Quantrex Quantrex AcademyJEE · NEET · NDA PYQs with solutions Open app
JEE Main202125 Feb 2021Evening ShiftMathematicsMathematical ReasoningActual

The contrapositive of the statement "If you will work, you will earn money" is:

Options

  1. AIf you will not earn money, you will not work
  2. BTo earn money, you need to work
  3. CYou will earn money, if you will not work
  4. DIf you will earn money, you will work

Correct answer

A. If you will not earn money, you will not work

Step-by-step solution

Constrapositive of p → q is ~ q → ~ p ⇒ If you will not earn money, you will not work. option 1

Practice Mathematical Reasoning on Quantrex Academy →

More from Mathematical Reasoning

Negation of p ∧ q ∧ ~ p ∧ q is 2023The statement ( p ∧ ( ~ q ) ) ∨ ( ( ~ p ) ∧ q ) ∨ ( ( ~ p ) ∧ ( ~ q ) ) is equivalent to _ _ _ _ _ 2023The negation of the statement ( ( A ∧ ( B ∨ C ) ) ⇒ ( A ∨ B ) ) ⇒ A is 2023Among 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 2023The converse of ~ p ∧ q ⇒ r is 2023The 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 2023The statement ~ p ∨ ~ p ∧ q is equivalent to 2023The negation of the statement p ∨ q ∧ q ∨ ~ r is 2023 Full Mathematical Reasoning list All JEE Main PYQs