Q33 / 90 · JEE Main 2023 (30 Jan Shift 2) · Mathematics

Consider the following statements:
P : I have fever
Q : I will not take medicine
R : I will take rest
The statement "If I have fever, then I will take medicine and I will take rest" is equivalent to:

  • Correct answer
    A
    ~P∨~Q∧~P∨R
  • B
    ~P∨-Q∧~P∨~R
  • C
    P∨Q∧~P∨R
  • D
    P∨~Q∧P∨~R

Solution

We know the conditional statement:

if A, then B is given by A→B

So the given statements If I have fever, then I will take medicine and I will take rest can be written as,

P→~Q∧R

≡~P∨~Q∧R

≡~P∨~Q∧~P∨R

Hence, the correct answer is option: 'A'.

Relevant Questions