Which of the following is contrapositive of “If x is divisible by 4 then x must be divisible by 2”?(a) If x is divisible by 2 then x must be divisible by 4(b) If x is not divisible by 2 then x must be divisible by 4(c) If x is not divisible by 2 then x is not divisible by 4(d) If x is divisible by 4 then x is not divisible by 2I have been asked this question in an online interview.Enquiry is from Mathematical Reasoning topic in division Mathematical Reasoning of Mathematics – Class 11

Which of the following is contrapositive of “If x is divisible by 4

1.	Which of the following is contrapositive of “If x is divisible by 4 then x must be divisible by 2”?(a) If x is divisible by 2 then x must be divisible by 4(b) If x is not divisible by 2 then x must be divisible by 4(c) If x is not divisible by 2 then x is not divisible by 4(d) If x is divisible by 4 then x is not divisible by 2I have been asked this question in an online interview.Enquiry is from Mathematical Reasoning topic in division Mathematical Reasoning of Mathematics – Class 11
Answer» RIGHT choice is (c) If x is not divisible by 2 then x is not divisible by 4 Easy explanation: Contrapositive statement for given statement “if P then Q” is “if not q then not p” i.e. ~q => ~p. So, 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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