Q70.Consider the following statements: P : Ramu is intelligent. Q : Ramu is rich. R : Ramu is not honest. The negation of the statement "Ramu is intelligent and honest if and only if Ramu is not rich" can be expressed as: (1) ((P ∧(~R)) ∧Q) ∧((~Q) ∧((~P) ∨R)) (2) ((P ∧R) ∧Q) ∨((~Q) ∧((~P) ∨(~R))) (3) ((P ∧R) ∧Q) ∧((~Q) ∧((~P) ∨(~R))) (4) ((P ∧(~R)) ∧Q) ∨((~Q) ∧((~P) ∧R))
What This Question Tests
The question tests the ability to translate verbal statements into logical expressions and correctly apply the rules for negating compound statements involving 'if and only if' and 'and'.
Concepts Tested
Formulas Used
¬(P ↔ Q) ≡ (P ∧ ¬Q) ∨ (Q ∧ ¬P)
¬(P ∧ Q) ≡ ¬P ∨ ¬Q
📚 NCERT Sections This Tests
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Physics Class 12 · Chapter 14
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.
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Chemistry Class 11 · Chapter 5
5.24 Write down the IUPAC name for each of the following complexes and indicate the oxidation state, electronic configuration and coordination number. Also give stereochemistry and magnetic moment of the complex: (i) K[Cr(H2O)2(C2O4)2].3H2O (iii) [CrCl3(py)3] (v) K4[Mn(CN)6] (ii) [Co(NH3)5Cl-]Cl2 (iv) Cs[FeCl4]
📋 Question Details
- Chapter
- Mathematical Reasoning
- Topic
- Negation of compound statements
- Year
- 2022
- Shift
- 25 Jul Shift 2
- Q Number
- Q70
- Type
- MCQ
- NCERT Ref
- Class 11 Mathematics Ch 14: Mathematical Reasoning
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