It is currently 21 Nov 2017, 21:14

### 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

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

# Events & Promotions

###### Events & Promotions in June
Open Detailed Calendar

# On a certain 50-question test, each correct answer is worth

Author Message
TAGS:

### Hide Tags

Intern
Joined: 22 May 2012
Posts: 4

Kudos [?]: 1 [0], given: 2

### Show Tags

17 Feb 2013, 10:00
1
This post was
BOOKMARKED
00:00

Difficulty:

25% (medium)

Question Stats:

71% (01:24) correct 29% (01:07) wrong based on 510 sessions

### HideShow timer Statistics

On a certain 50-question test, each correct answer is worth 2 points, with no penalty for incorrect answers. If the minimum passing score on the test is 60, did Ethel pass the test?

(1) Ethel answered 10 more questions correctly on the first half of the test than on the second half
(2) Ethel answered more than half of the questions on the test correctly

[Reveal] Spoiler:
The correct answer is: Statements (1) and (2) taken TOGETHER are NOT SUFFICIENT.

---

I understand why the Statement (2) is inconclusive, however I'm struggling with the first one.

At worst she could have answered 10 questions correctly in the first part and none in the second. What about the best option?

In Kaplan they explain at best she could have answered 25 questions in the first and 15 in the second part. Why? Why not 30 and 20, respectively? It adds up to 50 questions.

Once again thank you in advance for the clarification
[Reveal] Spoiler: OA

Kudos [?]: 1 [0], given: 2

 Kaplan GMAT Prep Discount Codes Magoosh Discount Codes Jamboree Discount Codes
Manager
Status: Helping People Ace the GMAT
Joined: 16 Jan 2013
Posts: 184

Kudos [?]: 54 [0], given: 4

Location: United States
Concentration: Finance, Entrepreneurship
GMAT 1: 770 Q50 V46
GPA: 3.1
WE: Consulting (Consulting)
Re: If the minimum passing score on the test is 60... [#permalink]

### Show Tags

17 Feb 2013, 15:28
The reason she can't answer 30 correctly is that there are only 25 questions on the first half of a 50 question exam.
_________________

Want to Ace the GMAT with 1 button? Start Here:
GMAT Answers is an adaptive learning platform that will help you understand exactly what you need to do to get the score that you want.

Kudos [?]: 54 [0], given: 4

Veritas Prep GMAT Instructor
Joined: 11 Dec 2012
Posts: 313

Kudos [?]: 297 [0], given: 66

Re: On a certain 50-question test, each correct answer is worth [#permalink]

### Show Tags

22 Feb 2013, 09:26
langus91 wrote:
I've got a problem with the question below. Any help would be much appreciated!

On a certain 50-question test, each correct answer is worth 2 points, with no penalty for incorrect answers. If the minimum passing score on the test is 60, did Ethel pass the test?

(1) Ethel answered 10 more questions correctly on the first half of the test than on the second half
(2) Ethel answered more than half of the questions on the test correctly

[Reveal] Spoiler:
The correct answer is: Statements (1) and (2) taken TOGETHER are NOT SUFFICIENT.

---

I understand why the Statement (2) is inconclusive, however I'm struggling with the first one.

At worst she could have answered 10 questions correctly in the first part and none in the second. What about the best option?

In Kaplan they explain at best she could have answered 25 questions in the first and 15 in the second part. Why? Why not 30 and 20, respectively? It adds up to 50 questions.

Once again thank you in advance for the clarification

Hi langus91, you've got the logic down perfectly. Statement 1 indicates there could have been 10 correct answers in the first half and 0 in the second half, or 11-1, or 12-2, etc. So the minimum score the student could get while satisfying this equation is 20/100. Assuming more and more answers are answered correctly, we end up at 25-15 (that is, all questions correct on the first half and 60% correct on the second half, which leads to 80/100 total score.

As you indicated in your spoiler, you were unsure about a 30-20 split, which was addressed by JimGMATPrepster. However, even if you're unsure of this on test day it won't stop you from getting the correct answer as 20-10 or above will lead to a passing grade on the exam. Even putting the two conditions together, Ethel could have correctly answered questions in any of the following proportions:
18-8, (total 26/50, more than half)
19-9,
20-10,
21-11,
22-12,
23-13,
24-14,
25-15 (total 40/50, maximum score of 80/100)

The first two are failing grades, while the final five are passing grades. Hence why the answer is E. The GMAT can be a very unforgiving exam, but you can still get the right answer even if you make little conceptual mistakes like this one.

Hope this helps!
-Ron
_________________

Kudos [?]: 297 [0], given: 66

Intern
Joined: 16 Jan 2013
Posts: 23

Kudos [?]: 5 [0], given: 17

Re: On a certain 50-question test, each correct answer is worth [#permalink]

### Show Tags

25 Feb 2013, 03:38
langus91 wrote:
Hey guys,

I've got a problem with the question below. Any help would be much appreciated!

