Logic Puzzle Answer

You are looking at the answer to one of our logic puzzles. There are several other puzzles for you to enjoy. Please click to find all our logic puzzles.

Math Test Scores - Answer

The order of grades from highest to lowest was Dallas, Aaron, Edgar, Carl and Benjamin.

Since no one predicted their own grade

• Statement (1) was made by Aaron or Dallas.

• Statement (2) was made by Benjamin or Edgar.

• Statement (3) was made by Benjamin or Dallas.

• Statement (4) was made by Aaron or Carl.

• Statement (5) was made by Dallas or Edgar.

• Therefore (4) must have been made by Carl and (1) by Aaron.

Assume Aaron is at the top. Then the order would be Aaron > Carl > Benjamin > Edgar. But then no possibility for Dallas results in three False-True and one False-False for the other statements. Therefore, Aaron cannot be at the top.

A similar line of reasoning shows that Carl is not at the top, also that neither Aaron nor Carl is at the bottom.

Therefore, the only possibilities are

• Benjamin top, Edgar bottom

• Edgar top, Benjamin bottom

• Dallas top, Benjamin bottom

• (Since a boy has the bottom grade, Dallas can't be bottom.)

Trial and error will show that only the above answer results in one True-True, three True-False and one False-False.