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A test has 12 problems, and each problem is worth 5 marks. Full marks are given for a correct answer, 2 marks are given if there is no answer, and no marks are given for an incorrect answer. Some scores between 1 and 60 (don't include 1 and 60), are impossible to get on this test. What is the sum of these impossible scores?

 Apr 8, 2019
 #1
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Using brute force....here's what I get :

 

Possible Scores

2, 4, 5, 6, 7, 8, 9 , 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22 23, 24, 25, 26, 27, 28, 29,

30 31, 32, 33, 34, 35, 36, 37, 38, 39, 40, 41, 42, 43, 44, 45, 46, 47, 48, 49, 50, 51, 52, 54,

55, 57

 

So....the impossible scores are

 

3, 53, 56, 58, 59

 

And their sum is  229

 

 

cool cool cool

 Apr 8, 2019

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