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An instructor scored a student’s test of 50 questions by subtracting 2 [#permalink]

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16 Mar 2011, 10:05

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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?

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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Re: An instructor scored a student’s test of 50 questions by subtracting 2 [#permalink]

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30 Mar 2011, 04:24

VeritasPrepKarishma wrote:

Acer86 wrote:

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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WarLocK _____________________________________________________________________________ The War is oNNNNNNNNNNNNN for 720+ see my Test exp here http://gmatclub.com/forum/my-test-experience-111610.html do not hesitate me giving kudos if you like my post.

Re: An instructor scored a student’s test of 50 questions by subtracting 2 [#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

Re: An instructor scored a student’s test of 50 questions by subtracting 2 [#permalink]

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06 Oct 2017, 22:38

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