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12. An instructor scored a student’s test of 50 questions by subtracting 2 times the number of incorrect answers from the number of correct answers. If the student answered all of the questions and received a score of 38, how many questions did that student answer correctly? (A) 19 (B) 38 (C) 41 (D) 44 (E) 46

12. An instructor scored a student’s test of 50 questions by subtracting 2 times the number of incorrect answers from the number of correct answers. If the student answered all of the questions and received a score of 38, how many questions did that student answer correctly? (A) 19 (B) 38 (C) 41 (D) 44 (E) 46

Try and reason out the answers logically if possible... that will give you a lot of confidence... To understand the question, say Had the student answered all correctly, he would have scored 50. One mistake would have cost him 3 points : 49 points for correct answers, 2 points subtracted for 1 incorrect answer. This means every one incorrect answer leads to a loss of 3 points. Since he lost a total of 12 points, he must have had 4 questions incorrect. So he must have answered 46 questions correctly.
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12. An instructor scored a student’s test of 50 questions by subtracting 2 times the number of incorrect answers from the number of correct answers. If the student answered all of the questions and received a score of 38, how many questions did that student answer correctly? (A) 19 (B) 38 (C) 41 (D) 44 (E) 46

Try and reason out the answers logically if possible... that will give you a lot of confidence... To understand the question, say Had the student answered all correctly, he would have scored 50. One mistake would have cost him 3 points : 49 points for correct answers, 2 points subtracted for 1 incorrect answer. This means every one incorrect answer leads to a loss of 3 points. Since he lost a total of 12 points, he must have had 4 questions incorrect. So he must have answered 46 questions correctly.

Karishma your way of handeling problems is awesome this is infact real GMAT approach hats off to you
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An instructor scored a student's test of 50 questions by subtracting 2 times the number of incorrect answers from the number of correct answers. If the student answered all of the questions and received a score of 38, how many questions did that student answer correctly?

Re: A math problem, pls help to solve(0) [#permalink]

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08 Aug 2011, 22:24

Do you mean the answers like following?

A. 19-2(31) != -43, so it is wrong, because the score is 38. B. 38-2(12) != 14, so it is wrong again. C. 41-2(9) != 23, so it is wrong D. 44-2(6) != 32, wrong. E. 46-2(4) =38, correct because that's the score.

Does your explaination mean above?

Try plugin answers A. 19-2(31) != 38 B. 38-2(12) !=38 C. 41-2(9) !=38 D. 44-2(6) !=38 E. 46-2(4) =38

vinayreguri wrote:

Try plugin answers A. 19-2(31) != 38 B. 38-2(12) !=38 C. 41-2(9) !=38 D. 44-2(6) !=38 E. 46-2(4) =38

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