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Which of the following is converse 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 got this question in class test.My doubt is from Mathematical Reasoning in chapter Mathematical Reasoning of Mathematics – Class 11

Answer» RIGHT answer is (a) If x is divisible by 2 then x MUST be divisible by 4

The best I can explain: Converse statement for GIVEN statement “if p then Q” is “if q then p” i.e. q => p.

So, converse for “If x is divisible by 4 then x must be divisible by 2” is “If x is divisible by 2 then x is must be divisible by 4”.


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