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27 May 2020, 00:56
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E
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Difficulty:
25%
(medium)
Question Stats:
73% (01:30) correct
27%
(01:48)
wrong
based on 366
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A teacher separated his students into three groups: successful, borderline successful, and unsuccessful. Sixty percent of the teacher’s students were placed in the first category, fifteen percent were placed in the second category, and twenty-five percent were placed in the third category; the teacher concluded that most of his students were successful.
In order for the teacher’s conclusion to be logically correct, it is necessary to assume that?
A) A student who is not in the top sixty percent of the class is not successful
B) Students in this teacher’s class are more likely to be successful than are most other students
C) Students in classes in which only the top thirty percent are categorized as successful are more likely to succeed in a non-academic setting than are students in this teacher’s class
D) Students are more likely to be successful than unsuccessful
E) It is possible to categorize students accurately as being successful, borderline successful, or unsuccessful
In order for the teacher’s conclusion to be logically correct, it is necessary to assume that?
A) A student who is not in the top sixty percent of the class is not successful
B) Students in this teacher’s class are more likely to be successful than are most other students
C) Students in classes in which only the top thirty percent are categorized as successful are more likely to succeed in a non-academic setting than are students in this teacher’s class
D) Students are more likely to be successful than unsuccessful
E) It is possible to categorize students accurately as being successful, borderline successful, or unsuccessful
27 May 2020, 01:10
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A) Not true. If a student belongs to the group of "borderline successful" then he or she is not "not successful".
B) Too broad statement. This may have been true if the second part of the statement (..than are most other students) is removed.
C) Irrelevant. "Non academic setting" is not discussed in the passage.
D) Generic statement. Only the students of a particular teacher are discussed. Statement D makes a general statement about all students.
E) Correct. If the students cannot be segregated into the three categories, then the teacher's conclusion will be weakened .
Answer E.
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B) Too broad statement. This may have been true if the second part of the statement (..than are most other students) is removed.
C) Irrelevant. "Non academic setting" is not discussed in the passage.
D) Generic statement. Only the students of a particular teacher are discussed. Statement D makes a general statement about all students.
E) Correct. If the students cannot be segregated into the three categories, then the teacher's conclusion will be weakened .
Answer E.
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31 May 2020, 01:46
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The correct answer is option E.
Understanding the passage
- A teacher separated his students into 3 groups:
1. Successful (60%)
2. Borderline successful (15%)
3. Unsuccessful (25%)
- Conclusion by teacher: Most of his students were successful
Logic: Most (>50%) of students as per the teacher fell into the bucket called "Successful" (60% as per the passage).
Question Stem: In order for the teacher’s conclusion to be logically correct, it is necessary to assume that?
i.e. find the assumption made by the teacher in drawing his conclusion
Pre-Thinking
In what scenario would most of the students not actually be successful?
Given that as per the categorisation by the teacher, >50% of students (60%) fall into the "Successful" bucket.
Condition: What if this categorisation done by the teacher is not really accurate? Or what if it is not really possible to make such a categorisation? The fundamental assumption being made by the teacher is that his categorisation is accurate.
Assumption: The categorisation of students done by the teacher is accurate
Option Choice Analysis
A) A student who is not in the top sixty percent of the class is not successful
Interesting answer choice. Lets negate and check.
Negation: A student who is not in the top 60% percent is successful. This means the remaining 40% (15% + 25%) of students are definitely successful. Now, we do not know how many students from the 60% bucket are successful. It is possible that many of these students are also successful, such that total % of successful students will be greater than 50%. In this case, the conclusion will still hold true. Hence, the negation will not definitely break the conclusion, Hence, this is not the correct assumption.
B) Students in this teacher’s class are more likely to be successful than are most other students
Irrelevant. This argument is specific to success of this teacher's students. Success of other students is not relevant.
C) Students in classes in which only the top thirty percent are categorized as successful are more likely to succeed in a non-academic setting than are students in this teacher’s class
Out of the scope of this argument.
D) Students are more likely to be successful than unsuccessful
This is a generic statement about students in general. This may or may not apply to this teacher's students.
E) It is possible to categorize students accurately as being successful, borderline successful, or unsuccessful
This is in line with our pre-thinking, though expressed differently. This option says that accurate categorisation is possible.
Negation: It is not possible to categorise students accurately as successful, borderline or unsuccessful. This means the teacher's categorisation is inaccurate. In which case, his conclusion breaks.
Hope this helps.
Understanding the passage
- A teacher separated his students into 3 groups:
1. Successful (60%)
2. Borderline successful (15%)
3. Unsuccessful (25%)
- Conclusion by teacher: Most of his students were successful
Logic: Most (>50%) of students as per the teacher fell into the bucket called "Successful" (60% as per the passage).
Question Stem: In order for the teacher’s conclusion to be logically correct, it is necessary to assume that?
i.e. find the assumption made by the teacher in drawing his conclusion
Pre-Thinking
In what scenario would most of the students not actually be successful?
Given that as per the categorisation by the teacher, >50% of students (60%) fall into the "Successful" bucket.
Condition: What if this categorisation done by the teacher is not really accurate? Or what if it is not really possible to make such a categorisation? The fundamental assumption being made by the teacher is that his categorisation is accurate.
Assumption: The categorisation of students done by the teacher is accurate
Option Choice Analysis
A) A student who is not in the top sixty percent of the class is not successful
Interesting answer choice. Lets negate and check.
Negation: A student who is not in the top 60% percent is successful. This means the remaining 40% (15% + 25%) of students are definitely successful. Now, we do not know how many students from the 60% bucket are successful. It is possible that many of these students are also successful, such that total % of successful students will be greater than 50%. In this case, the conclusion will still hold true. Hence, the negation will not definitely break the conclusion, Hence, this is not the correct assumption.
B) Students in this teacher’s class are more likely to be successful than are most other students
Irrelevant. This argument is specific to success of this teacher's students. Success of other students is not relevant.
C) Students in classes in which only the top thirty percent are categorized as successful are more likely to succeed in a non-academic setting than are students in this teacher’s class
Out of the scope of this argument.
D) Students are more likely to be successful than unsuccessful
This is a generic statement about students in general. This may or may not apply to this teacher's students.
E) It is possible to categorize students accurately as being successful, borderline successful, or unsuccessful
This is in line with our pre-thinking, though expressed differently. This option says that accurate categorisation is possible.
Negation: It is not possible to categorise students accurately as successful, borderline or unsuccessful. This means the teacher's categorisation is inaccurate. In which case, his conclusion breaks.
Hope this helps.
