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What percent of the students at Jefferson High School study French but not Spanish?
(1) 30% of all students at Jefferson High School study French.
(2) 40% of all students at Jefferson High School do not study Spanish.
(1) 30% of all students at Jefferson High School study French.
(2) 40% of all students at Jefferson High School do not study Spanish.
- a)Statement ( 1 ) ALONE is sufficient but statement ( 2 ) alone is not sufficient.
- b)Statemrnt ( 2 ) ALONE is sufficient but statement ( 1 ) is not sufficient
- c)Both Stement TOGETHER are sufficient, but Neither statement ALONE is sufficient
- d)EACH stetement ALONE is sufficient
- e)Statement ( 1 ) and ( 2 ) TOGETHER are NOT Sufficient.
Correct answer is option 'E'. Can you explain this answer?
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Verified Answer
What percent of the students at Jefferson High School study French but...
This is an overlapping sets problem. This question can be effectively solved with a double-set matrix composed of two overlapping sets: [Spanish/Not Spanish] and [French/Not French]. When constructing a double-set matrix, remember that the two categories adjacent to each other must be mutually exclusive, i.e. [French/not French] are mutually exclusive, but [French/not Spanish] are not mutually exclusive. Following these rules, let’s construct and fill in a double-set matrix for each statement. To simplify our work with percentages, we will also pick 100 for the total number of students at Jefferson High School.
INSUFFICIENT: While we know the percentage of students who take French and, from that information, the percentage of students who do not take French, we do not know anything about the students taking Spanish. Therefore we don't know the percentage of students who study French but not Spanish, i.e. the number in the target cell denoted with x.
(2) INSUFFICIENT: While we know the percentage of students who do not take Spanish and, from that information, the percentage of students who do take Spanish, we do not know anything about the students taking French. Therefore we don't know the percentage of students who study French but not Spanish, i.e. the number in the target cell denoted with x.
AND (2) INSUFFICIENT: Even after we combine the two statements, we do not have sufficient information to find the percentage of students who study French but not Spanish, i.e. to fill in the target cell denoted with x.
The correct answer is E.
INSUFFICIENT: While we know the percentage of students who take French and, from that information, the percentage of students who do not take French, we do not know anything about the students taking Spanish. Therefore we don't know the percentage of students who study French but not Spanish, i.e. the number in the target cell denoted with x.
(2) INSUFFICIENT: While we know the percentage of students who do not take Spanish and, from that information, the percentage of students who do take Spanish, we do not know anything about the students taking French. Therefore we don't know the percentage of students who study French but not Spanish, i.e. the number in the target cell denoted with x.
AND (2) INSUFFICIENT: Even after we combine the two statements, we do not have sufficient information to find the percentage of students who study French but not Spanish, i.e. to fill in the target cell denoted with x.
The correct answer is E.Most Upvoted Answer
What percent of the students at Jefferson High School study French but...
Statement 1: 30% of all students at Jefferson High School study French.
Statement 2: 40% of all students at Jefferson High School do not study Spanish.
To find the percent of students who study French but not Spanish, we need to determine the number of students who study French and subtract the number of students who study both French and Spanish.
Analysis of Statement 1:
Statement 1 tells us that 30% of all students study French. However, it does not provide any information about the students who study Spanish. We cannot determine the number of students who study French but not Spanish based on this statement alone.
Analysis of Statement 2:
Statement 2 tells us that 40% of all students do not study Spanish. However, it does not provide any information about the students who study French. We cannot determine the number of students who study French but not Spanish based on this statement alone.
Combining the Statements:
Combining the statements, we know that 30% of all students study French and 40% of all students do not study Spanish. However, we still do not have enough information to determine the number of students who study French but not Spanish.
For example, it is possible that all students who study French also study Spanish, in which case the percent of students who study French but not Spanish would be 0%. On the other hand, it is also possible that none of the students who study French also study Spanish, in which case the percent of students who study French but not Spanish would be 30%.
Conclusion:
Neither statement alone nor the statements combined provide enough information to determine the percent of students who study French but not Spanish. Therefore, the correct answer is option E: Statement (1) and (2) together are not sufficient to answer the question.
Statement 2: 40% of all students at Jefferson High School do not study Spanish.
To find the percent of students who study French but not Spanish, we need to determine the number of students who study French and subtract the number of students who study both French and Spanish.
Analysis of Statement 1:
Statement 1 tells us that 30% of all students study French. However, it does not provide any information about the students who study Spanish. We cannot determine the number of students who study French but not Spanish based on this statement alone.
Analysis of Statement 2:
Statement 2 tells us that 40% of all students do not study Spanish. However, it does not provide any information about the students who study French. We cannot determine the number of students who study French but not Spanish based on this statement alone.
Combining the Statements:
Combining the statements, we know that 30% of all students study French and 40% of all students do not study Spanish. However, we still do not have enough information to determine the number of students who study French but not Spanish.
