Quantrex Quantrex AcademyJEE · NEET · NDA PYQs with solutions Open app
COMEDK2013MathematicsMathematical Reasoning

Which of the following is the inverse of the proposition : "If a number is a prime, then it is odd"?

Options

  1. AIf a number is not a prime, then it is odd
  2. BIf a number is not a prime, then it is not odd
  3. CIf a number is not odd, then it is not a prime
  4. DIf a number is odd, then it is a prime

Correct answer

B. If a number is not a prime, then it is not odd

Step-by-step solution

Let p : A number is a prime. q: A number is odd. The given proposition is p q Now, inverse of (p q) is p q Therefore, the inverse of the given proposition is 'If a number is not a prime, then it is not odd.'

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 COMEDK PYQs