In a medical enterance examination conducted at national level,

Question

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.

simranggupta11 · Answer

Hi Please share the explanation for this question

chetan2u · Answer

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.

thisischelso · Answer

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.

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In a medical enterance examination conducted at national level,

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­In a medical enterance examination conducted at national level,

Prep Toolkit

615 to 715 in 15 Days (Ria's Strategies)

More than Quant/Verbal Abilities: Speed vs. Accuracy

745 with Only Self-Prep and GMAT Club

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My Rewards

In a medical enterance examination conducted at national level,