RankLab
Back to Questions
MathsMediumMCQ2023 · 29 Jan Shift 2

Q73.The statement B ⇒((~A) ∨B) is not equivalent to : (1) B ⇒(A ⇒B) (2) A ⇒(A ⇔B) (3) A ⇒((~A) ⇒B) (4) B ⇒((~A) ⇒B) ¯¯

What This Question Tests

This question tests the understanding of logical equivalence and standard rules for manipulating conditional statements. Students need to convert the given statement into a simpler form and check which option is not equivalent.

Concepts Tested

Conditional statement (implication)Disjunction (OR)Negation (NOT)Logical equivalence

Formulas Used

P ⇒ Q ≡ ~P ∨ Q

De Morgan's laws

📚 NCERT Sections This Tests

14.2Which Of The Statements Given In Exercise 14.1 Is True For P-Type

Physics Class 12 · Chapter 14

71% match

14.2 Which of the statements given in Exercise 14.1 is true for p-type semiconductos.

14.1In An N-Type Silicon, Which Of The Following Statement Is True:

Physics Class 12 · Chapter 14

70% match

14.1 In an n-type silicon, which of the following statement is true: (a) Electrons are majority carriers and trivalent atoms are the dopants. (b) Electrons are minority carriers and pentavalent atoms are the dopants. (c) Holes are minority carriers and pentavalent atoms are the dopants. (d) Holes are majority carriers and trivalent atoms are the dopants.

5.15Discuss The Nature Of Bonding In The Following Coordination Entities On The

Chemistry Class 11 · Chapter 5

69% match

5.15 Discuss the nature of bonding in the following coordination entities on the basis of valence bond theory: (i) [Fe(CN)6] 4– (ii) [FeF6] 3– (iii) [Co(C2O4)3]3– (iv) [CoF6] 3–

📋 Question Details

Chapter
Mathematical Reasoning
Topic
Logical equivalence of statements
Year
2023
Shift
29 Jan Shift 2
Q Number
Q73
Type
MCQ
NCERT Ref
Class 11 Mathematics Ch 14: Mathematical Reasoning

More from this Chapter

Q82.Let p be the statement " x is an irrational number", q be the statement " y is a transcendental number", and r be the statement " x is a rational number iff y is a transcendental number". Statement −1 : r is equivalent to either q or p Statement −2 : r is equivalent to ∼(p ↔∼q). (1) Statement −1 is false, Statement −2 is true (2) Statement −1 is true, Statement −2 is true, Statement −2 is a correct explanation for Statement −1 (3) Statement −1 is true, Statement −2 is true; (4) Statement −1 is true, Statement −2 is false. Statement −2 is not a correct explanation for Statement −1.

2008
Hard

Q83.The statement p →(q →p) is equivalent to (1) p →(p →q) (2) p →(p ∨q) (3) p →(p ∧q) (4) p →(p ↔q)

2008
Medium

Q70.Statement-1: ∼(p ↔∼q) is equivalent to p ↔q . Statement-2 : ∼(p ↔∼q) is a tautology. (1) Statement-1 is true, Statement-2 is true; (2) Statement-1 is true, Statement-2 is true; Statement-2 is a correct explanation for Statement-2 is not a correct explanation for Statement-1 Statement-1 (3) Statement-1 is true, Statement-2 is false (4) Statement-1 is false, Statement-2 is true

2009
Medium

Q73.Let S be a non-empty subset of R. Consider the following statement: P : There is a rational number x ∈S such that x > 0. Which of the following statements is the negation of the statement P ? JEE Main 2010 JEE Main Previous Year Paper (1) There is no rational number x ∈S such that (2) Every rational number x ∈S satisfies x ≤0 x ≤0 (3) x ∈S and x ≤0 ⇒x is not rational (4) There is a rational number x ∈S such that x ≤0

2010
Easy
More Mathematics questions