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12 Nov 2024, 03:42
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Unattempted: 7
Incorrect: 4
Be sure to select an answer first to save it in the Error Log before revealing the correct answer (OA)!
Difficulty:
65%
(hard)
Question Stats:
57% (02:46) correct
43%
(02:18)
wrong
based on 35
sessions
History
Date
Time
Result
Not Attempted Yet
In an examination, the Data Insights section has 20 questions. Each correct answer awards 3 points, while each incorrect answer results in a 1-point deduction, and there is no penalty for unanswered questions. During his only attempt, Paul scored 35 points on this section.
Based on the above information, select for Unattempted the maximum number of questions that Paul could have left unanswered and for Incorrect the maximum number of questions that Paul could have answered incorrectly and still scored 35 points. Make only two selections, one in each column.
Based on the above information, select for Unattempted the maximum number of questions that Paul could have left unanswered and for Incorrect the maximum number of questions that Paul could have answered incorrectly and still scored 35 points. Make only two selections, one in each column.
| Unattempted | Incorrect | |
| 3 | ||
| 4 | ||
| 5 | ||
| 6 | ||
| 7 | ||
| 8 |
ShowHide Answer
Official Answer
Unattempted: 7
Incorrect: 4
28 Nov 2024, 23:37
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Just wanted to say thanks Bunuel for dropping such quality questions!
I just missed out "maximum"
keeping in mind like most of the regular TPA problems, I arrived at 3 and 4 thinking 13*3 + 4*-1 = 35
but NO, question was to be answered separately for max values :/
I just missed out "maximum"
keeping in mind like most of the regular TPA problems, I arrived at 3 and 4 thinking 13*3 + 4*-1 = 35
but NO, question was to be answered separately for max values :/
General Discussion
12 Nov 2024, 03:42
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Official Solution:
To maximize the number of questions that Paul could have left unanswered, we should minimize the number of correct and incorrect answers. The minimum number of questions Paul could have answered correctly to score 35 is 12. In this case, he would have earned 3 * 12 = 36 points, so he must have answered one question incorrectly to reduce the score to 35. This results in a total of 12 + 1 = 13 correct and incorrect answers, making the maximum number of unanswered questions equal to 7.
To get the maximum number of questions Paul could have answered incorrectly, let's check the options:
8 incorrect would result in -8 points, meaning 43 points would need to be gained with correct answers, which is not possible (43 is not a multiple of 3).
7 incorrect would result in -7 points, meaning 42 points would need to be gained with correct answers, requiring 14 correct answers. This is not possible because 7 + 14 > 20.
6 incorrect would result in -6 points, meaning 41 points would need to be gained with correct answers, which is not possible (41 is not a multiple of 3).
5 incorrect would result in -5 points, meaning 40 points would need to be gained with correct answers, which is not possible (40 is not a multiple of 3).
4 incorrect would result in -4 points, meaning 39 points would need to be gained with correct answers, requiring 13 correct answers. This is possible with the addition of 3 unanswered questions: 4 + 13 + 3 = 20.
Therefore, the maximum number of questions Paul could have answered incorrectly is 4.
Correct answer:
Unattempted "7"
Incorrect "4"
Bunuel
In an examination, the Data Insights section has 20 questions. Each correct answer awards 3 points, while each incorrect answer results in a 1-point deduction, and there is no penalty for unanswered questions. During his only attempt, Paul scored 35 points on this section.
Based on the above information, select for Unattempted the maximum number of questions that Paul could have left unanswered and for Incorrect the maximum number of questions that Paul could have answered incorrectly and still scored 35 points. Make only two selections, one in each column.
Based on the above information, select for Unattempted the maximum number of questions that Paul could have left unanswered and for Incorrect the maximum number of questions that Paul could have answered incorrectly and still scored 35 points. Make only two selections, one in each column.
| Unattempted | Incorrect | |
| 3 | ||
| 4 | ||
| 5 | ||
| 6 | ||
| 7 | ||
| 8 |
To maximize the number of questions that Paul could have left unanswered, we should minimize the number of correct and incorrect answers. The minimum number of questions Paul could have answered correctly to score 35 is 12. In this case, he would have earned 3 * 12 = 36 points, so he must have answered one question incorrectly to reduce the score to 35. This results in a total of 12 + 1 = 13 correct and incorrect answers, making the maximum number of unanswered questions equal to 7.
To get the maximum number of questions Paul could have answered incorrectly, let's check the options:
8 incorrect would result in -8 points, meaning 43 points would need to be gained with correct answers, which is not possible (43 is not a multiple of 3).
7 incorrect would result in -7 points, meaning 42 points would need to be gained with correct answers, requiring 14 correct answers. This is not possible because 7 + 14 > 20.
6 incorrect would result in -6 points, meaning 41 points would need to be gained with correct answers, which is not possible (41 is not a multiple of 3).
5 incorrect would result in -5 points, meaning 40 points would need to be gained with correct answers, which is not possible (40 is not a multiple of 3).
4 incorrect would result in -4 points, meaning 39 points would need to be gained with correct answers, requiring 13 correct answers. This is possible with the addition of 3 unanswered questions: 4 + 13 + 3 = 20.
Therefore, the maximum number of questions Paul could have answered incorrectly is 4.
Correct answer:
Unattempted "7"
Incorrect "4"
