JEE Main201815 Apr 2018Morning ShiftMathematicsMathematical ReasoningActual

If ( p q ) ( p r ) p q is false, then the truth values of p , q and r are respectively

Options

AF , T , F
BT , F , T
CF, F, F
DT, T, T

Correct answer

B. T , F , T

Step-by-step solution

As the truth table for the (p q) (p r) p q is false, then only possible values of (p, q, r) is (T, F, T) array llllll p & q & r & q & p q & p r p & p q & (p q) (p r)(p q) (p r) p q array

Practice Mathematical Reasoning on Quantrex Academy →

More from Mathematical Reasoning

Negation of p ∧ q ∧ ~ p ∧ q is 2023 The statement ( p ∧ ( ~ q ) ) ∨ ( ( ~ p ) ∧ q ) ∨ ( ( ~ p ) ∧ ( ~ q ) ) is equivalent to _ _ _ _ _ 2023 The negation of the statement ( ( A ∧ ( B ∨ C ) ) ⇒ ( A ∨ B ) ) ⇒ A is 2023 Among the two statements S 1 : p ⇒ q ∧ p ∧ ~ q is a contradiction and S 2 : p ∧ q ∨ ~ p ∧ q ∨ p ∧ ~ q ∨ ~ p ∧ ~ q is a t 2023 The converse of ~ p ∧ q ⇒ r is 2023 The number of ordered triplets of the truth values of p , q and r such that the truth value of the statement p ∨ q ∧ p ∨ r ⇒ q ∨ r is True, is equal t 2023 The statement ~ p ∨ ~ p ∧ q is equivalent to 2023 The negation of the statement p ∨ q ∧ q ∨ ~ r is 2023 Full Mathematical Reasoning list All JEE Main PYQs