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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
(2) Ethel answered more than half of the questions on the test correctly
- a)Statement (1) ALONE is sufficient, but statement (2) alone is not sufficient to answer the question asked
- b)Statement (2) ALONE is sufficient, but statement (1) alone is not sufficient to answer the question asked
- c)BOTH statements (1) and (2) TOGETHER are sufficient to answer the question asked, but NEITHER statement ALONE is sufficient
- d)EACH statement ALONE is sufficient to answer the question asked
- e)Statements (1) and (2) TOGETHER are NOT sufficient to answer the question asked, and additional data are needed
Correct answer is option 'C'. Can you explain this answer?
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Verified Answer
On a certain 50-question test, each correct answer is worth 2 points, ...
Statement (1): Ethel answered 10 more questions correctly on the first half of the test than on the second half.
This statement provides information about Ethel's performance on different halves of the test. However, it doesn't give us any specific information about the number of questions she answered correctly overall. Therefore, statement (1) alone is not sufficient to determine whether Ethel passed the test.
Statement (2): Ethel answered more than half of the questions on the test correctly.
This statement tells us that Ethel answered more than half of the questions correctly. However, it doesn't provide us with the exact number of questions or the total score. Therefore, statement (2) alone is not sufficient to determine whether Ethel passed the test.
When we consider both statements together, we can deduce the following:
If Ethel answered 10 more questions correctly on the first half than on the second half, it implies that she answered at least 10 questions correctly on the first half. Let's say she answered x questions correctly on the second half. In that case, she answered x + 10 questions correctly on the first half. Since the total number of questions is 50, Ethel answered a total of (x + 10) + x = 2x + 10 questions correctly.
Now, statement (2) tells us that Ethel answered more than half of the questions correctly. So, 2x + 10 > 50/2, which simplifies to 2x + 10 > 25.
Subtracting 10 from both sides of the inequality gives us 2x > 15. Dividing both sides by 2, we get x > 7.5.
Since x represents the number of questions Ethel answered correctly on the second half, it must be a whole number. Therefore, x can be at least 8.
If x is 8, then Ethel answered (8 + 10) + 8 = 26 questions correctly in total, resulting in a score of 52 points (26 * 2). This score is below the passing score of 60. Therefore, Ethel did not pass the test.
If x is greater than 8, the total score would be even lower, further confirming that Ethel did not pass the test.
Therefore, both statements together are sufficient to determine that Ethel did not pass the test. Hence, the answer is (C) BOTH statements (1) and (2) TOGETHER are sufficient to answer the question asked, but NEITHER statement ALONE is sufficient.
Most Upvoted Answer
On a certain 50-question test, each correct answer is worth 2 points, ...
Statement (1): Ethel answered 10 more questions correctly on the first half of the test than on the second half.
This statement provides information about Ethel's performance on different halves of the test. However, it doesn't give us any specific information about the number of questions she answered correctly overall. Therefore, statement (1) alone is not sufficient to determine whether Ethel passed the test.
Statement (2): Ethel answered more than half of the questions on the test correctly.
This statement tells us that Ethel answered more than half of the questions correctly. However, it doesn't provide us with the exact number of questions or the total score. Therefore, statement (2) alone is not sufficient to determine whether Ethel passed the test.
When we consider both statements together, we can deduce the following:
If Ethel answered 10 more questions correctly on the first half than on the second half, it implies that she answered at least 10 questions correctly on the first half. Let's say she answered x questions correctly on the second half. In that case, she answered x + 10 questions correctly on the first half. Since the total number of questions is 50, Ethel answered a total of (x + 10) + x = 2x + 10 questions correctly.
Now, statement (2) tells us that Ethel answered more than half of the questions correctly. So, 2x + 10 > 50/2, which simplifies to 2x + 10 > 25.
Subtracting 10 from both sides of the inequality gives us 2x > 15. Dividing both sides by 2, we get x > 7.5.
Since x represents the number of questions Ethel answered correctly on the second half, it must be a whole number. Therefore, x can be at least 8.
If x is 8, then Ethel answered (8 + 10) + 8 = 26 questions correctly in total, resulting in a score of 52 points (26 * 2). This score is below the passing score of 60. Therefore, Ethel did not pass the test.
If x is greater than 8, the total score would be even lower, further confirming that Ethel did not pass the test.
Therefore, both statements together are sufficient to determine that Ethel did not pass the test. Hence, the answer is (C) BOTH statements (1) and (2) TOGETHER are sufficient to answer the question asked, but NEITHER statement ALONE is sufficient.
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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 correctlya)Statement (1) ALONE is sufficient, but statement (2) alone is not sufficient to answer the question askedb)Statement (2) ALONE is sufficient, but statement (1) alone is not sufficient to answer the question askedc)BOTH statements (1) and (2) TOGETHER are sufficient to answer the question asked, but NEITHER statement ALONE is sufficientd)EACH statement ALONE is sufficient to answer the question askede)Statements (1) and (2) TOGETHER are NOT sufficient to answer the question asked, and additional data are neededCorrect answer is option 'C'. Can you explain this answer?
