Please help me with this Logic game !

[maithu.raman]

Please help me solve this question as i have been having trouble getting the correct answers .

Jamie has invited five guests for dinner and is planning a menu of Broccoli ,chicken,Eggs and ham. His guests are Anna,Ben,Chris,Dana, and Evan. Each guests eat two different dishes,subject to the following conditions .

No two guests eat the same two dishes.
If Anna eats chicken or ham, Dana has eggs.
Ben has one dish that Chris has, and Chris has one dish that Dana has.
If Evan has ham,Anna has eggs.
If Chris has broccoli or ham ,then Evan shares that dish with Chris.

1)If Ben and Chris both have Broccoli ,what could Dana have?

(A)Broccoli and Chicken
(B)Broccoli and eggs
(C)Broccoli and ham
(D)chicken and ham
(E) Eggs and ham

2)If Chris has eggs and ham, What could Anna have ?

(A)Broccoli and chicken.
(B)Broccoli and eggs
(C)Broccoli and ham
(D)Chicken and ham
(E)Eggs and ham

3)If Anna and Dana both have chicken ,what could Chris have ?

(A)Broccoli and Chicken
(B)chicken and eggs
(C)Broccoli and ham
(D)Chicken and ham
(E)Eggs and ham

4)Which of the following is a group of all the people who can all have ham at the same ?

(A)Anna,Ben,and Chris
(B)Anna,Ben, and Evan
(C)Anna,Chris, and Dana
(D)Anna,Dana, and Evan
(E)Ben,Chris , and Dana

5)If Dana has chicken and ham, what could Ben NOT have ?

(A)Broccoli and chicken
(B)Broccoli and eggs
(C)Broccoli and ham
(D)Chicken and eggs
(E)Eggs and ham

6) How many people,at most, could have eggs?

(A)one
(B)two
(C)three
(D)four
(E)five

7)If only Chris and Evan have ham ,what could Anna have ?

(A)Broccoli and chicken
(B)Broccoli and eggs
(C)Chicken and eggs
(D)Chicken and ham
(E)Eggs and ham

[ohthatpatrick]

That's a pretty brutal game. Where did it come from?

Once I had symbolized the rules, I took a Big Pause, especially since this isn't like any game I've ever played before.

I was asking myself, "What's most limited?"

It turns out, it's pretty helpful to think about how many unique pairs you can make from only 4 ingredients.

You can only make 6 unique pairs:
bc
be
bh
ce
ch
eh

Since there are five people and no one can have a matching pair, we'll always be using 5 of those 6 possibilities.

That was part of what helped me. Other than that, I just followed the inference chain for most questions ... normally that got rid of two or three answers. Several times I was down to 2 and had to actually write out full scenarios because what ultimately breaks one of them is painfully hard to see.

Why don't you try re-playing the game now and see how it goes. If you're still struggling, let me know.

Here are my answers (but of course I'm not sure if they're correct):
1. E
2. B
3. A
4. B
5. B
6. C
7. B

[maithu.raman]

You are Genius. All the answers are absolutely correct . I will try it again today . I got stuck with it so many times . Thanks again

By the way this question is from Mcgraw -Hill's conquering Lsat logic games.