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JEE Main201910 Jan 2019Evening ShiftMathematicsMathematical ReasoningActual

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?

Options

  1. AP ∨ ~ Q ∧ R
  2. BP ∧ Q ∨ ~ R
  3. C~ P ∨ Q ∧ R
  4. D~ P ∧ ~ Q ∧ R

Correct answer

A. P ∨ ~ Q ∧ R

Step-by-step 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

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