RankLab
Back to Questions
MathsEasyConceptual2019 · 11 Jan Shift 2

Q72.Contrapositive of the statement "If two numbers are not equal, then their squares are not equal". is : (1) If the squares of two numbers are not equal, then (2) If the squares of two numbers are equal, then the the numbers are equal. numbers are not equal. (3) If the squares of two numbers are equal, then the (4) If the squares of two numbers are not equal, then numbers are equal. the numbers are not equal.

What This Question Tests

This question directly tests the definition and formation of the contrapositive of a given conditional logical statement.

Concepts Tested

Logical connectivesContrapositive of conditional statements

Formulas Used

Contrapositive of p → q is ¬q → ¬p

📚 NCERT Sections This Tests

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

Physics Class 12 · Chapter 14

70% 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.

9.5How Will You Convert:

Chemistry Class 12 · Chapter 9

68% match

9.5 How will you convert: (i) Ethanoic acid into methanamine (ii) Hexanenitrile into 1-aminopentane (iii) Methanol to ethanoic acid (iv) Ethanamine into methanamine (v) Ethanoic acid into propanoic acid (vi) Methanamine into ethanamine (vii) Nitromethane into dimethylamine (viii) Propanoic acid into ethanoic acid? 9.6 Describe a method for the identification of primary, secondary and tertiary amines. Also write chemical equations of the reactions involved.

📋 Question Details

Chapter
Mathematical Reasoning
Topic
Contrapositive of a statement
Year
2019
Shift
11 Jan Shift 2
Q Number
Q72
Type
Conceptual
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