---

On a certain 50-question test, each correct answer is worth 2 points, with no penalty for incorrect answers. If the minimum passing score on the test is 60, did Ethel pass the test?

(1) Ethel answered 10 more questions correctly on the first half of the test than on the second half
(2) Ethel answered more than half of the questions on the test correctly

[Reveal] Spoiler:
The correct answer is: Statements (1) and (2) taken TOGETHER are NOT SUFFICIENT.

---

I understand why the Statement (2) is inconclusive, however I'm struggling with the first one.

At worst she could have answered 10 questions correctly in the first part and none in the second. What about the best option?

In Kaplan they explain at best she could have answered 25 questions in the first and 15 in the second part. Why? Why not 30 and 20, respectively? It adds up to 50 questions.

Once again thank you in advance for the clarification

case(1) let no. of questions answered in 2nd half is x
so questions answered in 1st half are x + 10
score = 2(x + x+10) = 20 +4x....nothing can be said

case 2 ...not sufficient..as total correctly answred can be 26, 27,.......50

using both case 1 and case 2
2x + 10 > 25
2x>15
x>7.5
so minimum x = 8
hence score = 20+4x8
= 20 + 32
= 52
= pass

hence option(c)

Kudos [?]: 5 [0], given: 17

Veritas Prep GMAT Instructor
Joined: 11 Dec 2012
Posts: 313

Kudos [?]: 297 [0], given: 66

Re: On a certain 50-question test, each correct answer is worth [#permalink]

### Show Tags

25 Feb 2013, 08:18
Hi jbishit, your analysis is correct, however the passing grade is 60. Putting the two conditions together, Ethel got either 52, 56, 60, 64, 68, 72, 76 or 80 on the test. 2 fails and 6 passes. This is classic insufficiency as we have possible answers on both sides of the minimum passing grade. It can't be (C).

Hope this helps!
-Ron
_________________

Kudos [?]: 297 [0], given: 66

Intern
Joined: 08 Dec 2012
Posts: 7

Kudos [?]: 7 [0], given: 10

Re: On a certain 50-question test, each correct answer is worth [#permalink]

### Show Tags

26 Feb 2013, 20:00
(1) insufficient: more than 10 questions of the first half, but not sure of the second half
(2) insufficient: more than a half of questions, may be 26, 27, 28, 29 questions, the results are not higher than 60 --> cannot pass
(1) + (2) insufficient

Kudos [?]: 7 [0], given: 10

Current Student
Joined: 06 Sep 2013
Posts: 1970

Kudos [?]: 743 [0], given: 355

Concentration: Finance
Re: On a certain 50-question test, each correct answer is worth [#permalink]

### Show Tags

29 Dec 2013, 16:42
langus91 wrote:
Hey guys,

I've got a problem with the question below. Any help would be much appreciated!

---

On a certain 50-question test, each correct answer is worth 2 points, with no penalty for incorrect answers. If the minimum passing score on the test is 60, did Ethel pass the test?

(1) Ethel answered 10 more questions correctly on the first half of the test than on the second half
(2) Ethel answered more than half of the questions on the test correctly

[Reveal] Spoiler:
The correct answer is: Statements (1) and (2) taken TOGETHER are NOT SUFFICIENT.

---

I understand why the Statement (2) is inconclusive, however I'm struggling with the first one.

At worst she could have answered 10 questions correctly in the first part and none in the second. What about the best option?

In Kaplan they explain at best she could have answered 25 questions in the first and 15 in the second part. Why? Why not 30 and 20, respectively? It adds up to 50 questions.

Once again thank you in advance for the clarification

This too should be pretty straightforward

Let's see what question stem says

It says there are 50 questions, you need to answer at least 30 to pass and you get 2 points for each correct answer, while no penalties for incorrect answers

Did she pass the test?

1) She answered 10 more correct on the second half than on the first half

So first half is 25 questions of course, let's try picking some numbers to proof this statement

First option she answered 1 correctly in the first half and 11 correctly on the second half, she failed the test
Second option she answered 15 correctly in the first half and 25 correctly on the second half, she passed the test

Hence, Insuff

2) She answered more than 25 questions correctly

Obviously insuff

(1) + (2)

Choices now incorporating second statement could be

She answered 8 correctly in first half and 18 correctly on second half, 26 total she failed
She answered 10 correctly in first half and 20 correctly on the second half, 30 total she passed

Hence E

Hope it helps
Consider providing Kudos if you find it easy to follow

Cheers!
J

Kudos [?]: 743 [0], given: 355

Senior Manager
Joined: 28 Apr 2014
Posts: 272

Kudos [?]: 40 [0], given: 46

Re: On a certain 50-question test, each correct answer is worth [#permalink]

### Show Tags

08 May 2014, 06:02
jlgdr wrote:
langus91 wrote:
Hey guys,

I've got a problem with the question below. Any help would be much appreciated!

---

On a certain 50-question test, each correct answer is worth 2 points, with no penalty for incorrect answers. If the minimum passing score on the test is 60, did Ethel pass the test?

