English
Tamil Nadu Board of Secondary EducationHSC Science Class 12

Choose the correct alternative: p q (p ∧ q) → ¬p T T (a) T F (b) F T (c) F F (d) Which one of the following is correct for the truth value of (p ∧ q) → ¬p - Mathematics

Advertisements
Advertisements

Question

Choose the correct alternative:

p q (p ∧ q) → ¬p
T T (a)
T F (b)
F T (c)
F F (d)

Which one of the following is correct for the truth value of (p ∧ q) → ¬p

Options

  • (a) T T T T
  • (b) F T T T
  • (c) F F T T
  • (d) T T T F
MCQ
Advertisements

Solution

(b) F T T T
shaalaa.com
Mathematical Logic
  Is there an error in this question or solution?
Chapter 12: Discrete Mathematics - Exercise 12.3 [Page 251]

APPEARS IN

Samacheer Kalvi Mathematics - Volume 1 and 2 [English] Class 12 TN Board
Chapter 12 Discrete Mathematics
Exercise 12.3 | Q 16 | Page 251

RELATED QUESTIONS

Write the following sentences in symbolic form using statement variables p and q.

19 is a prime number and all the angles of a triangle are equal


Which one of the following sentences is a proposition?

3n ≤ 81, n ∈ N


Which one of the following sentences is a proposition?

Peacock is our national bird


Which one of the following sentences is a proposition?

How tall this mountain is!


Write the converse, inverse, and contrapositive of the following implication.

If x and y are numbers such that x = y, then x2 = y2


Construct the truth table for the following statement.

¬P ∧ ¬q


Construct the truth table for the following statement.

(p v q) v ¬q


Construct the truth table for the following statement

(¬p → r) ∧ (p ↔ q)


Verify whether the following compound propositions are tautologies or contradictions or contingency.

((p → q) ∧ (q → r)) → (p → r)


Show that (p ∧ q) ≡ ¬p v ¬q


Show that ¬(p → q) ≡ p ∧¬q


Show that ¬(p ↔ q) ≡ p ↔ ¬q


Using the truth table check whether the statements ¬(p v q) v (¬p ∧ q) and ¬p are logically equivalent


Prove that p → (¬q v r) ≡ ¬p v (¬q v r) using truth table


Choose the correct alternative:

The operation * defined by a * b = `"ab"/7` is not a binary operation on


Choose the correct alternative:

Which one of the following statements has the truth value T?


Choose the correct alternative:

Which one is the inverse of the statement (p v q) → (p ∧ q)?


Choose the correct alternative:

In the last column of the truth table for ¬(p v ¬q) the number of final outcomes of the truth value ‘F’ is


Choose the correct alternative:

Which one of the following is incorrect? For any two propositions p and q, we have


Choose the correct alternative:

Which one of the following is not true?


Share
Notifications

Englishहिंदीमराठी


      Forgot password?
Use app×