Q56 / 90 · JEE Main 2019 (10 Jan Shift 2) · Mathematics

Consider the following three statements:

P:5 is a prime number

Q:7 is a factor of 192

R: LCM of 5 and 7 is 35

Then the truth value of which one of the following statements is true?

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

Solution

P is true

Q is False

R is True

1  P∨~Q∧R=T∨T∧T=T

2 T∧F∨F =F∨F=F

3 F∨F∧T=F∨F=F

4 F∧T∧T=F∧T=F

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

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