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
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