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Intern  Joined: 03 Dec 2010
Posts: 30
An instructor scored a student’s test of 50 questions by subtracting 2  [#permalink]

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2
11 00:00

Difficulty:   35% (medium)

Question Stats: 71% (01:34) correct 29% (01:33) wrong based on 253 sessions

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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?

(A) 19
(B) 38
(C) 41
(D) 44
(E) 46

Project PS Butler : Question #73

Manager  Joined: 03 Mar 2011
Posts: 67
Location: United States
Schools: Erasmus (S)
GMAT 1: 730 Q51 V37
GPA: 3.9
Re: An instructor scored a student’s test of 50 questions by subtracting 2  [#permalink]

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3
If x is the number of mistakes, then the score is (50-x)-2x=50-3x
50-3x=38
3x=12
x=4

So, the number of right answers is 50-4=46. The answer is E
Veritas Prep GMAT Instructor V
Joined: 16 Oct 2010
Posts: 10664
Location: Pune, India
Re: An instructor scored a student’s test of 50 questions by subtracting 2  [#permalink]

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4
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
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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Karishma
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Director  Status: Impossible is not a fact. It's an opinion. It's a dare. Impossible is nothing.
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Re: An instructor scored a student’s test of 50 questions by subtracting 2  [#permalink]

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Yeah common sense tells me answer will be greater than 38. So only choices are d or e

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Joined: 16 Nov 2010
Posts: 1163
Location: United States (IN)
Concentration: Strategy, Technology
Re: An instructor scored a student’s test of 50 questions by subtracting 2  [#permalink]

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3
y - # of incorrect answers

x + y = 50
x - 2y = 38

so 3y = 12 => y = 4, so x = 46.

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

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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
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  Intern  Joined: 18 Jun 2011
Posts: 11
WE: Information Technology (Investment Banking)
Re: An instructor scored a student’s test of 50 questions by subtracting 2  [#permalink]

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1
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

Ans E.
Intern  Joined: 28 Jun 2011
Posts: 5
Re: An instructor scored a student’s test of 50 questions by subtracting 2  [#permalink]

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1
Total questions: 50
Score per correct: 1
Total scores:50
Scores missed:50-38=12
Incorrect:12/2=6

Therefore, number of questions students answered correctly=50-6=44
I know the OA is E. Please explain.

thanks.
Intern  Joined: 04 Aug 2011
Posts: 27
Re: An instructor scored a student’s test of 50 questions by subtracting 2  [#permalink]

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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.

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:
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

Ans E.
Manager  Joined: 04 Jun 2011
Posts: 111
Re: An instructor scored a student’s test of 50 questions by subtracting 2  [#permalink]

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if u need it the mathematical style

let c = no. of correct answers
w = no. of wrong answers.

we know total questions = 50

==> c+w = 50 => c = 50-w --------- (1)

the teacher removed 2 times wrong answers from correct answer and gave the score as 38

==> c - 2w = 38 ----------- (2)

substitute (1) in (2)

50 - w - 2w = 38 => 50 - 38 = 3 w

=> w = 4 Therefore no. of wrong ans = 4 which implies no. of right = 46, E
Intern  Joined: 02 Aug 2011
Posts: 37
Concentration: Finance, Healthcare
GMAT 1: 750 Q50 V42
GPA: 3.4
WE: Analyst (Consulting)
Re: An instructor scored a student’s test of 50 questions by subtracting 2  [#permalink]

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Student got 38 points, he had to get well over 40 correct since if he got 40 he'd have gotten only 30 points. Test 44 and 46.

44 - 2*6 = 32 --> nope
46 - 2*4 = 38 --> yay
E
Intern  Joined: 04 Aug 2011
Posts: 27
Re: An instructor scored a student’s test of 50 questions by subtracting 2  [#permalink]

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That's what I mean in my previous reply.

far257 wrote:
Student got 38 points, he had to get well over 40 correct since if he got 40 he'd have gotten only 30 points. Test 44 and 46.

44 - 2*6 = 32 --> nope
46 - 2*4 = 38 --> yay
E
Senior Manager  Joined: 01 Feb 2011
Posts: 490
Re: An instructor scored a student’s test of 50 questions by subtracting 2  [#permalink]

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1
let x be number of correct questions . => 50-x is the number of incorrect questions.

so the professor scored the questions as x + 2(50-x).

given x + 2(50-x) = 38

=> x= 46

Manager  Joined: 20 Aug 2011
Posts: 91
Re: An instructor scored a student’s test of 50 questions by subtracting 2  [#permalink]

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1
let x be no. of correct answers
since all questions are attempted

according to given conditions,

x-2*(50-x)=38
3x=138
x=46
Director  G
Joined: 09 Mar 2018
Posts: 978
Location: India
Re: An instructor scored a student’s test of 50 questions by subtracting 2  [#permalink]

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Acer86 wrote:
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

Project PS Butler : Question #73

questions by subtracting 2 times the number of incorrect answers from the number of correct answers, this means
x - 2y = 38
x + y = 50(given)

50 - y - 2y = 38
y = 4

x = 46

E
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Director  V
Joined: 24 Oct 2016
Posts: 710
GMAT 1: 670 Q46 V36 GMAT 2: 690 Q47 V38 Re: An instructor scored a student’s test of 50 questions by subtracting 2  [#permalink]

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Acer86 wrote:
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

Project PS Butler : Question #73

Let # of correct Q = C
# of incorrect Q = 50 - C

C - (50-C)*2 = 38
C - 100 + 2C = 38
3C = 138

C = 46

Manager  S
Joined: 23 Apr 2018
Posts: 160
Re: An instructor scored a student’s test of 50 questions by subtracting 2  [#permalink]

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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
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.

I find logical solutions easier to calculate. is it a good thing for a great score ? VeritasKarishma
Veritas Prep GMAT Instructor V
Joined: 16 Oct 2010
Posts: 10664
Location: Pune, India
Re: An instructor scored a student’s test of 50 questions by subtracting 2  [#permalink]

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Shrey9 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
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.

I find logical solutions easier to calculate. is it a good thing for a great score ? VeritasKarishma

If you can arrive at logical solutions quickly, it is great for GMAT.
_________________
Karishma
Veritas Prep GMAT Instructor

Non-Human User Joined: 09 Sep 2013
Posts: 15429
Re: An instructor scored a student’s test of 50 questions by subtracting 2  [#permalink]

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_________________ Re: An instructor scored a student’s test of 50 questions by subtracting 2   [#permalink] 04 Jul 2020, 04:55

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