RankLab
Back to Questions
MathsEasyMCQ2021 · 25 Feb Shift 1

Q70.The statement A →(B →A) is equivalent to : (1) A →(A ∧B) (2) A →(A ∨B) (3) A →(A ↔B) (4) A →(A →B)

What This Question Tests

This question tests basic understanding of logical equivalences, specifically converting a conditional statement into an equivalent form using disjunction or other connectives.

Concepts Tested

Implication (conditional statement)Logical connectives (∧, ∨, ↔)Truth tables or logical equivalences

Formulas Used

A → B ≡ ~A ∨ B

📚 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

69% 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.

1.3Define The Following Terms:

Chemistry Class 11 · Chapter 1

69% match

1.3 Define the following terms: (i) Mole fraction (ii) Molality (iii) Molarity (iv) Mass percentage.

📋 Question Details

Chapter
Mathematical Reasoning
Topic
Logical equivalences
Year
2021
Shift
25 Feb Shift 1
Q Number
Q70
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