NTA Abhyas JEE Main2020MathematicsMathematical ReasoningPractice
Consider the statement p : If a cylinder is right circular cylinder then its volume is 1 3 π r 2 h . Contrapositive of the statement p is
Options
- AIf the volume of a cylinder is 1 3 π r 2 h then it is not right circular cylinder
- BIf the volume of a cylinder is not 1 3 π r 2 h then it is not right circular cylinder
- CIf a cylinder is not right circular cylinder then its volume is not 1 3 π r 2 h
- DVolume can’t be 1 3 π r 2 h
Correct answer
B. If the volume of a cylinder is not 1 3 π r 2 h then it is not right circular cylinder
Step-by-step solution
Contrapositive of “ p → q ” is “ ~ q → ~ p ” Hence, the contrapositive of the given statement is: If the volume of a cylinder is not 1 3 π r 2 h then it is not right circular cylinder