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03 Dec 2024, 02:29
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Students with Merit certificates: 108
Total students: 1,200
Be sure to select an answer first to save it in the Error Log before revealing the correct answer (OA)!
Difficulty:
5%
(low)
Question Stats:
82% (01:23) correct
18%
(02:18)
wrong
based on 311
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In a school, every student who scores above 90% in the final exam receives a Merit certificate. Last year, exactly 9% of the students received a Merit certificate.
In the table, select for Students with Merit certificates a value representing the number of students who could have scored above 90% last year, and select for Total students a value representing the total number of students in the school that would be jointly consistent with the given information. Make only two selections, one in each column.
In the table, select for Students with Merit certificates a value representing the number of students who could have scored above 90% last year, and select for Total students a value representing the total number of students in the school that would be jointly consistent with the given information. Make only two selections, one in each column.
| Students with Merit certificates | Total students | |
| 90 | ||
| 108 | ||
| 120 | ||
| 1,080 | ||
| 1,200 | ||
| 10,800 |
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Official Answer
Students with Merit certificates: 108
Total students: 1,200
04 Jan 2025, 05:30
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Bunuel
Official Solution:
Essentially, we are looking for a pair of options where the value in the first column is 9% of the value in the second column.
Starting with the greatest value:
9% of 10,800 is 972. Since 972 is not an option, 10,800 is eliminated.
9% of 1,200 is 108. Since 108 is an available option, Students with Merit certificates could have been 108, and Total students could have been 1,200.
Correct answer:
Students with Merit certificates "108"
Total students "1,200"
Attachment:
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General Discussion
03 Dec 2024, 12:03
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1. The students who received merit certificates are 9% of all students. This is less than 10 times.
2. We can sort the answer choices into 3 ranks based on this fact. Rank 1 - 90, 108, and 120. Rank 2 - 1080 and 1200. Rank 3 - 10800.
3. The two answers we're looking for are in consecutive ranks. Let's look at the possible answers for the total number of students:
- Rank 1. These are too small, since 10x smaller numbers aren't in the options.
- Rank 2. 1080: 108 is 10% and 90 is \(\frac{90}{1080} * 100\% = 8.33\%\), so it doesn't work. 1200: 120 is 10% and 108 is \(\frac{108}{1200} * 100\% = 9\%\), so it does work.
- Rank 3. 10800: 1080 is 10% and 1200 is more than that, so it doesn't work.
4. Our answer will be: Students with Merit certificates - 108 and Total students - 1200.
2. We can sort the answer choices into 3 ranks based on this fact. Rank 1 - 90, 108, and 120. Rank 2 - 1080 and 1200. Rank 3 - 10800.
3. The two answers we're looking for are in consecutive ranks. Let's look at the possible answers for the total number of students:
- Rank 1. These are too small, since 10x smaller numbers aren't in the options.
- Rank 2. 1080: 108 is 10% and 90 is \(\frac{90}{1080} * 100\% = 8.33\%\), so it doesn't work. 1200: 120 is 10% and 108 is \(\frac{108}{1200} * 100\% = 9\%\), so it does work.
- Rank 3. 10800: 1080 is 10% and 1200 is more than that, so it doesn't work.
4. Our answer will be: Students with Merit certificates - 108 and Total students - 1200.
