Quantrex Quantrex AcademyJEE · NEET · NDA PYQs with solutions Open app
MHT CET2018MathematicsMathematical Reasoning

The contrapositive of the statement: "If the weather is fine then my friends will come and we go for a picnic." is

Options

  1. AThe weather is fine but my friends will not come or we do not go for a picnic.
  2. BIf my friends do not come or we do not go for picnic then weather will not be fine.
  3. CIf the weather is not fine then my friends will not come or we do not go for a picnic.
  4. DThe weather is not fine but my friends will come and we go for a picnic.

Correct answer

B. If my friends do not come or we do not go for picnic then weather will not be fine.

Step-by-step solution

p → ( q ∧ r ) Contrapositive ( ∽ ( q ∧ r ) ) → ∽ p ∴ ( ∽ q ∨ ∽ r ) → ∽ p If my friends do not come or we do not go for picnic then weather will not be fine.

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