Mysterious.......

Number Theory Level pending

There are a total of 21 questions in a science test. Among them, 10 questions are worth 5 points each, 7 questions worth 6 points each, and 4 questions worth 2 points each. None of these questions will be given partial credit. How many scores between 0 and 100 are impossible to get?

4 2 3 116 29

Rohit Ponnada by Rohit Ponnada , 20, USA

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1 solution

Rohit Ponnada
Jan 26, 2015

1,3,97,99 are all the impossible scores.

0 Helpful 0 Interesting 0 Brilliant 0 Confused

How can we demonstrate that those numbers cannot be attained?

How can we demonstrate that all other numbers can be attained?

Calvin Lin Staff - 6 years, 4 months ago

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You just have to use logic to tell which ones cannot be attained.

Rohit Ponnada - 6 years, 4 months ago

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Can you state the logic that you used, so that others who are unable to solve it can learn from you? Thanks!

Calvin Lin Staff - 6 years, 4 months ago

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