(1) Ethel answered 10 more questions correctly on the first half of the test than on the second half
(2) Ethel answered more than half of the questions on the test correctly

[Reveal] Spoiler:
The correct answer is: Statements (1) and (2) taken TOGETHER are NOT SUFFICIENT.

---

I understand why the Statement (2) is inconclusive, however I'm struggling with the first one.

At worst she could have answered 10 questions correctly in the first part and none in the second. What about the best option?

In Kaplan they explain at best she could have answered 25 questions in the first and 15 in the second part. Why? Why not 30 and 20, respectively? It adds up to 50 questions.

Once again thank you in advance for the clarification

This too should be pretty straightforward

Let's see what question stem says

It says there are 50 questions, you need to answer at least 30 to pass and you get 2 points for each correct answer, while no penalties for incorrect answers

Did she pass the test?

1) She answered 10 more correct on the second half than on the first half

So first half is 25 questions of course, let's try picking some numbers to proof this statement

First option she answered 1 correctly in the first half and 11 correctly on the second half, she failed the test
Second option she answered 15 correctly in the first half and 25 correctly on the second half, she passed the test

Hence, Insuff

2) She answered more than 25 questions correctly

Obviously insuff

(1) + (2)

Choices now incorporating second statement could be

She answered 8 correctly in first half and 18 correctly on second half, 26 total she failed
She answered 10 correctly in first half and 20 correctly on the second half, 30 total she passed

Hence E

Hope it helps
Consider providing Kudos if you find it easy to follow

Cheers!
J

Can we take this assumption ? I mean it is not explicitly specified

Kudos [?]: 40 [0], given: 46

Math Expert
Joined: 02 Sep 2009
Posts: 42287

Kudos [?]: 132984 [0], given: 12397

Re: On a certain 50-question test, each correct answer is worth [#permalink]

### Show Tags

08 May 2014, 08:07
himanshujovi wrote:
jlgdr wrote:
langus91 wrote:
Hey guys,

I've got a problem with the question below. Any help would be much appreciated!

---

On a certain 50-question test, each correct answer is worth 2 points, with no penalty for incorrect answers. If the minimum passing score on the test is 60, did Ethel pass the test?

(1) Ethel answered 10 more questions correctly on the first half of the test than on the second half
(2) Ethel answered more than half of the questions on the test correctly

[Reveal] Spoiler:
The correct answer is: Statements (1) and (2) taken TOGETHER are NOT SUFFICIENT.

---

I understand why the Statement (2) is inconclusive, however I'm struggling with the first one.

At worst she could have answered 10 questions correctly in the first part and none in the second. What about the best option?

In Kaplan they explain at best she could have answered 25 questions in the first and 15 in the second part. Why? Why not 30 and 20, respectively? It adds up to 50 questions.

Once again thank you in advance for the clarification

This too should be pretty straightforward

Let's see what question stem says

It says there are 50 questions, you need to answer at least 30 to pass and you get 2 points for each correct answer, while no penalties for incorrect answers

Did she pass the test?

1) She answered 10 more correct on the second half than on the first half

So first half is 25 questions of course, let's try picking some numbers to proof this statement

First option she answered 1 correctly in the first half and 11 correctly on the second half, she failed the test
Second option she answered 15 correctly in the first half and 25 correctly on the second half, she passed the test

Hence, Insuff

2) She answered more than 25 questions correctly

Obviously insuff

(1) + (2)

Choices now incorporating second statement could be

She answered 8 correctly in first half and 18 correctly on second half, 26 total she failed
She answered 10 correctly in first half and 20 correctly on the second half, 30 total she passed

Hence E

Hope it helps
Consider providing Kudos if you find it easy to follow

Cheers!
J

Can we take this assumption ? I mean it is not explicitly specified

Half of 50 is 25, isn't it?
_________________

Kudos [?]: 132984 [0], given: 12397

Manager
Joined: 09 Nov 2013
Posts: 87

Kudos [?]: 14 [0], given: 30

Re: On a certain 50-question test, each correct answer is worth [#permalink]

### Show Tags

09 May 2014, 14:10
stat#1: says if x questions answered rightly on second half then x+10 answered rightly on the first half . X could be anything including 0. So insuff

Stat#2: the number of questions answered rightly > 25, so insuff as it could be 26,27,28...

Stat#1 + stat#2: x+10+x>p where p>25 => 2x>p-10 => x>(p-10)/2 where x and p are positive integers .It give both below and above 60 range so insuff

Kudos [?]: 14 [0], given: 30

Non-Human User
Joined: 09 Sep 2013
Posts: 15580

Kudos [?]: 283 [0], given: 0

Re: On a certain 50-question test, each correct answer is worth [#permalink]

### Show Tags

13 Jun 2015, 21:42
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.
_________________

Kudos [?]: 283 [0], given: 0

Re: On a certain 50-question test, each correct answer is worth   [#permalink] 13 Jun 2015, 21:42
Display posts from previous: Sort by