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  • Which of the following is the contrapositive of “If x is divisible by 4 then x must be divisible by 2”?Option: 1 If x

Which of the following is the contrapositive of “If x is divisible by 4 then x must be divisible by 2”?

Option: 1

If x is divisible by 2 then x must be divisible by 4


Option: 2

If x is not divisible by 2 then x must be divisible by 4


Option: 3

If x is not divisible by 2 then x is not divisible by 4

 


Option: 4

If x is divisible by 4 then x is not divisible by 2


Answers (1)

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Solution: The correct option is c) If x is not divisible by 2 then x is not divisible by 4

 

Explanation: The contrapositive statement for the given statement “if p then q” is “if not q then not p” 

So, the contrapositive for “If x is divisible by 4 then x must be divisible by 2” is “If x is not divisible by 2 then x is not divisible by 4”.

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