Last visit was: 25 Apr 2024, 18:30 It is currently 25 Apr 2024, 18:30

Close
GMAT Club Daily Prep
Thank you for using the timer - this advanced tool can estimate your performance and suggest more practice questions. We have subscribed you to Daily Prep Questions via email.

Customized
for You

we will pick new questions that match your level based on your Timer History

Track
Your Progress

every week, we’ll send you an estimated GMAT score based on your performance

Practice
Pays

we will pick new questions that match your level based on your Timer History
Not interested in getting valuable practice questions and articles delivered to your email? No problem, unsubscribe here.
Close
Request Expert Reply
Confirm Cancel
SORT BY:
Date
Tags:
Show Tags
Hide Tags
Math Expert
Joined: 02 Sep 2009
Posts: 92915
Own Kudos [?]: 619034 [0]
Given Kudos: 81595
Send PM
Director
Director
Joined: 20 Feb 2015
Posts: 631
Own Kudos [?]: 712 [1]
Given Kudos: 74
Concentration: Strategy, General Management
Send PM
GMAT Club Legend
GMAT Club Legend
Joined: 19 Dec 2014
Status:GMAT Assassin/Co-Founder
Affiliations: EMPOWERgmat
Posts: 21846
Own Kudos [?]: 11666 [0]
Given Kudos: 450
Location: United States (CA)
GMAT 1: 800 Q51 V49
GRE 1: Q170 V170
Send PM
User avatar
Manager
Manager
Joined: 02 Jun 2015
Posts: 61
Own Kudos [?]: 61 [1]
Given Kudos: 14
Location: Brazil
Concentration: Entrepreneurship, General Management
GPA: 3.3
Send PM
Re: A teacher grades students’ tests by subtracting twice the number of in [#permalink]
1
Kudos
Correct = C
Incorrect = I

C + I = 100
I = 100 - C
----
C - 2I = 73
C - 2.(100 - C) = 73
C -200 + 2C = 73
3C = 273
C = 91
avatar
Intern
Intern
Joined: 27 Oct 2015
Posts: 19
Own Kudos [?]: 7 [0]
Given Kudos: 0
Send PM
Re: A teacher grades students’ tests by subtracting twice the number of in [#permalink]
Let number of correct responses be
So the number of wrong responses = 100 - x

x - 2(100 - x) = 73
x - 200 + 2x = 73
3x = 273
x = 91
RC & DI Moderator
Joined: 02 Aug 2009
Status:Math and DI Expert
Posts: 11178
Own Kudos [?]: 31933 [0]
Given Kudos: 290
Send PM
Re: A teacher grades students’ tests by subtracting twice the number of in [#permalink]
Expert Reply
Bunuel wrote:
A teacher grades students’ tests by subtracting twice the number of incorrect responses from the number of correct responses. If Student A answers each of the 100 questions on her test and receives a score of 73, how many questions did Student A answer correctly?

A. 55
B. 60
C. 73
D. 82
E. 91



total Q=100..
final score=73..
let incorrect responses = y..
the score cut out of the correct answers = 2y..
total score cut =y+2y= 3y, which is equal to 100-73=27..
so y=9..
correct answers =100-9=91..
E
Tutor
Joined: 16 Oct 2010
Posts: 14823
Own Kudos [?]: 64923 [4]
Given Kudos: 426
Location: Pune, India
Send PM
Re: A teacher grades students’ tests by subtracting twice the number of in [#permalink]
3
Kudos
1
Bookmarks
Expert Reply
Bunuel wrote:
A teacher grades students’ tests by subtracting twice the number of incorrect responses from the number of correct responses. If Student A answers each of the 100 questions on her test and receives a score of 73, how many questions did Student A answer correctly?

A. 55
B. 60
C. 73
D. 82
E. 91


Some observation can help you answer the question easily.
A score of 73 brings to mind that it is an odd number even though you are subtracting an even number (twice the incorrect responses) out of the correct responses score. So the correct responses score must be an odd number too (Odd - Even = Odd).
Since the overall score is 73, the number of correct responses must be more than 73 since the student answered all questions.
Only 91 satisfies both these conditions.

Answer (E)
Target Test Prep Representative
Joined: 14 Oct 2015
Status:Founder & CEO
Affiliations: Target Test Prep
Posts: 18761
Own Kudos [?]: 22054 [0]
Given Kudos: 283
Location: United States (CA)
Send PM
Re: A teacher grades students’ tests by subtracting twice the number of in [#permalink]
Expert Reply
Bunuel wrote:
A teacher grades students’ tests by subtracting twice the number of incorrect responses from the number of correct responses. If Student A answers each of the 100 questions on her test and receives a score of 73, how many questions did Student A answer correctly?

A. 55
B. 60
C. 73
D. 82
E. 91


We can create the following equations, in which c = the number of correct responses and w = the number of incorrect responses:

c + w = 100

w = 100 - c

and

c - 2w = 73

Substituting, we have:

c - 2(100 - c) = 73

c - 200 + 2c = 73

3c = 273

c = 91

Answer: E
User avatar
Non-Human User
Joined: 09 Sep 2013
Posts: 32680
Own Kudos [?]: 822 [0]
Given Kudos: 0
Send PM
Re: A teacher grades students’ tests by subtracting twice the number of in [#permalink]
Hello from the GMAT Club BumpBot!

Thanks to another GMAT Club member, I have just discovered this valuable topic, yet it had no discussion for over a year. I am now bumping it up - doing my job. I think you may find it valuable (esp those replies with Kudos).

Want to see all other topics I dig out? Follow me (click follow button on profile). You will receive a summary of all topics I bump in your profile area as well as via email.
GMAT Club Bot
Re: A teacher grades students’ tests by subtracting twice the number of in [#permalink]
Moderators:
Math Expert
92915 posts
Senior Moderator - Masters Forum
3137 posts

Powered by phpBB © phpBB Group | Emoji artwork provided by EmojiOne