Look at the statement below.

If a number is a multiple of 4, it is divisible by 2.

Which of these is a logically equivalent statement?

If a number is divisible by 2, it is a multiple of 4.
If a number is not divisible by 2, it is a multiple of 4.
If a number is not a multiple of 4, it is not divisible by 2.
If a number is not divisible by 2, it is not a multiple of 4.

Question

Look at the statement below.
 
If a number is a multiple of 4, it is divisible by 2.
 
Which of these is a logically equivalent statement?

If a number is divisible by 2, it is a multiple of 4.
		If a number is not divisible by 2, it is a multiple of 4.
		If a number is not a multiple of 4, it is not divisible by 2.
		If a number is not divisible by 2, it is not a multiple of 4.

anonymous · Answer

the contrapositive
the contrapostive of "if P, then Q" is "if not Q, then not P"

wondermath · Answer

i would say If a number is not a multiple of 4, it is not divisible by 2.

anonymous · Answer

@Wondermath, that is not the same, and in fact it is not true.  6 for example

wondermath · Answer

oh..i thought it was just a logic problem

wondermath · Answer

my bad, sorry

anonymous · Answer

yeah it is a logic problem. look for the "contrapositive" that is an equivalent statement

wondermath · Answer

lol wat

happykiddo · Answer

thanks to all

anonymous · Answer

@happykiddo  did you get it?

happykiddo · Answer

i got it :)

wondermath · Answer

whats the answer?

anonymous · Answer

@Wondermath is correct. I asked my teacher and he said it was correct

anonymous · Answer

Oh never mind. He had it backwards. The answer would be D.