Jump to content
BrainDen.com - Brain Teasers
  • 0
BMAD

Did you get more than me?

Question

Four men (A, B, C, and D) are kept in a room a punishment for their crimes.  Each day, they retreat to a corner where they are fed an amount of a certain type of food.  In total, they receive thirteen pieces of the assigned food.  On this day, they all retreated to their corners to receive beef jerky.  After enjoying their food, they came back to the center.  In front of the group, A asked B, "Did you get more than me?" To which B replied, No.  Curious then, B turned to C and said, "Did you get more than me?" To which C replied, No. Even more curious, C turned to D and said, "Did you get more than me?" To which D replied, "Yes and I know how much each of you got!"

How much food did B and C get?

Share this post


Link to post
Share on other sites

9 answers to this question

Recommended Posts

  • 1
Spoiler

B and C each have 1 piece...D has X pieces (where X>1), and A has 11-X pieces.

Let's walk through this:

We are starting with the assumption that everyone got at least one piece

When A asked B if he had more and B said "no", the only way he could know that is if B only received one piece...Because with that, there is no way he could've had more than A...he could have had the SAME, but not MORE.

So then B asked C the same, and the same logic applies. So B and C each had 1 piece.

At this point we know B and C each had 1 piece, which means there are 11 pieces unaccounted for. D knows all of this information because of what he just heard, and as long as he has 2 or more, he knows he has more than C...and he would know exactly how many because A would have (11-D), which is why he can say his statement.

If our original assumption is incorrect, and people were allowed to have 0, then B and C both had 0 as CaptainEd mentioned...although D would have at least 1, not 0, and A would have the rest.

 

Edited by Pickett
Misread original post.

Share this post


Link to post
Share on other sites
  • 1

I'm missing something. 

Spoiler

[spoiler=one answer] A,B,C each got zero, D got 13[/spoiler]

 

Edited by bonanova
Spoilered CaptainEd's answer

Share this post


Link to post
Share on other sites
  • 0
Spoiler

A, B and C got 3 pieces each, D got 4 pieces-   

 

Edited by bonanova
Spoilered Indra's answer

Share this post


Link to post
Share on other sites
  • 0

 

Spoiler

 

It is stated that D got more than C. Thus D did not necessarily get more than A or B [C<=B<=A & D>C].

 

 

 

Edited by rocdocmac
removed tables

Share this post


Link to post
Share on other sites
  • 0

If we assume that the men are perfectly intelligent, I think this puzzle may be trickier than it seems. In fact, it appears impossible?

Like Pickett, I will adopt a positive world view and assume that each man received at least one piece of beef jerky.

Spoiler

True, B can only be sure that he got less than A if he only received one piece. Same goes for C.

However, A would only have asked if he himself had received less than six pieces. Otherwise, the answer would have already been clear to him.

So this is where it gets strange. Since C knows that B only received one piece and A less than six, he should also know that D could not have received fewer than six.

Curious.

 

Share this post


Link to post
Share on other sites
  • 0

I think we make a wrong assumption in the assessment of A.

 

 

A asks a question and B has only 3 possible responses: "Yes," "No,"  or "I don't know."  If B has received 6 or more pieces, he would answer "Yes." If B has only gotten 1 piece, he will answer "No." If B has gotten 2 to 5 he would answer "I don't know."

A would know this before asking the question. So it does not follow that A is limited to 2 to 5 pieces. A's question is really to determine B's possible holdings. 

In any case, B has to have 1, and C has to have 1.

 

Share this post


Link to post
Share on other sites
  • 0
12 hours ago, Biotop said:

I think we make a wrong assumption in the assessment of A.

 

 

  Hide contents

 

 

A asks a question and B has only 3 possible responses: "Yes," "No,"  or "I don't know."  If B has received 6 or more pieces, he would answer "Yes." If B has only gotten 1 piece, he will answer "No." If B has gotten 2 to 5 he would answer "I don't know."

A would know this before asking the question. So it does not follow that A is limited to 2 to 5 pieces. A's question is really to determine B's possible holdings. 

In any case, B has to have 1, and C has to have 1.

 

 

 

That's actually a pretty interesting point.

Spoiler

You're saying that even if A knows for sure that he got more, it's possible he is trying to determine whether B only got one piece or not (unless A got the maximum number of pieces).

Perhaps this is reading too much into the problem, but if that's the case, why wouldn't A simply ask how many pieces B got?

Share this post


Link to post
Share on other sites
  • 0
On 8/8/2017 at 8:44 AM, gavinksong said:

That's actually a pretty interesting point.

  Reveal hidden contents

You're saying that even if A knows for sure that he got more, it's possible he is trying to determine whether B only got one piece or not (unless A got the maximum number of pieces).

Perhaps this is reading too much into the problem, but if that's the case, why wouldn't A simply ask how many pieces B got?

Because then we wouldn't have a puzzle. 

Share this post


Link to post
Share on other sites

Join the conversation

You can post now and register later. If you have an account, sign in now to post with your account.

Guest
Answer this question...

×   Pasted as rich text.   Paste as plain text instead

  Only 75 emoji are allowed.

×   Your link has been automatically embedded.   Display as a link instead

×   Your previous content has been restored.   Clear editor

×   You cannot paste images directly. Upload or insert images from URL.

Loading...

  • Recently Browsing   0 members

    No registered users viewing this page.

×
×
  • Create New...