SOLUTION: The students in math class took an exam. They all got different grades ranging from A-F. Rachel received neither an A nor an F. Pat got a lower score than Rachel. Bill scored below

Question 1058473: The students in math class took an exam. They all got different grades ranging from A-F. Rachel received neither an A nor an F. Pat got a lower score than Rachel. Bill scored below Sue. Andy scored higher than Rachel but not Bill. Who got the A. You should be able to assign all five grades.
Found 2 solutions by ikleyn, MathTherapy:
Answer by ikleyn(52847) (Show Source): You can put this solution on YOUR website!
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The students in math class took an exam. They all got different grades ranging from A-F.
Rachel received neither an A nor an F.
Pat got a lower score than Rachel.
Bill scored below Sue.
Andy scored higher than Rachel but not Bill.
Who got the A. You should be able to assign all five grades.
~~~~~~~~~~~~~~~~~~

Who got the A ?

Answer. Sue.

Solution

Not Rachel. ("Rachel received neither an A nor an F.") Not Pat. ("Pat got a lower score than Rachel.") Not Bill. ("Bill scored below Sue.") Nor Andy. ("Andy scored higher than Rachel but not Bill.") ====> The only remained possibility is Sue.

Solved.

Thanks for sending this problem.

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Regarding the rest of the students, their grades are

Bill B Andy C Rashel D Pat F

Answer by MathTherapy(10555) (Show Source): You can put this solution on YOUR website!

The students in math class took an exam. They all got different grades ranging from A-F. Rachel received neither an A nor an F. Pat got a lower score than Rachel. Bill scored below Sue. Andy scored higher than Rachel but not Bill. Who got the A. You should be able to assign all five grades.

Grades: A, B, C, D, F
Rachel > Pat
Andy > Rachel
Bill > Andy
Sue > Bill
Since no 2 grades repeat, and each grade was assigned, from above, we get:
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