Q10 / 69 · NTA Abhyas (JEE Main) 2020 · Mathematics · Mathematical Reasoning

The negation of the statement "If I will become rich, then I will open a school", is

  • Correct answer
    A
    I will become rich and I will not open a school
  • B
    Either I will not become rich or I will not open a school.
  • C
    Neither I will become rich nor I will open a school.
  • D
    I will not become rich or I will open a school.

Solution

Let, p: I will become rich

q: I will open a school

Negation of p→q is ~p→q=p∧~q

i.e., I will become rich and I will not open a school.

Hence, the correct answer is option: 'A'.

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