.

Options

A : All students does not like South Indian dishes.

B : Amit does not like South Indian people.

C : Amit does not like South Indian dishes.

D : Amit does not like some dishes.

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Translate ?x?y(x < y) in English, considering domain as a real number for both the variable.

Options

A : For all real number x there exists a real number y such that x is less than y

B : For every real number y there exists a real number x such that x is less than y

C : For some real number x there exists a real number y such that x is less than y

D : For each and every real number x and y such that x is less than y

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Determine the truth value of ?n?m(n + m = 5 ? n ? m = 2) if the domain for all variables consists of all integers.

Options

A : True

B : False

C :

D :

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Let Q(x, y) be the statement “x + y = x ? y.” If the domain for both variables consists of all integers, what is the truth value of ?xQ(x, 4).

Options

A : True

B : False

C :

D :

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Let Q(x, y) denote “M + A = 0.” What is the truth value of the quantifications ?A?M Q(M, A).

Options

A : True

B : False

C :

D :

View Answer

Find a counterexample of ?x?y(xy > y), where the domain for all variables consists of all integers.

Options

A : x = -1, y = 17

B : x = -2 y = 8

C : Both x = -1, y = 17 and x = -2 y = 8

D : Does not have any counter example

View Answer

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