RankLab
Back to Questions
MathsEasyMCQ2012 · 19 May Online

Q73.Let p and q be two Statements. Amongst the following, the Statement that is equivalent to p →q is (1) p∧∼q (2) ∼p ∨q (3) ∼p ∧q (4) p∨∼q

What This Question Tests

This is a direct conceptual question testing the fundamental logical equivalence of a conditional statement (p implies q) with a disjunction (not p or q).

Concepts Tested

Conditional statement (Implication)NegationConjunction (AND)Disjunction (OR)Truth tables / Logical equivalences

Formulas Used

p → q ≡ ~p ∨ q

📚 NCERT Sections This Tests

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

Physics Class 12 · Chapter 14

74% 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

71% 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.

8.17Complete Each Synthesis By Giving Missing Starting Material, Reagent Or Products

Chemistry Class 12 · Chapter 8

71% match

8.17 Complete each synthesis by giving missing starting material, reagent or products

📋 Question Details

Chapter
Mathematical Reasoning
Topic
Logical equivalence
Year
2012
Shift
19 May Online
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