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NTA Abhyas 2020
Exam
NTA Abhyas
Year
2020
Subject
Mathematics
Chapter
Mathematical Reasoning

NTA Abhyas 2020 · Mathematics · Mathematical Reasoning

Consider the statement p : If a cylinder is right circular cylinder...

Consider the statement pp : If a cylinder is right circular cylinder then its volume is 13\pir2h.\dfrac{1}{3}\pir^{2}h .
Contrapositive of the statement pp is

Options

  1. AIf the volume of a cylinder is 13\pir2h\dfrac{1}{3}\pir^{2}h then it is not right circular cylinder
  2. BIf the volume of a cylinder is not 13\pir2h\dfrac{1}{3}\pir^{2}h then it is not right circular cylinder
  3. CIf a cylinder is not right circular cylinder then its volume is not \dfrac{1}{3}\pir^{2}h
  4. DVolume can’t be \dfrac{1}{3}\pir^{2}h

Correct answer

B. If the volume of a cylinder is not 13\pir2h\dfrac{1}{3}\pir^{2}h then it is not right circular cylinder

Step-by-step solution

Contrapositive of “p→q”“p \to q” is “q→p”“ q \to p”

Hence, the contrapositive of the given statement is: If the volume of a cylinder is not 13\pir2h\dfrac{1}{3}\pir^{2}h then it is not right circular cylinder

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