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If only two students were to be selected for the scholarship, then Ana would have been one of them.: Ture
If Boris and Caroline were to be selected for the scholarship, then Donald would have also been selected.: False
If the minimum required score were set at 80% in each subject, then only three students would have qualified for the scholarship.: False
Be sure to select an answer first to save it in the Error Log before revealing the correct answer (OA)!
Difficulty:
95%
(hard)
Question Stats:
55% (02:47) correct
45%
(03:03)
wrong
based on 1214
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Five students from a class have been shortlisted for a scholarship based on their scores in four subjects: Math, Physics, English, and Biology. The minimum qualifying score may differ by subject, and each subject is equally weighted in the evaluation. The table below lists the scores received by each student, with a maximum possible score of 80 per subject.
For each of the following statements, select True if the statement can be verified to be true based on the information provided. Otherwise, select False.
| Students | Math | Physics | English | Biology |
|---|---|---|---|---|
| Ana | 80 | 75 | 72 | 68 |
| Boris | 75 | 75 | 71 | 67 |
| Caroline | 79 | 74 | 72 | 78 |
| Donald | 76 | 75 | 72 | 65 |
| Eva | 73 | 77 | 70 | 65 |
For each of the following statements, select True if the statement can be verified to be true based on the information provided. Otherwise, select False.
| Ture | False | |
| If only two students were to be selected for the scholarship, then Ana would have been one of them. | ||
| If Boris and Caroline were to be selected for the scholarship, then Donald would have also been selected. | ||
| If the minimum required score were set at 80% in each subject, then only three students would have qualified for the scholarship. |
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Official Answer
If only two students were to be selected for the scholarship, then Ana would have been one of them.: Ture
If Boris and Caroline were to be selected for the scholarship, then Donald would have also been selected.: False
If the minimum required score were set at 80% in each subject, then only three students would have qualified for the scholarship.: False
30 Nov 2024, 05:51
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Official Solution:
Statement 1:
Sorting by scores in each subject shows that Ana consistently had the highest or second-highest scores across all subjects. Therefore, if only two students were to be selected for the scholarship, Ana would have to be one of them. Therefore, this statement is True.
Statement 2:
In Biology, Donald had a lower score than both Boris and Caroline—65 compared to 67 and 78, respectively. If the minimum required score in Biology was 66 or 67, Donald would not qualify for the scholarship. Therefore, this statement is False.
Statement 3:
A minimum required score of 80% corresponds to a score of 64 in each subject. However, none of the students have a score below 64 in any subject. Therefore, if the minimum were set at 64, all students would qualify for the scholarship. Therefore, this statement is False.
Correct answer:
If only two students were to be selected for the scholarship, then Ana would have been one of them. "True"
If Boris and Caroline were to be selected for the scholarship, then Donald would have also been selected. "False"
If the minimum required score were set at 80% in each subject, then only three students would have qualified for the scholarship. "False"
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04 Dec 2024, 10:32
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Statement 2 solution is NOT clear.
As you have mentioned- "In Biology, Donald had a lower score than both Boris and Caroline—65 compared to 67 and 78, respectively."
But what about Math - Donald's score 76 > Boris's 75 ; In English also- Donald's score 72 > Boris's 71 and in Physics, both Donald & Boris have the same score.
So, if we compare- Boris leads only in 1 subject (Biology) while Donald leads in 2 subjects ( Math & English).
Kindly explain this answer and suggest in case I am approaching the question incorrectly??
As you have mentioned- "In Biology, Donald had a lower score than both Boris and Caroline—65 compared to 67 and 78, respectively."
But what about Math - Donald's score 76 > Boris's 75 ; In English also- Donald's score 72 > Boris's 71 and in Physics, both Donald & Boris have the same score.
So, if we compare- Boris leads only in 1 subject (Biology) while Donald leads in 2 subjects ( Math & English).
Kindly explain this answer and suggest in case I am approaching the question incorrectly??
