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Marks on Marks off (Posted on 2019-05-15) Difficulty: 3 of 5
In a 90-question, multiple-choice test, a student gets

+4 for a correct answer
0 for a question not attempted
-1 for an incorrect attempt.

The total score is the sum of all the marks to the 90 questions. How many total scores are possible?

No Solution Yet Submitted by Danish Ahmed Khan    
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Solution solution | Comment 1 of 3
Any multiple of 4 can be achieved, through 360.
    (91 of these, including zero)

One less than a multiple of 4 can be achived through 355.
    (89 of these)

Two less than a multiple of 4 through 350.
    (88 of these)

Three less than a multiple of 4 through 345.
    (87 of these)
    
That's 355.

But -90 through -1 are also all possible:

355 + 90 = 445.


  Posted by Charlie on 2019-05-15 16:56:55
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