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Difficulty:
25%
(medium)
Question Stats:
71%
(01:53)
correct 29%
(02:36)
wrong
based on 733
sessions
History
Date
Time
Result
Not Attempted Yet
In a medical enterance examination conducted at national level, each correct answer gets the candidate four marks, while each incorrect answer results in a negative marking of one mark. There were no negative marking for an unanswered question.
It is known that Aditya answered at least one question incorrectly, and there were a total of 30 questions.
Select for Maximum score the maximum possible score that Aditya could have got, and select for Impossible score the score that Aditya cannot score. Make only two selections, one in each column.
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Maximum score
Impossible score
99
100
110
111
115
116
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In a medical enterance examination conducted at national level, each correct answer gets the candidate four marks, while each incorrect answer results in a negative marking of one mark. There were no negative marking for an unanswered question.
It is known that Aditya answered at least one question incorrectly, and there were a total of 30 questions.
Select for Maximum score the maximum possible score that Aditya could have got, and select for Impossible score the score that Aditya cannot score. Make only two selections, one in each column.
Show more
The maximum score a person can get is 4*30 or 120, when all questions are correct. However, we know that the student scores at least one question wrong.
Maximum score: Apart from the question wrong, the student answers all other questions correctly and scores 4*29 - 1 = 115.
Impossible score: If the highest score that the student can get is 115, surely he can never get 116.
The catch is that each incorrect answer results in -5 and each unanswered question results in -4 from the maximum score of 120.
All other scores are possible as we can always increase or decrease the number of unanswered questions.
In a medical enterance examination conducted at national level, each correct answer gets the candidate four marks, while each incorrect answer results in a negative marking of one mark. There were no negative marking for an unanswered question.
It is known that Aditya answered at least one question incorrectly, and there were a total of 30 questions.
------
(1) Maximum score implies that he got 1 questions incorrect and 29 questions correct
So 29*4 -1 = 115
(2) Impossible Score
So you could presumably think of a few combinations of numbers across questions correct vs questions incorrect. But the logic here is that if 115 is the highest possible score that he could have gotten, that pretty much means that he CANNOT get a 116 score.
A member just gave Kudos to this thread, showing it’s still useful. I’ve bumped it to the top so more people can benefit. Feel free to add your own questions or solutions.
This post was generated automatically.
Archived Topic
Hi there,
This topic has been closed and archived due to inactivity or violation of community quality standards. No more replies are possible here.
Still interested in this question? Check out the "Best Topics" block above for a better discussion on this exact question, as well as several more related questions.
