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If all of the students at FDR High School take either French or Spanish as a foreign language, how many female students took Spanish?
(1) Of the 400 students, females account for 60% of the student body and three-fourths of the total number of French students.
(2) Of the 400 students, twice as many females as males take Spanish, and three-fourths of the 160 French students are female.
  • a)
    Statement (1) ALONE is sufficient, but statement (2) alone is not sufficient to answer the question asked
  • b)
    Statement (2) ALONE is sufficient, but statement (1) alone is not sufficient to answer the question asked
  • c)
    BOTH statements (1) and (2) TOGETHER are sufficient to answer the question asked, but NEITHER statement ALONE is sufficient
  • d)
    EACH statement ALONE is sufficient to answer the question asked
  • e)
    Statements (1) and (2) TOGETHER are NOT sufficient to answer the question asked, and additional data are needed
Correct answer is option 'B'. Can you explain this answer?
Most Upvoted Answer
If all of the students at FDR High School take either French or Spanis...
Statement (1): Of the 400 students, females account for 60% of the student body and three-fourths of the total number of French students.
- This statement tells us that the total number of female students is 0.6 * 400 = 240.
- It also tells us that three-fourths of the total number of French students are female.
- However, this statement does not provide any information about the number of students taking Spanish or the gender breakdown within the Spanish students.
- Therefore, statement (1) alone is not sufficient to answer the question.

Statement (2): Of the 400 students, twice as many females as males take Spanish, and three-fourths of the 160 French students are female.
- This statement tells us that the number of female students taking Spanish is twice the number of male students taking Spanish.
- It also tells us that three-fourths of the French students are female, which means 0.75 * 160 = 120 French students are female.
- However, this statement does not provide any information about the total number of Spanish students or the gender breakdown within the Spanish students.
- Therefore, statement (2) alone is not sufficient to answer the question.

Statements (1) and (2) together:
- Combining the information from both statements, we know that three-fourths of the French students are female (from statement 1) and three-fourths of the 160 French students are female (from statement 2).
- This implies that the total number of French students is 160 / (3/4) = 213.33 (which is not possible since the number of students must be a whole number).
- Therefore, the information provided in both statements is inconsistent and contradictory.
- Hence, statements (1) and (2) together are not sufficient to answer the question.

Conclusion:
- Neither statement alone is sufficient to answer the question.
- Therefore, the correct answer is option (B) - Statement (2) alone is sufficient, but statement (1) alone is not sufficient to answer the question asked.
Community Answer
If all of the students at FDR High School take either French or Spanis...
Statement (1): Of the 400 students, females account for 60% of the student body and three-fourths of the total number of French students. This statement tells us the proportion of female students in the school (60%) and the proportion of female French students (three-fourths). However, it does not provide any specific information about the number of female students taking Spanish or the total number of Spanish students. Therefore, statement (1) alone is not sufficient to answer the question.
Statement (2): Of the 400 students, twice as many females as males take Spanish, and three-fourths of the 160 French students are female. This statement provides information about the ratio of female to male Spanish students (twice as many females), and the proportion of female French students (three-fourths). However, it does not give us the specific counts of female Spanish students or the total number of Spanish students. Therefore, statement (2) alone is not sufficient to answer the question.
When we consider both statements together, we still don't have enough information to determine the number of female students who took Spanish. We know the proportion of female French students from statement (1) and the ratio of female to male Spanish students from statement (2), but we still don't have the necessary data to calculate the exact number of female Spanish students.
Therefore, the correct answer is B: Statement (2) ALONE is sufficient, but statement (1) alone is not sufficient to answer the question asked.
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If all of the students at FDR High School take either French or Spanish as a foreign language, how many female students took Spanish?(1) Of the 400 students, females account for 60% of the student body and three-fourths of the total number of French students.(2) Of the 400 students, twice as many females as males take Spanish, and three-fourths of the 160 French students are female.a)Statement (1) ALONE is sufficient, but statement (2) alone is not sufficient to answer the question askedb)Statement (2) ALONE is sufficient, but statement (1) alone is not sufficient to answer the question askedc)BOTH statements (1) and (2) TOGETHER are sufficient to answer the question asked, but NEITHER statement ALONE is sufficientd)EACH statement ALONE is sufficient to answer the question askede)Statements (1) and (2) TOGETHER are NOT sufficient to answer the question asked, and additional data are neededCorrect answer is option 'B'. Can you explain this answer?
Question Description
If all of the students at FDR High School take either French or Spanish as a foreign language, how many female students took Spanish?(1) Of the 400 students, females account for 60% of the student body and three-fourths of the total number of French students.(2) Of the 400 students, twice as many females as males take Spanish, and three-fourths of the 160 French students are female.a)Statement (1) ALONE is sufficient, but statement (2) alone is not sufficient to answer the question askedb)Statement (2) ALONE is sufficient, but statement (1) alone is not sufficient to answer the question askedc)BOTH statements (1) and (2) TOGETHER are sufficient to answer the question asked, but NEITHER statement ALONE is sufficientd)EACH statement ALONE is sufficient to answer the question askede)Statements (1) and (2) TOGETHER are NOT sufficient to answer the question asked, and additional data are neededCorrect answer is option 'B'. 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 If all of the students at FDR High School take either French or Spanish as a foreign language, how many female students took Spanish?(1) Of the 400 students, females account for 60% of the student body and three-fourths of the total number of French students.(2) Of the 400 students, twice as many females as males take Spanish, and three-fourths of the 160 French students are female.a)Statement (1) ALONE is sufficient, but statement (2) alone is not sufficient to answer the question askedb)Statement (2) ALONE is sufficient, but statement (1) alone is not sufficient to answer the question askedc)BOTH statements (1) and (2) TOGETHER are sufficient to answer the question asked, but NEITHER statement ALONE is sufficientd)EACH statement ALONE is sufficient to answer the question askede)Statements (1) and (2) TOGETHER are NOT sufficient to answer the question asked, and additional data are neededCorrect answer is option 'B'. Can you explain this answer? covers all topics & solutions for GMAT 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for If all of the students at FDR High School take either French or Spanish as a foreign language, how many female students took Spanish?(1) Of the 400 students, females account for 60% of the student body and three-fourths of the total number of French students.(2) Of the 400 students, twice as many females as males take Spanish, and three-fourths of the 160 French students are female.a)Statement (1) ALONE is sufficient, but statement (2) alone is not sufficient to answer the question askedb)Statement (2) ALONE is sufficient, but statement (1) alone is not sufficient to answer the question askedc)BOTH statements (1) and (2) TOGETHER are sufficient to answer the question asked, but NEITHER statement ALONE is sufficientd)EACH statement ALONE is sufficient to answer the question askede)Statements (1) and (2) TOGETHER are NOT sufficient to answer the question asked, and additional data are neededCorrect answer is option 'B'. Can you explain this answer?.
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