A study sponsored by a consumer group tests exactly five of seven cold medications-F,G,H,I,K,L,M-and ranks the medications tested from first (best) to fifth (worst). There are no ties. The following conditions apply:

L ranks second.

Either F or G ranks first.

I is tested.

H ranks better than G if both are tested.

K ranks better than F if both are tested.

If M is tested, both F and H are also tested.

Thanks.

I can't help you with sketching because the way I do it is not computer-friendly, but I will try with the understanding part.

You have only F or G first and L is always second. I has to be one of the other three.

If F is first, L is second, I is 3, 4 or 5. K can NOT be one of the other two, because it would have to be before F, so your ONLY choices for the other two spaces are either G,H

**in that order**, or M,H. G,M is NOT a choice because if you include M you HAVE to include H.

So if F is first, these are your choices.

F,L,H,G,I

F,L,I,G,H

F,L,--M,H,I-- any order of the last three

If G is first, then G is first, L is second, I is one of the other three. You can NOT use H because it would have to be before G, and since you can NOT use H, you can't use M either. Also K goes before F.

So these are your ONLY choices if G is first:

G,L,K,F,I

G,L,I,K,F

G,L,K,I,F

Disclaimer: I'm not good at games at all!!! Just trying...

So if anybody sees a flaw... PLEASE chime in

Good Luck!