Q. The statement, “At least one of your friends is perfect”. Let P (x) be “x is perfect” and let F (x) be “x is your friend” and let the domain be all people.

View solution

Q. ”Everyone wants to learn cosmology.” This argument may be true for which domains?

View solution

Q. Let domain of m includes all students, P (m) be the statement “m spends more than 2 hours in playing polo”. Express ∀m ¬P (m) quantification in English.

View solution

Q. Determine the truth value of statement ∃n (4n = 3n) if the domain consists of all integers.

View solution

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

View solution

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

View solution

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

View solution

Q. 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).

View solution

Q. 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.”

View solution

Q. 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.

View solution

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

View solution

Q. 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.”

View solution

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

View solution

Q. Find a counter example of ∀x∀y(xy > y), where the domain for all variables consists of all integers.

View solution

Q. Which rule of inference is used in each of these arguments, “If it is Wednesday, then the Smartmart will be crowded. It is Wednesday. Thus, the Smartmart is crowded.”

View solution

Q. Which rule of inference is used in each of these arguments, “If it hailstoday, the local office will be closed. The local office is not closed today. Thus, it did not hailed today.”

View solution

Q. Which rule of inference is used, ”Bhavika will work in an enterprise this summer. Therefore, this summer Bhavika will work in an enterprise or he will go to beach.”

View solution

Q. What rule of inference is used here?

“It is cloudy and drizzling now. Therefore, it is cloudy now.”

View solution

Q. What rule of inference is used in this argument?

“If I go for a balanced diet, then I will be fit. If I will be fit, then I will remain healthy. Therefore, if I go for a balanced diet, then I will remain healthy.”

View solution

Q. What rules of inference are used in this argument?

“All students in this science class has taken a course in physics” and “Marry is a student in this class” imply the conclusion “Marry has taken a course in physics.”

View solution