Laurie, Allen, Scott, and Adam all entered
their pet frogs in a distance-jumping contest.
Laurie's frog finished ahead of Allen's, but
was not first. Scott's frog finished behind
Laurie's, but was not last.
- If all of the statements above are true,
which conclusion below is definitely true?
- Allen's frog did not finish in last place.
- Allen's and Scott's frogs finished the
contest ahead of Laurie's frog.
- Laurie's and Scott's frogs finished first
and second in the contest.
- Adam's frog finished first while Allen's
frog finished last in the contest.
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To answer this question,
you will want to find the order the frogs
finished to determine which of the statements is true.
Let's find the order of the contest much like
we did in the previous problem with a table to
fill in as we reread the clues.
As you look over the clues, you will notice that
you can find whose frog finished first, Adam's.
Let's see how.
After reading the clues, you see that Laurie's
frog did not finish first, but did finish
ahead of Allen's. Therefore, you know that Allen's
frog didn't finish first either. You also
know that Scott's frog finished behind
Laurie's frog, which didn't come in first.
So you can see how the only frog left to place
first is Adam's.
Now, look back over the clues and see if you
can place the other frogs. You are told that
Laurie's frog finished ahead of Allen's
and ahead of Scott's. There is only one place that
Laurie's frog could have come in and that was
second.
With only two places left to fill, you are
told that Scott's frog didn't finish last therefore
his frog must have finished third and Allen's
frog finished last. Here is the correct order:
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Adam's
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Laurie's
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Scott's
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Allen's
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With the correct order of the contest, you
can now look over the four statements to see
which is true.
- Letter A, Allen's frog didn't finish last
isn't true since his frog did finish last.
Sorry Allen.
- Letter B, Scott's and Allen's frogs didn't
finish ahead of Laurie's so this statement
isn't true either.
- Letter C, Laurie's and Scott's frogs didn't
finish in first and second but in second
and third, so this statement isn't true as
well.
- With letter D, you know that this statement
is true since Adam's frog came in first
and Allen's frog came in last. Therefore
our final
answer to this problem would be letter D.
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