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At a certain school, is the number of biology students greater than the number of chemistry students?
(1) Of the biology students, 30 percent are also chemistry students.
(2) Of the chemistry students, 40 percent are also biology students.
  • 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 'C'. Can you explain this answer?
Verified Answer
At a certain school, is the number of biology students greater than th...
(1) Of the biology students, 30 percent are also chemistry students.
So, the overlap between the two numbers is 30% of chemistry students.
But the two numbers are not given.
Not Sufficient.
(2) Of the chemistry students, 40 percent are also biology students.
So, the overlap between the two numbers is 40% of biology students.
But the two numbers are not given.
Not Sufficient.
Combining:
The overlap is 30% of chemistry students and 40% of biology students and since the overlap is the same for both means it constitutes bigger chunk from biology than chemistry.
If mathematical representation makes things easier than here it is:
0.3c = 0.4b
c/b = 4/3
So, chemistry students number must be higher than biology.
C is sufficient.
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Most Upvoted Answer
At a certain school, is the number of biology students greater than th...
(1) Of the biology students, 30 percent are also chemistry students.
So, the overlap between the two numbers is 30% of chemistry students.
But the two numbers are not given.
Not Sufficient.
(2) Of the chemistry students, 40 percent are also biology students.
So, the overlap between the two numbers is 40% of biology students.
But the two numbers are not given.
Not Sufficient.
Combining:
The overlap is 30% of chemistry students and 40% of biology students and since the overlap is the same for both means it constitutes bigger chunk from biology than chemistry.
If mathematical representation makes things easier than here it is:
0.3c = 0.4b
c/b = 4/3
So, chemistry students number must be higher than biology.
C is sufficient.
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At a certain school, is the number of biology students greater than the number of chemistry students?(1) Of the biology students, 30 percent are also chemistry students.(2) Of the chemistry students, 40 percent are also biology students.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 'C'. Can you explain this answer?
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At a certain school, is the number of biology students greater than the number of chemistry students?(1) Of the biology students, 30 percent are also chemistry students.(2) Of the chemistry students, 40 percent are also biology students.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 'C'. 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 At a certain school, is the number of biology students greater than the number of chemistry students?(1) Of the biology students, 30 percent are also chemistry students.(2) Of the chemistry students, 40 percent are also biology students.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 'C'. Can you explain this answer? covers all topics & solutions for GMAT 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for At a certain school, is the number of biology students greater than the number of chemistry students?(1) Of the biology students, 30 percent are also chemistry students.(2) Of the chemistry students, 40 percent are also biology students.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 'C'. Can you explain this answer?.
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