Mark, Brent, Logan, Steven, and Noah are on a school basketball team. All of the following
statements are true
There are 3 boys shorter than Mark.
Logan is shorter than Mark.
Noah is not the shortest boy.
Logan is taller than Brent and Noah
5. The boys, listed in order from tallest to shortest, are
A. Brent, Noah, Logan, Mark, Steven
B. Logan, Mark, Steven, Noah, Brent
C. Steven, Logan, Mark, Noah, Brent
D. Steven, Mark, Logan, Noah, Brent
"There are 3 boys shorter than Mark"
so he is 2nd tallest, pointing to B or D
"Logan is shorter than Mark"
that eliminates B , leaving D
check to see if D satisfies the last two statements.
To find the correct answer, let's analyze the given statements:
1. There are 3 boys shorter than Mark.
This means that Mark is one of the tallest boys on the team.
2. Logan is shorter than Mark.
This means that Mark is taller than Logan.
3. Noah is not the shortest boy.
This tells us that there is at least one boy shorter than Noah.
4. Logan is taller than Brent and Noah.
This implies that Logan is not the shortest boy since he is taller than at least two other boys on the team.
Based on these statements, we can conclude the following:
- Mark is one of the tallest boys on the team, and Logan is taller than him.
- Noah is not the shortest boy, but there is at least one boy shorter than him.
Now, let's evaluate the answer choices:
A. Brent, Noah, Logan, Mark, Steven
According to the given statements, Mark is one of the tallest boys, so this order does not match.
B. Logan, Mark, Steven, Noah, Brent
Mark needs to be taller than Logan, so this option does not match.
C. Steven, Logan, Mark, Noah, Brent
This order meets the conditions stated in the problem, with Mark being taller than Logan and Steven. Noah is not the shortest but is taller than at least one other boy. Brent is not mentioned in terms of height, so his position can be anywhere in the order.
D. Steven, Mark, Logan, Noah, Brent
This order also meets the given conditions, with Mark being taller than Logan, and Steven being the tallest. Noah is not the shortest, and Brent's position is not specified.
Both options C and D meet the conditions provided, but since Brent's position is not specified in the problem, either C or D could be correct.
Therefore, the possible correct answers are C. Steven, Logan, Mark, Noah, Brent and D. Steven, Mark, Logan, Noah, Brent.