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The Highest Grade (Posted on 2003-12-11) Difficulty: 3 of 5
I had someone tell me, after seeing what grade they got on several quizzes, that he got the highest grade (after rounding to the nearest percent) for that letter, for all 5 quizzes. Each quiz he took, he got a different letter grade on it.

When the grades are calculated for these quizzes, it is the number of questions you got right divided by the number of questions total on the quiz. Then the score is taken as a percent (the decimal is multiplied by 100) and then rounded to the nearest percent (.5 and above rounds up, below .5 rounds down)

The grading scale works so that:

100-90 A
89-80 B
79-70 C
69-60 D
0-59 F

What are the fewest number of questions possible on each quiz?

For example, if someone got 6 questions right out of 7 questions total, it would be 6/7 or about 85.7%, which rounds to 86, which isn't the highest B possible, (86 is not equal to 89) Since no number over 7 can be in the 88.5 up to 89.5 range, there couldn't have been exactly 7 questions on the quiz. There also couldn't have been 8 questions on the B quiz. 7/8 or 88 percent isn't the highest B possible; it's too low, and 8/8 or 100 percent is too high.

No Solution Yet Submitted by Gamer    
Rating: 3.4000 (5 votes)

Comments: ( Back to comment list | You must be logged in to post comments.)
not sureif its the lowest but a shot | Comment 9 of 15 |

well the way i look at it is

 

for an A 100% is the highest since the percent is derived for numright/total * 100 (so not extra credit problems) so to get a A the minimum is 1 question.  as for the rest

89.49 % rounded to 89% is the highest possible for a B

79.49 % rounded to 79% is the highest possible for a C

69.49 % rounded to 69% is the highest possible for a D

59.49 % rounded to 59 % is the highestpossible for an F

 

so 1 question for a A

10000 for a b

10000 for a c

10000 for a d

10000 for a f

or a total of 40,001 questions for all


  Posted by mike on 2008-02-16 15:25:07
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