Six boys are comparing their heights. Andy is taller than Dan but shorter than Ethan. Bill is taller than Ethan and Frank. Frank is taller than Ethan. Cory is shorter than Dan. List the boys from tallest to shortest

List of boys from tallest to shortest is: Bill, Frank, Ethan, Andy, Dan, Cory

Solution:

Given that Six boys are comparing their heights

The six boys are Andy, Dan, Ethan, Bill, Frank, Cory

To find: List the boys from tallest to shortest

Andy is taller than Dan but shorter than Ethan

So the arrangement goes like this:

Ethan

Andy

Dan

Bill is taller than Ethan and Frank:

So Bill is taller than ethan. Thus the arrangement from tall to short is made as:

Bill

Ethan

Andy

Dan

Also bill is taller than frank. So frank can be placed anywhere below bill

But given that Frank is taller than Ethan. So frank can be placed above ethan

Now the arrangement goes like this:

Bill

Frank

Ethan

Andy

Dan

Cory is shorter than Dan.

So cory can be placed below Dan.

Thus final arrangement from tallest to shortest boys are:

Bill

Frank

Ethan

Andy

Dan

Cory