Question 12
Seven students, Alice, Ben, Cindy, Dan, Erik, Fred and Grace, take a mathematics test. Their scores appear in the chart, but the names are missing. Find Erik’s score, given that:
- Alice’s and Grace’s scores differ by 1.
- Grace scores 4 less than Cindy.
- Cindy scores 3 more than Ben.
- Dan’s score lies between Ben’s and Fred’s scores.
- Cindy’s score is either the highest or the lowest.
- Alice’s and Grace’s scores differ by 1.
- Grace scores 4 less than Cindy.
- Cindy scores 3 more than Ben.
- Dan’s score lies between Ben’s and Fred’s scores.
- Cindy’s score is either the highest or the lowest.