JEE Main · 2019 · 12 Jan 2019 · Shift 2 · Mathematical Reasoning *

WhatsApp Email
The expression is logically equivalent to :
  1. (A)✓ Correct
  2. (B)
  3. (C)
  4. (D)

Answer: (A)

Solution

Rewrite the implication: , so . Checking every combination of truth values for and confirms the two sides agree in each case, so the expression is equivalent to .

JEE Main · 2019 · 12 Jan 2019 · Shift 2 · Single correct option

More JEE Main questions on Mathematical Reasoning *

  1. Among the statements
    (S1): is a tautology
    (S2): is a contradiction
    JEE Main 2023View solution →
  2. Negation of is
    JEE Main 2023View solution →
  3. Statement is logically equivalent to
    JEE Main 2023View solution →
  4. The negation of is equivalent to
    JEE Main 2023View solution →
  5. The statement is equivalent to
    JEE Main 2023View solution →
  6. The negation of the statement is
    JEE Main 2023View solution →