Who Ate My Cake

Logic Level 2

Someone had eaten my cake!

My two best but cheeky friends, Ben and Connor, were last seen near my cake.

When asking them about the cake, they each said a statement.

Ben: "At least 1 of us ate the cake."

Connor: "Both of us ate the cake."

Knowing that people who ate the cake were liars, and that people who did not ate the cake were telling the truth, who ate the cake?

Neither of them Ben Connor Ben and Connor

Winston Choo by Winston Choo , 46, Singapore

This section requires Javascript.
You are seeing this because something didn't load right. We suggest you, (a) try refreshing the page, (b) enabling javascript if it is disabled on your browser and, finally, (c) loading the non-javascript version of this page . We're sorry about the hassle.

2 solutions

Saya Suka
Mar 18, 2021

Ben is obviously telling the truth, since the cake is gone, but it wasn't by his doing. That must have been the work of Connor who tried to drag an innocent Ben down with him and lied that they're doing it together.

0 Helpful 0 Interesting 0 Brilliant 0 Confused

I mean, what Ben said must be the truth, but he can't do so if he's one of the cake eaters (by this statement of "people who ate the cake were liars, and that people who did not ate the cake were telling the truth").

Saya Suka - 2 months ago

Consider the case where Connor is telling the truth, he says that both of them ate the cake , then if they ate cake then they must be lying, but if they are lying means they actually didnt ate the cake, this Case is contradictory . So, this case is not possible.

Now, lets consider the case where Ben is telling truth, if at least one of them ate cake implies that if only Connor ate the cake and he said both ate cake which is false and Ben statement still holds true.

Hence, C o n n o r \boxed {Connor} ate the Cake.

0 Helpful 0 Interesting 0 Brilliant 0 Confused

0 pending reports

×

Problem Loading...

Note Loading...

Set Loading...