Question

Use the conditional statement to answer the question.

If a whole number is even, then the number is divisible by 4.
Are the statement and its converse true?

A. Both the statement and its converse are false.

B. The statement is true, but the converse is false.

C. The statement is false, but the converse is true.

D. Both the statement and its converse are true.

I think its B.

Answer 1

lets test your answer,

lets choose a random even whole number "2"
is it divisible by 4?

Answer 2

no

Answer 3

so we know that the statement is false

Answer 4

lets look at the converse statement,
"if a number is divisible by 4, then the whole number is even"

random divisible by 4 number, "44"
is this statement true?

Answer 5

I think so

Answer 6

crud, bad example

Answer 7

Lol.

Answer 8

lets go with 48 instead,
48 divided by 4 is 12
12 is even, hence the statement is true

Answer 9

So its C

Answer 10

but now we have to ask, are there any possible numbers divisible by 4, that wont result in a even number?

Answer 11

hence we look at 44
44 divided by 4 is equal to 11

is 11 even?

Answer 12

no

Answer 13

if I divide 6 by 4 it gives me 1.5

Answer 14

So it isnt always true

Answer 15

well, 1.5 is not a whole number either so the statement is false

Answer 16

which means your final answer is?

Answer 17

A.

Answer 18

I'm going to have to disagree.

Answer 19

did i make a mistake somewhere?

Answer 20

I agree that the original statement is wrong. But the converse is correct. If the number is divisible by 4, then it is even. This is true.

Answer 21

oh crap, you're right

my bad

Answer 22

It's alright. I got confused at first but I had to say in my head multiple times. So it should be C.

Answer 23

ok, thanks

Answer 24

on a more general note, if a statement appears to be true, see if there is any way possible way to make it false

Answer 25

Agreed.

Answer 26

The answer was correct. Thanks