Scoring Times
On a test, each question is worth 1 point. No partial credit is given.
Lucas scored
times as many points as Jane. The sum of their scores is 24. Which of the following could not be a value for
?
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1 solution
Let Jane have a points. Then, Lucas has q a points. The sum of the number of points they have is ( q + 1 ) a . Thus, both q + 1 and a have to be factors of 2 4 . The options, when 1 is added to each of them, become 2 , 3 , 4 , 5 , 6 . Out of these, 5 is not a factor of 2 4 . Thus our answer is 5 − 1 = 4 .