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

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

“It is either colder than Himalaya today or the pollution is harmful. It is hotter than Himalaya today. Therefore, the pollution is harmful.”

View solution

Q. The premises (p ∧ q) ∨ r and r → s imply which of the conclusion?

View solution

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

“Jay is an awesome student. Jay is also a good dancer. Therefore, Jay is an awesome student and a good dancer.”

View solution

Q. “Parul is out for a trip or it is not snowing” and “It is snowing or Raju is playing chess” imply that __________

View solution

Q. Let the statement be “If n is not an odd integer then square of n is not odd.”, then if P(n) is “n is an not an odd integer” and Q(n) is “(square of n) is not odd.” For direct proof we should prove _________

View solution

Q. Which of the following can only be used in disproving the statements?

View solution

Q. Let the statement be “If n is not an odd integer then sum of n with some not odd number will not be odd.”, then if P(n) is “n is an not an odd integer” and Q(n) is “sum of n with some not odd number will not be odd.” A proof by contraposition will be ________

View solution

Q. When to proof P→Q true, we proof P false, that type of proof is known as ___________

View solution

Q. In proving √5 as irrational, we begin with assumption √5 is rational in which type of proof?

View solution

Q. A proof covering all the possible cases, such type of proofs are known as ___________

View solution

Q. Which of the arguments is not valid in proving sum of two odd number is not odd.

View solution