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langus91
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

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
total questions answered correctly
2x + 10 > 25
2x>15
x>7.5
so minimum x = 8
hence score = 20+4x8
= 20 + 32
= 52
= pass

hence option(c)
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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
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(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
==> Answer is E
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langus91
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

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 :)
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langus91
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

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
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langus91
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

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?
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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
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Condition: Threshold to pass the exam - 30 correct answers

Statement One: let F be first half of the test and S second part of the test

F = 10+S

Statement Two: more than half of questions were answered i.e. 26 Not Sufficient more than half can be 26, 27 , 28, 29 30 etc

Combing Both Statements - still not sufficient. Hence E :cool: :lol:

26 = 10+S+S
26 = 10+2s
2s = 16
S = 8
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Half of 50 is 25, isn't it?[/quote]

this is confusing me too. No where it is mentioned that both the half of the exam has equal number of questions.
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