Mathematical ReasoningEasy
Question
Consider the following statements :
P : Suman is brilliant
Q : Suman is rich.
R : Suman is honest
the negation of the statement
″Suman is brilliant and dishonest if and only if suman is rich″ can be equivalently expressed as :
P : Suman is brilliant
Q : Suman is rich.
R : Suman is honest
the negation of the statement
″Suman is brilliant and dishonest if and only if suman is rich″ can be equivalently expressed as :
Options
A.~ Q ↔ ~ P ∨ R
B.~ Q ↔ ~ P ∧ R
C.~ Q ↔ P ∨ ~ R
D.~ Q ↔ P ∧ ~ R
Solution
Given statement is equal to (p ∧ ~ R) ↔ Q
Negation of the above statment is ~ Q ↔ (p ∧ ~R)
~ Q ↔ P ∧ ~ R
Negation of the above statment is ~ Q ↔ (p ∧ ~R)
~ Q ↔ P ∧ ~ R
Create a free account to view solution
View Solution FreeMore Mathematical Reasoning Questions
If A = , then which one of the following statements is not correct ?...Consider the following statements :p : Sachin plays wellq : Sachin is good at heartr : Sachin will get Bharat Ratnathen ...Equivalent statement of the statement ″If > √2 then (√2)5 = 3″ will be...Let A = . The only correct statement about the matrix A is...In a certain town, 25% of the families own a phone and 15% own a car; 65% families own neither a phone nor a car and 2,0...