The negation of the statement “If I become a teacher, then I will open a school” is: - Mathematics MCQ AIEEE 2012 2026 | ExamTest.live | ExamTest.live

Home Tests Search Rank Profile

mediumMCQAIEEE 20122026Mathematics

1 mark

The negation of the statement “If I become a teacher, then I will open a school” is:

A $I will become a teacher and I will not open a school$
B $Either I will not become a teacher or I will not open a school$
C $Neither I will become a teacher nor I will open a school$
D $I will not become a teacher or I will open a school$

Solution & Step-by-step Explanation

Let p : "I become a teacher" and q : "I will open a school".The given statement is p \to q .We know that the negation of an implication \neg (p \to q) is logically equivalent to p \land \neg q .Translating p \land \neg q back into English:"I become a teacher and I will not open a school."

Practice this question

Try it yourself before checking the explanation above.

The negation of the statement “If I become a teacher, then I will open a school” is:

A

I will become a teacher and I will not open a school

B

Either I will not become a teacher or I will not open a school

C

Neither I will become a teacher nor I will open a school

D

I will not become a teacher or I will open a school

Share This Question

Mathematical Reasoning Logic Negation

Related Questions

Which one of the following statements is true?

Which of the following statements is not correct?

Which one of the following statements is correct?

The product formed by the reaction of an aldehyde with a primary amine is:

Which part of the tobacco plant is infected by Meloidogyne incognita?

The term ecosystem was coined by:

Ready for a Full Test?

Practice with timed mock tests and track your performance across Mathematics.

Browse Tests Leaderboard

Discussion