The Amazing Race!

The problem can be solved by drawing out the 'Truth' table shown above.

• $\color{#3D99F6}{\text{Carly finished three places behind of Evelyn.}} \Rightarrow$ Evelyn can only finished first, second or third and Carly, fourth, fifth or sixth. But $\color{#3D99F6}{\text{Evelyn did not finish in third.}} \Rightarrow$ Evelyn finished either first or second and Carly, fourth or fifth as shown as dots in the table above.
• $\color{#3D99F6}{\text{Bob finished somewhere ahead of Carly.}} \Rightarrow$ Bob finished first to fourth.
• $\color{#3D99F6}{\text{Andrew finished either second or fifth.}} \Rightarrow$ Indicated as such in the table.
• $\color{#3D99F6}{\text{Frank finished in the top 3.}} \Rightarrow$ Indicated as such in the table.

Now, we note from the Truth table that no one finished sixth, therefore, Dave must have finished last, the $\boxed{\text{sixth}}$ .

Since Carly finished 3 places behind Evelyn, and there are only 6 places, Evelyn must have finished 1st, 2nd, or 3rd. However, we are given that Evelyn did not finish 3rd, so Evelyn finished 1st or 2nd.

If Evelyn finished 2nd, then Carly finished 5th. However, we are given that Andrew finished either 2nd or 5th, so this is impossible.

Hence, Evelyn must have finished 1st, and Carly finished 4th. Since Frank finished in the top 3 and Bob finished ahead of Carly, Frank and Bob must be 2nd/3rd in some order. Since Andrew finished either 2nd or 5th, but 2nd is not possible, Andrew finished 5th.

This leaves Dave in 6th place. Poor Dave :(

Mmm i love these bit sized logic questions... just on the verge for my lazy mind to fetch pen and paper. Keep them coming! :)

Fortunately the solution is much easier than it appears at first sight. Note that we are not asked the exact order in which they ended up. In questions like that we try to locate the candidate at one end to start solving the problem. We see that there are more than one contenders for first position so we start at the other end and viola! Five are excluded and only Dave is left so he ends up being sixth. The actual solution is very beautifully explained by Chew-Seong Cheng.

The sequence is , Evenly, Frank, Bob, Carl, Alice, Dave. This satisfies all the conditions of the question.

The information tells us directly that neither Alice, Bob, Evelyn nor Frank were last. A little bit or reasoning tells us that Carly wasn't last either, which leaves only Dave to be last.

Let's start with Frank first. He is in the top 3. Then Carly, who can be either 4th, 5th or 6th. Evelyn DIDN'T FINISH IN 3RD, NOT IN THE TOP 3 . Which means that Evelyn is either 1st or 2nd and Carly is 4th or 5th. Bob said he beat Carly so he should be in 4th or higher.

If Evelyn was 1st:

Evelyn>Frank>Bob>Carly>Alice>Dave

If Evelyn was 2nd:

Frank>Evelyn>Bob>Alice>Carly>Dave(WRONG! Alice is not in 5th.)

So Dave is in last.