Question

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 2

I got this question in class test.

My doubt is from Mathematical Reasoning in chapter Mathematical Reasoning of Mathematics – Class 11

Answer 1

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”.