Question Description
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 correctlya)Statement (1) ALONE is sufficient, but statement (2) alone is not sufficient to answer the question askedb)Statement (2) ALONE is sufficient, but statement (1) alone is not sufficient to answer the question askedc)BOTH statements (1) and (2) TOGETHER are sufficient to answer the question asked, but NEITHER statement ALONE is sufficientd)EACH statement ALONE is sufficient to answer the question askede)Statements (1) and (2) TOGETHER are NOT sufficient to answer the question asked, and additional data are neededCorrect answer is option 'C'. Can you explain this answer? for GMAT 2024 is part of GMAT preparation. The Question and answers have been prepared according to the GMAT exam syllabus. Information about 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 correctlya)Statement (1) ALONE is sufficient, but statement (2) alone is not sufficient to answer the question askedb)Statement (2) ALONE is sufficient, but statement (1) alone is not sufficient to answer the question askedc)BOTH statements (1) and (2) TOGETHER are sufficient to answer the question asked, but NEITHER statement ALONE is sufficientd)EACH statement ALONE is sufficient to answer the question askede)Statements (1) and (2) TOGETHER are NOT sufficient to answer the question asked, and additional data are neededCorrect answer is option 'C'. Can you explain this answer? covers all topics & solutions for GMAT 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for 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 correctlya)Statement (1) ALONE is sufficient, but statement (2) alone is not sufficient to answer the question askedb)Statement (2) ALONE is sufficient, but statement (1) alone is not sufficient to answer the question askedc)BOTH statements (1) and (2) TOGETHER are sufficient to answer the question asked, but NEITHER statement ALONE is sufficientd)EACH statement ALONE is sufficient to answer the question askede)Statements (1) and (2) TOGETHER are NOT sufficient to answer the question asked, and additional data are neededCorrect answer is option 'C'. Can you explain this answer?.
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 correctlya)Statement (1) ALONE is sufficient, but statement (2) alone is not sufficient to answer the question askedb)Statement (2) ALONE is sufficient, but statement (1) alone is not sufficient to answer the question askedc)BOTH statements (1) and (2) TOGETHER are sufficient to answer the question asked, but NEITHER statement ALONE is sufficientd)EACH statement ALONE is sufficient to answer the question askede)Statements (1) and (2) TOGETHER are NOT sufficient to answer the question asked, and additional data are neededCorrect answer is option 'C'. Can you explain this answer? for GMAT 2024 is part of GMAT preparation. The Question and answers have been prepared according to the GMAT exam syllabus. Information about 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 correctlya)Statement (1) ALONE is sufficient, but statement (2) alone is not sufficient to answer the question askedb)Statement (2) ALONE is sufficient, but statement (1) alone is not sufficient to answer the question askedc)BOTH statements (1) and (2) TOGETHER are sufficient to answer the question asked, but NEITHER statement ALONE is sufficientd)EACH statement ALONE is sufficient to answer the question askede)Statements (1) and (2) TOGETHER are NOT sufficient to answer the question asked, and additional data are neededCorrect answer is option 'C'. Can you explain this answer? covers all topics & solutions for GMAT 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for 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 correctlya)Statement (1) ALONE is sufficient, but statement (2) alone is not sufficient to answer the question askedb)Statement (2) ALONE is sufficient, but statement (1) alone is not sufficient to answer the question askedc)BOTH statements (1) and (2) TOGETHER are sufficient to answer the question asked, but NEITHER statement ALONE is sufficientd)EACH statement ALONE is sufficient to answer the question askede)Statements (1) and (2) TOGETHER are NOT sufficient to answer the question asked, and additional data are neededCorrect answer is option 'C'. Can you explain this answer?.
Solutions for 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 correctlya)Statement (1) ALONE is sufficient, but statement (2) alone is not sufficient to answer the question askedb)Statement (2) ALONE is sufficient, but statement (1) alone is not sufficient to answer the question askedc)BOTH statements (1) and (2) TOGETHER are sufficient to answer the question asked, but NEITHER statement ALONE is sufficientd)EACH statement ALONE is sufficient to answer the question askede)Statements (1) and (2) TOGETHER are NOT sufficient to answer the question asked, and additional data are neededCorrect answer is option 'C'. Can you explain this answer? in English & in Hindi are available as part of our courses for GMAT.
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ample number of questions to practice 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 correctlya)Statement (1) ALONE is sufficient, but statement (2) alone is not sufficient to answer the question askedb)Statement (2) ALONE is sufficient, but statement (1) alone is not sufficient to answer the question askedc)BOTH statements (1) and (2) TOGETHER are sufficient to answer the question asked, but NEITHER statement ALONE is sufficientd)EACH statement ALONE is sufficient to answer the question askede)Statements (1) and (2) TOGETHER are NOT sufficient to answer the question asked, and additional data are neededCorrect answer is option 'C'. Can you explain this answer? tests, examples and also practice GMAT tests.
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