For example, it is possible that all students who study French also study Spanish, in which case the percent of students who study French but not Spanish would be 0%. On the other hand, it is also possible that none of the students who study French also study Spanish, in which case the percent of students who study French but not Spanish would be 30%.
Conclusion:
Neither statement alone nor the statements combined provide enough information to determine the percent of students who study French but not Spanish. Therefore, the correct answer is option E: Statement (1) and (2) together are not sufficient to answer the question.
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What percent of the students at Jefferson High School study French but not Spanish?(1) 30% of all students at Jefferson High School study French.(2) 40% of all students at Jefferson High School do not study Spanish.a)Statement ( 1 ) ALONE is sufficient but statement ( 2 ) alone is not sufficient.b)Statemrnt ( 2 ) ALONE is sufficient but statement ( 1 ) is not sufficientc)Both Stement TOGETHER are sufficient, but Neither statement ALONE is sufficientd)EACH stetement ALONE is sufficiente)Statement ( 1 ) and ( 2 ) TOGETHER are NOT Sufficient.Correct answer is option 'E'. Can you explain this answer?
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What percent of the students at Jefferson High School study French but not Spanish?(1) 30% of all students at Jefferson High School study French.(2) 40% of all students at Jefferson High School do not study Spanish.a)Statement ( 1 ) ALONE is sufficient but statement ( 2 ) alone is not sufficient.b)Statemrnt ( 2 ) ALONE is sufficient but statement ( 1 ) is not sufficientc)Both Stement TOGETHER are sufficient, but Neither statement ALONE is sufficientd)EACH stetement ALONE is sufficiente)Statement ( 1 ) and ( 2 ) TOGETHER are NOT Sufficient.Correct answer is option 'E'. 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 What percent of the students at Jefferson High School study French but not Spanish?(1) 30% of all students at Jefferson High School study French.(2) 40% of all students at Jefferson High School do not study Spanish.a)Statement ( 1 ) ALONE is sufficient but statement ( 2 ) alone is not sufficient.b)Statemrnt ( 2 ) ALONE is sufficient but statement ( 1 ) is not sufficientc)Both Stement TOGETHER are sufficient, but Neither statement ALONE is sufficientd)EACH stetement ALONE is sufficiente)Statement ( 1 ) and ( 2 ) TOGETHER are NOT Sufficient.Correct answer is option 'E'. Can you explain this answer? covers all topics & solutions for GMAT 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for What percent of the students at Jefferson High School study French but not Spanish?(1) 30% of all students at Jefferson High School study French.(2) 40% of all students at Jefferson High School do not study Spanish.a)Statement ( 1 ) ALONE is sufficient but statement ( 2 ) alone is not sufficient.b)Statemrnt ( 2 ) ALONE is sufficient but statement ( 1 ) is not sufficientc)Both Stement TOGETHER are sufficient, but Neither statement ALONE is sufficientd)EACH stetement ALONE is sufficiente)Statement ( 1 ) and ( 2 ) TOGETHER are NOT Sufficient.Correct answer is option 'E'. Can you explain this answer?.
What percent of the students at Jefferson High School study French but not Spanish?(1) 30% of all students at Jefferson High School study French.(2) 40% of all students at Jefferson High School do not study Spanish.a)Statement ( 1 ) ALONE is sufficient but statement ( 2 ) alone is not sufficient.b)Statemrnt ( 2 ) ALONE is sufficient but statement ( 1 ) is not sufficientc)Both Stement TOGETHER are sufficient, but Neither statement ALONE is sufficientd)EACH stetement ALONE is sufficiente)Statement ( 1 ) and ( 2 ) TOGETHER are NOT Sufficient.Correct answer is option 'E'. 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 What percent of the students at Jefferson High School study French but not Spanish?(1) 30% of all students at Jefferson High School study French.(2) 40% of all students at Jefferson High School do not study Spanish.a)Statement ( 1 ) ALONE is sufficient but statement ( 2 ) alone is not sufficient.b)Statemrnt ( 2 ) ALONE is sufficient but statement ( 1 ) is not sufficientc)Both Stement TOGETHER are sufficient, but Neither statement ALONE is sufficientd)EACH stetement ALONE is sufficiente)Statement ( 1 ) and ( 2 ) TOGETHER are NOT Sufficient.Correct answer is option 'E'. Can you explain this answer? covers all topics & solutions for GMAT 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for What percent of the students at Jefferson High School study French but not Spanish?(1) 30% of all students at Jefferson High School study French.(2) 40% of all students at Jefferson High School do not study Spanish.a)Statement ( 1 ) ALONE is sufficient but statement ( 2 ) alone is not sufficient.b)Statemrnt ( 2 ) ALONE is sufficient but statement ( 1 ) is not sufficientc)Both Stement TOGETHER are sufficient, but Neither statement ALONE is sufficientd)EACH stetement ALONE is sufficiente)Statement ( 1 ) and ( 2 ) TOGETHER are NOT Sufficient.Correct answer is option 'E'. Can you explain this answer?.
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