Quantrex Quantrex AcademyJEE · NEET · NDA PYQs with solutions Open app
MHT CET202410 May 2024Evening ShiftMathematicsMathematical ReasoningActual

The expression ((p q) (p q)) ( p q) is equivalent to

Options

  1. Ap q
  2. Bp q
  3. Cp q
  4. D( p) ( q)

Correct answer

D. ( p) ( q)

Step-by-step solution

aligned & ((p q) (p q)) ( p q) & (p (p q)) (q (p q)) ( p q) & ...[Distributive Law] & (p q) (p T) ( p q) & ...[Complement Law] & (p q) T ( p q) & ...[Identity Law] & (p q) ( p q) [Identity Law] & (p ( p q)) ( q ( p q)) & F ( p q) & ...[Distributive Law] & p q & ...[Complement Law] aligned

Practice Mathematical Reasoning on Quantrex Academy →

More from Mathematical Reasoning

The contrapositive of q p is equivalent to 2026If p q is false then which of the following is correct? 2026The negation of the inverse of the statement p q is... 2026Which of the following is/are not true ? I) If 1 is not a prime number, then 2 is not a prime number. II) e is a vowel and 12 3 = 36 III) It is not true that 14 is a composite numb 2026Consider the following statements. p : If 3^4 > 4^3 , then 3^3 > 4^4 q : The roots of the equation x^2 - 2x + 2 = 0 are real if and only if Mumbai is in Maharashtra. r : Statement 2026If p q is false and q r is false, then the truth value of (p, q, r) is... 2026If p, q, r are simple propositions with truth values T, F, T respectively, then which of the following is not a true statement? 2026If the truth value of [(p q) (q r) ( r)] (p q) is false, then which of the following is NOT true? 2026 Full Mathematical Reasoning list All MHT CET PYQs